10th Standard EM Maths Study material & Free Online Practice Tests - View Model Question Papers with Solutions for Class 10 Session 2019 - 2020
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Maths Question Papers

10th Maths - Geometry Important Questions - by Indumathi - Namakkal - View & Read

  • 1)

    If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when

  • 2)

    if \(\triangle\)ABC, DE||BC, AB=3.6cm, AC=24 cm and AD=2.1 cm then the length of AE is

  • 3)

    Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

  • 4)

    In figure if PR is tangent to the circle at P and O is the centre of the circle, then \(\angle PQR\) is

  • 5)

    Is \(\triangle\)ABC~\(\triangle\)PQR?

10th Maths - Algebra Model Questions - by Indumathi - Namakkal - View & Read

  • 1)

    A system of three linear equations in three variables is inconsistent if their planes

  • 2)

    \(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives

  • 3)

    The square root of \(\frac { 256{ x }^{ 8 }{ y }^{ 4 }{ z }^{ 10 } }{ 25{ x }^{ 6 }{ y }^{ 6 }{ z }^{ 6 } } \) is equal to

  • 4)

    If the roots of the equation q2x2 + p2x + r2 = 0 are the squares of the roots of the equation qx2 + px + r = 0, then q, p, r are in __________.

  • 5)

    Solve \(\frac { x }{ 2 } -1=\frac { y }{ 6 } +1=\frac { z }{ 7 } +2\)\(\frac { y }{ 3 } +\frac { z }{ 2 } =13\)

10th Maths - Numbers and Sequences Model Questions - by Indumathi - Namakkal - View & Read

  • 1)

    The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

  • 2)

    If 6 times of 6th term of an A.P. is equal to 7 times the 7th term, then the 13th term of the A.P. is

  • 3)

    The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is

  • 4)

    If the sequence t1,t2,t3...are in A.P. then the sequence t6,t12,t18,....is

  • 5)

    Find the HCF of 396, 504, 636.

10th Maths - Relations and Functions Model Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    If the ordered pairs (a+2,4) and (5,2a+b) are equal then (a,b) is

  • 2)

    Let n(A)= m and n(B) = n then the total number of non-empty relations that can be defined from A to B is

  • 3)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 4)

    f(x) = (x+1)3 - (x-1)3 represents a function which is

  • 5)

    Let X={1,2,3,4} and Y={2,4,6,8,10} and R={(1,2),(2,4),(3,6),(4,8)} Show that R is a function and find its domain, co-domain and range?

10th Maths - Half Yearly Model Question Paper 2019 - by Indumathi - Namakkal - View & Read

  • 1)

    If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

  • 2)

    If the sequence t1,t2,t3...are in A.P. then the sequence t6,t12,t18,....is

  • 3)

    Which of the following should be added to make x4 + 64 a perfect square

  • 4)

    In figure CP and CQ are tangents to a circle with centre at O. ARB is another tangent touching the circle at R. If CP=11 cm andBC =7 cm, then the length of BR is

  • 5)

    A straight line has equation 8y = 4x + 21. Which of the following is true

10th Standard Maths - Term II Model Question Paper - by Selvamary - Erode - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    f(x) = (x+1)3 - (x-1)3 represents a function which is

  • 3)

    If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is

  • 4)

    A system of three linear equations in three variables is inconsistent if their planes

  • 5)

    If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C=90o and AC = 5 cm, then AB is

10th Standard Maths - Statistics and Probability Model Question Paper - by Selvamary - Erode - View & Read

  • 1)

    Which of the following is not a measure of dispersion?

  • 2)

    If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is

  • 3)

    The probability of getting a job for a person is \(\frac{x}{3}\). If the probability of not getting the job is \(\frac{2}{3}\)  then the value of x is

  • 4)

    A purse contains 10 notes of Rs.2000, 15 notes of Rs.500, and 25 notes of Rs.200. One note is drawn at random. What is the probability that the note is either a Rs.500 note or Rs.200 note?

  • 5)

    A girl Calculates the probability of her winning in a match is 0.08 what is the probability of her losing the game 

10th Maths - Mensuration Model Question Paper - by Selvamary - Erode - View & Read

  • 1)

    If the radius of the base of a right circular cylinder is halved keeping the same height, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is

  • 2)

    If the radius of the base of a cone is tripled and the height is doubled then the volume is

  • 3)

    A shuttle cock used for playing badminton has the shape of the combination of

  • 4)

    The volume (in cm3) of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is

  • 5)

    The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is

10th Maths - Coordinate Geometry Five Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    The line r passes through the points (–2, 2) and (5, 8) and the line θ passes through the points (–8, 7) and (–2, 0). Is the line r perpendicular to θ ?

  • 2)

    The line p passes through the points (3, - 2), (12, 4) and the line q passes through the points (6, -2) and (12, 2). Is parallel to q ?

  • 3)

    Show that the straight lines 2x + 3y - 8 = 0 and 4x + 6y + 18 = 0 are parrel.

  • 4)

    Show that the straight lines x - 2y + 3 = 0 and 6x + 3y + 8 = 0 are perpendicular.

  • 5)

    A(1, -2), B(6, -2), C(5, 1) and D(2, 1) be four points
    What can you deduce from your answer.

10th Maths - Trigonometry Five Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    If sin (A - B) = \(\frac12\),  cos (A + B) = \(\frac12\), 0o < A + ≤  90°, A > B, find A and B.

  • 2)

    Express the ratios cos A, tan A and see A in terms-of sin A.

  • 3)

    If sin 3A = cos (A - 26°), where 3A is an acute angle, find the value at A.

  • 4)

    If ATB=90o then prove that
    \(\sqrt { \frac { tanA\quad tanB+tanA\quad cotB }{ sinA\quad secB } } -\frac { { Sin }^{ 2 }A }{ { Cos }^{ 2 }A } =tanA\)

  • 5)

    P.T (1+tan∝tan∝tanβ)2 +(tan∝-tanβ)2 =sec2 ∝sec2β.

10th Standard Maths - Statistics and Probability Five Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    The mean of a data is 25.6 and its coefficient of variation is 18.75. Find the standard deviation.

  • 2)

    The consumption of number of guava and orange on a particular week by a family are given below.

    Number of Guavas 3 5 6 4 3 5 4
    Number of Oranges 1 3 7 9 2 6 2

    Which fruit is consistently consumed by the family?

  • 3)

    If P(A).=037, P(B).=0.42, P(A∩B) =009 then find P(AUB).

  • 4)

    What is the probability of drawing either a king or a queen in a single draw from a well shuffled pack of 52 cards?

  • 5)

    A card is drawn from a pack of 52 cards. Find the probability of getting a king or a heart or a red card.

10th Standard Maths - Mensuration Five Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    Find the volume of a cylinder whose height is 2 m and whose base area is 250 m2.

  • 2)

    The volume of a cylindrical water tank is 1.078×106 litres. If the diameter of the tank is 7m, find its height.

  • 3)

    The volume of a solid right circular cone is 11088 cm3. If its height is 24 cm then find the radius of the cone.

  • 4)

    The volume of a solid hemisphere is 29106 cm3. Another hemisphere whose volume is two-third of the above is carved out. Find the radius of the new hemisphere.

  • 5)

    Calculate the weight of a hollow brass sphere if the inner diameter is 14 cm and thickness is 1mm, and whose density is 17.3 g/ cm3.

10th Standard Maths - Geometry Five Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    D and E are respectively the points on the sides AB and AC of a DABC such that AB=5.6 cm, AD=1.4 cm, AC=7.2 cm and AE = 1.8 cm, show that DE||BC

  • 2)

     DE||AC and DC||AP. Prove that \(\cfrac { BE }{ CE } =\cfrac { BC }{ CP } \)

  • 3)

    Construct a triangle \(\triangle\)PQR such that QR = 5 cm, \(\angle\)P=30 and the altitude from P to QR is of length 4.2 cm.

  • 4)

    Draw a triangle ABC of base BC = 8 cm, \(\angle\)A=60o and the bisector of \(\angle\)A meets BC at D such that BD = 6 cm.

  • 5)

    In Fig, ABC is a triangle with \(\angle\)B=90o, BC=3cm and AB=4 cm. D is point on AC such that AD=1 cm and E is the midpoint of AB. Join D and E and extend DE to meet CB at F. Find BF.

10th Standard Maths - Trigonometry Model Question Paper - by Selvamary - Erode - View & Read

  • 1)

    tan\(\theta \)cosec2\(\theta \)-tan\(\theta \) is equal to 

  • 2)

    (1+tan\(\theta \)+sec\(\theta \)) (1+cot\(\theta \)-cosec\(\theta \)) is equal to 

  • 3)

    If the ratio of the height of a tower and the length of its shadow is \(\sqrt { 3 } \):1 then the angle of elevation of the sun has measure

  • 4)

    The angle of elevation of a cloud from a point h metres above a lake is \(\beta \). The angle of depression of its reflection in the lake is 45°. The height of location of the cloud from the lake is

  • 5)

    The value of the expression [cosec(75o+θ)-sec (15o-θ)-tan(55o+θ)+cot(35o-θ] is

10th Standard Maths - Coordinate Geometry Model Question Paper - by Selvamary - Erode - View & Read

  • 1)

    The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is

  • 2)

    The slope of the line joining (12, 3) , (4, a) is \(\frac 18\)The value of ‘a’ is

  • 3)

    If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is

  • 4)

    A straight line has equation 8y = 4x + 21. Which of the following is true

  • 5)

    (2, 1) is the point of intersection of two lines.

10th Science - Relations and Functions Five Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    The arrow diagram shows a relationship between the sets P and Q. Write the relation in (i) Set builder form (ii) Roster form (iii) What is the domain and range of R.

  • 2)

    Let A={1,2,3}, B={4,5,6,7}, and f={(1,4),(2,5),(3,6)}  be a function from A to B. Show that f is one – one but not onto function.

  • 3)

    If A={-2,-1,0,1,2} and f: A ⟶ B is an onto function defined by f(x)=x2+x+1 then find B.

  • 4)

    If the function f: R⟶ R defined by 

    (i) f(4)
    (ii) f(-2)
    (iii) f(4)+2f(1)
    (iv) \(\frac { f(1)-3f(4) }{ f(-3) } \)

  • 5)

    Let f = {(2, 7); (3, 4), (7, 9), (-1, 6), (0, 2), (5,3)} be a function from A = {-1,0, 2, 3, 5, 7} to B = {2, 3, 4, 6, 7, 9}. Is this (i) an one-one function (ii) an onto function, (iii) both oneone and onto function?

10th Science - Numbers and Sequences Five Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    How many terms of the series 1 + 5 +9 + ....must be taken so that their sum is 190?

  • 2)

    The 13th term of an A.P is 3 and the sum of the first 13 terms is 234.Find the common difference and the sum of first 21 terms.

  • 3)

    Find the sum of all natural numbers between 300 and 600 which are divisible by 7.

  • 4)

    Which of the following list of numbers form an AP? If they form an AP, write the next two terms:
    4,10,16,22, ...

  • 5)

    Which of the following list of numbers form an AP? If they form an AP, write the next two terms:
    1,-1,-3, -5, ...

10th Maths - Algebra Five Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    Find the square root of the following expressions
    256(x - a)2 (x - b)4 (x - c)16 (x - d)20

  • 2)

    Find the zeroes of the quadratic expression x2 + 8x + 12

  • 3)

    Write down the quadratic equation in general form for which sum and product of the roots are given below.
    9, 14

  • 4)

    Solve x2 - 3x - 2 = 0

  • 5)

    Draw the graph of y = 2x2 and hence solve 2x2 - x - 6 = 0

10th Standard Maths - Geometry Model Question Paper - by Selvamary - Erode - View & Read

  • 1)

    If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when

  • 2)

    if \(\triangle\)ABC, DE||BC, AB=3.6cm, AC=24 cm and AD=2.1 cm then the length of AE is

  • 3)

    Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

  • 4)

    How many tangents can be drawn to the circle from an exterior point?

  • 5)

    In figure if PR is tangent to the circle at P and O is the centre of the circle, then \(\angle PQR\) is

10th Standard Maths - Algebra Model Question Paper - by Selvamary - Erode - View & Read

  • 1)

    A system of three linear equations in three variables is inconsistent if their planes

  • 2)

    \(\frac {3y - 3}{y} \div \frac {7y - 7}{3y^{2}}\) is

  • 3)

    Which of the following should be added to make x4 + 64 a perfect square

  • 4)

    Graph of a linear polynomial is a

  • 5)

    Transpose of a column matrix is

10th Standard Maths - Numbers and Sequences Model Question Paper - by Selvamary - Erode - View & Read

  • 1)

    Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy

  • 2)

    74k \(\equiv \) ________ (mod 100)

  • 3)

    An A.P. consists of 31 terms. If its 16th term is m, then the sum of all the terms of this A.P. is

  • 4)

    The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is

  • 5)

    The value of (13+23+33+...153) - (1+2+3+...+15)is 

10th Standard Maths - Relations and Functions Model Question Paper - by Selvamary - Erode - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    If the ordered pairs (a+2,4) and (5,2a+b) are equal then (a,b) is

  • 3)

    If f(x)=2x2 and g(x)=\(\frac{1}{3x}\), then f o g is

  • 4)

    If f: A ⟶ B is a bijective function and if n(B) =8, then n(A) is equal to

  • 5)

    f(x) = (x+1)3 - (x-1)3 represents a function which is

10th Maths Unit 1 Relations and Functions Model Question Paper - by Indumathi - Namakkal - View & Read

10th Maths - Statistics and Probability Two Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    The number of televisions sold in each day of a week are 13, 8, 4, 9, 7, 12, 10. Find its standard deviation.

  • 2)

    Find the mean and variance of the first n natural numbers.

  • 3)

    48 students were asked to write the total number of hours per week they spent on watching television. With this information find the standard deviation of hours spent for watching television.

    x 6 7 8 9 10 11 12
    f 3 6 9 13 8 5 4
  • 4)

    Marks of the students in a particular subject of a class are given below:

    Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70
    Number of students 8 12 17 14 9 7 4

    Find its standard deviation.

  • 5)

    Two coins are tossed together. What is the probability of getting different faces on the coins?

10th Maths - Mensuration Two Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    The curved surface area of a right circular cylinder of height 14 cm is 88 cm2 . Find the diameter of the cylinder.

  • 2)

    A garden roller whose length is 3 m long and whose diameter is 2.8 m is rolled to level a garden. How much area will it cover in 8 revolutions?

  • 3)

    If the total surface area of a cone of radius 7cm is 704 cm2, then find its slant height.

  • 4)

    From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and base is hollowed out (Fig.7.13). Find the total surface area of the remaining solid.

  • 5)

    The radius of a spherical balloon increases from 12 cm to 16 cm as air being pumped into it. Find the ratio of the surface area of the balloons in the two cases.

10th Maths - Trigonometry Two Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    prove that\(\left( \frac { co{ s }^{ 3 }A-si{ n }^{ 3 }A }{ cosA-sinA } \right) -\left( \frac { co{ s }^{ 3 }A+si{ n }^{ 3 }A }{ cosA+sinA } \right) =2sinAcosA\)

  • 2)

    prove that \(\frac { sinA }{ secA+tanA-1 } +\frac { cosA }{ cosecA+cotA-1 } =1\)

  • 3)

    As observed from the top of a 60 m high light house from the sea level, the angles of depression of two ships are 28° and45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.
    (tan28°=0.5317)

  • 4)

    A man is watching a boat speeding away from the top of a tower. The boat makes an angle of depression of 60° with the man’s eye when at a distance of 200 m from the tower. After 10 seconds, the angle of depression becomes 45°. What is the approximate speed of the boat (in km / hr), assuming that it is sailing in still water?(\(\sqrt { 3 } \)=1.732)

  • 5)

    If tan A=\(\frac{3}{4}\), then sin A cos A=\(\frac{12}{15}\)

10th Maths - Coordinate Geometry Two Marks Questions - by Indumathi - Namakkal - View & Read

  • 1)

    Show that the points P(-1.5,3), Q(6,-2) , R(-3,4) are collinear.

  • 2)

    If the area of the triangle formed by the vertices A(-1,2) , B(k,-2) and C(7,4) (taken in order) is 22 sq. units, find the value of k.

  • 3)

    Find the area of the quadrilateral formed by the points (8, 6), (5, 11), (-5, 12) and (-4, 3).

  • 4)

    The given diagram shows a plan for constructing a new parking lot at a campus. It is estimated that such construction would cost Rs. 1300 per square feet. What will be the total cost for making the parking lot?

  • 5)

    Calculate the slope and y intercept of the straight line 8x − 7y + 6=0

10th Maths - Term 1 Model Question Paper - by Selvamary - Erode - View & Read

  • 1)

    Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

  • 2)

    If (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6 then the value of k is

  • 3)

    Graph of a linear polynomial is a

  • 4)

    If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C=90o and AC = 5 cm, then AB is

  • 5)

    The point of intersection of 3x − y = 4 and x + y = 8 is

10th Maths - Geometry Two Marks Question - by Indumathi - Namakkal - View & Read

  • 1)

    Is \(\triangle\)ABC~\(\triangle\)PQR?

  • 2)

    A boy of height 90cm is walking away from the base of a lamp post at a speed of 1.2m/sec. If the lamppost is 3.6m above the ground, find the length of his shadow cast after 4 seconds.

  • 3)

    \(\angle A=\angle CED\) prove that \(\Delta\ CAB \sim \Delta CED\) Also find the value of x.

  • 4)

    If \(\triangle\)ABC is similar to\(\triangle\)DEFsuch that BC=3 cm, EF=4 cm and area of \(\triangle\)ABC= 54 cm2. Find the area of \(\triangle\)DEF.

  • 5)

    An insect 8 m away initially from the foot of a lamp post which is 6 m tall, crawls towards it moving through a distance. If its distance from the top of the lamp post is equal to the distance it has moved, how far is the insect away from the foot of the lamp post?

10th Science - Algebra Two Marks Question - by Indumathi - Namakkal - View & Read

  • 1)

    The father’s age is six times his son’s age. Six years hence the age of father will be four times his son’s age. Find the present ages (in years) of the son and father.

  • 2)

    Find \(\frac { { x }^{ 2 }+20x+36 }{ { x }^{ 2 }-3x-28 } -\frac { { x }^{ 2 }+12x+4 }{ { x }^{ 2 }-3x-28 } \)

  • 3)

    Find the square root of 64x4 - 16x3 + 17x2 - 2x + 1

  • 4)

    If 9x4 + 12x3 + 28x2 + ax + b is a perfect square, find the values of a and b.

  • 5)

    Solve 2m2+ 19m + 30 = 0

10th Maths Unit 2 Numbers and Sequences Two Marks Question - by Indumathi - Namakkal - View & Read

  • 1)

    We have 34 cakes. Each box can hold 5 cakes only. How many boxes we need to pack and how many cakes are unpacked?

  • 2)

    Find the remainders when 70004 and 778 is divided by 7

  • 3)

    Find the number of integer solutions of 3x \(\equiv \) 1 (mod 15).

  • 4)

    Write an A.P. whose first term is 20 and common difference is 8.

  • 5)

    Find the number of terms in the A.P. 3, 6, 9, 12,…, 111.

10th Maths Chapter 1 Relations and Functions Two Marks Question - by Indumathi - Namakkal - View & Read

  • 1)

    If A x B = {(3,2), (3,4), (5,2), (5,4)} then find A and B.

  • 2)

    Let A = {x \(\in \) N| 1 < x < 4}, B={x \(\in \) W| 0 ≤ x < 2) and C={x \(\in \) N| x < 3} Then verify that
    (i) A x (B U C) = (A x B) U (A x C)
    (ii) A x (B ∩ C) = (A x B) ∩ (A x C)

  • 3)

    Let X={1,2,3,4} and Y={2,4,6,8,10} and R={(1,2),(2,4),(3,6),(4,8)} Show that R is a function and find its domain, co-domain and range?

  • 4)

    A relation ‘f’ is defined by f(x)=x2-2 where x\(\in \){-2,-1,0,3}
    (i) List the elements of f
    (ii) Is f a function?

  • 5)

    If f(x)=3x-2, g(x)=2x+k and if f o g = f o f, then find the value of k..

10th Maths - Term 1 Five Mark Model Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    Let A = {3,4,7,8} and B = {1,7,10}. Which of the following sets are relations from A to B?
    (i) R1={(3,7), (4,7), (7,10), (8,1)}
    (ii) R2= {(3,1), (4,12)}
    (iii) R3= {(3,7), (4,10), (7,7), (7,8), (8,11), (8,7), (8,10)}

  • 2)

    Let A = {1,2,3,4} and B ={2,5,8,11,14} be two sets. Let f: A ⟶ B be a function given by f(x)=3x−1. Represent this function
    (i) by arrow diagram
    (ii) in a table form
    (iii) as a set of ordered pairs
    (iv) in a graphical form

  • 3)

    The general term of a sequence is defined as 
    an = {\(\begin{matrix} n\left( n+3 \right) ;n\epsilon N\quad is\quad odd \\ { n }^{ 2 }+1;n\epsilon N\quad is\quad even \end{matrix}\)
    Find the eleventh and eighteenth terms.

  • 4)

    In an A.P. the sum of first n terms is \(\frac { { 5n }^{ 2 } }{ 2 } +\frac { 3n }{ 2 } \). Find the 17th term

  • 5)

    Find the GCD of 6x3 - 30x2 + 60x - 48 and 3x3 - 12x2 + 21x - 18.

10th Maths Quarterly Model Questions Paper - by Indumathi - Namakkal - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

  • 3)

    If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C=90o and AC = 5 cm, then AB is

  • 4)

    if \(\triangle\)ABC, DE||BC, AB=3.6cm, AC=24 cm and AD=2.1 cm then the length of AE is

  • 5)

    The slope of the line which is perpendicular to line joining the points (0, 0) and (–8, 8) is

10th Standard Maths Unit 8 Statistics and Probability Book Back Questions - by Indumathi - Namakkal - View & Read

  • 1)

    Which of the following is not a measure of dispersion?

  • 2)

    The range of the data 8, 8, 8, 8, 8. . . 8 is

  • 3)

    The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all deviations is

  • 4)

    The probability a red marble selected at random from a jar containing p red, q blue and r green marbles is

  • 5)

    A page is selected at random from a book. The probability that the digit at units place of the page number chosen is less than 7 is

10th Standard Maths Unit 7 Mensuration Book Back Questions - by Indumathi - Namakkal - View & Read

  • 1)

    The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is

  • 2)

    If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is

  • 3)

    Th e height of a right circular cone whose radius is 5 cm and slant height is 13 cm will be

  • 4)

    A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius. The height of the cone is

  • 5)

    A shuttle cock used for playing badminton has the shape of the combination of

10th Standard Maths Unit 6 Trigonometry Book Back Questions - by Indumathi - Namakkal - View & Read

  • 1)

    The value of is \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) equal to

  • 2)

    if sin\(\theta \)=cos\(\theta \)=a and sec\(\theta \)+cosec\(\theta \)=b, then the value of b (a2-1) is equal to 

  • 3)

    (1+tan\(\theta \)+sec\(\theta \)) (1+cot\(\theta \)-cosec\(\theta \)) is equal to 

  • 4)

    The electric pole subtends an angle of 30° at a point on the same level as its foot. At a second point ‘b’ metres above the first, the depression of the foot of the tower is 60°. The height of the tower (in metres) is equal to

  • 5)

    A tower is 60 m height. Its shadow is x metres shorter when the sun’s altitude is 45° than when it has been 30°, then x is equal to

10th Standard Maths Unit 5 Coordinate Geometry Book Back Questions - by Indumathi - Namakkal - View & Read

  • 1)

    The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is

  • 2)

    A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is

  • 3)

    The straight line given by the equation x = 11 is

  • 4)

    If slope of the line PQ is \(\frac { 1 }{ \sqrt { 3 } } \) then the slope of the perpendicular bisector of PQ is

  • 5)

    The equation of a line passing through the origin and perpendicular to the line

10th Standard Maths Unit 4 Geometry Book Back Questions - by Indumathi - Namakkal - View & Read

  • 1)

    If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when

  • 2)

    In \(\angle\)LMN, \(\angle\)L=60o,\(\angle\)M=50o, If \(\triangle\)LMN~\(\triangle\)PQR then the value of \(\angle\)R is

  • 3)

    if \(\triangle\)ABC, DE||BC, AB=3.6cm, AC=24 cm and AD=2.1 cm then the length of AE is

  • 4)

    Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?

  • 5)

    The two tangents from an external points P to a circle with centre at O are PA and PB.If \(\angle APB\)=70o then the value of \(\angle AOB\) is

10th Standard Maths - Numbers and Sequences Book Back Questions - by Indumathi - Namakkal - View & Read

  • 1)

    Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy

  • 2)

    Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

  • 3)

    If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is

  • 4)

    Given F1 = 1, F2 = 3 and Fn = Fn-1+Fn-2 then F5 is

  • 5)

    If 6 times of 6th term of an A.P. is equal to 7 times the 7th term, then the 13th term of the A.P. is

10th Standard Maths - Algebra Book Back Questions - by Indumathi - Namakkal - View & Read

  • 1)

    A system of three linear equations in three variables is inconsistent if their planes

  • 2)

    The solution of the system x + y − 3x = −6, −7y + 7z = 7 , 3z = 9 is

  • 3)

    If (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6 then the value of k is

  • 4)

    \(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives

  • 5)

    The solution of (2x - 1)2 = 9 is equal to

10th Maths Unit 1 Relations and Functions Book Back Questions - by Indumathi - Namakkal - View & Read

  • 1)

    If f: A ⟶ B is a bijective function and if n(B) =8, then n(A) is equal to

  • 2)

    Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then

  • 3)

    If g={(1,1), (2,3), (3,5), (4,7)} is a function givrn by g(x)=αx+β then the values of α and β are

  • 4)

    f(x) = (x+1)3 - (x-1)3 represents a function which is

  • 5)

    Represent the function f(x)=\(\sqrt { 2x^{ 2 }-5x+3 } \) as a composition of two functions.

10th Standard Maths Chapter 1 Relations and Functions One Mark Question with Answer Key - by Indumathi - Namakkal - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 3)

    If A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8} then state which of the following statement is true..

  • 4)

    If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

  • 5)

    The range of the relation R ={(x,x2) |x is a prime number less than 13} is

10th Standard Maths Unit 8 Statistics and Probability One Mark Question and Answer - by Indumathi - Namakkal - View & Read

  • 1)

    Which of the following is not a measure of dispersion?

  • 2)

    The range of the data 8, 8, 8, 8, 8. . . 8 is

  • 3)

    The sum of all deviations of the data from its mean is

  • 4)

    A number x is chosen at random from -4, -3, -2, -1, 0, 1, 2, 3, 4 find the probability that |x|≤4

  • 5)

    which of the following is true?

10th Maths - Mensuration One Mark Question with Answer - by Indumathi - Namakkal - View & Read

  • 1)

    The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is

  • 2)

    If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is

  • 3)

    In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is

  • 4)

    If the radius of the base of a cone is tripled and the height is doubled then the volume is

  • 5)

    The total surface area of a hemi-sphere is how much times the square of its radius.

10th Maths Chapter 6 Trigonometry - One Mark Question with Answer Key - by Indumathi - Namakkal - View & Read

  • 1)

    The value of is \(si{ n }^{ 2 }\theta +\frac { 1 }{ 1+ta{ n }^{ 2 }\theta } \) equal to

  • 2)

    if sin\(\theta \)=cos\(\theta \)=a and sec\(\theta \)+cosec\(\theta \)=b, then the value of b (a2-1) is equal to 

  • 3)

    (1+tan\(\theta \)+sec\(\theta \)) (1+cot\(\theta \)-cosec\(\theta \)) is equal to 

  • 4)

    a cot\(\theta \)+b cosec\(\theta \) =p and b cot \(\theta \)+a cosec\(\theta \) =q then p2-qis equal to 

  • 5)

    If sin A=\(\frac{1}{2}\), then the value of cot A is

10th Maths Unit 5 Coordinate Geometry One Mark Question and Answer - by Indumathi - Namakkal - View & Read

  • 1)

    The area of triangle formed by the points (−5, 0), (0, −5) and (5, 0) is

  • 2)

    A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is

  • 3)

    The straight line given by the equation x = 11 is

  • 4)

    If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is

  • 5)

    The point of intersection of 3x − y = 4 and x + y = 8 is

10th Maths - Geometry One Mark Question with Answer - by Indumathi - Namakkal - View & Read

  • 1)

    If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when

  • 2)

    In \(\angle\)LMN, \(\angle\)L=60o,\(\angle\)M=50o, If \(\triangle\)LMN~\(\triangle\)PQR then the value of \(\angle\)R is

  • 3)

    If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C=90o and AC = 5 cm, then AB is

  • 4)

    In a given figure ST||QR,PS=2cm and SQ=3 cm.
    Then the ratio of the area of \(\triangle\)PQR to the area \(\triangle\)PST is 

  • 5)

    The perimeters of two similar triangles\(\triangle\)ABC and \(\triangle\)PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is

10th Maths Unit 3 Algebra - One Mark Question Paper with Answer Key - by Indumathi - Namakkal - View & Read

  • 1)

    A system of three linear equations in three variables is inconsistent if their planes

  • 2)

    The solution of the system x + y − 3x = −6, −7y + 7z = 7 , 3z = 9 is

  • 3)

    y2 + \(\frac {1}{y^{2}}\) is not equal to

  • 4)

    The square root of \(\frac { 256{ x }^{ 8 }{ y }^{ 4 }{ z }^{ 10 } }{ 25{ x }^{ 6 }{ y }^{ 6 }{ z }^{ 6 } } \) is equal to

  • 5)

    The solution of (2x - 1)2 = 9 is equal to

10th Maths Unit 2 Numbers and Sequences One Mark Questions With Answer - by Indumathi - Namakkal - View & Read

  • 1)

    Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy

  • 2)

    Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

  • 3)

    If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is

  • 4)

    The sum of the exponents of the prime factors in the prime factorization of 1729 is

  • 5)

    The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

10th Maths Relations and Functions One Mark Questions Paper - by Indumathi - Namakkal - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 3)

    If A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8} then state which of the following statement is true..

  • 4)

    If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

  • 5)

    The range of the relation R ={(x,x2) |x is a prime number less than 13} is

10th Maths Quarterly Exam Model Two Marks Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    If X = {–5,1,3,4} and Y = {a,b,c}, then which of the following relations are functions from X to Y ?
    (i) R1= {(–5,a), (1,a), (3,b)}
    (ii) R2= {(–5,b), (1,b), (3,a),(4,c)}
    (iii) R3 = {(–5,a), (1,a), (3,b),(4,c),(1,b)}

  • 2)

    If f(x)=2x+3, g(x)=1-2x and h(x)=3x. Prove that f 0 (f o g) o h.

  • 3)

    Let A = {0, 1, 2, 3} and B = {1, 3, 5, 7, 9} be two sets. Letf: A \(\rightarrow\)B be a function given by  f(x) = 2x + 1. Represent this function as  a set of ordered pairs.

  • 4)

    Find the HCF of 396, 504, 636.

  • 5)

    Determine the general term of an A.P. whose 7th term is -1 and 16th term is 17.

10th Maths August Monthly Model Test Paper - by Indumathi - Namakkal - View & Read

  • 1)

    A system of three linear equations in three variables is inconsistent if their planes

  • 2)

    y2 + \(\frac {1}{y^{2}}\) is not equal to

  • 3)

    The square root of \(\frac { 256{ x }^{ 8 }{ y }^{ 4 }{ z }^{ 10 } }{ 25{ x }^{ 6 }{ y }^{ 6 }{ z }^{ 6 } } \) is equal to

  • 4)

    Transpose of a column matrix is

  • 5)

    In \(\angle\)LMN, \(\angle\)L=60o,\(\angle\)M=50o, If \(\triangle\)LMN~\(\triangle\)PQR then the value of \(\angle\)R is

10th Standard Maths Model Question Paper 2019 - 2020 - by Indumathi - Namakkal - View & Read

SSLC Maths Chapter 5 Coordinate Geometry Model Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y axis. The path travelled by the man is

  • 2)

    The slope of the line which is perpendicular to line joining the points (0, 0) and (–8, 8) is

  • 3)

    The equation of a line passing through the origin and perpendicular to the line

  • 4)

    When proving that a quadrilateral is a trapezium, it is necessary to show

  • 5)

    (2, 1) is the point of intersection of two lines.

10th Standard Maths First Mid Term Model Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    If g={(1,1), (2,3), (3,5), (4,7)} is a function givrn by g(x)=αx+β then the values of α and β are

  • 3)

    74k \(\equiv \) ________ (mod 100)

  • 4)

    An A.P. consists of 31 terms. If its 16th term is m, then the sum of all the terms of this A.P. is

  • 5)

    The value of (13+23+33+...153) - (1+2+3+...+15)is 

1. RELATIONS AND FUNCTIONS - by 9444441210 - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 3)

    If A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8} then state which of the following statement is true..

  • 4)

    If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

  • 5)

    The range of the relation R ={(x,x2) |x is a prime number less than 13} is

10th Standard Maths Geometry Model Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when

  • 2)

    If \(\triangle\)ABC is an isosceles triangle with \(\angle\)C=90o and AC = 5 cm, then AB is

  • 3)

    if \(\triangle\)ABC, DE||BC, AB=3.6cm, AC=24 cm and AD=2.1 cm then the length of AE is

  • 4)

    A tangent is perpendicular to the radius at the

  • 5)

    In figure if PR is tangent to the circle at P and O is the centre of the circle, then \(\angle PQR\) is

10th Standard Maths Chapter 3 Algebra Important Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    A system of three linear equations in three variables is inconsistent if their planes

  • 2)

    The solution of the system x + y − 3x = −6, −7y + 7z = 7 , 3z = 9 is

  • 3)

    If (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6 then the value of k is

  • 4)

    \(\frac {3y - 3}{y} \div \frac {7y - 7}{3y^{2}}\) is

  • 5)

    y2 + \(\frac {1}{y^{2}}\) is not equal to

10th Standard Maths Chapter 2 Numbers and Sequences Important Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy

  • 2)

    Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are

  • 3)

    If the HCF of 65 and 117 is expressible in the form of 65m - 117 , then the value of m is

  • 4)

    The sum of the exponents of the prime factors in the prime factorization of 1729 is

  • 5)

    The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

SSLC Maths Chapter 1 Important Question Paper - by Indumathi - Namakkal - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 3)

    Let n(A)= m and n(B) = n then the total number of non-empty relations that can be defined from A to B is

  • 4)

    If {(a,8),(6,b)}represents an identity function, then the value of a and b are respectively

  • 5)

    Let A={1,2,3,4} and B={4,8,9,10}. A function f: A ⟶ B given by f={(1,4), (2,8), (3,9), (4,10)} is a

frequently asked five mark questions in maths chapter one for state board english mesium - by Karthik - View & Read

  • 1)

    Let A = {1,2,3,4} and B ={2,5,8,11,14} be two sets. Let f: A ⟶ B be a function given by f(x)=3x−1. Represent this function
    (i) by arrow diagram
    (ii) in a table form
    (iii) as a set of ordered pairs
    (iv) in a graphical form

  • 2)

    Using horizontal line test (Fig.1.35(a), 1.35(b), 1.35(c)), determine which of the following functions are one – one.

  • 3)

    Let A={1,2,3}, B={4,5,6,7}, and f={(1,4),(2,5),(3,6)}  be a function from A to B. Show that f is one – one but not onto function.

  • 4)

    If A={-2,-1,0,1,2} and f: A ⟶ B is an onto function defined by f(x)=x2+x+1 then find B.

  • 5)

    Let f be a function f:N ⟶ N be defined by f(x) = 3x+2, x\(\in \)N
    (i) Find the images of 1, 2, 3
    (ii) Find the pre-images of 29, 53
    (ii) Identify the type of function

Maths chapter one important questions for state board english medium - by Karthik - View & Read

  • 1)

    A relation ‘f’ is defined by f(x)=x2-2 where x\(\in \){-2,-1,0,3}
    (i) List the elements of f
    (ii) Is f a function?

  • 2)

    If X = {–5,1,3,4} and Y = {a,b,c}, then which of the following relations are functions from X to Y ?
    (i) R1= {(–5,a), (1,a), (3,b)}
    (ii) R2= {(–5,b), (1,b), (3,a),(4,c)}
    (iii) R3 = {(–5,a), (1,a), (3,b),(4,c),(1,b)}

  • 3)

    Given f(x) =2x-x2, find
    (i) f (1)
    (ii) f (x+1)
    (iii) f (x) + f (1)

  • 4)

    Find f o g and g o f when f(x)=2x+1 and g(x)=x2-2

  • 5)

    Represent the function f(x)=\(\sqrt { 2x^{ 2 }-5x+3 } \) as a composition of two functions.

10th standard new syllabus creative multiple choice questions in chapter one maths - by Karthik - View & Read

  • 1)

    If n(A x B) =6 and A={1,3} then n(B) is

  • 2)

    A={a,b,p}, B={2,3}, C={p,q,r,s} then n[(A U C) x B] is

  • 3)

    If A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8} then state which of the following statement is true..

  • 4)

    If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is

  • 5)

    The range of the relation R ={(x,x2) |x is a prime number less than 13} is

View all

TN Stateboard Education Study Materials

TN Stateboard Updated Class 10th Maths Syllabus

Relations and Functions

Introduction - Ordered Pair - Cartesian Product - Relations - Functions - Representation of Functions - Types of functions - Special cases of Functions - Composition of Functions - Identifying the graphs of Linear, Quadratic, Cubic and Reciprocal functions

Numbers and Sequences

Introduction - Euclid’s Division Lemma - Euclid’s Division Algorithm - Fundamental Theorem of Arithmetic - Modular Arithmetic - Sequences - Arithmetic Progression - Sum to n terms of Arithmetic Progression - Geometric Progression - Sum to n terms of Geometric Progression - Special Series

Algebra

Introduction - Simultaneous Linear Equations in three variables - GCD and LCM of polynomials - Rational expressions - Square root of polynomials - Quadratic equations - Quadratic Graphs - Matrices

Geometry

Introduction - Similarity - Thales Theorem and Angle Bisector Theorem - Pythagoras Theorem - Circles and Tangents - Concurrency Theorems

Coordinate Geometry

Introduction - Area of a Triangle - Area of a Quadrilateral - Inclination of a Line - Straight Line - General form of a Straight Line

Trigonometry

Introduction - Trigonometric Identities - Heights and Distances

Mensuration

Introduction - Surface Area - Volume - Volume and Surface Area of combined solids - Conversion of solids from one shape to another with no change in volume

Statistics and Probability

Introduction - Measures of Dispersion - Coefficient of Variation - Probability - Algebra of Events - Addition Theorem of Probability

TN StateboardStudy Material - Sample Question Papers with Solutions for Class 10 Session 2019 - 2020

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