TN 9th Maths half yearly original question paper with answers 2023 - by QB Admin - Jan 01, 2024 - View & Read

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 2 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Find the coordinates of the point which divides the line segment joining A(−5,11) and B(4,−7) in the ratio 7:2.

• 2)

  Find the coordinates of a point P on the line segment joining A(1, 2) and B(6, 7) in such a way that AP = \(\frac{2}{5}\)AB

• 3)

  The line segment joining A(6, 3) and B(−1, −4) is doubled in length by adding half of AB to each end. Find the coordinates of the new end points.

• 4)

  Using section formula, show that the points A(7, −5), B(9, −3) and C(13, 1) are collinear.

• 5)

  A line segment AB is increased along its length by 25% by producing it to C on the side of B. If A and B have the coordinates (−2,−3) and (2,1) respectively, then find the coordinates of C.

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 3 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Find the distance between the points (–4, 3), (2, –3).

• 2)

  Show that the points A(–4, –3), B(3, 1), C(3, 6), D(–4, 2) taken in that order form the vertices of a parallelogram.

• 3)

  Calculate the distance between the points A (7, 3) and B which lies on the x-axis whose abscissa is 11.

• 4)

  The abscissa of a point A is equal to its ordinate, and its distance from the point B(1, 3) is 10 units, What are the coordinates of A?

• 5)

  The point (x, y) is equidistant from the points (3, 4) and (–5, 6). Find a relation between x and y.

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 3 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Find the distance between the points (–4, 3), (2, –3).

• 2)

  Calculate the distance between the points A (7, 3) and B which lies on the x-axis whose abscissa is 11.

• 3)

  The point (x, y) is equidistant from the points (3, 4) and (–5, 6). Find a relation between x and y.

• 4)

  Show that the point (11, 2) is the centre of the circle passing through the points (1, 2), (3, –4) and (5, -6)

• 5)

  Determine whether the given set of points in each case are collinear or not (a, –2), (a, 3), (a, 0)

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 5 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Plot the points A(2, 4), B(–3, 5), C(–4, –5), D(4, –2) in the Cartesian plane  

• 2)

  Plot the following points (2, 0), (–5, 0), (3, 0), (–1, 0) in the Cartesian plane. Where do they lie?

• 3)

  Plot the points (–4, 3),(–3, 3),(–1, 3),(0, 3),(3, 3) in the Cartesian Plane. What can you say about the position of these points?

• 4)

  Plot the following points A(2, 2), B(–2, 2), C(–2, –1), D(2, –1) in the Cartesian plane. Discuss the type of the diagram by joining all the points taken in order

• 5)

  If the distance between the points (5,–2), (1, a), is 5 units, find the values of a.

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 5 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Show that (4, 3) is the centre of the circle passing through the points (9, 3), (7, –1), (–1, 3). Find the radius.

• 2)

  Verify that the following points taken in order form the vertices of a rhombus.
  A(3, –2), B (7, 6),C (–1, 2) and D (–5, –6)

• 3)

  Verify that the following points taken in order form the vertices of a rhombus.
  A (1, 1), B(2, 1),C (2, 2) and D(1, 2)

• 4)

  A(–1, 1), B(1, 3) and C(3, a) respectively and if AB = BC, then find ‘a’.

• 5)

  (i) Where do the following points lie?
  P (0, -4), Q(0, -1), R(0, 3), S(0, 6).
  (ii) Find the distance between the following points using coordinates given in question
  (a) P and R
  (b) Q and S
  (iii) Draw the line diagram for the given above points.

9th Standard English Medium Maths Subject Statistics Book Back 1 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Data available in an unorganized form is called __________ data

• 2)

  Let m be the mid point and b be the upper limit of a class in a continuous frequency distribution. The lower limit of the class is _______.

• 3)

  Which one of the following is not a measure of central tendency?

• 4)

  The mean of a set of seven numbers is 81. If one of the numbers is discarded, the mean of the remaining numbers is 78. The value of discarded number is _______.

• 5)

  A particular observation which occurs maximum number of times in a given data is called its _______.

9th Standard English Medium Maths Subject Statistics Book Back 1 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  The mean of the square of first 11 natural numbers is _______.

• 2)

  The mean of the first 10 prime numbers is ___________

• 3)

  The median of the first 10 whole numbers is ______________

• 4)

  The mean of a set of numbers is \(\bar X\). If each number is multiplied by z, the mean is _______.

• 5)

  Find the mean of the prime factors of 165.

9th Standard English Medium Maths Subject Statistics Book Back 3 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Find the Median of the given data: 36, 44, 86, 31, 37, 44, 86, 35, 60, 51

• 2)

  A researcher studying the behavior of mice has recorded the time (in seconds) taken by each mouse to locate its food by considering 13 different mice as 31, 33, 63, 33, 28, 29, 33, 27, 27, 34, 35, 28, 32. Find the median time that mice spent in searching its food.

• 3)

  The monthly salary of 10 employees in a factory are given below :
  Rs. 5000, Rs. 7000, Rs. 5000, Rs. 7000, Rs. 8000, Rs. 7000, Rs. 7000, Rs. 8000, Rs. 7000, Rs. 5000. Find the mean, median and mode

9th Standard English Medium Maths Subject Statistics Book Back 3 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  The following data gives the number of residents in an area based on their age. Find the average age of the residents

  Age	0-10	10-20	20-30	30-40	40-50	50-60
  Number of Residents	2	6	9	7	4	2

• 2)

  Find the mean for the following frequency table:

  Class Interval	100-120	120-140	140-160	160-180	180-200	200-220	220-240
  Frequency	10	8	4	4	3	1	2

• 3)

  Find the mean of the following distribution using Step Deviation Method.

  Class Interval	0-8	8-16	16-24	24-32	32-40	40-48
  Frequency (f)	10	20	14	16	18	22

• 4)

  Find the sum of the deviations from the arithmetic mean for the following observations:
  21, 30, 22, 16, 24, 28, 18, 17

• 5)

  The arithmetic mean of 6 values is 45 and if each value is increased by 4, then find the arithmetic mean of new set of values

9th Standard English Medium Maths Subject Statistics Book Back 5 Mark Questions with Solution updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Calculate the median for the following data:

  Height (cm)	160	150	152	161	156	154	155
  No. of Students	12	8	4	4	3	3	7

• 2)

  The following table gives the weekly expenditure of 200 families. Find the median of the weekly expenditure.

  Weekly expenditure(Rs)	0-1000	1000-2000	2000-3000	3000-4000	4000-500
  Number of families	28	46	54	42	30

• 3)

  The Median of the following data is 24. Find the value of x.

  Class Interval (CI)	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50
  Frequency (f)	6	24	x	16	9

• 4)

  Find the mode for the following data

  Marks	1-5	6-10	11-15	16-20	21-25
  No. of students	7	10	16	32	24

• 5)

  In a distribution, the mean and mode are 66 and 60 respectively. Calculate the median.

9th Standard English Medium Maths Subject Trigonometry Book Back 1 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  if sin 30⁰ = x and cos 60⁰ = y, then x²  + y² is________.

• 2)

  If tan \(\theta\) cot 37⁰ , then the value of \(\theta\) is ________.

• 3)

  The value of tan72° tan18° is ________.

• 4)

  The value of \(\frac { tan15° }{ cot75° } \) is

• 5)

  The value of \(\frac { 2tan\ 30° }{ 1-{ tan }^{ 2 }30° } \) is equal to ________.

9th Standard English Medium Maths Subject Trigonometry Book Back 1 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  If cos A = \(\frac { 3 }{ 5 } \), them the value of tan A is

• 2)

  The value of cosec(70⁰ + \(\theta\)) - sec(20⁰ - \(\theta\)) + tan(65⁰ + \(\theta\)) - cot(25⁰ - \(\theta\)) is ________.

• 3)

  The value of tan 1° tan 2° tan 3°...tan 89° is ________.

• 4)

  Given that sin \(\alpha\) = \(\frac { 1 }{ 2 } \) and cos \(\beta\) = \(\frac { 1 }{ 2 } \), then the value of \(\alpha\) + \(\beta\) is ________.

• 5)

  The value of \(\frac { sin{ 29 }^{ 0 }31' }{ cos{ 60 }^{ 0 }29' } \) is

9th Standard English Medium Maths Subject Trigonometry Book Back 2 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  From the given figure, find all the trigonometric ratios of angle B.
  

• 2)

  From the given figure, find all the trigonometric ratios of angle \(\theta\)
  

• 3)

  From the given figure, find the values of 
  (i) sin B
  (ii) sec B
  (iii) cot B  
  (iv) cos C
  (v) tan C
  (vi) cosec C
  

• 4)

  If 2cos \(\theta\) = \(\sqrt { 3 } \), then find all the trigonometric ratios of angle \(\theta\)

• 5)

  If cos A = \(\frac { 3 }{ 5 } \), then find the value of \(\frac { sinA-cosA }{ 2tanA } \)

9th Standard English Medium Maths Subject Trigonometry Book Back 2 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Find the value of the following: 
   \(\left( \frac { cos47° }{ sin43° } \right) +\left( \frac { sin72° }{ cos18° } \right) -2\cos^{ 2 }45°\)

• 2)

  Find the value of the following:
  (i) sin 49°
  (ii) cos 74⁰39'
  (iii) tan 54⁰26'
  (iv) sin 21⁰21'
  (v) cos 33⁰53'
  (vi) tan 70⁰17'

• 3)

  Find the value of \(\theta\) if
  (i) sin \(\theta\) = 0.9975
  (ii) cos \(\theta\) = 0.6763
  (iii) tan \(\theta\) = 0.0720
  (iv) cos \(\theta\) = 0.0410
  (v) tan \(\theta\) = 7.5958

• 4)

  Find the value of the following:
  (i) sin65⁰39' + cos24⁰57' + tan10⁰10'
  (ii) tan70⁰58' + cos15⁰26' - sin84⁰59'

• 5)

  Find the area of a right triangle whose hypotenuse is 10cm and one of the acute angle is 24⁰24'

9th Standard English Medium Maths Subject Trigonometry Book Back 3 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  For the measures in the figure, compute sine, cosine and tangent ratios of the angle \(\theta \)
  

• 2)

  Find the six trigonometric ratios of the angle \(\theta\) using the given diagram.
  

• 3)

  If tan A  = \(\frac { 2 }{ 3 } \) , then find all the other trigonometric ratios.
  

• 4)

  If sec \(\theta\) = \(\frac { 13 }{ 5 } \), then show that \(\frac { 2sin\theta -3cos\theta }{ 4sin\theta -9cos\theta } \) = 3

• 5)

  Express
  (i) sin 74° in terms of cosine
  (ii) tan 12° in terms of cotangent
  (iii) cosec 39° in terms of secant

9th Standard English Medium Maths Subject Trigonometry Book Back 3 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  If tan A  = \(\frac { 2 }{ 3 } \) , then find all the other trigonometric ratios.
  

• 2)

  If sec \(\theta\) = \(\frac { 13 }{ 5 } \), then show that \(\frac { 2sin\theta -3cos\theta }{ 4sin\theta -9cos\theta } \) = 3

• 3)

  Express
  (i) sin 74° in terms of cosine
  (ii) tan 12° in terms of cotangent
  (iii) cosec 39° in terms of secant

• 4)

  Find the values of
  (i) tan7° tan23° tan60° tan67° tan83°  
  (ii) \(\frac { cos35° }{ sin55° } +\frac { sin12° }{ cos78° } -\frac { cos18° }{ sin72° } \)

• 5)

  (i) If cosec A = sec 34⁰, then find A
  (ii) If tan B = cot 47⁰, then find B.

9th Standard English Medium Maths Subject Trigonometry Book Back 5 Mark Questions with Solution updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Find the values of the following:
  (i) (cos 0⁰ + sin 45⁰ + sin 30⁰)(sin 90⁰ - cos 45⁰ + cos 60⁰)
  (ii) tan²60⁰ - 2tan²45⁰ - cot²30⁰ +2sin²30⁰ + \(\frac { 3 }{ 4 } \) cosec² 45⁰

• 2)

  Find the value of \(\theta\) if
  (i) sin \(\theta\) = 0.9858
  (ii) cos\(\theta\) = 07656

• 3)

  Find the value of the following: 
  \(\frac { cos70° }{ sin20° } +\frac { cos59° }{ sin31° } +\frac { cos\theta }{ sin\left( 90°-\theta \right) } -8 \cos^{ 2 }60°\)

• 4)

  Find the value of the following: 
   tan15° tan30° tan45° tan60° tan75°

• 5)

  Find the value of the following:
  \(\frac { cot\theta }{ tan\left( 90°-\theta \right) } +\frac { cos\left( 90°-\theta \right) tan\theta sec\left( 90°-\theta \right) }{ sin\left( 90°-\theta \right) cosec\left( 90°-\theta \right) } \)

9th Standard English Medium Maths Subject Mensuration Book Back 1 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  The area of a triangle whose sides are a, b and c is ________

• 2)

  The semi-perimeter of a triangle having sides 15 cm, 20 cm and 25 cm is _______.

• 3)

  If the sides of a triangle are 3 cm, 4 cm and 5 cm, then the area is _______.

• 4)

  The perimeter of an equilateral triangle is 30 cm. The area is _______.

• 5)

  The total surface area of a cuboid is ______________

9th Standard English Medium Maths Subject Mensuration Book Back 1 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  The total surface area of a cuboid with dimension 10 cm × 6 cm × 5 cm is _______.

• 2)

  If the ratio of the sides of two cubes are 2:3, then ratio of their surface areas will be _______.

• 3)

  The volume of a cuboid is 660 cm³ and the area of the base is 33 cm². Its height is _______.

• 4)

  The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is _______.

• 5)

  The number of bricks each measuring 50 cm × 30 cm × 20 cm that will be required to build a wall whose dimensions are 5 m × 3 m × 2 m is _______.

9th Standard English Medium Maths Subject Mensuration Book Back 2 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Using Heron’s formula, find the area of a triangle whose sides are
  (i) 10 cm, 24 cm, 26 cm
  (ii) 1.8 m, 8 m, 8.2 m

• 2)

  The sides of the triangular ground are 22 m, 120 m and 122 m. Find the area and cost of levelling the ground at the rate of Rs. 20 per m².

• 3)

  The perimeter of a triangular plot is 600 m. If the sides are in the ratio 5:12:13, then find the area of the plot

• 4)

  Find the area of an equilateral triangle whose perimeter is 180 cm.

• 5)

  An advertisement board is in the form of an isosceles triangle with perimeter 36m and each of the equal sides are 13 m. Find the cost of painting it at Rs. 17.50 per square metre.

9th Standard English Medium Maths Subject Mensuration Book Back 2 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Find the TSA and LSA of the cube whose side is
  (i) 8 m
  (ii) 21 cm
  (iii) 7.5 cm

• 2)

  If the total surface area of a cube is 2400 cm² then, find its lateral surface area.

• 3)

  Find the volume of a cuboid whose dimensions are
  (i) length = 12 cm, breadth = 8 cm, height = 6 cm
  (ii) length = 60 m, breadth = 25 m, height = 1.5 m

• 4)

  The dimensions of a match box are 6 cm × 3.5 cm × 2.5 cm. Find the volume of a packet containing 12 such match boxes.

• 5)

  The length, breadth and height of a chocolate box are in the ratio 5:4:3. If its volume is 7500 cm³, then find its dimensions.

9th Standard English Medium Maths Subject Mensuration Book Back 3 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  The lengths of sides of a triangular field are 28 m, 15 m and 41 m. Calculate the area of the field. Find the cost of levelling the field at the rate of Rs. 20 per m²

• 2)

  Three different triangular plots are available for sale in a locality. Each plot has a perimeter of 120 m. The side lengths are also given:

  Shape of plot	Perimeter	Length of sides
  Right angled triangle	120m	30m, 40m, 50m
  Acute angled triangle	120 m	35 m, 40 m, 45 m
  Equilateral triangle	120 m	40 m, 40 m, 40 m

  Help the buyer to decide which among these will be more spacious.

• 3)

  The sides of a triangular park are in the ratio 9:10:11 and its perimeter is 300 m. Find the area of the triangular park.

• 4)

  Find the TSA and LSA of a cuboid whose length, breadth and height are 7.5 m, 3 m and 5 m respectively.

• 5)

  A closed wooden box is in the form of a cuboid. Its length, breadth and height are 6 m, 1.5 m and 300 cm respectively. Find the total surface area and cost of painting its entire outer surface at the rate of Rs. 50 per m².

9th Standard English Medium Maths Subject Mensuration Book Back 3 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  The length, breadth and height of a hall are 25 m, 15 m and 5 m respectively. Find the cost of renovating its floor and four walls at the rate of Rs. 80 per m².

• 2)

  Find the Total Surface Area and Lateral Surface Area of the cube, whose side is 5 cm.
  

• 3)

  The length, breadth and height of a cuboid is 120 mm, 10 cm and 8 cm respectively. Find the volume of 10 such cuboids.

• 4)

  The length, breadth and height of a cuboid are in the ratio 7: 5: 2. Its volume is 35840 cm³. Find its dimensions.

• 5)

  The dimensions of a fish tank are 3.8 m × 2.5 m × 1.6 m. How many litres of water it can hold?
  

9th Standard English Medium Maths Subject Probability Book Back 1 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  A number between 0 and 1 that is used to measure uncertainty is called _______.

• 2)

  Probability lies between _______.

• 3)

  The probability based on the concept of relative frequency theory is called _______.

• 4)

  The probability of an event cannot be _______.

• 5)

  A random experiment contains

9th Standard English Medium Maths Subject Probability Book Back 1 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Which of the following cannot be taken as probability of an event?

• 2)

  A particular result of an experiment is called _______.

• 3)

  A collection of one or more outcomes of an experiment is called _______.

• 4)

  The six faces of the dice are called equally likely if the dice is _______.

• 5)

  A letter is chosen at random from the word “STATISTICS”. The probability of getting a vowel is

9th Standard English Medium Maths Subject Probability Book Back 2 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  You are walking along a street. If you just choose a stranger crossing you, what is the probability that his next birthday will fall on a sunday?

• 2)

  What is the probability of drawing a King or a Queen or a Jack from a deck of cards?

• 3)

  What is the probability of throwing an even number with a single standard dice of six faces?

• 4)

  There are 24 balls in a pot. If 3 of them are Red, 5 of them are Blue and the remaining are Green then, what is the probability of picking out
  (i) a Blue ball 
  (ii) a Red ball and
  (iii) a Green ball?

• 5)

  When two coins are tossed, what is the probability that two heads are obtained?

9th Standard English Medium Maths Subject Probability Book Back 2 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Two dice are rolled, find the probability that the sum is
  (i) equal to 1
  (ii) equal to 4
  (iii) less than 13
  

• 2)

  Frame two problems in calculating probability, based on the spinner shown here.
  

• 3)

  A company manufactures 10000 Laptops in 6 months. In that 25 of them are found to be defective. When you choose one Laptop from the manufactured, what is the probability that selected Laptop is a good one.

• 4)

  In a survey of 400 youngsters aged 16-20 years, it was found that 191 have their voter ID card. If a youngster is selected at random, find the probability that the youngster does not have their voter ID card.

• 5)

  1500 families were surveyed and following data was recorded about their maids at homes

  Type of maids	Only part time	Only full time	Both
  Number of families	860	370	250

  A family is selected at random. Find the probability that the family selected has
  (i) Both types of maids
  (ii) Part time maids
  (iii) No maids

9th Standard English Medium Maths Subject Probability Book Back 3 Mark Questions with Solution updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  When a dice is rolled, find the probability to get the number greater than 4?

• 2)

  In an office, where 42 staff members work, 7 staff members use cars, 20 staff members use two-wheelers and the remaining 15 staff members use cycles. Find the relative frequencies.

• 3)

  Team I and Team II play 10 cricket matches each of 20 overs. Their total scores in each match are tabulated in the table as follows:

  Match numbers	1	2	3	4	5	6	7	8	9	10
  Team I	200	122	111	88	156	184	99	199	121	156
  Team II	143	123	156	92	164	72	100	201	98	157

  What is the relative frequency of Team I winning?

• 4)

  The probability that it will rain tomorrow is \(\\ \frac { 91 }{ 100 } \). What is the probability that it will not rain tomorrow?

• 5)

  In a recent year, of the 1184 centum scorers in various subjects in tenth standard public exams, 233 were in mathematics. 125 in social science and 106 in science. If one of the student is selected at random, find the probability of that selected student,
  (i) is a centum scorer in Mathematics
  (ii) is not a centum scorer in Science

9th Standard English Medium Maths Subject Book Back 1 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  The set P = {x | x ∈ Z , –1 < x < 1} is a –––––––––.

• 2)

  If U = {x | x ∈ N, x < 10} and A = {x | x ∈ N, 2 ≤ x < 6} then (A′)′ is –––––––––.

• 3)

  From the adjacent diagram n[P(AΔB)] is ________.
  

• 4)

  The smallest rational number by which \(\frac { 1 }{ 3 } \)  should be multiplied so that its decimal expansion terminates after one place of decimal is   ________.

• 5)

  If x³ + 6x² + kx + 6 is exactly divisible by (x + 2), then k= ?

9th Standard English Medium Maths Subject Book Back 1 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  The set P = {x | x ∈ Z , –1 < x < 1} is a –––––––––.

• 2)

  If B ⊆ A then n(A∩B) is –––––––––.

• 3)

  If X = {x : x = 4(n – 1), n ∈ N} and Y = {y : y = 3n – 2n – 1, n ∈ N}, then X∪Y is ______________

• 4)

  In a class of 50 boys, 35 boys play Carrom and 20 boys play Chess then the number of boys play both games is________.

• 5)

  If J = Set of three sided shapes, K = Set of shapes with two equal sides and L = Set of shapes with right angle, then J ∩ K ⋂ L is ________.

9th Standard English Medium Maths Subject Book Back 2 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Write the set of letters of the following words in Roster form
  PRINCIPAL

• 2)

  Are P = { x : –3 ≤ x ≤ 0, x ∈ Z} and Q = The set of all prime factors of 210, equivalent sets?

• 3)

  Write all the subsets of A = {a, b}.

• 4)

  Draw Venn diagram and shade the region representing the following sets
  (i) A′

• 5)

  If n(A) = 36, n(B) = 10, n(A∪B) = 40, and n(A′) = 27 find n(U) and n(A∩B).

9th Standard English Medium Maths Subject Book Back 2 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  The arch of a bridge has dimensions as shown, where the arch measure 2m at its highest point and its width is 6m. What is the radius of the circle that contains the arch?
  

• 2)

  In the given figure, ㄥPOQ = 100^o and ㄥPQR = 30^o, then find ㄥRPO
  

• 3)

  Write down the abscissa and ordinate of the following.
  (i) P
  (ii) Q
  (iii) R
  (iv) S
  

• 4)

  Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure?  
  (–5, 3) (–1, 3) (0, 3) (5, 3)

• 5)

  Prove that the diagonals of the parallellogram bisect each other. [Hint: Take scale on both axes as 1 cm = a units]

9th Standard English Medium Maths Subject Book Back 3 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Insert the appropriate symbol ∈ (belongs to) or ∉ (does not belong to) in the blanks.

• 2)

  Verify A∩(B∪C)=(A∩B)∪(A∩C) using Venn diagrams.

• 3)

  If A = {11,13,14,15,16,18}, B = {11,12,15,16,17,19}, and C = {13,15,16,17,18,20}, then verify \(A\cap (B\cup C)=(A\cap B)\cup (A\cap C)\).

• 4)

  Verify A -(BUC) = (A-B)∩(A-C) using Venn diagrams.

• 5)

  Express the following decimal expression into rational numbers -\(21.21\overline {37}\)

9th Standard English Medium Maths Subject Book Back 3 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?

• 2)

  If A = {b,e,f,g} and B = {c,e,g,h}, then verify the commutative property of
  (i) union of sets
  (ii) intersection of sets.

• 3)

  In a group of 100 students, 85 students speak Tamil, 40 students speak English, 20 students speak French, 32 speak Tamil and English, 13 speak English and French and 10 speak Tamil and French. If each student knows atleast any one of these languages, then find the number of students who speak all these three languages.

• 4)

  If A = {-2,0,1,3,5}, B = {-1,0,2,5,6} and C = {-1,2,5,6,7} then show that A-(BUC) = (A-B)∩(A-C).

• 5)

  Identify the type of numbers needed to solve the simple equations given here. Question 1 and 2 are solved for you, as examples. (Perhaps -the number systems developed gradually depending on the needs of 'answers' during such problem solving!)

  S.No	Equation	Solution	Type of number in the solution
  1	x - 7 = 17	x = 24	Natural number
  2	x + 5 = 5	x = 0	Whole number
  3	x + 1 = 9
  4	x + 9 = 1
  5	7x = 19
  6	5x = -3
  7	x2 - 2 = 0

9th Standard English Medium Maths Subject Book Back 5 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  If A, B and C are overlapping sets, then draw Venn diagram for the following sets:
  (i) (A-B)\(\cap \)C
  (ii) (A\(\cup \)C)-B
  (iii) A-(A\(\cap \)C)
  (iv) (B\(\cup \)C)-A
  (v) A\(\cap \)B\(\cap \)C

• 2)

  If A = {y : y =\(\frac { a+1 }{ 2 } \), a \(\in \) W and a ≤ 5}, B = {y : y =\(\frac { 2n-1 }{ 2 } \), n\(\in \)W and n < 5} and C =\(\left\{ -1,-\frac { 1 }{ 2 } ,1,\frac { 3 }{ 2 } ,2 \right\} \), then show that \(A-(B\cup C)=(A-B)\cap (A-C)\).

• 3)

  A survey of 1000 farmers found that 600 grew paddy, 350 grew ragi, 280 grew corn, 120 grew paddy and ragi, 100 grew ragi and corn, 80 grew paddy and corn. If each farmer grew atleast any one of the above three, then find the number of farmers who grew all the three.

• 4)

  A survey was conducted among 200 magazine subscribers of three different magazines A, B and C. It was found that 75 members do not subscribe magazine A, 100 members do not subscribe magazine B, 50 members do not subscribe magazine C and 125 subscribe atleast two of the three magazines. Find
  (i) Number of members who subscribe exactly two magazines.
  (ii) Number of members who subscribe only one magazine

• 5)

  In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who
  (i) like both tea and coffee.
  (ii) do not like Tea.
  (iii) do not like coffee

9th Standard English Medium Maths Subject Book Back 5 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Each student in a class of 35 plays atleast one game among chess, carrom and table tennis. 22 play chess, 21 play carrom, 15 play table tennis, 10 play chess and table tennis, 8 play carrom and table tennis and 6 play all the three games. Find the number of students who play (Hint: Use Venn diagram)
  (i) chess and carrom but not table tennis
  (ii) only chess
  (iii) only carrom.

• 2)

  In a village of 100 families, 65 families buy Tamil newspapers and 55 families buy English newspapers. Find the number of families who buy
  (i) Both Tamil and English newspapers.
  (ii) Tamil newspapers only
  (iii) English newspapers only.

• 3)

  Find any two irrational numbers between \(\sqrt { 2 } \) and \(\sqrt { 3 } \)

• 4)

  Represent \(3.4\bar { 5 } \) on the number line Upto 4 decimal places

• 5)

  Simplify the following using multiplication and division properties of surds:
  (i) \(\sqrt { 3 } \times \sqrt { 5 } \times \sqrt { 2 } \)
  (ii) \(\sqrt { 35 } \div \sqrt { 7 } \)
  (iii) \(\sqrt [ 3 ]{ 27 } \times \sqrt [ 3 ]{ 8 } \times \sqrt [ 3 ]{ 125 } \)
  (iv) \((7\sqrt { a } -5\sqrt { b } )(7\sqrt { a } +5\sqrt { b } )\)
  (v) \(\left[ \sqrt { \frac { 225 }{ 729 } } -\sqrt { \frac { 25 }{ 144 } } \right] \div \sqrt { \frac { 16 }{ 81 } } \)

9th Standard English Medium Maths Subject Set Language Book Back 1 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Which of the following is correct?

• 2)

  The set P = {x | x ∈ Z , –1 < x < 1} is a –––––––––.

• 3)

  If U = {x | x ∈ N, x < 10} and A = {x | x ∈ N, 2 ≤ x < 6} then (A′)′ is –––––––––.

• 4)

  If B ⊆ A then n(A∩B) is –––––––––.

• 5)

  If A = {x, y, z} then the number of non - empty subsets of A is ________.

9th Standard English Medium Maths Subject Set Language Book Back 1 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  If n(A) = 10 and n(B) = 15, then the minimum and maximum number of elements in A ∩ B is ________.

• 2)

  If X = {x : x = 4(n – 1), n ∈ N} and Y = {y : y = 3n – 2n – 1, n ∈ N}, then X∪Y is ______________

• 3)

  Let A = {∅} and B = P(A), then A∩B is ________.

• 4)

  If U = {x : x\(\in \)N and x<10}, A = {1, 2, 3, 5, 8} and B = {2, 5, 6, 7, 9}, then n[(A∪B)′] is  ________.

• 5)

  For any three sets P, Q and R, P-(Q\(\\ \cap \)R) is ________.

9th Standard English Medium Maths Subject Set Language Book Back 2 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Write the set of letters of the following words in Roster form
  ASSESSMENT

• 2)

  Write the set of letters of the following words in Roster form
  PRINCIPAL

• 3)

  Write all the subsets of A = {a, b}.

• 4)

  Insert the appropriate symbol \(\subseteq \) or \(\nsubseteq \) in each blank to make a true statement.
  {10, 20, 30} ____ {10, 20, 30, 40}

• 5)

  Insert the appropriate symbol \(\subseteq \) or \(\nsubseteq \) in each blank to make a true statement.
  {p, q, r} _____ {w, x, y, z}

9th Standard English Medium Maths Subject Set Language Book Back 2 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Which of the following are sets?
  The Collection of rich people in India

• 2)

  Which of the following are sets?
  The Collection of good Hockey players.

• 3)

  Represent the following sets in set builder form.
  B = The set of all Cricket players in India who scored double centuries in One Day Internationals.

• 4)

  Find the cardinal number of the following sets.
  S = The set of all leap years between 1882 and 1906.

• 5)

  Using the given Venn diagram, write the elements of A
  

9th Standard English Medium Maths Subject Set Language Book Back 3 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?

• 2)

  If K = {a,b,d e f }  L = {b,c,d,g} and M = {a,b,c,d,h}, then find the following:
  (i) K \(\cup \)(L \(\cap \) M)
  (ii) K \(\cap \)(L \(\cup \) M)
  (iii) (K\(\cup \)L)\(\cap \)(K\(\cup \)M)
  (iv) (K\(\cap \)L)\(\cup \)(K\(\cap \)M)

• 3)

  Verify \(A-(B\cap C)=(A-B)\cup (A-C)\)using Venn diagrams.

• 4)

  If U = {4,7,8,10,11,12,15,16}, A = {7,8,11,12,} and B = {4,8,12,15}, then verify De Morgan’s Laws for complementation.

• 5)

  Verify \((A\cap B)'=A'\cup B'\) using Venn diagrams.

9th Standard English Medium Maths Subject Set Language Book Back 3 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  If K = {a,b,d e f }  L = {b,c,d,g} and M = {a,b,c,d,h}, then find the following:
  (i) K \(\cup \)(L \(\cap \) M)
  (ii) K \(\cap \)(L \(\cup \) M)
  (iii) (K\(\cup \)L)\(\cap \)(K\(\cup \)M)
  (iv) (K\(\cap \)L)\(\cup \)(K\(\cap \)M)

• 2)

  Draw: Venn diagram for each of the following:
  (i) \(A\cup (B\cap C)\)
  (ii) \(A\cap (B\cup C)\)
  (iii) \((A\cup B)\cap C\)
  (iv) \((A\cap B)\cup C\)

• 3)

  If A = {b,c,e,g,h}, B = {a,c,d,g,i} and C = {a,d,e,g,h}, then show that \(A-(B\cap C)=(A-B)\cup (A-C)\).

• 4)

  In the adjacent diagram, if n(U) = 125, y is two times of x and z is 10 more than x, then find the value of x,y and z.
  

• 5)

  If P = {x : x\(\in \)W and 0 < x < 10} Q = {x : x = 2n+1, n\(\in \)W and n < 5} and R = {2, 3, 5, 7, 11, 13}  then verify P −(Q ⋂ R) = (P − Q) U (P − R).

9th Standard English Medium Maths Subject Set Language Book Back 5 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Using the adjacent Venn diagram, find the following sets:
  (i) A-B
  (ii) B-C
  (iii) A'\(\cup \)B')
  (iii) A'\(\cap \)B'
  (iv) (B\(\cup \)C)'
  (vi) A-(B\(\cup \)C)
  (vii) A-(B\(\cap \)C)
  

• 2)

  If A, B and C are overlapping sets, then draw Venn diagram for the following sets:
  (i) (A-B)\(\cap \)C
  (ii) (A\(\cup \)C)-B
  (iii) A-(A\(\cap \)C)
  (iv) (B\(\cup \)C)-A
  (v) A\(\cap \)B\(\cap \)C

• 3)

  If A = {x : x = 6n, n\(\in \)W and n < 6}, B = {x : x = 2n, n \(\in \)N and 2 < n ≤ 9} and C = {x : x = 3n, n\(\in \)N and 4n ≤ n < 10}, then show that \(A-(B\cap C)=(A-B)\cup (A-C)\).

• 4)

  If A = {y : y =\(\frac { a+1 }{ 2 } \), a \(\in \) W and a ≤ 5}, B = {y : y =\(\frac { 2n-1 }{ 2 } \), n\(\in \)W and n < 5} and C =\(\left\{ -1,-\frac { 1 }{ 2 } ,1,\frac { 3 }{ 2 } ,2 \right\} \), then show that \(A-(B\cup C)=(A-B)\cap (A-C)\).

• 5)

  Verify \(n\left( A\cup B\cup C \right) =n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\)for the following sets.
  (i) A = {a, c, e, f , h} , B = {c, d, e, f } and C = {a, b, c, f }
  (ii) A = {1, 3, 5} , B = {2, 3, 5, 6} and C = {1, 5, 6, 7}

9th Standard English Medium Maths Subject Set Language Book Back 5 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  A survey was conducted among 200 magazine subscribers of three different magazines A, B and C. It was found that 75 members do not subscribe magazine A, 100 members do not subscribe magazine B, 50 members do not subscribe magazine C and 125 subscribe atleast two of the three magazines. Find
  (i) Number of members who subscribe exactly two magazines.
  (ii) Number of members who subscribe only one magazine

• 2)

  In a village of 100 families, 65 families buy Tamil newspapers and 55 families buy English newspapers. Find the number of families who buy
  (i) Both Tamil and English newspapers.
  (ii) Tamil newspapers only
  (iii) English newspapers only.

• 3)

  In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who
  (i) like both tea and coffee.
  (ii) do not like Tea.
  (iii) do not like coffee

• 4)

  In an examination 50% of the students passed in Mathematics and 70% of students passed in Science while 10% students failed in both subjects. 300 students passed in atleast one subject. Find the total number of students who appeared in the examination, if they took examination in only two subjects.

• 5)

  A and B are two sets such that n(A – B) = 32 + x, n(B – A) = 5x and n(A∩B) = x. Illustrate the information by means of a Venn diagram. Given that n(A) = n(B), calculate the value of x.

9th Standard English Medium Maths Subject Real Numbers Book Back 1 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  If n is a natural number then \(\sqrt { n } \) is ________.

• 2)

  Which of the following is not true?

• 3)

  Which one of the following, regarding sum of two irrational numbers, is true?

• 4)

  Which one of the following has a terminating decimal expansion?

• 5)

  Which one of the following is an irrational number.

9th Standard English Medium Maths Subject Real Numbers Book Back 1 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  \(0.\overline { 34 } +0.3\bar { 4 } \) = ________.

• 2)

  Which of the following statement is false?

• 3)

  \(\sqrt{27}\)+\(\sqrt{12}\) = ________.

• 4)

  If \(\sqrt{80}\) = 5\(\sqrt{5}\) , then k= ________.

• 5)

  4\(\sqrt{7}\) \(\times\) 2\(\sqrt{3}\) =  ________.

9th Standard English Medium Maths Subject Real Numbers Book Back 2 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Write the following in the form of 5ⁿ:
  \(\frac{1}{5}\)

• 2)

  Write the following in the form of 4ⁿ:
  32

• 3)

  Find the value of \(\left( 49 \right) ^{ \frac { 1 }{ 2 } }\)

• 4)

  Find the value of \(\left( \frac { 64 }{ 125 } \right) ^{ \frac { -2 }{ 3 } }\)

• 5)

  If x = \(\sqrt{5}\) + 2, then find the value of \({ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \)

9th Standard English Medium Maths Subject Real Numbers Book Back 2 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Write the following numbers in decimal form:
  6.34 \(\times\)10⁴

• 2)

  Find any five rational numbers between
  (i) \(\frac { 1 }{ 4 } \) and \(1\over 5\)
  (ii) 0.1 and 0.11
  (iii) -1 and -2

• 3)

  Express the rational number \(\frac { 1 }{ 27 } \)  in recurring decimal form by using the recurring decimal expansion of \(1\over3\). Hence write\(\frac { 59 }{ 27 } \) in recurring decimal form.

• 4)

  Convert the following decimal numbers in the form of \(\frac { p }{ q } \), where p and q are integers and q ≠ 0 :
  (i) 0.35
  (ii) 2.176
  (iii) -0.0028

• 5)

  Convert the following decimal numbers in the form of \(\frac { p }{ q } (p,q\in Z\ and\ q\neq 0)\)
  (i) \(0.\overline { 3 } \)
  (ii) \(2.\overline { 124 } \)
  (iii) \(0.4\overline { 5 } \)
  (iv) \(0.5\overline { 68 } \)

9th Standard English Medium Maths Subject Real Numbers Book Back 3 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Express the following decimal expression into rational numbers. \(0.\overline { 24 } \)

• 2)

  Express the following decimal expression into rational numbers. \(2.\overline { 327 } \)

• 3)

  Express the following decimal expression into rational numbers \(3.1\overline { 7 } \)

• 4)

  Express the following decimal expression into rational numbers \(0.\overline { 0001 } \)

• 5)

  Find the decimal expansion of \(\sqrt { 3 } \)

9th Standard English Medium Maths Subject Real Numbers Book Back 3 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Express the following decimal expression into rational numbers. 0.86

• 2)

  Can you get a rational number when you compute
  (i) the sum of two surds
  (ii) the difference of two surds
  (iii) the product of two surds
  (iv) the quotient of two surds
  Justify each answer with an example.

• 3)

  Rationalise the denominator and simplify \(\frac { \sqrt { 48 } +\sqrt { 32 } }{ \sqrt { 27 } -\sqrt { 18 } } \) .

• 4)

  Rationalise the denominator and simplify \(\frac { \sqrt { 5 } }{ \sqrt { 6 } +2 } -\frac { \sqrt { 5 } }{ \sqrt { 6 } -2 } \)

• 5)

  Represent the following numbers in scientific notation:
  (i) (300000)² \(\times\) (20000)⁴
  (ii) (0.000001)¹¹ ÷ (0.005)³
  (iii) \( \{ (0.00003 ) ^{ 6 }\times (0.00005)^{ 4 }\} \div \{ (0.009)^{ 3 }\times (0.05)^{ 2 }\} \)

9th Standard English Medium Maths Subject Real Numbers Book Back 5 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Represent the following irrational numbers on the number line \(\sqrt { 3 } \)

• 2)

  Represent the following irrational numbers on the number line \(\sqrt { 6.5 } \)

• 3)

  Find any two rational numbers between 2.2360679….. and 2.236505500….

• 4)

  Find any two irrational numbers between 0.3010011000111…. and 0.3020020002….

• 5)

  Find any two irrational numbers between\(\frac { 6 }{ 7 } \) and \(\frac { 12 }{ 13 } \)

9th Standard English Medium Maths Subject Real Numbers Book Back 5 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Find the 5^th root of 32

• 2)

  Find the 5^th root of 243.

• 3)

  Find the 5^th root of 100000

• 4)

  Simplify the following using multiplication and division properties of surds:
  (i) \(\sqrt { 3 } \times \sqrt { 5 } \times \sqrt { 2 } \)
  (ii) \(\sqrt { 35 } \div \sqrt { 7 } \)
  (iii) \(\sqrt [ 3 ]{ 27 } \times \sqrt [ 3 ]{ 8 } \times \sqrt [ 3 ]{ 125 } \)
  (iv) \((7\sqrt { a } -5\sqrt { b } )(7\sqrt { a } +5\sqrt { b } )\)
  (v) \(\left[ \sqrt { \frac { 225 }{ 729 } } -\sqrt { \frac { 25 }{ 144 } } \right] \div \sqrt { \frac { 16 }{ 81 } } \)

• 5)

  Arrange surds in descending order:
  (i) \(\sqrt [ 3 ]{ 5 } ,\sqrt [ 9 ]{ 4 } ,\sqrt [ 6 ]{ 3 } \)
  (ii) \(\sqrt [ 2 ]{ \sqrt [ 3 ]{ 5 } } ,\sqrt [ 2 ]{ \sqrt [ 3 ]{ 5 } } ,\sqrt [ 3 ]{ \sqrt [ 4 ]{ 7 } } ,\sqrt { \sqrt { 3 } } \) 

9th Standard English Medium Maths Subject Algebra Book Back 1 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  If x³ + 6x² + kx + 6 is exactly divisible by (x + 2), then k= ?

• 2)

  The root of the polynomial equation 2x + 3 = 0 is ________.

• 3)

  The type of the polynomial 4–3x³ is  ________.

• 4)

  x³ – x² is a …………..

• 5)

  If x⁵¹ + 51 is divided by x + 1, then the remainder is _______.

9th Standard English Medium Maths Subject Algebra Book Back 1 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  If (x + 5) and (x - 3) are the factors of ax²+bx+c, then values of a, b and c are _______.

• 2)

  Cubic polynomial may have maximum of ________ linear factors.

• 3)

  Degree of the constant polynomial is _______.

• 4)

  GCD of any two prime numbers is _______.

• 5)

  Which of the following statement is true for the equation 2x + 3y = 15

9th Standard English Medium Maths Subject Algebra Book Back 2 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Which of the following expressions are polynomials. If not give reason: x²(x-1)

• 2)

  Which of the following expressions are polynomials. If not give reason: \(\frac { 1 }{ { x }^{ -2 } } +\frac { 1 }{ { x }^{ -1 } } +7\)

• 3)

  Which of the following expressions are polynomials. If not give reason: \({ m }^{ 2 }-\sqrt [ 3 ]{ m } +7m-10\)

• 4)

  Write the coefficient of x² and x in each of the following polynomials \(6-{ 2x }^{ 2 }+3x^{ 3 }-\sqrt { 7 } x\)

• 5)

  If f(x) = x² - 4x + 3, find the values of f(1), f(-1), f(2), f(3). Also find the zeros of the polynomial f(x).

9th Standard English Medium Maths Subject Algebra Book Back 2 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Find the number of zeros of the following polynomials represented by their graphs.
  

• 2)

  Expand the following using identities: (m + 5)(m - 8)

• 3)

  Expand the following: (-p+2q+3r)²

• 4)

  By using identity evaluate the following: 7³-10³+3³

• 5)

  Factorise the following: x⁵-16x

9th Standard English Medium Maths Subject Algebra Book Back 3 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Find the degree of each term for the following polynomial and also find the degree of the polynomial
  6ab⁸+5a²b³c²-7ab+4b²c+2 

• 2)

  If p(x) = 4x²-3x+2x³+5 and q(x) = x²+2x+4. find p(x) - q(x)

• 3)

  Find the degree of the following polynomials. x³(x²+x)

• 4)

  Find the degree of the following polynomials 3x⁴+ 9x² + 27x⁶

• 5)

  Rewrite the following polynomial in standard form.
  \(x-9+\sqrt { 7 } { x }^{ 3 }+{ 6x }^{ 2 }\)

9th Standard English Medium Maths Subject Algebra Book Back 3 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Check whether f(x) = x³– x + 1 is a multiple of g(x) = 2 – 3x.

• 2)

  Find the remainder when f(x) = x³–ax² + 6x – a is divided by (x – a)

• 3)

  Write the following polynomials in standard form.

  S.No	Polynomial	Standard form
  1	5m4 -3m + 7m2 + 8
  2	\(\frac { 2 }{ 3 } y+{ 8y }^{ 3 }-12+\sqrt { 5 } { y }^{ 2 }\)
  3	12p2 -8p5 -10p4 -7

• 4)

  If \(\left( y-\frac { 1 }{ y } \right) ^{ 3 }\) =729, then find the value of \(y-\frac { 1 }{ y } \) and \({ y }^{ 3 }-\frac { 1 }{ { y }^{ 3 } } \) .

• 5)

  (i) Prove that (x - 1) is a factor of x³- 7x² + 13x - 7
  (ii) Prove that (x + 1) is a factor of x³ + 7x² + 13x + 7

9th Standard English Medium Maths Subject Algebra Book Back 5 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Multiply the following polynomials and check whether their product is also a polynomial. Also find the degree of the resultant polynomial.

  S.no	Polynominal	Product	Degree of the resultant polynominal
  1	\(p(x)=3{ x }^{ 3 }+2x-{ x }^{ 2 }+8\\ q(x)=7x+2\)
  2	\(r(y)=5{ y }^{ 3 }-3{ y }^{ 2 }+4\\ s(y)=9{ y }^{ 2 }-2y+6\)
  3	\(p(m)=8m-9\\ q(m)=9{ m }^{ 2 }-1+2m\)

• 2)

  If (x + a)(x + b)(x + c) = x³+14x²+ 59x + 70, find the value of
  (i) a + b + c
  (ii) \(\frac { 1 }{ a } +\frac { 1 }{ b } +\frac { 1 }{ c } \)
  (iii) a²+ b²+ c²
  (iv) \(\frac { a }{ bc } +\frac { b }{ ac } +\frac { c }{ ab } \)

• 3)

  Evaluate the following by using identities:
  (i) 98³
  (ii) 1001³

• 4)

  Factorise the following:
  (i) am + bm + cm
  (ii) a³- a²b
  (iii) 5a -10b - 4bc + 2ac
  (iv) x+y-1-xy

• 5)

  Find GCD of the following:
  (i) 16x³y², 24xy³z
  (ii) (y³+1) and (y²-1)
  (iii) 2x²-18 and x³-2x-3
  (iv) (a-b)², (b-c)³, (c-a)⁴

9th Standard English Medium Maths Subject Algebra Book Back 5 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Classify the following polynomials based on number of terms.

• 2)

  The length of a rectangle is (3x+2) units and it’s breadth is (3x–2) units. Find its area in terms of x. What will be the area if x = 20 units.

• 3)

  Without actual division , prove that f(x) = 2x⁴- 6x³ + 3x² + 3x - 2  is exactly divisible by x² – 3x + 2

• 4)

  The area of a rectangle is x² + 7x + 12. If its breadth is (x + 3), then find its length.

• 5)

  Find p(0), p(1), and (p(-1) for each of the following polynomials.

  S.no	Polynominal	p(0)	p(1)	p(-1)
  1	\(p(x)={ x }^{ 2 }+2x-1\)
  2	\(p(x)={ x }^{ 3 }-1\)
  3	\(p(x)=x+1\)

9th Standard English Medium Maths Subject Geometry Book Back 1 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  It is not possible to construct a triangle when its sides are ____________

• 2)

  The exterior angle of a triangle is equal to the sum of two ________.

• 3)

  In the quadrilateral ABCD, AB = BC and AD = DC Measure of ∠BCD is ________.
  

• 4)

  ABCD is a square, diagonals AC and BD meet at O. The number of pairs of congruent triangles with vertex O are ________.
  

• 5)

  In the given figure CE || DB then the value of x⁰ is  ________.
  

9th Standard English Medium Maths Subject Geometry Book Back 1 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  The angles of the triangle are 3x–40, x+20 and 2x–10 then the value of x is ________.

• 2)

  PQ and RS are two equal chords of a circle with centre O such that ㄥPOQ = 70°, then ㄥORS = ________.

• 3)

  A chord is at a distance of 15 cm from the centre of the circle of radius 25 cm. The length of the chord is ________.

• 4)

  In the figure, O is the centre of the circle and ㄥACB = 40° then ㄥAOB = ________.
  

• 5)

  In a cyclic quadrilaterals ABCD, ㄥA = 4x, ㄥC = 2x the value of x is ________.

9th Standard English Medium Maths Subject Geometry Book Back 2 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
  70°

• 2)

  Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
   27°

• 3)

  Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
  45°

• 4)

  Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
   62°32′

• 5)

  Find the supplement of the following angles.
  140°

9th Standard English Medium Maths Subject Geometry Book Back 2 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Find the value of x
  

• 2)

  Identify which ones are parallelograms and which are not.
  

• 3)

  Identify which ones are parallelograms and which are not.
  

• 4)

  Which ones are not quadrilaterals?
  

• 5)

  Which ones are not quadrilaterals
  

9th Standard English Medium Maths Subject Geometry Book Back 3 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Let m || n and l is a transversal Such that ∠1 : ∠2 = 11 : 7. Determine all the eight angles.
  

• 2)

  In the figure, AB is parallel to CD, find x
  

• 3)

  In the figure, AB is parallel to CD, find x
  

• 4)

  Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:
  

• 5)

  Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:
  

9th Standard English Medium Maths Subject Geometry Book Back 3 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  In a parallelogram ABCD, P and Q are the points on line DB such that PD = BQ show that APCQ is a parallelogram.

• 2)

  Your friend draws a figure such as this on a piece of paper.
  You don't know what it is, and stand at the board. She has to describe the figure to you so that you draw exactly the same figure on the board.
  You both know rectangles, so it is easy to describe and draw a rectangle. The rest are not easy.
  Can we describe any such shape we can ever think of, in a way that another person
  hearing it can reproduce it exactly?
  Yes, yes, yes! Now, isn't that exciting? The answer is so simple that it is breathtaking.
  We describe different shapes by their properties.

• 3)

  Take three different colour sheets; place on over the other and draw a triangle on the top sheet. Cut the sheets to get triangles of different colour which are identical. Mark the vertices and the angles as shown. Place the interior angles ㄥ1, ㄥ2 and ㄥ3 on a straight line, adjacent to each other, without leaving any gap. What can you say about the total measure of the three angles ㄥ1, ㄥ2 and ㄥ3?
  
  
  Can you use the same figure to explain the "Exterior angle property" of a triangle?
  If a side of a triangle is stretched, the exterior angle so formed is equal to the sum of the two remote interior angles.

• 4)

  If O is the centre of the circle and ㄥABC = 30° then find ㄥAOC.
  

• 5)

  In the given figure, ㄥCAB = 25°, find ㄥBDC, ㄥDBA and ㄥCOB
  

9th Standard English Medium Maths Subject Geometry Book Back 5 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Draw a triangle ABC, where AB = 8 cm, BC = 6 cm and ㄥB = 70⁰ and locate its circumcentre and draw the circumcircle.

• 2)

  Construct the right triangle PQR whose perpendicular sides are 4.5 cm and 6 cm. Also locate its circumcentre and draw the circumcircle.

• 3)

  Construct ΔABC with AB = 5 cm ㄥB = 100⁰ and BC = 6 cm. Also locate its circumcentre draw circumcircle.

• 4)

  Construct an isosceles triangle PQR where PQ =  PR and ㄥQ = 50⁰, QR = 7cm. Also draw its circumcircle.

• 5)

  The angles of a triangle are in the ratio 1: 2 : 3, find the measure of each angle of the triangle.

9th Standard English Medium Maths Subject Geometry Book Back 5 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  ABCD is a parallelogram Fig such that ∠BAD = 120^o and AC bisects ∠BAD show that ABCD is a rhombus.
  

• 2)

  In the given Fig. if AB = 2, BC = 6, AE = 6, BF = 8, CE = 7, and CF = 7, compute the ratio of the area of quadrilateral ABDE to the area of ΔCDF(Use congruent property of triangles).
  

• 3)

  In a quadrilateral ABCD, ∠A = 72° and ∠C is the supplementary of ∠A. The other two angles are 2x–10 and x + 4. Find the value of x and the measure of all the angles.

• 4)

  The legs of a stool make angle 35 ° with the floor as shown in the figure. Find the angles x and y.
  

• 5)

  Iron rods a, b, c, d, e, and f are making a design in a bridge as shown in the figure. If a || b , c || d , e || f , find the marked angles between
  (i) b and c
  (ii) d and e
  (iii) d and f
  (iv) c and f
  

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 1 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  Point (–3, 5) lie in the ________ quadrant

• 2)

  Signs of the abscissa and ordinate of a point in the fourth quadrant are respectively

• 3)

  Point (0, –7) lies ________

• 4)

  Point (–10, 0) lies ___________

• 5)

  If the y-coordinate of a point is zero, then the point always lies ______.

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 1 Mark Questions with Solution Part - II updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  The distance between the two points ( 2, 3 ) and ( 1, 4 ) is ______.

• 2)

  If the points A (2, 0), B (-6, 0), C (3, a-3) lie on the x-axis then the value of a is _____.

• 3)

  If the coordinates of one end of a diameter of a circle is (3, 4) and the coordinates of its centre is (−3, 2), then the coordinate of the other end of the diameter is ______.

• 4)

  The ratio in which the x-axis divides the line segment joining the points A(a₁, b₁) and B(a₂, b₂ ) is ______.

• 5)

  The ratio in which the x-axis divides the line segment joining the points (6, 4) and (1, −7) is ______.

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 2 Mark Questions with Solution Part - I updated Book back Questions - by Question Bank Software - May 13, 2022 - View & Read

• 1)

  In which quadrant does the following points lie? (3,–8)

• 2)

  In which quadrant does the following points lie?(–7, 3)

• 3)

  Plot the following points in the coordinate system and identify the quadrants
  P(–7, 6), Q(7, –2), R(–6, –7), S(3, 5) and T(3, 9)

• 4)

  Write down the abscissa and ordinate of the following.
  (i) P
  (ii) Q
  (iii) R
  (iv) S
  

• 5)

  Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure?  
  (–5, 3) (–1, 3) (0, 3) (5, 3)

9th Standard English Medium Maths Subject Book Back 5 Mark Questions with Solution Part - II - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  Each student in a class of 35 plays atleast one game among chess, carrom and table tennis. 22 play chess, 21 play carrom, 15 play table tennis, 10 play chess and table tennis, 8 play carrom and table tennis and 6 play all the three games. Find the number of students who play (Hint: Use Venn diagram)
  (i) chess and carrom but not table tennis
  (ii) only chess
  (iii) only carrom.

• 2)

  In a village of 100 families, 65 families buy Tamil newspapers and 55 families buy English newspapers. Find the number of families who buy
  (i) Both Tamil and English newspapers.
  (ii) Tamil newspapers only
  (iii) English newspapers only.

• 3)

  Find any two irrational numbers between \(\sqrt { 2 } \) and \(\sqrt { 3 } \)

• 4)

  Represent \(3.4\bar { 5 } \) on the number line Upto 4 decimal places

• 5)

  Simplify the following using multiplication and division properties of surds:
  (i) \(\sqrt { 3 } \times \sqrt { 5 } \times \sqrt { 2 } \)
  (ii) \(\sqrt { 35 } \div \sqrt { 7 } \)
  (iii) \(\sqrt [ 3 ]{ 27 } \times \sqrt [ 3 ]{ 8 } \times \sqrt [ 3 ]{ 125 } \)
  (iv) \((7\sqrt { a } -5\sqrt { b } )(7\sqrt { a } +5\sqrt { b } )\)
  (v) \(\left[ \sqrt { \frac { 225 }{ 729 } } -\sqrt { \frac { 25 }{ 144 } } \right] \div \sqrt { \frac { 16 }{ 81 } } \)

9th Standard English Medium Maths Subject Book Back 5 Mark Questions with Solution Part - I - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  If A, B and C are overlapping sets, then draw Venn diagram for the following sets:
  (i) (A-B)\(\cap \)C
  (ii) (A\(\cup \)C)-B
  (iii) A-(A\(\cap \)C)
  (iv) (B\(\cup \)C)-A
  (v) A\(\cap \)B\(\cap \)C

• 2)

  If A = {y : y =\(\frac { a+1 }{ 2 } \), a \(\in \) W and a ≤ 5}, B = {y : y =\(\frac { 2n-1 }{ 2 } \), n\(\in \)W and n < 5} and C =\(\left\{ -1,-\frac { 1 }{ 2 } ,1,\frac { 3 }{ 2 } ,2 \right\} \), then show that \(A-(B\cup C)=(A-B)\cap (A-C)\).

• 3)

  A survey of 1000 farmers found that 600 grew paddy, 350 grew ragi, 280 grew corn, 120 grew paddy and ragi, 100 grew ragi and corn, 80 grew paddy and corn. If each farmer grew atleast any one of the above three, then find the number of farmers who grew all the three.

• 4)

  A survey was conducted among 200 magazine subscribers of three different magazines A, B and C. It was found that 75 members do not subscribe magazine A, 100 members do not subscribe magazine B, 50 members do not subscribe magazine C and 125 subscribe atleast two of the three magazines. Find
  (i) Number of members who subscribe exactly two magazines.
  (ii) Number of members who subscribe only one magazine

• 5)

  In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who
  (i) like both tea and coffee.
  (ii) do not like Tea.
  (iii) do not like coffee

9th Standard English Medium Maths Subject Book Back 3 Mark Questions with Solution Part - II - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?

• 2)

  If A = {b,e,f,g} and B = {c,e,g,h}, then verify the commutative property of
  (i) union of sets
  (ii) intersection of sets.

• 3)

  In a group of 100 students, 85 students speak Tamil, 40 students speak English, 20 students speak French, 32 speak Tamil and English, 13 speak English and French and 10 speak Tamil and French. If each student knows atleast any one of these languages, then find the number of students who speak all these three languages.

• 4)

  If A = {-2,0,1,3,5}, B = {-1,0,2,5,6} and C = {-1,2,5,6,7} then show that A-(BUC) = (A-B)∩(A-C).

• 5)

  Identify the type of numbers needed to solve the simple equations given here. Question 1 and 2 are solved for you, as examples. (Perhaps -the number systems developed gradually depending on the needs of 'answers' during such problem solving!)

  S.No	Equation	Solution	Type of number in the solution
  1	x - 7 = 17	x = 24	Natural number
  2	x + 5 = 5	x = 0	Whole number
  3	x + 1 = 9
  4	x + 9 = 1
  5	7x = 19
  6	5x = -3
  7	x2 - 2 = 0

9th Standard English Medium Maths Subject Book Back 3 Mark Questions with Solution Part - I - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  Insert the appropriate symbol ∈ (belongs to) or ∉ (does not belong to) in the blanks.

• 2)

  Verify A∩(B∪C)=(A∩B)∪(A∩C) using Venn diagrams.

• 3)

  If A = {11,13,14,15,16,18}, B = {11,12,15,16,17,19}, and C = {13,15,16,17,18,20}, then verify \(A\cap (B\cup C)=(A\cap B)\cup (A\cap C)\).

• 4)

  Verify A -(BUC) = (A-B)∩(A-C) using Venn diagrams.

• 5)

  Express the following decimal expression into rational numbers -\(21.21\overline {37}\)

9th Standard English Medium Maths Subject Book Back 2 Mark Questions with Solution Part - II - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  The arch of a bridge has dimensions as shown, where the arch measure 2m at its highest point and its width is 6m. What is the radius of the circle that contains the arch?
  

• 2)

  In the given figure, ㄥPOQ = 100^o and ㄥPQR = 30^o, then find ㄥRPO
  

• 3)

  Write down the abscissa and ordinate of the following.
  (i) P
  (ii) Q
  (iii) R
  (iv) S
  

• 4)

  Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure?  
  (–5, 3) (–1, 3) (0, 3) (5, 3)

• 5)

  Prove that the diagonals of the parallellogram bisect each other. [Hint: Take scale on both axes as 1 cm = a units]

9th Standard English Medium Maths Subject Book Back 2 Mark Questions with Solution Part - I - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  Write the set of letters of the following words in Roster form
  PRINCIPAL

• 2)

  Are P = { x : –3 ≤ x ≤ 0, x ∈ Z} and Q = The set of all prime factors of 210, equivalent sets?

• 3)

  Write all the subsets of A = {a, b}.

• 4)

  Draw Venn diagram and shade the region representing the following sets
  (i) A′

• 5)

  If n(A) = 36, n(B) = 10, n(A∪B) = 40, and n(A′) = 27 find n(U) and n(A∩B).

9th Standard English Medium Maths Subject Book Back 1 Mark Questions with Solution Part - II - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  The set P = {x | x ∈ Z , –1 < x < 1} is a –––––––––.

• 2)

  If B ⊆ A then n(A∩B) is –––––––––.

• 3)

  If X = {x : x = 4(n – 1), n ∈ N} and Y = {y : y = 3n – 2n – 1, n ∈ N}, then X∪Y is ______________

• 4)

  In a class of 50 boys, 35 boys play Carrom and 20 boys play Chess then the number of boys play both games is________.

• 5)

  If J = Set of three sided shapes, K = Set of shapes with two equal sides and L = Set of shapes with right angle, then J ∩ K ⋂ L is ________.

9th Standard English Medium Maths Subject Book Back 1 Mark Questions with Solution Part - I - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  The set P = {x | x ∈ Z , –1 < x < 1} is a –––––––––.

• 2)

  If U = {x | x ∈ N, x < 10} and A = {x | x ∈ N, 2 ≤ x < 6} then (A′)′ is –––––––––.

• 3)

  From the adjacent diagram n[P(AΔB)] is ________.
  

• 4)

  The smallest rational number by which \(\frac { 1 }{ 3 } \)  should be multiplied so that its decimal expansion terminates after one place of decimal is   ________.

• 5)

  If x³ + 6x² + kx + 6 is exactly divisible by (x + 2), then k= ?

9th Standard English Medium Maths Subject Probability Book Back 3 Mark Questions with Solution - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  When a dice is rolled, find the probability to get the number greater than 4?

• 2)

  In an office, where 42 staff members work, 7 staff members use cars, 20 staff members use two-wheelers and the remaining 15 staff members use cycles. Find the relative frequencies.

• 3)

  Team I and Team II play 10 cricket matches each of 20 overs. Their total scores in each match are tabulated in the table as follows:

  Match numbers	1	2	3	4	5	6	7	8	9	10
  Team I	200	122	111	88	156	184	99	199	121	156
  Team II	143	123	156	92	164	72	100	201	98	157

  What is the relative frequency of Team I winning?

• 4)

  The probability that it will rain tomorrow is \(\\ \frac { 91 }{ 100 } \). What is the probability that it will not rain tomorrow?

• 5)

  In a recent year, of the 1184 centum scorers in various subjects in tenth standard public exams, 233 were in mathematics. 125 in social science and 106 in science. If one of the student is selected at random, find the probability of that selected student,
  (i) is a centum scorer in Mathematics
  (ii) is not a centum scorer in Science

9th Standard English Medium Maths Subject Probability Book Back 2 Mark Questions with Solution Part - II - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  Two dice are rolled, find the probability that the sum is
  (i) equal to 1
  (ii) equal to 4
  (iii) less than 13
  

• 2)

  Frame two problems in calculating probability, based on the spinner shown here.
  

• 3)

  A company manufactures 10000 Laptops in 6 months. In that 25 of them are found to be defective. When you choose one Laptop from the manufactured, what is the probability that selected Laptop is a good one.

• 4)

  In a survey of 400 youngsters aged 16-20 years, it was found that 191 have their voter ID card. If a youngster is selected at random, find the probability that the youngster does not have their voter ID card.

• 5)

  1500 families were surveyed and following data was recorded about their maids at homes

  Type of maids	Only part time	Only full time	Both
  Number of families	860	370	250

  A family is selected at random. Find the probability that the family selected has
  (i) Both types of maids
  (ii) Part time maids
  (iii) No maids

9th Standard English Medium Maths Subject Probability Book Back 2 Mark Questions with Solution Part - I - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  You are walking along a street. If you just choose a stranger crossing you, what is the probability that his next birthday will fall on a sunday?

• 2)

  What is the probability of drawing a King or a Queen or a Jack from a deck of cards?

• 3)

  What is the probability of throwing an even number with a single standard dice of six faces?

• 4)

  There are 24 balls in a pot. If 3 of them are Red, 5 of them are Blue and the remaining are Green then, what is the probability of picking out
  (i) a Blue ball 
  (ii) a Red ball and
  (iii) a Green ball?

• 5)

  When two coins are tossed, what is the probability that two heads are obtained?

9th Standard English Medium Maths Subject Probability Book Back 1 Mark Questions with Solution Part - II - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  Which of the following cannot be taken as probability of an event?

• 2)

  A particular result of an experiment is called _______.

• 3)

  A collection of one or more outcomes of an experiment is called _______.

• 4)

  The six faces of the dice are called equally likely if the dice is _______.

• 5)

  A letter is chosen at random from the word “STATISTICS”. The probability of getting a vowel is

9th Standard English Medium Maths Subject Probability Book Back 1 Mark Questions with Solution Part - I - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  A number between 0 and 1 that is used to measure uncertainty is called _______.

• 2)

  Probability lies between _______.

• 3)

  The probability based on the concept of relative frequency theory is called _______.

• 4)

  The probability of an event cannot be _______.

• 5)

  A random experiment contains

9th Standard English Medium Maths Subject Mensuration Book Back 3 Mark Questions with Solution Part - II - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  The length, breadth and height of a hall are 25 m, 15 m and 5 m respectively. Find the cost of renovating its floor and four walls at the rate of Rs. 80 per m².

• 2)

  Find the Total Surface Area and Lateral Surface Area of the cube, whose side is 5 cm.
  

• 3)

  The length, breadth and height of a cuboid is 120 mm, 10 cm and 8 cm respectively. Find the volume of 10 such cuboids.

• 4)

  The length, breadth and height of a cuboid are in the ratio 7: 5: 2. Its volume is 35840 cm³. Find its dimensions.

• 5)

  The dimensions of a fish tank are 3.8 m × 2.5 m × 1.6 m. How many litres of water it can hold?
  

9th Standard English Medium Maths Subject Mensuration Book Back 3 Mark Questions with Solution Part - I - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  The lengths of sides of a triangular field are 28 m, 15 m and 41 m. Calculate the area of the field. Find the cost of levelling the field at the rate of Rs. 20 per m²

• 2)

  Three different triangular plots are available for sale in a locality. Each plot has a perimeter of 120 m. The side lengths are also given:

  Shape of plot	Perimeter	Length of sides
  Right angled triangle	120m	30m, 40m, 50m
  Acute angled triangle	120 m	35 m, 40 m, 45 m
  Equilateral triangle	120 m	40 m, 40 m, 40 m

  Help the buyer to decide which among these will be more spacious.

• 3)

  The sides of a triangular park are in the ratio 9:10:11 and its perimeter is 300 m. Find the area of the triangular park.

• 4)

  Find the TSA and LSA of a cuboid whose length, breadth and height are 7.5 m, 3 m and 5 m respectively.

• 5)

  A closed wooden box is in the form of a cuboid. Its length, breadth and height are 6 m, 1.5 m and 300 cm respectively. Find the total surface area and cost of painting its entire outer surface at the rate of Rs. 50 per m².

9th Standard English Medium Maths Subject Mensuration Book Back 2 Mark Questions with Solution Part - II - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  Find the TSA and LSA of the cube whose side is
  (i) 8 m
  (ii) 21 cm
  (iii) 7.5 cm

• 2)

  If the total surface area of a cube is 2400 cm² then, find its lateral surface area.

• 3)

  Find the volume of a cuboid whose dimensions are
  (i) length = 12 cm, breadth = 8 cm, height = 6 cm
  (ii) length = 60 m, breadth = 25 m, height = 1.5 m

• 4)

  The dimensions of a match box are 6 cm × 3.5 cm × 2.5 cm. Find the volume of a packet containing 12 such match boxes.

• 5)

  The length, breadth and height of a chocolate box are in the ratio 5:4:3. If its volume is 7500 cm³, then find its dimensions.

9th Standard English Medium Maths Subject Mensuration Book Back 2 Mark Questions with Solution Part - I - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  Using Heron’s formula, find the area of a triangle whose sides are
  (i) 10 cm, 24 cm, 26 cm
  (ii) 1.8 m, 8 m, 8.2 m

• 2)

  The sides of the triangular ground are 22 m, 120 m and 122 m. Find the area and cost of levelling the ground at the rate of Rs. 20 per m².

• 3)

  The perimeter of a triangular plot is 600 m. If the sides are in the ratio 5:12:13, then find the area of the plot

• 4)

  Find the area of an equilateral triangle whose perimeter is 180 cm.

• 5)

  An advertisement board is in the form of an isosceles triangle with perimeter 36m and each of the equal sides are 13 m. Find the cost of painting it at Rs. 17.50 per square metre.

9th Standard English Medium Maths Subject Mensuration Book Back 1 Mark Questions with Solution Part - II - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  The total surface area of a cuboid with dimension 10 cm × 6 cm × 5 cm is _______.

• 2)

  If the ratio of the sides of two cubes are 2:3, then ratio of their surface areas will be _______.

• 3)

  The volume of a cuboid is 660 cm³ and the area of the base is 33 cm². Its height is _______.

• 4)

  The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is _______.

• 5)

  The number of bricks each measuring 50 cm × 30 cm × 20 cm that will be required to build a wall whose dimensions are 5 m × 3 m × 2 m is _______.

9th Standard English Medium Maths Subject Mensuration Book Back 1 Mark Questions with Solution Part - I - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  The area of a triangle whose sides are a, b and c is ________

• 2)

  The semi-perimeter of a triangle having sides 15 cm, 20 cm and 25 cm is _______.

• 3)

  If the sides of a triangle are 3 cm, 4 cm and 5 cm, then the area is _______.

• 4)

  The perimeter of an equilateral triangle is 30 cm. The area is _______.

• 5)

  The total surface area of a cuboid is ______________

9th Standard English Medium Maths Subject Trigonometry Book Back 5 Mark Questions with Solution - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  Find the values of the following:
  (i) (cos 0⁰ + sin 45⁰ + sin 30⁰)(sin 90⁰ - cos 45⁰ + cos 60⁰)
  (ii) tan²60⁰ - 2tan²45⁰ - cot²30⁰ +2sin²30⁰ + \(\frac { 3 }{ 4 } \) cosec² 45⁰

• 2)

  Find the value of \(\theta\) if
  (i) sin \(\theta\) = 0.9858
  (ii) cos\(\theta\) = 07656

• 3)

  Find the value of the following: 
  \(\frac { cos70° }{ sin20° } +\frac { cos59° }{ sin31° } +\frac { cos\theta }{ sin\left( 90°-\theta \right) } -8 \cos^{ 2 }60°\)

• 4)

  Find the value of the following: 
   tan15° tan30° tan45° tan60° tan75°

• 5)

  Find the value of the following:
  \(\frac { cot\theta }{ tan\left( 90°-\theta \right) } +\frac { cos\left( 90°-\theta \right) tan\theta sec\left( 90°-\theta \right) }{ sin\left( 90°-\theta \right) cosec\left( 90°-\theta \right) } \)

9th Standard English Medium Maths Subject Trigonometry Book Back 3 Mark Questions with Solution Part - II - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  If tan A  = \(\frac { 2 }{ 3 } \) , then find all the other trigonometric ratios.
  

• 2)

  If sec \(\theta\) = \(\frac { 13 }{ 5 } \), then show that \(\frac { 2sin\theta -3cos\theta }{ 4sin\theta -9cos\theta } \) = 3

• 3)

  Express
  (i) sin 74° in terms of cosine
  (ii) tan 12° in terms of cotangent
  (iii) cosec 39° in terms of secant

• 4)

  Find the values of
  (i) tan7° tan23° tan60° tan67° tan83°  
  (ii) \(\frac { cos35° }{ sin55° } +\frac { sin12° }{ cos78° } -\frac { cos18° }{ sin72° } \)

• 5)

  (i) If cosec A = sec 34⁰, then find A
  (ii) If tan B = cot 47⁰, then find B.

9th Standard English Medium Maths Subject Trigonometry Book Back 3 Mark Questions with Solution Part - I - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  For the measures in the figure, compute sine, cosine and tangent ratios of the angle \(\theta \)
  

• 2)

  Find the six trigonometric ratios of the angle \(\theta\) using the given diagram.
  

• 3)

  If tan A  = \(\frac { 2 }{ 3 } \) , then find all the other trigonometric ratios.
  

• 4)

  If sec \(\theta\) = \(\frac { 13 }{ 5 } \), then show that \(\frac { 2sin\theta -3cos\theta }{ 4sin\theta -9cos\theta } \) = 3

• 5)

  Express
  (i) sin 74° in terms of cosine
  (ii) tan 12° in terms of cotangent
  (iii) cosec 39° in terms of secant

9th Standard English Medium Maths Subject Trigonometry Book Back 2 Mark Questions with Solution Part - II - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  Find the value of the following: 
   \(\left( \frac { cos47° }{ sin43° } \right) +\left( \frac { sin72° }{ cos18° } \right) -2\cos^{ 2 }45°\)

• 2)

  Find the value of the following:
  (i) sin 49°
  (ii) cos 74⁰39'
  (iii) tan 54⁰26'
  (iv) sin 21⁰21'
  (v) cos 33⁰53'
  (vi) tan 70⁰17'

• 3)

  Find the value of \(\theta\) if
  (i) sin \(\theta\) = 0.9975
  (ii) cos \(\theta\) = 0.6763
  (iii) tan \(\theta\) = 0.0720
  (iv) cos \(\theta\) = 0.0410
  (v) tan \(\theta\) = 7.5958

• 4)

  Find the value of the following:
  (i) sin65⁰39' + cos24⁰57' + tan10⁰10'
  (ii) tan70⁰58' + cos15⁰26' - sin84⁰59'

• 5)

  Find the area of a right triangle whose hypotenuse is 10cm and one of the acute angle is 24⁰24'

9th Standard English Medium Maths Subject Trigonometry Book Back 2 Mark Questions with Solution Part - I - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  From the given figure, find all the trigonometric ratios of angle B.
  

• 2)

  From the given figure, find all the trigonometric ratios of angle \(\theta\)
  

• 3)

  From the given figure, find the values of 
  (i) sin B
  (ii) sec B
  (iii) cot B  
  (iv) cos C
  (v) tan C
  (vi) cosec C
  

• 4)

  If 2cos \(\theta\) = \(\sqrt { 3 } \), then find all the trigonometric ratios of angle \(\theta\)

• 5)

  If cos A = \(\frac { 3 }{ 5 } \), then find the value of \(\frac { sinA-cosA }{ 2tanA } \)

9th Standard English Medium Maths Subject Trigonometry Book Back 1 Mark Questions with Solution Part - II - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  If cos A = \(\frac { 3 }{ 5 } \), them the value of tan A is

• 2)

  The value of cosec(70⁰ + \(\theta\)) - sec(20⁰ - \(\theta\)) + tan(65⁰ + \(\theta\)) - cot(25⁰ - \(\theta\)) is ________.

• 3)

  The value of tan 1° tan 2° tan 3°...tan 89° is ________.

• 4)

  Given that sin \(\alpha\) = \(\frac { 1 }{ 2 } \) and cos \(\beta\) = \(\frac { 1 }{ 2 } \), then the value of \(\alpha\) + \(\beta\) is ________.

• 5)

  The value of \(\frac { sin{ 29 }^{ 0 }31' }{ cos{ 60 }^{ 0 }29' } \) is

9th Standard English Medium Maths Subject Trigonometry Book Back 1 Mark Questions with Solution Part - I - by Question Bank Software - Jun 14, 2021 - View & Read

• 1)

  if sin 30⁰ = x and cos 60⁰ = y, then x²  + y² is________.

• 2)

  If tan \(\theta\) cot 37⁰ , then the value of \(\theta\) is ________.

• 3)

  The value of tan72° tan18° is ________.

• 4)

  The value of \(\frac { tan15° }{ cot75° } \) is

• 5)

  The value of \(\frac { 2tan\ 30° }{ 1-{ tan }^{ 2 }30° } \) is equal to ________.

9th Standard English Medium Maths Subject Statistics Book Back 5 Mark Questions with Solution - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Calculate the median for the following data:

  Height (cm)	160	150	152	161	156	154	155
  No. of Students	12	8	4	4	3	3	7

• 2)

  The following table gives the weekly expenditure of 200 families. Find the median of the weekly expenditure.

  Weekly expenditure(Rs)	0-1000	1000-2000	2000-3000	3000-4000	4000-500
  Number of families	28	46	54	42	30

• 3)

  The Median of the following data is 24. Find the value of x.

  Class Interval (CI)	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50
  Frequency (f)	6	24	x	16	9

• 4)

  Find the mode for the following data

  Marks	1-5	6-10	11-15	16-20	21-25
  No. of students	7	10	16	32	24

• 5)

  In a distribution, the mean and mode are 66 and 60 respectively. Calculate the median.

9th Standard English Medium Maths Subject Statistics Book Back 3 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  The following data gives the number of residents in an area based on their age. Find the average age of the residents

  Age	0-10	10-20	20-30	30-40	40-50	50-60
  Number of Residents	2	6	9	7	4	2

• 2)

  Find the mean for the following frequency table:

  Class Interval	100-120	120-140	140-160	160-180	180-200	200-220	220-240
  Frequency	10	8	4	4	3	1	2

• 3)

  Find the mean of the following distribution using Step Deviation Method.

  Class Interval	0-8	8-16	16-24	24-32	32-40	40-48
  Frequency (f)	10	20	14	16	18	22

• 4)

  Find the sum of the deviations from the arithmetic mean for the following observations:
  21, 30, 22, 16, 24, 28, 18, 17

• 5)

  The arithmetic mean of 6 values is 45 and if each value is increased by 4, then find the arithmetic mean of new set of values

9th Standard English Medium Maths Subject Statistics Book Back 3 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Find the Median of the given data: 36, 44, 86, 31, 37, 44, 86, 35, 60, 51

• 2)

  A researcher studying the behavior of mice has recorded the time (in seconds) taken by each mouse to locate its food by considering 13 different mice as 31, 33, 63, 33, 28, 29, 33, 27, 27, 34, 35, 28, 32. Find the median time that mice spent in searching its food.

• 3)

  The monthly salary of 10 employees in a factory are given below :
  Rs. 5000, Rs. 7000, Rs. 5000, Rs. 7000, Rs. 8000, Rs. 7000, Rs. 7000, Rs. 8000, Rs. 7000, Rs. 5000. Find the mean, median and mode

9th Standard English Medium Maths Subject Statistics Book Back 1 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  The mean of the square of first 11 natural numbers is _______.

• 2)

  The mean of the first 10 prime numbers is ___________

• 3)

  The median of the first 10 whole numbers is ______________

• 4)

  The mean of a set of numbers is \(\bar X\). If each number is multiplied by z, the mean is _______.

• 5)

  Find the mean of the prime factors of 165.

9th Standard English Medium Maths Subject Statistics Book Back 1 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Data available in an unorganized form is called __________ data

• 2)

  Let m be the mid point and b be the upper limit of a class in a continuous frequency distribution. The lower limit of the class is _______.

• 3)

  Which one of the following is not a measure of central tendency?

• 4)

  The mean of a set of seven numbers is 81. If one of the numbers is discarded, the mean of the remaining numbers is 78. The value of discarded number is _______.

• 5)

  A particular observation which occurs maximum number of times in a given data is called its _______.

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 5 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Show that (4, 3) is the centre of the circle passing through the points (9, 3), (7, –1), (–1, 3). Find the radius.

• 2)

  Verify that the following points taken in order form the vertices of a rhombus.
  A(3, –2), B (7, 6),C (–1, 2) and D (–5, –6)

• 3)

  Verify that the following points taken in order form the vertices of a rhombus.
  A (1, 1), B(2, 1),C (2, 2) and D(1, 2)

• 4)

  A(–1, 1), B(1, 3) and C(3, a) respectively and if AB = BC, then find ‘a’.

• 5)

  (i) Where do the following points lie?
  P (0, -4), Q(0, -1), R(0, 3), S(0, 6).
  (ii) Find the distance between the following points using coordinates given in question
  (a) P and R
  (b) Q and S
  (iii) Draw the line diagram for the given above points.

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 5 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Plot the points A(2, 4), B(–3, 5), C(–4, –5), D(4, –2) in the Cartesian plane  

• 2)

  Plot the following points (2, 0), (–5, 0), (3, 0), (–1, 0) in the Cartesian plane. Where do they lie?

• 3)

  Plot the points (–4, 3),(–3, 3),(–1, 3),(0, 3),(3, 3) in the Cartesian Plane. What can you say about the position of these points?

• 4)

  Plot the following points A(2, 2), B(–2, 2), C(–2, –1), D(2, –1) in the Cartesian plane. Discuss the type of the diagram by joining all the points taken in order

• 5)

  If the distance between the points (5,–2), (1, a), is 5 units, find the values of a.

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 3 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Find the distance between the points (–4, 3), (2, –3).

• 2)

  Calculate the distance between the points A (7, 3) and B which lies on the x-axis whose abscissa is 11.

• 3)

  The point (x, y) is equidistant from the points (3, 4) and (–5, 6). Find a relation between x and y.

• 4)

  Show that the point (11, 2) is the centre of the circle passing through the points (1, 2), (3, –4) and (5, -6)

• 5)

  Determine whether the given set of points in each case are collinear or not (a, –2), (a, 3), (a, 0)

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 3 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Find the distance between the points (–4, 3), (2, –3).

• 2)

  Show that the points A(–4, –3), B(3, 1), C(3, 6), D(–4, 2) taken in that order form the vertices of a parallelogram.

• 3)

  Calculate the distance between the points A (7, 3) and B which lies on the x-axis whose abscissa is 11.

• 4)

  The abscissa of a point A is equal to its ordinate, and its distance from the point B(1, 3) is 10 units, What are the coordinates of A?

• 5)

  The point (x, y) is equidistant from the points (3, 4) and (–5, 6). Find a relation between x and y.

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 2 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Find the coordinates of the point which divides the line segment joining A(−5,11) and B(4,−7) in the ratio 7:2.

• 2)

  Find the coordinates of a point P on the line segment joining A(1, 2) and B(6, 7) in such a way that AP = \(\frac{2}{5}\)AB

• 3)

  The line segment joining A(6, 3) and B(−1, −4) is doubled in length by adding half of AB to each end. Find the coordinates of the new end points.

• 4)

  Using section formula, show that the points A(7, −5), B(9, −3) and C(13, 1) are collinear.

• 5)

  A line segment AB is increased along its length by 25% by producing it to C on the side of B. If A and B have the coordinates (−2,−3) and (2,1) respectively, then find the coordinates of C.

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 2 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  In which quadrant does the following points lie? (3,–8)

• 2)

  In which quadrant does the following points lie?(–7, 3)

• 3)

  Plot the following points in the coordinate system and identify the quadrants
  P(–7, 6), Q(7, –2), R(–6, –7), S(3, 5) and T(3, 9)

• 4)

  Write down the abscissa and ordinate of the following.
  (i) P
  (ii) Q
  (iii) R
  (iv) S
  

• 5)

  Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure?  
  (–5, 3) (–1, 3) (0, 3) (5, 3)

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 1 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  The distance between the two points ( 2, 3 ) and ( 1, 4 ) is ______.

• 2)

  If the points A (2, 0), B (-6, 0), C (3, a-3) lie on the x-axis then the value of a is _____.

• 3)

  If the coordinates of one end of a diameter of a circle is (3, 4) and the coordinates of its centre is (−3, 2), then the coordinate of the other end of the diameter is ______.

• 4)

  The ratio in which the x-axis divides the line segment joining the points A(a₁, b₁) and B(a₂, b₂ ) is ______.

• 5)

  The ratio in which the x-axis divides the line segment joining the points (6, 4) and (1, −7) is ______.

9th Standard English Medium Maths Subject Coordinate Geometry Book Back 1 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Point (–3, 5) lie in the ________ quadrant

• 2)

  Signs of the abscissa and ordinate of a point in the fourth quadrant are respectively

• 3)

  Point (0, –7) lies ________

• 4)

  Point (–10, 0) lies ___________

• 5)

  If the y-coordinate of a point is zero, then the point always lies ______.

9th Standard English Medium Maths Subject Geometry Book Back 5 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  ABCD is a parallelogram Fig such that ∠BAD = 120^o and AC bisects ∠BAD show that ABCD is a rhombus.
  

• 2)

  In the given Fig. if AB = 2, BC = 6, AE = 6, BF = 8, CE = 7, and CF = 7, compute the ratio of the area of quadrilateral ABDE to the area of ΔCDF(Use congruent property of triangles).
  

• 3)

  In a quadrilateral ABCD, ∠A = 72° and ∠C is the supplementary of ∠A. The other two angles are 2x–10 and x + 4. Find the value of x and the measure of all the angles.

• 4)

  The legs of a stool make angle 35 ° with the floor as shown in the figure. Find the angles x and y.
  

• 5)

  Iron rods a, b, c, d, e, and f are making a design in a bridge as shown in the figure. If a || b , c || d , e || f , find the marked angles between
  (i) b and c
  (ii) d and e
  (iii) d and f
  (iv) c and f
  

9th Standard English Medium Maths Subject Geometry Book Back 5 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Draw a triangle ABC, where AB = 8 cm, BC = 6 cm and ㄥB = 70⁰ and locate its circumcentre and draw the circumcircle.

• 2)

  Construct the right triangle PQR whose perpendicular sides are 4.5 cm and 6 cm. Also locate its circumcentre and draw the circumcircle.

• 3)

  Construct ΔABC with AB = 5 cm ㄥB = 100⁰ and BC = 6 cm. Also locate its circumcentre draw circumcircle.

• 4)

  Construct an isosceles triangle PQR where PQ =  PR and ㄥQ = 50⁰, QR = 7cm. Also draw its circumcircle.

• 5)

  The angles of a triangle are in the ratio 1: 2 : 3, find the measure of each angle of the triangle.

9th Standard English Medium Maths Subject Geometry Book Back 3 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  In a parallelogram ABCD, P and Q are the points on line DB such that PD = BQ show that APCQ is a parallelogram.

• 2)

  Your friend draws a figure such as this on a piece of paper.
  You don't know what it is, and stand at the board. She has to describe the figure to you so that you draw exactly the same figure on the board.
  You both know rectangles, so it is easy to describe and draw a rectangle. The rest are not easy.
  Can we describe any such shape we can ever think of, in a way that another person
  hearing it can reproduce it exactly?
  Yes, yes, yes! Now, isn't that exciting? The answer is so simple that it is breathtaking.
  We describe different shapes by their properties.

• 3)

  Take three different colour sheets; place on over the other and draw a triangle on the top sheet. Cut the sheets to get triangles of different colour which are identical. Mark the vertices and the angles as shown. Place the interior angles ㄥ1, ㄥ2 and ㄥ3 on a straight line, adjacent to each other, without leaving any gap. What can you say about the total measure of the three angles ㄥ1, ㄥ2 and ㄥ3?
  
  
  Can you use the same figure to explain the "Exterior angle property" of a triangle?
  If a side of a triangle is stretched, the exterior angle so formed is equal to the sum of the two remote interior angles.

• 4)

  If O is the centre of the circle and ㄥABC = 30° then find ㄥAOC.
  

• 5)

  In the given figure, ㄥCAB = 25°, find ㄥBDC, ㄥDBA and ㄥCOB
  

9th Standard English Medium Maths Subject Geometry Book Back 3 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Let m || n and l is a transversal Such that ∠1 : ∠2 = 11 : 7. Determine all the eight angles.
  

• 2)

  In the figure, AB is parallel to CD, find x
  

• 3)

  In the figure, AB is parallel to CD, find x
  

• 4)

  Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:
  

• 5)

  Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:
  

9th Standard English Medium Maths Subject Geometry Book Back 2 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Find the value of x
  

• 2)

  Identify which ones are parallelograms and which are not.
  

• 3)

  Identify which ones are parallelograms and which are not.
  

• 4)

  Which ones are not quadrilaterals?
  

• 5)

  Which ones are not quadrilaterals
  

9th Standard English Medium Maths Subject Geometry Book Back 2 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
  70°

• 2)

  Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
   27°

• 3)

  Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
  45°

• 4)

  Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
   62°32′

• 5)

  Find the supplement of the following angles.
  140°

9th Standard English Medium Maths Subject Geometry Book Back 1 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  The angles of the triangle are 3x–40, x+20 and 2x–10 then the value of x is ________.

• 2)

  PQ and RS are two equal chords of a circle with centre O such that ㄥPOQ = 70°, then ㄥORS = ________.

• 3)

  A chord is at a distance of 15 cm from the centre of the circle of radius 25 cm. The length of the chord is ________.

• 4)

  In the figure, O is the centre of the circle and ㄥACB = 40° then ㄥAOB = ________.
  

• 5)

  In a cyclic quadrilaterals ABCD, ㄥA = 4x, ㄥC = 2x the value of x is ________.

9th Standard English Medium Maths Subject Geometry Book Back 1 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  It is not possible to construct a triangle when its sides are ____________

• 2)

  The exterior angle of a triangle is equal to the sum of two ________.

• 3)

  In the quadrilateral ABCD, AB = BC and AD = DC Measure of ∠BCD is ________.
  

• 4)

  ABCD is a square, diagonals AC and BD meet at O. The number of pairs of congruent triangles with vertex O are ________.
  

• 5)

  In the given figure CE || DB then the value of x⁰ is  ________.
  

9th Standard English Medium Maths Subject Algebra Book Back 5 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Classify the following polynomials based on number of terms.

• 2)

  The length of a rectangle is (3x+2) units and it’s breadth is (3x–2) units. Find its area in terms of x. What will be the area if x = 20 units.

• 3)

  Without actual division , prove that f(x) = 2x⁴- 6x³ + 3x² + 3x - 2  is exactly divisible by x² – 3x + 2

• 4)

  The area of a rectangle is x² + 7x + 12. If its breadth is (x + 3), then find its length.

• 5)

  Find p(0), p(1), and (p(-1) for each of the following polynomials.

  S.no	Polynominal	p(0)	p(1)	p(-1)
  1	\(p(x)={ x }^{ 2 }+2x-1\)
  2	\(p(x)={ x }^{ 3 }-1\)
  3	\(p(x)=x+1\)

9th Standard English Medium Maths Subject Algebra Book Back 5 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Multiply the following polynomials and check whether their product is also a polynomial. Also find the degree of the resultant polynomial.

  S.no	Polynominal	Product	Degree of the resultant polynominal
  1	\(p(x)=3{ x }^{ 3 }+2x-{ x }^{ 2 }+8\\ q(x)=7x+2\)
  2	\(r(y)=5{ y }^{ 3 }-3{ y }^{ 2 }+4\\ s(y)=9{ y }^{ 2 }-2y+6\)
  3	\(p(m)=8m-9\\ q(m)=9{ m }^{ 2 }-1+2m\)

• 2)

  If (x + a)(x + b)(x + c) = x³+14x²+ 59x + 70, find the value of
  (i) a + b + c
  (ii) \(\frac { 1 }{ a } +\frac { 1 }{ b } +\frac { 1 }{ c } \)
  (iii) a²+ b²+ c²
  (iv) \(\frac { a }{ bc } +\frac { b }{ ac } +\frac { c }{ ab } \)

• 3)

  Evaluate the following by using identities:
  (i) 98³
  (ii) 1001³

• 4)

  Factorise the following:
  (i) am + bm + cm
  (ii) a³- a²b
  (iii) 5a -10b - 4bc + 2ac
  (iv) x+y-1-xy

• 5)

  Find GCD of the following:
  (i) 16x³y², 24xy³z
  (ii) (y³+1) and (y²-1)
  (iii) 2x²-18 and x³-2x-3
  (iv) (a-b)², (b-c)³, (c-a)⁴

9th Standard English Medium Maths Subject Algebra Book Back 3 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Check whether f(x) = x³– x + 1 is a multiple of g(x) = 2 – 3x.

• 2)

  Find the remainder when f(x) = x³–ax² + 6x – a is divided by (x – a)

• 3)

  Write the following polynomials in standard form.

  S.No	Polynomial	Standard form
  1	5m4 -3m + 7m2 + 8
  2	\(\frac { 2 }{ 3 } y+{ 8y }^{ 3 }-12+\sqrt { 5 } { y }^{ 2 }\)
  3	12p2 -8p5 -10p4 -7

• 4)

  If \(\left( y-\frac { 1 }{ y } \right) ^{ 3 }\) =729, then find the value of \(y-\frac { 1 }{ y } \) and \({ y }^{ 3 }-\frac { 1 }{ { y }^{ 3 } } \) .

• 5)

  (i) Prove that (x - 1) is a factor of x³- 7x² + 13x - 7
  (ii) Prove that (x + 1) is a factor of x³ + 7x² + 13x + 7

9th Standard English Medium Maths Subject Algebra Book Back 3 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Find the degree of each term for the following polynomial and also find the degree of the polynomial
  6ab⁸+5a²b³c²-7ab+4b²c+2 

• 2)

  If p(x) = 4x²-3x+2x³+5 and q(x) = x²+2x+4. find p(x) - q(x)

• 3)

  Find the degree of the following polynomials. x³(x²+x)

• 4)

  Find the degree of the following polynomials 3x⁴+ 9x² + 27x⁶

• 5)

  Rewrite the following polynomial in standard form.
  \(x-9+\sqrt { 7 } { x }^{ 3 }+{ 6x }^{ 2 }\)

9th Standard English Medium Maths Subject Algebra Book Back 2 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Find the number of zeros of the following polynomials represented by their graphs.
  

• 2)

  Expand the following using identities: (m + 5)(m - 8)

• 3)

  Expand the following: (-p+2q+3r)²

• 4)

  By using identity evaluate the following: 7³-10³+3³

• 5)

  Factorise the following: x⁵-16x

9th Standard English Medium Maths Subject Algebra Book Back 2 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Which of the following expressions are polynomials. If not give reason: x²(x-1)

• 2)

  Which of the following expressions are polynomials. If not give reason: \(\frac { 1 }{ { x }^{ -2 } } +\frac { 1 }{ { x }^{ -1 } } +7\)

• 3)

  Which of the following expressions are polynomials. If not give reason: \({ m }^{ 2 }-\sqrt [ 3 ]{ m } +7m-10\)

• 4)

  Write the coefficient of x² and x in each of the following polynomials \(6-{ 2x }^{ 2 }+3x^{ 3 }-\sqrt { 7 } x\)

• 5)

  If f(x) = x² - 4x + 3, find the values of f(1), f(-1), f(2), f(3). Also find the zeros of the polynomial f(x).

9th Standard English Medium Maths Subject Algebra Book Back 1 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  If (x + 5) and (x - 3) are the factors of ax²+bx+c, then values of a, b and c are _______.

• 2)

  Cubic polynomial may have maximum of ________ linear factors.

• 3)

  Degree of the constant polynomial is _______.

• 4)

  GCD of any two prime numbers is _______.

• 5)

  Which of the following statement is true for the equation 2x + 3y = 15

9th Standard English Medium Maths Subject Algebra Book Back 1 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  If x³ + 6x² + kx + 6 is exactly divisible by (x + 2), then k= ?

• 2)

  The root of the polynomial equation 2x + 3 = 0 is ________.

• 3)

  The type of the polynomial 4–3x³ is  ________.

• 4)

  x³ – x² is a …………..

• 5)

  If x⁵¹ + 51 is divided by x + 1, then the remainder is _______.

9th Standard English Medium Maths Subject Real Numbers Book Back 5 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Find the 5^th root of 32

• 2)

  Find the 5^th root of 243.

• 3)

  Find the 5^th root of 100000

• 4)

  Simplify the following using multiplication and division properties of surds:
  (i) \(\sqrt { 3 } \times \sqrt { 5 } \times \sqrt { 2 } \)
  (ii) \(\sqrt { 35 } \div \sqrt { 7 } \)
  (iii) \(\sqrt [ 3 ]{ 27 } \times \sqrt [ 3 ]{ 8 } \times \sqrt [ 3 ]{ 125 } \)
  (iv) \((7\sqrt { a } -5\sqrt { b } )(7\sqrt { a } +5\sqrt { b } )\)
  (v) \(\left[ \sqrt { \frac { 225 }{ 729 } } -\sqrt { \frac { 25 }{ 144 } } \right] \div \sqrt { \frac { 16 }{ 81 } } \)

• 5)

  Arrange surds in descending order:
  (i) \(\sqrt [ 3 ]{ 5 } ,\sqrt [ 9 ]{ 4 } ,\sqrt [ 6 ]{ 3 } \)
  (ii) \(\sqrt [ 2 ]{ \sqrt [ 3 ]{ 5 } } ,\sqrt [ 2 ]{ \sqrt [ 3 ]{ 5 } } ,\sqrt [ 3 ]{ \sqrt [ 4 ]{ 7 } } ,\sqrt { \sqrt { 3 } } \) 

9th Standard English Medium Maths Subject Real Numbers Book Back 5 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Represent the following irrational numbers on the number line \(\sqrt { 3 } \)

• 2)

  Represent the following irrational numbers on the number line \(\sqrt { 6.5 } \)

• 3)

  Find any two rational numbers between 2.2360679….. and 2.236505500….

• 4)

  Find any two irrational numbers between 0.3010011000111…. and 0.3020020002….

• 5)

  Find any two irrational numbers between\(\frac { 6 }{ 7 } \) and \(\frac { 12 }{ 13 } \)

9th Standard English Medium Maths Subject Real Numbers Book Back 3 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Express the following decimal expression into rational numbers. 0.86

• 2)

  Can you get a rational number when you compute
  (i) the sum of two surds
  (ii) the difference of two surds
  (iii) the product of two surds
  (iv) the quotient of two surds
  Justify each answer with an example.

• 3)

  Rationalise the denominator and simplify \(\frac { \sqrt { 48 } +\sqrt { 32 } }{ \sqrt { 27 } -\sqrt { 18 } } \) .

• 4)

  Rationalise the denominator and simplify \(\frac { \sqrt { 5 } }{ \sqrt { 6 } +2 } -\frac { \sqrt { 5 } }{ \sqrt { 6 } -2 } \)

• 5)

  Represent the following numbers in scientific notation:
  (i) (300000)² \(\times\) (20000)⁴
  (ii) (0.000001)¹¹ ÷ (0.005)³
  (iii) \( \{ (0.00003 ) ^{ 6 }\times (0.00005)^{ 4 }\} \div \{ (0.009)^{ 3 }\times (0.05)^{ 2 }\} \)

9th Standard English Medium Maths Subject Real Numbers Book Back 3 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Express the following decimal expression into rational numbers. \(0.\overline { 24 } \)

• 2)

  Express the following decimal expression into rational numbers. \(2.\overline { 327 } \)

• 3)

  Express the following decimal expression into rational numbers \(3.1\overline { 7 } \)

• 4)

  Express the following decimal expression into rational numbers \(0.\overline { 0001 } \)

• 5)

  Find the decimal expansion of \(\sqrt { 3 } \)

9th Standard English Medium Maths Subject Real Numbers Book Back 2 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Write the following numbers in decimal form:
  6.34 \(\times\)10⁴

• 2)

  Find any five rational numbers between
  (i) \(\frac { 1 }{ 4 } \) and \(1\over 5\)
  (ii) 0.1 and 0.11
  (iii) -1 and -2

• 3)

  Express the rational number \(\frac { 1 }{ 27 } \)  in recurring decimal form by using the recurring decimal expansion of \(1\over3\). Hence write\(\frac { 59 }{ 27 } \) in recurring decimal form.

• 4)

  Convert the following decimal numbers in the form of \(\frac { p }{ q } \), where p and q are integers and q ≠ 0 :
  (i) 0.35
  (ii) 2.176
  (iii) -0.0028

• 5)

  Convert the following decimal numbers in the form of \(\frac { p }{ q } (p,q\in Z\ and\ q\neq 0)\)
  (i) \(0.\overline { 3 } \)
  (ii) \(2.\overline { 124 } \)
  (iii) \(0.4\overline { 5 } \)
  (iv) \(0.5\overline { 68 } \)

9th Standard English Medium Maths Subject Real Numbers Book Back 2 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Write the following in the form of 5ⁿ:
  \(\frac{1}{5}\)

• 2)

  Write the following in the form of 4ⁿ:
  32

• 3)

  Find the value of \(\left( 49 \right) ^{ \frac { 1 }{ 2 } }\)

• 4)

  Find the value of \(\left( \frac { 64 }{ 125 } \right) ^{ \frac { -2 }{ 3 } }\)

• 5)

  If x = \(\sqrt{5}\) + 2, then find the value of \({ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \)

9th Standard English Medium Maths Subject Real Numbers Book Back 1 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  \(0.\overline { 34 } +0.3\bar { 4 } \) = ________.

• 2)

  Which of the following statement is false?

• 3)

  \(\sqrt{27}\)+\(\sqrt{12}\) = ________.

• 4)

  If \(\sqrt{80}\) = 5\(\sqrt{5}\) , then k= ________.

• 5)

  4\(\sqrt{7}\) \(\times\) 2\(\sqrt{3}\) =  ________.

9th Standard English Medium Maths Subject Real Numbers Book Back 1 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  If n is a natural number then \(\sqrt { n } \) is ________.

• 2)

  Which of the following is not true?

• 3)

  Which one of the following, regarding sum of two irrational numbers, is true?

• 4)

  Which one of the following has a terminating decimal expansion?

• 5)

  Which one of the following is an irrational number.

9th Standard English Medium Maths Subject Set Language Book Back 5 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  A survey was conducted among 200 magazine subscribers of three different magazines A, B and C. It was found that 75 members do not subscribe magazine A, 100 members do not subscribe magazine B, 50 members do not subscribe magazine C and 125 subscribe atleast two of the three magazines. Find
  (i) Number of members who subscribe exactly two magazines.
  (ii) Number of members who subscribe only one magazine

• 2)

  In a village of 100 families, 65 families buy Tamil newspapers and 55 families buy English newspapers. Find the number of families who buy
  (i) Both Tamil and English newspapers.
  (ii) Tamil newspapers only
  (iii) English newspapers only.

• 3)

  In a party of 45 people, each one likes tea or coffee or both. 35 people like tea and 20 people like coffee. Find the number of people who
  (i) like both tea and coffee.
  (ii) do not like Tea.
  (iii) do not like coffee

• 4)

  In an examination 50% of the students passed in Mathematics and 70% of students passed in Science while 10% students failed in both subjects. 300 students passed in atleast one subject. Find the total number of students who appeared in the examination, if they took examination in only two subjects.

• 5)

  A and B are two sets such that n(A – B) = 32 + x, n(B – A) = 5x and n(A∩B) = x. Illustrate the information by means of a Venn diagram. Given that n(A) = n(B), calculate the value of x.

9th Standard English Medium Maths Subject Set Language Book Back 5 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Using the adjacent Venn diagram, find the following sets:
  (i) A-B
  (ii) B-C
  (iii) A'\(\cup \)B')
  (iii) A'\(\cap \)B'
  (iv) (B\(\cup \)C)'
  (vi) A-(B\(\cup \)C)
  (vii) A-(B\(\cap \)C)
  

• 2)

  If A, B and C are overlapping sets, then draw Venn diagram for the following sets:
  (i) (A-B)\(\cap \)C
  (ii) (A\(\cup \)C)-B
  (iii) A-(A\(\cap \)C)
  (iv) (B\(\cup \)C)-A
  (v) A\(\cap \)B\(\cap \)C

• 3)

  If A = {x : x = 6n, n\(\in \)W and n < 6}, B = {x : x = 2n, n \(\in \)N and 2 < n ≤ 9} and C = {x : x = 3n, n\(\in \)N and 4n ≤ n < 10}, then show that \(A-(B\cap C)=(A-B)\cup (A-C)\).

• 4)

  If A = {y : y =\(\frac { a+1 }{ 2 } \), a \(\in \) W and a ≤ 5}, B = {y : y =\(\frac { 2n-1 }{ 2 } \), n\(\in \)W and n < 5} and C =\(\left\{ -1,-\frac { 1 }{ 2 } ,1,\frac { 3 }{ 2 } ,2 \right\} \), then show that \(A-(B\cup C)=(A-B)\cap (A-C)\).

• 5)

  Verify \(n\left( A\cup B\cup C \right) =n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\)for the following sets.
  (i) A = {a, c, e, f , h} , B = {c, d, e, f } and C = {a, b, c, f }
  (ii) A = {1, 3, 5} , B = {2, 3, 5, 6} and C = {1, 5, 6, 7}

9th Standard English Medium Maths Subject Set Language Book Back 3 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  If K = {a,b,d e f }  L = {b,c,d,g} and M = {a,b,c,d,h}, then find the following:
  (i) K \(\cup \)(L \(\cap \) M)
  (ii) K \(\cap \)(L \(\cup \) M)
  (iii) (K\(\cup \)L)\(\cap \)(K\(\cup \)M)
  (iv) (K\(\cap \)L)\(\cup \)(K\(\cap \)M)

• 2)

  Draw: Venn diagram for each of the following:
  (i) \(A\cup (B\cap C)\)
  (ii) \(A\cap (B\cup C)\)
  (iii) \((A\cup B)\cap C\)
  (iv) \((A\cap B)\cup C\)

• 3)

  If A = {b,c,e,g,h}, B = {a,c,d,g,i} and C = {a,d,e,g,h}, then show that \(A-(B\cap C)=(A-B)\cup (A-C)\).

• 4)

  In the adjacent diagram, if n(U) = 125, y is two times of x and z is 10 more than x, then find the value of x,y and z.
  

• 5)

  If P = {x : x\(\in \)W and 0 < x < 10} Q = {x : x = 2n+1, n\(\in \)W and n < 5} and R = {2, 3, 5, 7, 11, 13}  then verify P −(Q ⋂ R) = (P − Q) U (P − R).

9th Standard English Medium Maths Subject Set Language Book Back 3 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?

• 2)

  If K = {a,b,d e f }  L = {b,c,d,g} and M = {a,b,c,d,h}, then find the following:
  (i) K \(\cup \)(L \(\cap \) M)
  (ii) K \(\cap \)(L \(\cup \) M)
  (iii) (K\(\cup \)L)\(\cap \)(K\(\cup \)M)
  (iv) (K\(\cap \)L)\(\cup \)(K\(\cap \)M)

• 3)

  Verify \(A-(B\cap C)=(A-B)\cup (A-C)\)using Venn diagrams.

• 4)

  If U = {4,7,8,10,11,12,15,16}, A = {7,8,11,12,} and B = {4,8,12,15}, then verify De Morgan’s Laws for complementation.

• 5)

  Verify \((A\cap B)'=A'\cup B'\) using Venn diagrams.

9th Standard English Medium Maths Subject Set Language Book Back 2 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Which of the following are sets?
  The Collection of rich people in India

• 2)

  Which of the following are sets?
  The Collection of good Hockey players.

• 3)

  Represent the following sets in set builder form.
  B = The set of all Cricket players in India who scored double centuries in One Day Internationals.

• 4)

  Find the cardinal number of the following sets.
  S = The set of all leap years between 1882 and 1906.

• 5)

  Using the given Venn diagram, write the elements of A
  

9th Standard English Medium Maths Subject Set Language Book Back 2 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Write the set of letters of the following words in Roster form
  ASSESSMENT

• 2)

  Write the set of letters of the following words in Roster form
  PRINCIPAL

• 3)

  Write all the subsets of A = {a, b}.

• 4)

  Insert the appropriate symbol \(\subseteq \) or \(\nsubseteq \) in each blank to make a true statement.
  {10, 20, 30} ____ {10, 20, 30, 40}

• 5)

  Insert the appropriate symbol \(\subseteq \) or \(\nsubseteq \) in each blank to make a true statement.
  {p, q, r} _____ {w, x, y, z}

9th Standard English Medium Maths Subject Set Language Book Back 1 Mark Questions with Solution Part - II - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  If n(A) = 10 and n(B) = 15, then the minimum and maximum number of elements in A ∩ B is ________.

• 2)

  If X = {x : x = 4(n – 1), n ∈ N} and Y = {y : y = 3n – 2n – 1, n ∈ N}, then X∪Y is ______________

• 3)

  Let A = {∅} and B = P(A), then A∩B is ________.

• 4)

  If U = {x : x\(\in \)N and x<10}, A = {1, 2, 3, 5, 8} and B = {2, 5, 6, 7, 9}, then n[(A∪B)′] is  ________.

• 5)

  For any three sets P, Q and R, P-(Q\(\\ \cap \)R) is ________.

9th Standard English Medium Maths Subject Set Language Book Back 1 Mark Questions with Solution Part - I - by Question Bank Software - Jun 12, 2021 - View & Read

• 1)

  Which of the following is correct?

• 2)

  The set P = {x | x ∈ Z , –1 < x < 1} is a –––––––––.

• 3)

  If U = {x | x ∈ N, x < 10} and A = {x | x ∈ N, 2 ≤ x < 6} then (A′)′ is –––––––––.

• 4)

  If B ⊆ A then n(A∩B) is –––––––––.

• 5)

  If A = {x, y, z} then the number of non - empty subsets of A is ________.

9th Standard Maths Reduced Syllabus 2020-21 - by QB Admin - May 19, 2021 - View & Read

9th Standard Maths Text Book - by QB Admin - Apr 27, 2021 - View & Read