### 9th Standard Maths Study material & Free Online Practice Tests - View Model Question Papers with Solutions for Class 9 Session 2019 - 2020 TN Stateboard [ Chapter , Marks , Book Back, Creative & Term Based Questions Papers - Syllabus, Study Materials, MCQ's Practice Tests etc..]

#### 9th Standard Mathematics English Medium All Chapter Book Back and Creative Five Marks Questions 2020 - by Kumar - Pudukottai - 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)

Draw Venn diagram for $A\cap B\cap C$

• 3)

Verify $n\left( A\cup B\cup C \right)$ = n(A) + n(B) +n(C) - $n\left( A\cap B \right) -n\left( B\cap C \right) -n\left( A\cap C \right) -n\left( A\cap C \right) +\left( A\cap B\cap C \right)$ for the following A={1,3,5,6,8} C={1,2,3,6}

• 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)

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

#### 9th Standard Mathematics English Medium All Chapter Book Back and Creative Three Marks Questions 2020 - by Kumar - Pudukottai - View & Read

• 1)

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) $(A\cap B)\cup C$

• 2)

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).

• 3)

If A={2,5,6,7} and B={3,5,7,8}, then verify the commulative property of : union sets

• 4)

If A={2,5,6,7} and B={3,5,7,8}, then verify the commulative property of : intersection of sets

• 5)

Express the following decimal expression into rational numbers. 0.86

#### 9th Standard Mathematics English Medium All Chapter Book Back and Creative Two Marks Questions 2020 - by Kumar - Pudukottai - View & Read

• 1)

Draw a Venn diagram similar to one at the side and shade the region representing the following sets

(A – B)′

• 2)

Find A∪B, A∩B, A–B and B–A for the following sets.
A = Set of all letters in the word “mathematics” and
B = Set of all letters in the word “geometry”

• 3)

In a class of 50 students, each of the students passed either in mathematics or in science or in both. 10 students passed in both and 28 passed in science. Find how many students passed in mathematics only

• 4)

Represent U= {1,2,3,4,5,6,7,8,9,10} A = {1,2,4,6,8,10} and B = {3,6,1,10} in venn-diagram, then find (i) (A UB)' (ii) (A ∩ B)'

• 5)

Without actual division classify the decimal expansion of the following numbers as terminating or non-terminating and ·recurring.
$-{11\over 75}$

#### 9th Standard Mathematics English Medium All Chapter Book Back and Creative One Marks Questions 2020 - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

If U={x:x$\in$N and x<10}, A={1, 2, 3, 5, 8} and B={2, 5, 6, 7, 9}, then $n\{ (A\cup B)'\}$ is

• 3)

Which of the following is true?

• 4)

$n(A\cup B\cup C)$=________

• 5)

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

#### 9th Standard Mathematics All Chapter Important Creative Questions-II-2020 - by Kumar - Pudukottai - View & Read

• 1)

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

In a town 30% like only coffee,20% like only tea,10% like only like,15% like only any two of them,5% only like all the three. What is the percentage of people who like none them.

• 4)

$\left( A\cup B\cup C \right) \cup \left( A\cup BC \right) ^{ ' }$=_______

• 5)

For any three sets,P,Q,R$\left( P\cap Q \right) ^{ ' }$

#### 9th Standard Mathematics Important Creative Questions for all chapters -II- 2019-2020 - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

In a town 30% like only coffee,20% like only tea,10% like only like,15% like only any two of them,5% only like all the three. What is the percentage of people who like none them.

• 3)

If a number has a non-terminating and non-recurring decimal expansion, then it is______________ .

• 4)

$\frac { \sqrt [ 3 ]{ 18 } }{ \sqrt [ 3 ]{ 2 } }$ is same as

• 5)

The GCD of ak, ak+1, ak+5 where, kN

#### 9th Standard Mathematics All Chapter Creative Questions-II-2020 - by Kumar - Pudukottai - View & Read

• 1)

Which of the following is correct?

• 2)

A = {set of odd natural numbers}, B = {set of even natural numbers}, then A and B are ___________

• 3)

Sets having the same number of elements are called ___________

• 4)

The number of elements of the set {x : x ∈ Z, x2 = I} is ________

• 5)

For any three sets A, B and C, (A−B)∩(B −C) is equal to

#### 9th Standard Mathematics All Chapter Important Creative Questions-II-2019-2020 - by Kumar - Pudukottai - View & Read

• 1)

If A∪B = A∩B, then

• 2)

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

• 3)

The set does not have a proper subset is __________

• 4)

$\left[ n\left( A\cup B\cup C \right) ^{ ' } \right]$=_______

• 5)

$n(A\cup B\cup C)$=________

#### 9th Standard Mathematics All Chapter Important Questions-I- 2020 - by Kumar - Pudukottai - View & Read

• 1)

• 2)

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

• 3)

A = {set of odd natural numbers}, B = {set of even natural numbers}, then A and B are ___________

• 4)

The set does not have a proper subset is __________

• 5)

If A,B,C are non-overlapping sets,then n $\left( A\cap B\cap C \right)$ is ___________

#### 9th Standard Mathematics All Chapter Important Creative Questions-I- 2019-2020 - by Kumar - Pudukottai - View & Read

• 1)

Which of the following is correct?

• 2)

The set {x: x ∈ A, x ∈ B, x ∉ A ∩ B} is___________.

• 3)

If n(A U B U C) = 100, n(A) = 4x, n(B) = 6x, n(C) = 5x, n(A ∩ B) = 20, n(B ⋂C) = 15, n(A C) = 25 and n(A ⋂ B ⋂ C) = 10 , then the value of x is

• 4)

If U={x:x$\in$W and x<20},A={2,4,,6,8},B={6,8,12,14} then $\left[ n\left( A\cup B^{ ' } \right) \right]$

• 5)

For any three sets,P,Q,R$\left( P\cap Q \right) ^{ ' }$

#### 9th Standard Mathematics All Chapter Creative Questions-I-2020 - by Kumar - Pudukottai - View & Read

• 1)

The set does not have a proper subset is __________

• 2)

The number of elements of the set {x : x ∈ Z, x2 = I} is ________

• 3)

If A is a proper subset ofB, then A ∩ B = __________

• 4)

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

• 5)

If n(A U B U C) = 100, n(A) = 4x, n(B) = 6x, n(C) = 5x, n(A ∩ B) = 20, n(B ⋂C) = 15, n(A C) = 25 and n(A ⋂ B ⋂ C) = 10 , then the value of x is

#### 9th Standard Mathematics All Chapter Creative Questions-I-2019-2020 - by Kumar - Pudukottai - View & Read

• 1)

If A∪B = A∩B, then

• 2)

The number of elements of the set {x : x ∈ Z, x2 = I} is ________

• 3)

If n(A $\cup$ B $\cup$ C) = 40, n(A) = 30, n(B) = 25, n(C) = 20, n(A$\cap$B) = 12, n(B$\cap$C) = 18 and n(A$\cap$C) = 15 , then n(A$\cap$B$\cap$C) is

• 4)

Which of the following is true?

• 5)

$n(A\cup B\cup C)$=________

#### 9th Standard Mathematics creative test model - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

A = {set of odd natural numbers}, B = {set of even natural numbers}, then A and B are ___________

• 3)

Sets having the same number of elements are called ___________

• 4)

The set of (A U B) - (A ก B) is ____________

• 5)

If n(A $\cup$ B $\cup$ C) = 40, n(A) = 30, n(B) = 25, n(C) = 20, n(A$\cap$B) = 12, n(B$\cap$C) = 18 and n(A$\cap$C) = 15 , then n(A$\cap$B$\cap$C) is

#### 9th Standard Mathematics All Chapter Important Annual Questions-I- 2019-2020 - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

$\left[ n\left( A\cup B\cup C \right) ^{ ' } \right]$=_______

• 3)

$\frac { \sqrt [ 3 ]{ 18 } }{ \sqrt [ 3 ]{ 2 } }$ is same as

• 4)

$\sqrt [ 3 ]{ 192 } +\sqrt [ 3 ]{ 24 }$

• 5)

The value of the polynomial f(x)=6x-3x2+9 when x=-1 is _____________________

#### 9th Standard Mathematics All Chapter Annual Questions-I-2020 - by Kumar - Pudukottai - View & Read

• 1)

• 2)

Sets having the same number of elements are called ___________

• 3)

Which one of the following is an irrational number

• 4)

Rationalising the denominator  $\cfrac { 1 }{ \sqrt [ 3 ]{ 3 } }$

• 5)

The Auto fare is found as minimum rs 25 for 3 kilometer and thereafter rs12 for per kilometer. Which of the following equations represents the relationship between the total cost ‘c’ in rupees and the number of kilometers n?

#### 9th Mathematics Science All Chapter Annual Questions-I-2019-2020 - by Kumar - Pudukottai - View & Read

• 1)

If n(A $\cup$ B $\cup$ C) = 40, n(A) = 30, n(B) = 25, n(C) = 20, n(A$\cap$B) = 12, n(B$\cap$C) = 18 and n(A$\cap$C) = 15 , then n(A$\cap$B$\cap$C) is

• 2)

In a town 30% like only coffee,20% like only tea,10% like only like,15% like only any two of them,5% only like all the three. What is the percentage of people who like none them.

• 3)

The length and breadth of a rectangular plot are 5 x 105 and 4 x 104 metres respectively. Its area is ______

• 4)

In simple form,$\sqrt [ 3 ]{ 54 }$ is ?

• 5)

x3 – x2 is a …………..

#### 9th Standard Mathematics Annual model - by Kumar - Pudukottai - View & Read

• 1)

If B ⊆ A then n(A∩B) is

• 2)

If A is a proper subset ofB, then A ∩ B = __________

• 3)

What is 5.92 x 10-3 written in decimal form?

• 4)

The length of a square is 1.2X103 m. Its area is_______

• 5)

The zero of the polynomial 2x+5 is

#### 9th Standard Maths Annual Exam Model Question Paper IV - 2019 - 2020 - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

If U={x:x$\in$W and x<20},A={2,4,,6,8},B={6,8,12,14} then $\left[ n\left( A\cup B^{ ' } \right) \right]$

• 3)

Which one of the following is an irrational number

• 4)

Which of the following is not an irrational number?

• 5)

The type of the polynomial 4–3x3 is

#### 9th Standard Maths Annual Exam Model Question Paper III - 2019 - 2020 - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

The set (A - B) U(B - A) is ___________

• 3)

The length and breadth of a rectangular plot are 5 x 105 and 4 x 104 metres respectively. Its area is ______

• 4)

Rationalising the denominator  $\cfrac { 1 }{ \sqrt [ 3 ]{ 3 } }$

• 5)

The value of the polynomial f(x)=6x-3x2+9 when x=-1 is _____________________

#### 9th Standard Maths Annual Exam Model Question Paper II - 2019 - 2020 - by Kumar - Pudukottai - View & Read

• 1)

If n(A $\cup$ B $\cup$ C) = 40, n(A) = 30, n(B) = 25, n(C) = 20, n(A$\cap$B) = 12, n(B$\cap$C) = 18 and n(A$\cap$C) = 15 , then n(A$\cap$B$\cap$C) is

• 2)

$\left[ n\left( A\cup B\cup C \right) ^{ ' } \right]$=_______

• 3)

if $\frac { 1 }{ 7 }$ = $0.\bar { 142857 }$ then the value of $\frac { 5 }{ 7 }$

• 4)

$\sqrt [ 4 ]{ 405 } =h\sqrt [ 4 ]{ 5 }$, then h=

• 5)

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

#### 9th Standard Maths Important Questions - by Kumar - Pudukottai - View & Read

• 1)

Let A = {∅} and B = P(A), then A∩B is

• 2)

A = {set of odd natural numbers}, B = {set of even natural numbers}, then A and B are ___________

• 3)

The set (A - B) U(B - A) is ___________

• 4)

• 5)

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

#### 9th Standard Maths Annual Exam Model Question Paper 2019 - 2020 - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

The number of elements of the set {x : x ∈ Z, x2 = I} is ________

• 3)

if $\frac { 1 }{ 7 }$ = $0.\bar { 142857 }$ then the value of $\frac { 5 }{ 7 }$

• 4)

If $\frac { 1 }{ 7 }$= 0.142857, then the value of is______________.

• 5)

The type of the polynomial 4–3x3 is

#### 9th Maths - Full Portion Five Marks Question Paper - by 8682895000 - 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)

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}

• 3)

A soap company interviewed 800 people in a city. It was found out that $\frac{3}{8}$ use brand A soap, $\frac{1}{5}$use brand B soap, 70 use brand A and B soap, 55 use brand B and C soap, 60 use brand A and C soap and $\frac{1}{40}$ use all the three brands Find,
(i) Number of people who use exactly two branded soaps,
(ii) Number of people who use atleast one branded soap,
(iii) Number of people who do not use any one of these brands.

• 4)

Verify $n\left( A\cup B\cup C \right)$ = n(A) + n(B) +n(C) - $n\left( A\cap B \right) -n\left( B\cap C \right) -n\left( A\cap C \right) -n\left( A\cap C \right) +\left( A\cap B\cap C \right)$ for the following A={1,3,5,6,8} C={1,2,3,6}

• 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 Maths - Full Portion Three Marks Question Paper - by 8682895000 - View & Read

• 1)

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

• 2)

In a class there are 40 students. 26 have opted for Mathematics and 24 have opted for Science. How many student have opted for Mathematics and Science.

• 3)

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

• 4)

In a residential area with 600 families $\frac{3}{5}$ owned scooter, $\frac{1}{3}$ owned car, $\frac{1}{4}$ owned bicycle, 120 families owned scooter and car, 86 owned car and bicylce while 90 families owned scooter and bicylce. If $\frac{1}{15}$ of families owned all the three types of vehicles, then find (i) the number of families owned atleast two types of vehicle. (ii) the number of families owned no vehicle.

• 5)

Express the following decimal expression into rational numbers -21.$21\overline {37}$

#### 9th Maths - Full Portion Two Marks Question Paper - by 8682895000 - View & Read

• 1)

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

• 2)

If A = {–3, –2, 1, 4} and B = {0, 1, 2, 4}, find
(i) A – B
(ii) B – A.

• 3)

Draw a Venn diagram similar to one at the side and shade the region representing the following sets

A′

• 4)

List the set of letters of the following words in Roster form.
PARALLELOGRAM

• 5)

Find A∪B, A∩B, A–B and B–A for the following sets.
A = {a, b, c, e, u} and B={a, e, i, o, u}

#### 9th Maths - Real Numbers Model Question Paper - by Kumar - Pudukottai - View & Read

• 1)

Which one of the following has terminating decimal expansion?

• 2)

Irrational number has a________________ .

• 3)

$\sqrt [ 3 ]{ 192 } +\sqrt [ 3 ]{ 24 }$

• 4)

When $\left( 2\sqrt { 3 } -\sqrt { 5 } \right) ^{ 2 }$ is simplified, we get

• 5)

The length of a square is 1.2X103 m. Its area is_______

#### 9th Maths - Geometry Model Question Paper - by Kumar - Pudukottai - View & Read

• 1)

In a parallelogram $\angle{A}:\angle{B}=1:2$ Then ㄥA ............

• 2)

Which of the following is a formula to find the sum of interior angles of a quadrilateral of n-sides?

• 3)

The angle subtend by equal chords of a circle at the centre is________

• 4)

The distance between the longest chord of a circle and the centre is________

• 5)

The perpendicular line from the centre of the circle to the chord divided the chord in the ratio________

#### 9th Maths - Coordinate Geometry Model Question Paper - by Kumar - Pudukottai - View & Read

• 1)

On which quadrant does the point (- 4, 3) lie?

• 2)

A point on the y-axis is ________________

• 3)

The centre of a circle is (0, 0). One end point of a diameter is (5, -1), then ______________

• 4)

The point (0, -3) lies on _______________

• 5)

The diagonal of a square formed by the points (1, 0), (0, 1), (-1, 0) and (0, - 1) is_______________

#### 9th Maths - Statistics Model Question Paper - by Kumar - Pudukottai - View & Read

• 1)

The algebraic sum of the deviations of a set of n values from their mean is

• 2)

The mean of a,b,c,d and e is 28.If the mean of a,c and e,is 24, then mean of b and d is

• 3)

The mean of the first 10 prime number is

• 4)

The mean of the first 10 whole number is

• 5)

Find the mean of the prime factors of 165

#### 9th Maths - Trigonometry Model Question Paper - by Kumar - Pudukottai - View & Read

• 1)

If tan$\theta$ cot370 , then the value of $\theta$ is

• 2)

If 2sin 2$\theta$ = $\sqrt { 3 }$ , them the value of $\theta$ is

• 3)

The value of 2tan30° tan60° is

• 4)

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

• 5)

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

#### 9th Maths - Probability Model Question Paper - by Kumar - Pudukottai - 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 Maths - Algebra Model Question Paper - by Kumar - Pudukottai - View & Read

• 1)

The sum of ${ 5x }^{ 2 };-7x^{ 2 };8x^{ 2 };11x^{ 2 }\quad and\quad -9x^{ 2 }$ is _________________________

• 2)

The area of a rectangle with length $2l^{ 2 }m$ and breadth $3l^{ 2 }m$ is_______________________

• 3)

The value of the polynomial f(x)=6x-3x2+9 when x=-1 is _____________________

• 4)

Divide x3-4x2+6x by "x" the result is _____________________

• 5)

Degree of the .linear polynimial is ________

#### 9th Maths - Mensuration Model Question Paper - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

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

• 3)

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

• 4)

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

• 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 Maths - Set Language Model Question Paper - by Kumar - Pudukottai - View & Read

• 1)

The set {x: x ∈ A, x ∈ B, x ∉ A ∩ B} is___________.

• 2)

The number of elements of the set {x : x ∈ Z, x2 = I} is ________

• 3)

The shaded region in the venn diagram is

• 4)

If A,B,C are non-overlapping sets,then n $\left( A\cap B\cap C \right)$ is ___________

• 5)

For any three sets,P,Q,R$\left( P\cap Q \right) ^{ ' }$

#### 9th Maths Half Yearly Model Question Paper 2019 - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

The set {x: x ∈ A, x ∈ B, x ∉ A ∩ B} is___________.

• 3)

The value of  $0.\bar { 23 } +0.\bar { 22 }$ is

• 4)

if $\frac { 1 }{ 7 }$ = $0.\bar { 142857 }$ then the value of $\frac { 5 }{ 7 }$

• 5)

The product of $2\sqrt { 5 }$ and $6\sqrt { 5 }$ is_______________.

#### 9th Standard Maths - Probability Model Question Paper - by Tessy John - Sriperumbudur - View & Read

• 1)

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

• 2)

The probability of an event cannot be

• 3)

The probability of all possible outcomes of a random experiment is always equal to

• 4)

If A is any event in S then its complement P(A′) is equal to

• 5)

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

#### 9th Standard Maths - Mensuration Model Question Paper - by Tessy John - Sriperumbudur - View & Read

• 1)

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

• 2)

The lateral surface area of a cube of side 12 cm is

• 3)

The total surface area of a cuboid with dimension 10 cm × 6 cm × 5 cm 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 Maths - Term 3 Algebra Five Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

(Graphing made easier!) Draw the graph of the line given by the equation y = 4x – 3.

• 2)

Draw the graph for the following
(i) y = 3x - 1
(ii) $y=\left( \frac { 2 }{ 3 } \right) x+3$

• 3)

Use graphical method to solve the following system of equations x + y = 5; 2x – y = 4.

• 4)

Use graphical method to solve the following system of equations 3x + 2y = 6; 6x + 4y = 8

• 5)

Solve graphically
x + y = 7; x − y = 3

#### 9th Maths - Term 2 Statistics Five Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

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

 Weekly expenditure(Rs) Number of families 0-1000 1000-2000 2000-3000 3000-4000 4000-500 28 46 54 42 30
• 2)

In the class, weight of students is measured for the class records. Caculate mean weight of the students using direct method.

 Weight in kg 15-25 25-35 35-45 45-55 55-65 56-75 No.of students 4 11 19 14 0 2
• 3)

Calculate the mean of the following distribution using Assumed Mean Method

 Class Interval 0-10 10-20 20-30 30-40 40-50 Frequency 5 7 15 28 8
• 4)

Find the Arithmetic Mean of the following data using Step Deviation Method

 Age 15-19 20-24 25-29 30-34 35-39 40-44 No.of persons 4 20 38 24 10 9
• 5)

The following are the scored by the students in the Summative Assessment exam

 Class 0-10 10-20 20-30 30-40 40-50 50-60 No.of students 2 7 15 10 11 5

#### 9th Maths - Term 2 Geometry Five Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

Find the length of a chord which is at a distance of 2 $\sqrt{11}$ confrom the centre of a circle of radius 12cm

• 2)

In the concentric circles, chord AB of the outer circle cuts the inner circle at C and D as shown in the diagram. Prove that, AB−CD=2AC

• 3)

Find the value of x° in the following figures:

• 4)

Find the value of x° in the following figures:

• 5)

If PQRS is a cyclic quadrilateral in which ㄥPSR=70° and ㄥQPR = 40°, then find ㄥPRQ.

#### 9th Maths - Term 2 Algebra Five Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

Evaluate the following by using identities:
(i) 983
(ii) 1033
(iii) 993
(iv) 10013

• 2)

Simplify: $\left[ \frac { ({ x }^{ 2 }-{ y }^{ 2 })^{ 3 }+({ y }^{ 2 }-{ z }^{ 2 })^{ 3 }+({ z }^{ 2 }-{ x }^{ 2 })^{ 3 } }{ (x-y)^{ 3 }+(y-z)^{ 3 }+(z-x)^{ 3 } } \right]$ by using identity

• 3)

If a = 4, b = 5 and c = 6 , then find the value of $\left[ \frac { (ab+bc+ca-{ a }^{ 2 }-{ b }^{ 2 }-{ c }^{ 2 }) }{ (3abc-{ a }^{ 3 }-{ b }^{ 3 }-{ c }^{ 3 }) } \right]$.

• 4)

Factorise 2x2-15x+27

• 5)

Factorise 2x2 + 15x - 27

#### 9th Maths - Term 2 Real Numbers Five Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

Find the 5th root of 32

• 2)

Find the 5th root of 243.

• 3)

Find the 5th root of 100000

• 4)

Find the 5th root of $\frac{1024}{3125}$

• 5)

Simplify the following using addition and subtraction properties of surds:
(i) 5$\sqrt{3}$+18$\sqrt{3}$-2$\sqrt{3}$
(ii) $4\sqrt [ 3 ]{ 5 } +2\sqrt [ 3 ]{ 5 } -3\sqrt [ 3 ]{ 5 }$
(iii) 3$\sqrt{75}$+5$\sqrt{48}$-$\sqrt{243}$
(iv) $5\sqrt [ 3 ]{ 40 } +2\sqrt [ 3 ]{ 625 } -3\sqrt [ 3 ]{ 320 }$

#### 9th Maths - Trigonometry Model Question Paper - by Tessy John - Sriperumbudur - View & Read

• 1)

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

• 2)

If tan$\theta$ cot370 , then the value of $\theta$ is

• 3)

The value of tan72°.tan18° is

• 4)

The value of $\frac { tan15° }{ cot75° }$ is

• 5)

if sin $\alpha$ = $\frac { 1 }{ 2 }$ and $\alpha$ is a cute, then (3 cos$\alpha$ - 4cos3 $\alpha$) is equal to

#### 9th Standard Maths - Coordinate Geometry Model Question Paper - by Tessy John - Sriperumbudur - View & Read

• 1)

The coordinates of the point C dividing the line segment joining the points P(2,4) and Q(5,7) internally in the ratio 2:1 is

• 2)

In what ratio does the point Q(1,6) divide the line segment joining the points P(2,7) and R(−2,3)

• 3)

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

• 4)

If the coordinates of the mid-points of the sides AB, BC and CA of a triangle are (3,4), (1,1) and (2,−3) respectively, then the vertices A and B of the triangle are

• 5)

In what ratio does the y-axis divides the line joining the points (−5,1) and (2,3) internally

#### 9th Standard Maths - Term 2 Set Language Five Marks Questions - by Kumar - Pudukottai - 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 Maths - Algebra Model Question Paper - by Tessy John - Sriperumbudur - View & Read

• 1)

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

• 2)

Which of the following is a solution of the equation 2x − y = 6

• 3)

Which condition does not satisfy the linear equation ax + by + c = 0

• 4)

The value of k for which the pair of linear equations 4x + 6y −1 = 0 and 2x + ky − 7 = 0 represents parallel lines is

• 5)

If $\frac { { a }_{ 1 } }{ { a }_{ 2 } } =\frac { { b }_{ 1 } }{ { b }_{ 2 } } \neq \frac { { c }_{ 1 } }{ { c }_{ 2 } }$ where a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 then the given pair of linear equation has __________ solution(s)

#### 9th Standard Maths - Statistics Model Question Paper - by Tessy John - Sriperumbudur - View & Read

• 1)

Data available in an unorganized form is called ------------- data

• 2)

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

• 3)

The algebraic sum of the deviations of a set of n values from their mean is

• 4)

The mean of 5, 9, x, 17, and 21 is 13, then find the value of x

• 5)

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

#### 9th Maths - Term 1 Coordinate Geometry 5 Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

Show that the points A(7,10), B(-2,5), C(3,-4) are the vertices of a right angled triangle.

• 2)

Prove that the points A(3, 5), B(6, 2), C(3,-1), and D(0, 2) taken in order are the vertices of a square.

• 3)

Let A(2, 2), B(8, –4) be two given points in a plane. If a point P lies on the X- axis (in positive side), and divides AB in the ratio 1: 2, then find the coordinates of P.

• 4)

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

• 5)

Find the value of ‘a’ such that PQ = QR where P, Q, and R are the points whose coordinates are (6, –1), (1, 3) and (a, 8) respectively

#### 9th Maths - Term 1 Geometry 5 Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

ΔABC and ΔDEF are two triangles in which AB=DF, ∠ACB=70°, ∠ABC=60°; ∠DEF=70° and ∠EDF=60°. Prove that the triangles are congruent.

• 2)

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

• 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)

Show that the bisectors of angles of a parallelogram form a rectangle.

• 5)

Diagonal AC of a parallelogram ABCD bisects ㄥA. Show that
(i) it bisects ㄥC also (ii) ABCD is a rhombus.

#### 9th Maths - Term 1 Algebra Five Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

The cost of a chocolate is Rs. (x + y) and Amir bought (x + y) chocolates. Find the total amount paid by him in terms of x and y. If x =10, y =5 find the amount paid by him.

• 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)

If two polynomials 2x3 + ax2 + 4x – 12 and x3 + x2 –2x+ a leave the same remainder when divided by (x – 3), find the value of a and also find the remainder.

• 4)

If the polynomials f(x) = ax3 + 4x2 + 3x –4 and g(x) = x3 – 4x + a leave the same remainder when divided by x–3, find the value of a. Also find the remainder.

• 5)

Classify the following polynomials.

S.No Polynomial Based on number of terms Based on their degree
1 $\frac { { x }^{ 2 } }{ \sqrt { 2 } } +x+1$
2 $\sqrt { 5 } { x }^{ 2 }-\frac { 6 }{ 5 } x$
3 1
4 ${ m }^{ 4 }-\frac { 6 }{ 7 } { m }^{ 2 }-6m+2.7$
5 $\frac { { t }^{ 3 } }{ \sqrt { 6 } } +\frac { { t }^{ 4 } }{ 4 } -t$

#### 9th Maths - Term 1 Real Numbers Five Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

Represent the following irrational numbers on the number line $\sqrt { 4.7 }$

• 3)

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

• 4)

Represent 4.863 on the number line.

• 5)

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

#### 9th Standard Maths - Geometry Model Question Paper - by Tessy John - Sriperumbudur - View & Read

• 1)

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

• 2)

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

• 3)

In the figure, PQRS and PTVS are two cyclic quadrilaterals, If ㄥQR = 80°, then ㄥTVS=

• 4)

If one angle of a cyclic quadrilateral is 75° , then the opposite angle is

• 5)

AD is a diameter of a circle and AB is a chord If AD = 30 cm and AB = 24cm then the distance of AB from the centre of the circle is

#### 9th Maths - Algebra Model Question Paper - by Tessy John - Sriperumbudur - View & Read

• 1)

If p(a)= 0 then (x-a) is a ___________ of p(x)

• 2)

Zeros of (2-3x) is ___________

• 3)

If x - 3 is a factor of p(x), then the remainder is

• 4)

In an expression ax2+bx c the sum and product of the factors respectively,

• 5)

Cubic polynomial may have maximum of ___________ linear factors

#### 9th Standard Maths - Real Numbers Model Question Paper - by Tessy John - Sriperumbudur - View & Read

• 1)

If n is a natural number then $\sqrt { n }$ is

• 2)

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

• 3)

The number $0.\bar { 3 }$ in the form $\frac { p }{ q }$ where p and q are integers and $q\neq 0$

• 4)

$0.\overline { 34 } +0.3\bar { 4 }$ =

• 5)

Which one of the following has terminating decimal expansion?

#### 9th Standard Maths - Set Language Model Question Paper - by Tessy John - Sriperumbudur - View & Read

• 1)

If U={x:x$\in$N and x<10}, A={1, 2, 3, 5, 8} and B={2, 5, 6, 7, 9}, then $n\{ (A\cup B)'\}$ is

• 2)

Which of the following is true?

• 3)

If n(A U B U C) = 100, n(A) = 4x, n(B) = 6x, n(C) = 5x, n(A ∩ B) = 20, n(B ⋂C) = 15, n(A C) = 25 and n(A ⋂ B ⋂ C) = 10 , then the value of x is

• 4)

If A and B are two non-empty sets, then (A-B)U(A⋂B) is

• 5)

For any three A,B and C,$A-\left( B\cup C \right)$

#### 9th Maths Term 3 Probability Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

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?

• 3)

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

• 4)

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.

• 5)

If a probability of a player winning a particular tennis match is 0.72. What is the probability of the player loosing the match?

#### 9th Maths - Term 3 Mensuration Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

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.

• 2)

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

• 3)

A park is in the shape of a quadrilateral. The sides of the park are 15 m, 20 m, 26 m and 17 m and the angle between the first two sides is a right angle. Find the area of the park.

• 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)

Find the volume of a cube each of whose side is (i) 5 cm (ii) 3.5 m (iii) 21 cm

#### 9th Maths - Term 3 Trigonometry Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

From the given figure, find the values of  (i) sinB (ii) secB (iii) cot B  (iv) cosC (v) tanC (vi) cosecC

• 3)

If cos A = $\frac { 2x }{ 1+{ x }^{ 2 } }$ then find the values of sinA and tanA in terms of x.

• 4)

If sin $\theta$  = $\frac { a }{ \sqrt { { a }^{ 2 }+{ b }^{ 2 } } }$ then show that b sin $\theta$ = a cos $\theta$

• 5)

Verify cos3A = 4cos3 A - 3cosA , when A = 300

#### 9th Maths - Term 3 Coordinate Geometry Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

If the mid-point (x,y) of the line joining (3,4) and (p,7) lies on 2x + 2y +1 = 0 , then what will be the value of p?

• 2)

The mid-point of the sides of a triangle are (2,4), (−2,3) and (5,2). Find the coordinates of the vertices of the triangle.

• 3)

A(−3,2) , B(3,2) and C(−3,−2) are the vertices of the right triangle, right angled at A. Show that the mid-point of the hypotenuse is equidistant from the vertices.

• 4)

Show that the line segment joining the mid-points of two sides of a triangle is half of the third side
(Hint: Place triangle ABC in a clever way such that A is (0,0), B is (2a,0) and C to be (2b,2c). Now consider the line segment joining the mid-points of AC and BC. This will make calculations simpler).

• 5)

The vertices of a triangle are (1,2), (h,−3) and (−4,k). If the centroid of the triangle is at the point (5,−1) then find the value of $\sqrt { { (h+k) }^{ 2 }+{ (h+3) }^{ 2 } }$

#### 9th Maths - Term 3 Algebra Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

Give any two examples for linear equations in one variable.

• 2)

Two cars are 100 miles apart. If they drive towards each other they will meet in 1 hour. If they drive in the same direction they will meet in 2 hours. Find their speed by using graphical method.

• 3)

Raman’s age is three times the sum of the ages of his two sons. After 5 years his age will be twice the sum of the ages of his two sons. Find the age of Raman.

• 4)

Five years ago, a man was seven times as old as his son, while five year hence, the man will be four times as old as his son. Find their present age.

• 5)

Akshaya has 2 rupee coins and 5 rupee coins in her purse. If in all she has 80 coins totalling Rs 220, how many coins of each kind does she have.

#### 9th Maths - Term 2 - Statistics Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

In a rice mill, seven labours are receiving the daily wages of Rs.500, Rs.600, Rs.600, Rs.800, Rs.800, Rs.800 and Rs.1000, find the modal wage

• 2)

Find the mode for the set of values 17, 18, 20, 20, 21, 21, 22, 22.

• 3)

A set of numbers consists of five 4’s, four 5’s, nine 6’s,and six 9’s. What is the mode.

• 4)

In a week, temperature of a certain place is measured during winter are as follows 260C,240C,280C,310C,260C.Find the mean temperatureof the week.

• 5)

The mean weight of 4 members of a family is 60 kg. Three of them have the weight 56kg,68kg and 72 kg respectively. Find the weight of the fourth member.

#### 9th Maths - Term 2 - Geometry Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

The radius of the circle is 25cm and the length of one of its chord is 40cm. Find the distance of the chord from the centre

• 2)

The chord of length 30 cm is drawn at the distance of 8cm from the centre of the circle. Find the radius of the circle

• 3)

In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords?

• 4)

In the given figure, AC is the diameter of the circle with centre O. If ㄥADE=30°; ㄥDAC=35° and ㄥCAB=40°. Find
(i) ㄥACD (ii) ㄥACB (iii) ㄥDAE

• 5)

Find all the angles of the given cyclic quadrilateral ABCD in the figure.

#### 9th Maths Term 2 - Algebra Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

Expand the following using identities: (5x+4y)(5x-4y)

• 2)

Expand (a-b+c)2

• 3)

Expand (2x+3y+4z)2

• 4)

Find the product of (2x+3y+4z)(4x2+9y2+16z2-6xy-12yz-8zx)

• 5)

Evaluate 103-153+53

#### 9th Standard Maths Term 2 - Real Numbers Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

Use a fractional index to write: $\sqrt{5}$

• 2)

Use a fractional index to write: $\left( \sqrt [ 3 ]{ 49 } \right) ^{ 5 }$

• 3)

Use a fractional index to write: $\left( \frac { 1 }{ \sqrt [ 3 ]{ 100 } } \right) ^{ 7 }$

• 4)

Given $\sqrt{2}$=1.414, find the value of $\frac { 8-5\sqrt { 2 } }{ 3-2\sqrt { 2 } }$  (to 3 places of decimals).

• 5)

Simplify: (8.41 x 104) ÷ (4.3 x 105)

#### 9th Maths - Term 2 - Set Language Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

If A = {2, 3, 4, 5}, B = {2, 3, 5, 7} and C = {1, 3, 5}, then verify $A\cup (B\cup C)=(A\cup B)\cup C$.

• 2)

If A=$\left\{ -\frac { 1 }{ 2 } ,0,\frac { 1 }{ 4 } ,\frac { 3 }{ 4 } ,2 \right\}$, B=$\left\{ 0,\frac { 1 }{ 4 } ,\frac { 3 }{ 4 } ,2,\frac { 5 }{ 2 } \right\}$ and C=$\left\{ -\frac { 1 }{ 2 } .\frac { 1 }{ 4 } ,1,2,\frac { 5 }{ 2 } \right\}$, then verify $A\cap (B\cap C)=(A\cap B)\cap C$ .

• 3)

If P = {1,2,5,7,9}, Q = {2, 3, 5, 9, 11}, R = {3, 4,5 7, 9} and S = {2, 3, 4, 5, 8}, then find
(i) $(P\cup Q)\cup R$
(ii) $(P\cap Q)\cap S$
(iii) $(Q\cap S)\cap R$

• 4)

Test for the commutative property of union and intersection of the sets
P = { x:x is a real number between 2 and 7} and
Q = { x:x is an irrational number between 2 and 7}.

• 5)

If A = {p,q,r,s}, B = {m,n,q,s,t} and C = {m,n,p,q,s}, then verify the associative property of union of sets.

#### 9th Maths - Coordinate Geometry Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

In which quadrant does the following points lie?(–1,–3)

• 3)

In which quadrant does the following points lie?(2, 5)

• 4)

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

• 5)

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)

#### 9th Maths - Term 1 Model Question Paper - by Tessy John - Sriperumbudur - View & Read

• 1)

If A∪B = A∩B, then

• 2)

Which one of the following has a terminating decimal expansion?

• 3)

The zero of the polynomial 2x+5 is

• 4)

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

• 5)

If ( x+2, 4) = (5, y–2), then the coordinates (x,y) are _____

#### 9th Maths - Geometry Two Marks Question - by Kumar - Pudukottai - View & Read

• 1)

Find the value of x

• 2)

Find the value of x

• 3)

Draw the circumcircle for, An equilateral triangle of side 7 cm.

• 4)

Draw the circumcircle for, An isosceles right triangle having 6 cm as the length of the equal sides.

• 5)

#### 9th Maths - Algebra Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

Find the Zeros of the following polynomials. f(x) = 3x – 5

• 2)

Find the roots of the following polynomial equations: 5x – 3 = 0

• 3)

Find the zeros of the polynomial in each of the following: p(x) = 2x+5.

• 4)

Find the zeros of the polynomial in each of the following: q(y) = 2y-3.

• 5)

Find the roots of the polynomial equations: 9x – 4 = 0

#### 9th Maths Chapter 2 Real Numbers Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

Express the following in the form  ${p\over q},$  where p and q are integers and q $\ne$ 0.
$0.2\overline{45}$

• 2)

Without actual division classify the decimal expansion of the following numbers as terminating or non-terminating and ·recurring.
${17\over 200}$

• 3)

Express the following in the form 3n: 243

• 4)

Use a fractional index to write $\left( 5\sqrt { 125 } \right) ^{ 7 }$

• 5)

Express the surds in the simple form $\sqrt { 27 }$

#### 9th Maths Unit 1 Set Language Two Marks Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

Find the number of subsets and the number of proper subsets of a set X={a, b, c, x, y, z}.

• 3)

If U = {c, d, e, f, g, h, i, j} and A = { c, d, g, j} , find A′.

• 4)

Represent A Δ B through Venn diagram.

• 5)

Verify whether A = {20, 22, 23, 24} and B = {25, 30, 40, 45} are disjoint sets.

#### 9th Maths - Term 1 Five Mark Model Question Paper - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

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.

• 3)

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

• 4)

The cost of a chocolate is Rs. (x + y) and Amir bought (x + y) chocolates. Find the total amount paid by him in terms of x and y. If x =10, y =5 find the amount paid by him.

• 5)

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

#### 9th Maths Term 3 Probability Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

A random experiment contains

• 3)

The probability of all possible outcomes of a random experiment is always equal to

• 4)

If A is any event in S then its complement P(A′) is equal to

• 5)

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

#### 9th Standard Maths Term 3 Mensuration Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

The lateral surface area of a cube of side 12 cm is

• 3)

If the lateral surface area of a cube is 600 cm2, then the total surface area is

• 4)

The volume of a cuboid is 660 cm3 and the area of the base is 33 cm2. Its height 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 Maths Term 3 Trigonometry Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

The value of 2tan30° tan60° is

• 3)

The value of tan1°.tan2°.tan3°...tan89° 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 Maths Term 3 Coordinate Geometry Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

The coordinates of the point C dividing the line segment joining the points P(2,4) and Q(5,7) internally in the ratio 2:1 is

• 2)

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

• 3)

In what ratio does the y-axis divides the line joining the points (−5,1) and (2,3) internally

• 4)

If (1,−2), (3,6), (x,10) and (3,2) are the vertices of the parallelogram taken in order, then the value of x is

• 5)

The centroid of the triangle with vertices (−1,−6), (−2,12) and (9,3) is

#### 9th Maths Term 3 Algebra Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

Find the value of m from the equation 2x + 3y = m. If its one solution is x = 2 and y = −2 .

• 3)

The value of k for which the pair of linear equations 4x + 6y −1 = 0 and 2x + ky − 7 = 0 represents parallel lines is

• 4)

A pair of linear equations has no solution then the graphical representation is

• 5)

If $\frac { { a }_{ 1 } }{ { a }_{ 2 } } =\frac { { b }_{ 1 } }{ { b }_{ 2 } } \neq \frac { { c }_{ 1 } }{ { c }_{ 2 } }$ where a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 then the given pair of linear equation has __________ solution(s)

#### 9th Maths - Statistics Book Back Questions - by Kumar - Pudukottai - 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)

The algebraic sum of the deviations of a set of n values from their mean is

• 4)

If the mean of five observations x, x+2, x+4, x+6, x+8, is 11, then the mean of first three observations is

• 5)

Find the mode for the set of values 17, 18, 20, 20, 21, 21, 22, 22.

#### 9th Maths - Term 2 Geometry Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

In the figure, PQRS and PTVS are two cyclic quadrilaterals, If ㄥQR = 80°, then ㄥTVS=

• 3)

If one angle of a cyclic quadrilateral is 75° , then the opposite angle is

• 4)

AD is a diameter of a circle and AB is a chord If AD = 30 cm and AB = 24cm then the distance of AB from the centre of the circle is

• 5)

Distance from the centre to any point on the circumference of the circle is called ____

#### 9th Maths - Term 2 Algebra Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

If p(a)= 0 then (x-a) is a ___________ of p(x)

• 2)

Which of the following has x -1 as a factor?

• 3)

If x - 3 is a factor of p(x), then the remainder is

• 4)

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

• 5)

Cubic polynomial may have maximum of ___________ linear factors

#### 9th Standard Maths - Term 2 Real Numbers Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

Which of the following statement is false?

• 2)

$\left( 0.000729 \right) ^{ \frac { -3 }{ 4 } }\times \left( 0.09 \right) ^{ \frac { -3 }{ 4 } }$ = ______

• 3)

Which is the best example of a number written in scientific notation?

• 4)

What is 5.92 x 10-3 written in decimal form?

• 5)

The length and breadth of a rectangular plot are 5 x 105 and 4 x 104 metres respectively. Its area is ______

#### 9th Standard Maths Unit 6 Set Language Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

If U={x:x$\in$N and x<10}, A={1, 2, 3, 5, 8} and B={2, 5, 6, 7, 9}, then $n\{ (A\cup B)'\}$ is

• 2)

Which of the following is true?

• 3)

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

• 4)

If A and B are two non-empty sets, then (A-B)U(A⋂B) is

• 5)

In a city, 40% people like only one fruit, 35% people like only two fruits, 20% people like all the three fruits. How many percentage of people do not like any one of the above three fruits?

#### 9th Standard Maths - Coordinate Geometry Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

The point M lies in the IV quadrant. The coordinates of M is _______

• 3)

On plotting the points O(0,0), A(3, – 4), B(3, 4) and C(0, 4) and joining OA, AB, BC and CO, which of the following figure is obtained?

• 4)

If P( –1,1), Q( 3,–4), R( 1, –1), S(–2, –3) and T( –4, 4) are plotted on a graph paper, then the points in the fourth quadrant are

• 5)

The point whose ordinate is 4 and which lies on the y-axis is............

#### 9th Standard Maths - Algebra Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

The type of the polynomial 4–3x3 is

• 3)

The sum of the polynomials p(x) = x3 – x2 – 2, q(x) = x2–3x+ 1

• 4)

The remainder when p(x) = x3 – ax2 + 6x – a is divided by (x – a) is

• 5)

Degree of the polynomial (y3–2)(y3 + 1) is

#### 9th Standard Maths Unit 4 Geometry Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

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

• 3)

If the diagonal of a rhombus are equal, then the rhombus is a

• 4)

The interior angle made by the side in a parallelogram is 90° then the parallelogram is a

• 5)

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

#### 9th Standard Maths Unit 2 Real Numbers Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

If n is a natural number then $\sqrt { n }$ is

• 2)

An irrational number between 2 and 2.5 is

• 3)

The number $0.\bar { 3 }$ in the form $\frac { p }{ q }$ where p and q are integers and $q\neq 0$

• 4)

The value of  $0.\bar { 23 } +0.\bar { 22 }$ is

• 5)

Find the odd one out of the following

#### 9th Standard Maths Unit 1 Set Language Book Back Questions - by Kumar - Pudukottai - View & Read

• 1)

If B ⊆ A then n(A∩B) is

• 2)

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

• 3)

If B – A is B, then A∩B is

• 4)

Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
3$\in$ ______

• 5)

Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
14$\in$ _______

#### 9th Standard Maths - Geometry One Mark Question with Answer Key - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

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

• 3)

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

• 4)

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

• 5)

In the figure, O is the centre of a circle and diameter AB bisects the chord CD at a point E such that CE=ED=8 cm and EB=4cm. The radius of the circle is

#### 9th Standard Maths - Algebra One Mark Question and Answer - by Kumar - Pudukottai - View & Read

• 1)

If p(a)= 0 then (x-a) is a ___________ of p(x)

• 2)

Zeros of (2-3x) is ___________

• 3)

Which of the following has x -1 as a factor?

• 4)

If x - 3 is a factor of p(x), then the remainder is

• 5)

(x+y)(x2−xy+y2) is equal to

#### 9th Maths - Real Numbers One Mark Question with Answer - by Kumar - Pudukottai - View & Read

• 1)

If n is a natural number then $\sqrt { n }$ is

• 2)

Which of the following is not true?

• 3)

Irrational number has a________________ .

• 4)

If $\frac { 1 }{ 7 }$= 0.142857, then the value of is______________.

• 5)

Which of the following are not rational numbers?

#### 9th Maths Chapter 4 Geometry One Mark Question and Answer - by Kumar - Pudukottai - 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)

If the diagonal of a rhombus are equal, then the rhombus is a

• 4)

What is the name of a regular polygon of six sides?

• 5)

One angle of a parallelogram is a right angle. The name of the quadrilateral is ______

#### 9th Standard Maths Unit 5 Coordinate Geometry One Mark Question and Answer - by Kumar - Pudukottai - 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)

On which quadrant does the point (- 4, 3) lie?

• 4)

The point whose abscissa is 5 and lies on the x-axis is__________

• 5)

A point which lies in the III quadrant is__________________

#### 9th Maths Unit 1 Set Language One Mark Question Paper with Answer - by Kumar - Pudukottai - View & Read

• 1)

If U={x:x$\in$N and x<10}, A={1, 2, 3, 5, 8} and B={2, 5, 6, 7, 9}, then $n\{ (A\cup B)'\}$ is

• 2)

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

• 3)

For any three sets A, B and C, (A−B)∩(B −C) is equal to

• 4)

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

• 5)

If A and B are two non-empty sets, then (A-B)U(A⋂B) is

#### 9th Standard Maths Unit 3 Algebra - One Mark Question and Answer - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

The sum of the polynomials p(x) = x3 – x2 – 2, q(x) = x2–3x+ 1

• 3)

The product of the polynomials p(x) = 4x –3 q(x) = 4x + 3

• 4)

The remainder when p(x) = x3 – ax2 + 6x – a is divided by (x – a) is

• 5)

Degree of the polynomial (y3–2)(y3 + 1) is

#### 9th Maths Unit 2 Real Numbers One Mark Question Paper - by Kumar - Pudukottai - 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 Maths Set Language One Mark Question Paper - by Kumar - Pudukottai - View & Read

• 1)

Which of the following is correct?

• 2)

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

• 3)

If B – A is B, then A∩B is

• 4)

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

• 5)

The set does not have a proper subset is __________

#### 10th Maths Term 2 Set Language Model Question Paper - by Kumar - Pudukottai - View & Read

• 1)

If U={x:x$\in$N and x<10}, A={1, 2, 3, 5, 8} and B={2, 5, 6, 7, 9}, then $n\{ (A\cup B)'\}$ is

• 2)

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

• 3)

If A,B,C are non-overlapping sets,then n $\left( A\cap B\cap C \right)$ is ___________

• 4)

$\left( A\cup B\cup C \right) \cup \left( A\cup BC \right) ^{ ' }$=_______

• 5)

$n(A\cup B\cup C)$=________

#### 9th Standard Maths Term 1 Model Question Paper 2 - by Kumar - Pudukottai - View & Read

• 1)

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

• 2)

If B – A is B, then A∩B is

• 3)

Which one of the following is an irrational number

• 4)

x3 – x2 is a …………..

• 5)

Degree of the polynomial (y3–2)(y3 + 1) is

#### 9th Standard Maths Term 1 Model Question Paper - by Kumar - Pudukottai - View & Read

• 1)

Which of the following is correct?

• 2)

If B – A is B, then A∩B is

• 3)

An irrational number between 2 and 2.5 is

• 4)

x3 – x2 is a …………..

• 5)

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

#### 9th Standard Maths Term 1 Five Marks Model Question Paper - by Kumar - Pudukottai - View & Read

• 1)

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.

• 2)

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.

• 3)

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

• 4)

Express$\frac { 1 }{ 13 }$ in decimal form. Find the length of the period of decimals

• 5)

Classify the numbers as rational or irrational
(i) $\sqrt { 10 }$
(ii) $\sqrt { 49 }$
(iii) 0.025
(iv) $0.7\overline { 6 }$
(v) 2.505500555...
(vi) $\frac { \sqrt { 2 } }{ 2 }$

### TN Stateboard Education Study Materials

#### 9th Stateboard Maths 2019 - 2020 Academic Monthly Syllabus - by Kumar - Pudukottai Aug 13, 2019 Aug 13, 2019

Maths 2019 - 2020 Academic Monthly Syllabus

### TN Stateboard Updated Class 9th Maths Syllabus

#### Set Language

Introduction-Set-Representation of a Set-Types of Sets-Set Operations-Cardinality and Practical Problems on Set Operations

#### கண மொழி

அறிமுகம்–கணம்–கணத்தைக் குறிப்பிடும் முறைகள்–கணங்களின் வகைகள்–கணச் செயல்பாடுகள்–கணங்களின் ஆதி எண் மற்றும் செய்முறை கணக்குகள்

#### Real Numbers

Introduction-Rational Numbers-Irrational Numbers-Real Numbers

#### மெய்யெண்கள்

அறிமுகம்–விகிதமுறு எண்கள்–விகிதமுறா எண்கள்–மெய்யெண்கள்

#### Algebra

Introduction-Polynomials-Arithmetic of Polynomials-Value and Zeros of A Polynomial-Division of Polynomials-Remainder Theorem

#### Coordinate Geometry

Mapping the Plane-Devising a Coordinate system-Distance between any two points

#### இயற்கணிதம்

அறிமுகம்–பல்லுறுப்புக் கோவைகள்–பல்லுறுப்புக் கோவைகளின் செயல்பாடுகள்–பல்லுறுப்புக் கோவையின் மதிப்பு மற்றும் பூச்சியங்கள்–பல்லுறுப்புக் கோவைகளின் வகுத்தல்–மீதித் தேற்றம்

#### வடிவியல்

அறிமுகம்–அடிப்படை வடிவியல் கருத்துகள் – மீள்பார்வை–நாற்கரங்கள்–செய்முறை வடிவியல்

#### ஆயத்தொலை வடிவியல்

தளத்தினை வரைபடமாகக் குறித்தல்–ஆயத்தொலைவைக் கண்டறிதல்–இரு புள்ளிகளுக்கு இடைப்பட்ட தொலைவு

#### TN StateboardStudy Material - Sample Question Papers with Solutions for Class 9 Session 2019 - 2020

Latest Sample Question Papers & Study Material for class 9 session 2019 - 2020 for Subjects Science , Social Science in PDF form to free download [ available question papers ] for practice. Download QB365 Free Mobile app & get practice question papers.

More than 1000+ TN Stateboard Syllabus Sample Question Papers & Study Material are based on actual Board question papers which help students to get an idea about the type of questions that will be asked in Class 9 Final Board Public examinations. All the Sample Papers are adhere to TN Stateboard guidelines and its marking scheme , Question Papers & Study Material are prepared and posted by our faculty experts , teachers , tuition teachers from various schools in Tamilnadu.

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