### 10th Standard EM Maths Study material & Free Online Practice Tests - View Model Question Papers with Solutions for Class 10 Session 2019 - 2020 TN Stateboard [ Chapter , Marks , Book Back, Creative & Term Based Questions Papers - Syllabus, Study Materials, MCQ's Practice Tests etc..]

#### 10th Standard Maths English Medium Model Question Paper Part - V - by Indumathi - Namakkal - View & Read

• 1)

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..

• 2)

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

• 3)

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

• 4)

How many terms are there in the G.P::5,20,80,320,...,20480:

• 5)

Graph of a linear polynomial is a

#### 10th Standard Maths English Medium Model Question Paper Part - IV - by Indumathi - Namakkal - View & Read

• 1)

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..

• 2)

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

• 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 first n terms of the series a,3a,5a...is :

• 5)

Find the matrix X if 2X + $\left( \begin{matrix} 1 & 3 \\ 5 & 7 \end{matrix} \right) =\left( \begin{matrix} 5 & 7 \\ 9 & 5 \end{matrix} \right)$

#### 10th Standard Maths English Medium Model Question Paper Part - III - by Indumathi - Namakkal - View & Read

• 1)

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

• 2)

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

• 3)

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

• 4)

If pth,qth and rth terms of an A.P.are a,bc respestively, then(a(q-r)+b(r-p)+c(p-q)is:

• 5)

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

#### 10th Standard Maths English Medium Model Question Paper Part - II - 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)

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

• 4)

Sum of first n terms of the series $\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +...$ is

• 5)

The number of points of intersection of the quadratic polynomial x2 + 4x + 4 with the X axis is

#### 10th Standard Maths English Medium Important 8 Marks Questions - by Indumathi - Namakkal - View & Read

• 1)

Draw the graph of y = x2 + 4x + 3 and hence find the roots of x2 + x + 1 = 0

• 2)

Graph the following quadratic equations and state their nature of solutions.
x2 - 9x + 20 = 0

• 3)

Draw the graph of y = x2 - 4 and hence solve x2 - x - 12 = 0

• 4)

Draw the graph of y = x2 - 4 and hence solve x2 + 1 = 0

• 5)

Draw the graph of y = 2x2 - 3x - 5 and hence solve 2x2 - 4x - 6 = 0

#### 10th Standard Maths English Medium Creative Important 5 Marks Questions - by Indumathi - Namakkal - View & Read

• 1)

A functionf: [-7,6) $\rightarrow$ R is defined as follows.

find 2f(-4) + 3f(2)

• 2)

A functionf: [-7,6) $\rightarrow$ R is defined as follows.

f(-7) -f(-3)

• 3)

f(x) = (1+ x)
g(x) = (2x-1)
Show that fo(g(x)) = gof(x)

• 4)

A functionf: (1,6) $\rightarrow$R is defined as follows:

Find the value of f(5),

• 5)

If R = {(a, -2), (-5, b), (8, c), (d, -1)} represents the identity function, find the values of a, b, c and

#### 10th Standard Maths English Medium Book back Important 5 Marks Questions  - by Indumathi - Namakkal - View & Read

• 1)

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)

• 2)

Given A={1,2,3}, B = {2,3,5}, C = {3,4} and D = {1,3,5}, check if (A ∩ C) x (B ∩ D) =(A x B) ∩ (C x D) is true?

• 3)

Forensic scientists can determine the height (in cms) of a person based on the length of their thigh bone. They usually do so using the function h(b)=2.47b+54.10 where b is the length of the thigh bone.
(i) Check if the function h is one – one
(ii) Also find the height of a person if the length of his thigh bone is 50 cms.
(iii) Find the length of the thigh bone if the height of a person is 14796 cms.

• 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)

Find the domain of the function f(x) = $\sqrt { 1+\sqrt { 1-\sqrt { 1-x^{ 2 } } } }$.

#### 10th Standard Maths English Medium Book back Important 2 Marks Questions - 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?
R1={(3,7), (4,7), (7,10), (8,1)}

• 2)

Let f{(x,y)| x,y$\in$ N and y=2x}. be a relation on ℕ. Find the domain, co-domain and range. Is this relation a function?

• 3)

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

• 4)

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

• 5)

Find the value of k, such that f o g = g o f
(i) f(x) =x+2, g(x)=6x-k

#### 10th Standard Maths English Medium Creative Important 2 Marks Questions - by Indumathi - Namakkal - View & Read

• 1)

LetA= {1,2, 3, 4} and B = {-1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Let R = {(1, 3), (2, 6), (3, 10), (4, 9)} $\subseteq$ A x B bea relation. Show that R is a function and find its domain, co-domain and the range of R.

• 2)

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.

• 3)

State whether the graph represent a function. Use vertical line test.

• 4)

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 table .

• 5)

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 an arrow .

#### 10th Standard Maths English Medium Creative Important 1 Marks Questions - by Indumathi - Namakkal - View & Read

• 1)

A={a,b,C},B={2,3},C={a,b,C,d}then n[(A∩C)XB] is:

• 2)

If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

• 3)

The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C $t(C)=\cfrac { 9c }{ 5 } +32$ is :

• 4)

If (x)=ax-2,g(x)=2x-1 and fog=gof, the value of a is

• 5)

If(x)=2-3x, then f of(1-x)=?

#### 10th Standard Maths English Medium Book back Important 1 Mark Questions - by Indumathi - Namakkal - View & Read

• 1)

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

• 2)

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

• 3)

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

• 4)

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

• 5)

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

#### 10th Standard Maths English Medium Model Question Paper - 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 and g be two functions given by
f={(0,1), (2,0), (3,-4), (4,2), (5,7)}
g={(0,2), (1,0), (2,4), (-4,2), (7,0)} then the  range of f o g is

• 3)

74k $\equiv$ ________ (mod 100)

• 4)

The difference between the remainders when 6002 and 601 are divided by 6 is:

• 5)

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

#### 10th Standard Maths English Medium Public Exam Model Question Paper  - II July 2020 - 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 ordered pairs (a+2,4) and (5,2a+b) are equal then (a,b) is

• 3)

74k $\equiv$ ________ (mod 100)

• 4)

The difference between the remainders when 6002 and 601 are divided by 6 is:

• 5)

If number of columns and rows are not equal in a matrix then it is said to be a

#### 10th Standard Maths English Medium Public Exam Model Question Paper - II June 2020 - by Indumathi - Namakkal - View & Read

• 1)

Let f(x) = $\sqrt { 1+x^{ 2 } }$ then

• 2)

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

• 3)

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

• 4)

How many terms are there in the G.P::5,20,80,320,...,20480:

• 5)

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

#### 10th Standard Maths English Medium Public Exam Model Question Paper July 2020 - by Indumathi - Namakkal - View & Read

• 1)

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

• 2)

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

• 3)

If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

• 4)

If(x)=mx+n,when m and n are integers f(-2)=7, and f(3)=2 then m and n are equal to :

• 5)

If (x)=ax-2,g(x)=2x-1 and fog=gof, the value of a is

#### 10th Standard Maths English Medium Public Exam Model Question Paper June 2020 - by Indumathi - Namakkal - View & Read

• 1)

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

• 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)

If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

• 4)

If (x)=ax-2,g(x)=2x-1 and fog=gof, the value of a is

• 5)

If(x)=2-3x, then f of(1-x)=?

#### 10th Standard Maths (English Medium) Important Questions Bookback and Creative - by 10th maths English Medium - New syllabus 2019 - View & Read

• 1)

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

• 2)

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

• 3)

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

• 4)

If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

• 5)

If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

#### 10th Standard Maths (English Medium) Imporant Questions - by 10th maths English Medium - New syllabus 2019 - View & Read

• 1)

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..

• 2)

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

• 3)

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

• 4)

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

• 5)

Let f and g be two functions given by
f={(0,1), (2,0), (3,-4), (4,2), (5,7)}
g={(0,2), (1,0), (2,4), (-4,2), (7,0)} then the  range of f o g is

#### 10th Standard Maths (English Medium) Model Question Paper - by 10th maths English Medium - New syllabus 2019 - View & Read

• 1)

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

• 2)

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

• 3)

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

#### 10th standard Maths One Mark important Questions Book back and Creative - 2020 - by Indumathi - Namakkal - View & Read

• 1)

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

• 2)

Let f and g be two functions given by
f={(0,1), (2,0), (3,-4), (4,2), (5,7)}
g={(0,2), (1,0), (2,4), (-4,2), (7,0)} then the  range of f o g is

• 3)

Let f(x) = $\sqrt { 1+x^{ 2 } }$ then

• 4)

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

• 5)

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

#### 10th Standard Mathematics English Medium All Chapter Book Back and Creative One Marks Questions 2020 - by Indumathi - Namakkal - View & Read

• 1)

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

• 2)

Let f(x) = $\sqrt { 1+x^{ 2 } }$ then

• 3)

The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C $t(C)=\cfrac { 9c }{ 5 } +32$ is :

• 4)

If f is constant function of value $\cfrac { 1 }{ 10 }$, the value of f(1)+f(2)+...+f(100) is:

• 5)

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

#### 10th Standard Mathematics English Medium All Chapter Book Back and Creative Two Marks Questions 2020 - by Indumathi - Namakkal - View & Read

• 1)

In electrical circuit theory, a circuit C(t) is called a linear circuit if it satisfies the superposition principle given by C(at1+ bt2) = aC(t1) + bC(t2)  where a,b are constants. Show that the circuit C(t) = 3t is linear.

• 2)

Let A={9,10,11,12,13,14,15,16,17} and let f: A ⟶ N be defined f(n) = the highest prime factor of n $\in$ A. Write f as a set of ordered pairs and find the range of f.

• 3)

State whether the graph represent a function. Use vertical line test.

• 4)

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 table .

• 5)

Find the next three terms of the sequences.
1,0.1,0.01,...

#### 10th Standard Mathematics English Medium All Chapter Book Back and Creative Five Marks Questions 2020 - by Indumathi - Namakkal - View & Read

• 1)

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

• 2)

A function f: [-5,9] ⟶ R is defined as follows:

Find
i. f(-3)+f(2)
ii. f(7)-f(1)
iii. 2f(4)+f(8)
iv. $\frac { 2f(-2)-f(6) }{ f(4)+f(-2) } \\$

• 3)

A functionf: (1,6) $\rightarrow$R is defined as follows:

Find the value of f(5),

• 4)

If R = {(a, -2), (-5, b), (8, c), (d, -1)} represents the identity function, find the values of a, b, c and

• 5)

Find the sum to n terms of the series
3 +33 + 333 + ...to n terms

#### 10th Standard Mathematics English Medium All Chapter Book Back and Creative Eight Marks Questions 2020 - by Indumathi - Namakkal - View & Read

• 1)

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

• 2)

Graph the following quadratic equations and state their nature of solutions.
x2 - 4x + 4 = 0

• 3)

Draw a triangle ABC of base BC = 5.6 cm, $\angle$A=40o and the bisector of $\angle$A meets BC at D such that CD = 4 cm.

• 4)

Draw a circle of radius 4 cm. At a point L on it draw a tangent to the circle using the alternate segment.

#### 10th Standard Mathematics All Chapter Creative Questions-I-2019-2020 - by Indumathi - Namakkal - View & Read

• 1)

If $f(x)=\cfrac { 1 }{ x }$, and $g(x)=\cfrac { 1 }{ { x }^{ 3 } }$ then fogo(y),is:

• 2)

Given a1=-1, $a=\cfrac { { a }_{ n } }{ n+2 }$,then a4 is :

• 3)

The square root of 4m2-24m+36 is

• 4)

In figure $\angle OAB={ 60 }^{ o }$ and OA=6cm then radius of the circle is

• 5)

Two concentric circles if radill a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is

#### 10th Standard Mathematics All Chapter Creative Questions-I-2020 - by Indumathi - Namakkal - View & Read

• 1)

If $\\ \\ (x)=\cfrac { x+1 }{ x-2 } ,g(x)=\cfrac { 1+2x }{ x-1 }$ then f og(x) is :

• 2)

Sum of infinite terms of G.P is 12 and the first term is 8.what is the fourth term of the G.P?

• 3)

(i) Every scalar matrix is an identity matrix
(ii) Every identity matrix is a scalar matrix
(iii) Every diagonal matrix is an identity matrix
(iv) Every null matrix is a scalar matrix

• 4)

Two concentric circles if radill a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is

• 5)

Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two if the sides of the triangle are 2cm,3cm and 4 cm. find the diameter of the smallest circle.

#### 10th Standard Mathematics All Chapter Important Creative  Questions-I- 2020 - by Indumathi - Namakkal - View & Read

• 1)

If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

• 2)

44≡8 (mod12), 113≡85 (mod 12),thus 44X113≡______(mod 12):

• 3)

The real roots of the quardractic equation x2-x-1 are

• 4)

If the angle between two radil of a circle is o, the angle between the tangents at the end of the radii is

• 5)

Two concentric circles if radill a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is

#### 10th Standard Mathematics All Chapter Important Creative  Questions-I- 2019-2020 - by Indumathi - Namakkal - View & Read

• 1)

If functionf:N⟶N,f(x)=2x then the function is, then the function is

• 2)

The difference between the remainders when 6002 and 601 are divided by 6 is:

• 3)

The parabola y=-3x2 is

• 4)

If triangle PQR is similar to triangle LMN such that 4PQ=LM and QR=6 cm then MN is equal to :

• 5)

If ABC is a triangle and AD bisects ረA ,AB=4cm,BD=6cm,DC=8cm then the value of AC is

#### 10th Standard Mathematics All Chapter Creative Questions-II-2019-2020 - by Indumathi - Namakkal - View & Read

• 1)

If (x)=ax-2,g(x)=2x-1 and fog=gof, the value of a is

• 2)

In the arithemetic series Sn=k+2k+3k+...+100, k is positive integer and k is a factor 100 then Sn is:

• 3)

If $A=\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{matrix} \right] _{ 3\times 2 }$ $B=\left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{matrix} \right] _{ 2\times 3 }$ then which of the following products can be made from these matrices
(i) A2
(ii) B2
(iii) AB
(iv) BA

• 4)

In the given figure if OC=9 cm and OB=15 cm then OB+BD is equal to

• 5)

Two concentric circles if radill a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is

#### 10th Standard Mathematics All Chapter Creative Questions-II-2020 - by Indumathi - Namakkal - View & Read

• 1)

The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C $t(C)=\cfrac { 9c }{ 5 } +32$ is :

• 2)

44≡8 (mod12), 113≡85 (mod 12),thus 44X113≡______(mod 12):

• 3)

Graphically an infinite number of solutions represents

• 4)

The perimeter of a right triangle is 36 cm. Its hypotenuse is 15 cm, then the area of the traiangle is

• 5)

In figure $\angle OAB={ 60 }^{ o }$ and OA=6cm then radius of the circle is

#### 10th Standard Mathematic All Chapter Important Creative Questions-II- 2019-2020 - by Indumathi - Namakkal - View & Read

• 1)

If $\\ \\ (x)=\cfrac { x+1 }{ x-2 } ,g(x)=\cfrac { 1+2x }{ x-1 }$ then f og(x) is :

• 2)

If p,q,r,x,y,z are in A.P, then 5p+3,5r+3,5x+3,5y+3,5z+3 form

• 3)

Which of the following is correct
(i) Every polynomial has finite number of multiples
(ii) LCM of two polynimials of degree 2 may be a constant
(iii) HCF of 2 polynomials may be constant
(iv) Degree of HCF of two polynomials is always less then degree of LCM

• 4)

If triangle PQR is similar to triangle LMN such that 4PQ=LM and QR=6 cm then MN is equal to :

• 5)

Three circles are drawn with the vertices of a triangle as centres such that each circle touches the other two if the sides of the triangle are 2cm,3cm and 4 cm. find the diameter of the smallest circle.

#### 10th Standard Mathematics All Chapter Important Creative Questions-II-2020 - by Indumathi - Namakkal - View & Read

• 1)

If(x)=2-3x, then f of(1-x)=?

• 2)

How many terms are there in the G.P::5,20,80,320,...,20480:

• 3)

Which of the following are linear equation in three variables

• 4)

If triangle PQR is similar to triangle LMN such that 4PQ=LM and QR=6 cm then MN is equal to :

• 5)

The ratoi of the areas of two similar triangles is equal to

#### 10th Standard Mathematics Creative Test Model - by Indumathi - Namakkal - View & Read

• 1)

The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C $t(C)=\cfrac { 9c }{ 5 } +32$ is :

• 2)

Sum of first n terms of the series $\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +...$ is

• 3)

If $2A+3B=\left[ \begin{matrix} 2 & -1 & 4 \\ 3 & 2 & 5 \end{matrix} \right]$ and $A+2B=\left[ \begin{matrix} 5 & 0 & 3 \\ 1 & 6 & 2 \end{matrix} \right]$ then B=[hint:B=(A+2B)-(2+3B)]

• 4)

The ratoi of the areas of two similar triangles is equal to

• 5)

Two concentric circles if radill a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is

#### 10th Standard Mathematics Book Back and Important Questions-II-2019-2020 - by Indumathi - Namakkal - 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)

$(x-\cfrac { 1 }{ x } )={ x }^{ 2 }+\cfrac { 1 }{ { x }^{ 2 } }$ then f(x)=

• 4)

A={a,b,C},B={2,3},C={a,b,C,d}then n[(A∩C)XB] is:

• 5)

If functionf:N⟶N,f(x)=2x then the function is, then the function is

#### 10th Standard Mathematics Book Back and Important Questions-I-2019-2020 - by Indumathi - Namakkal - View & Read

• 1)

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

• 2)

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

• 3)

If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

• 4)

If (x)=ax-2,g(x)=2x-1 and fog=gof, the value of a is

• 5)

If $f(x)=\cfrac { 1 }{ x }$, and $g(x)=\cfrac { 1 }{ { x }^{ 3 } }$ then fogo(y),is:

#### 10th Standard Mathematics Book back and Creative Important Questions-II- 2020 - by Indumathi - Namakkal - View & Read

• 1)

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

• 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)

If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

• 4)

If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

• 5)

The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C $t(C)=\cfrac { 9c }{ 5 } +32$ is :

#### 10th Standard Mathematics Book back and Creative Important Questions-I- 2020 - 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 ordered pairs (a+2,4) and (5,2a+b) are equal then (a,b) is

• 3)

If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

• 4)

If f(x)=x+1 then f(f(f(y+2)) is :

• 5)

If(x)=2-3x, then f of(1-x)=?

#### 10th Standard Mathematics Questions -II- 2019-2020 - 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)

The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C $t(C)=\cfrac { 9c }{ 5 } +32$ is :

• 4)

If $f(x)=\cfrac { 1 }{ x }$, and $g(x)=\cfrac { 1 }{ { x }^{ 3 } }$ then fogo(y),is:

• 5)

if f(x)+f(1-x)=2 then $f\left( \cfrac { 1 }{ 2 } \right)$ is

#### 10th Standard Mathematics Questions -I- 2019-2020 - by Indumathi - Namakkal - View & Read

• 1)

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

• 2)

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

• 3)

If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

• 4)

A={a,b,C},B={2,3},C={a,b,C,d}then n[(A∩C)XB] is:

• 5)

If functionf:N⟶N,f(x)=2x then the function is, then the function is

#### 10th Standard Mathematics Important Question All Chapter Questions -II- 2019-2020 - by Indumathi - Namakkal - View & Read

• 1)

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

• 2)

Let f(x) = $\sqrt { 1+x^{ 2 } }$ then

• 3)

If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

• 4)

If functionf:N⟶N,f(x)=2x then the function is, then the function is

• 5)

If(x)=2-3x, then f of(1-x)=?

#### 10th Standard Mathematics Important Question All Chapter-I- 2020 - by Indumathi - Namakkal - View & Read

• 1)

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

• 2)

Let f(x) = $\sqrt { 1+x^{ 2 } }$ then

• 3)

If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

• 4)

$(x-\cfrac { 1 }{ x } )={ x }^{ 2 }+\cfrac { 1 }{ { x }^{ 2 } }$ then f(x)=

• 5)

If the order pairs (a,-1) and 5,b) blongs to {(x,y)[y=2x+3}, then a and b are:

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

• 1)

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

• 2)

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

• 3)

If f:R⟶R is defined by(x)=x2+2, then the premiage 27 are:

• 4)

The function t which maps temperature in degree Cesius into tmperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of  C $t(C)=\cfrac { 9c }{ 5 } +32$ is :

• 5)

If (x)=ax-2,g(x)=2x-1 and fog=gof, the value of a is

#### 10th Maths - Full Portion Eight Marks Question Paper - by 8682895000 - View & Read

• 1)

Let A={1,2} and B={1,2,3,4}, C={5,6} and D={5,6,7,8}, Verify whether A x C is a subset of B x D?

• 2)

A functionf: (1,6) $\rightarrow$R is defined as follows:

Find the value of f(2) - f( 4).

• 3)

Show that 107 is of the form 4q +3 for any integer q.

• 4)

Discuss the nature of solutions of the following quadratic equations.x2 + 2x + 5 = 0

• 5)

Graph the following quadratic equations and state their nature of solutions.
x2 - 9 = 0

#### 10th Maths - Full Portion Five Marks Question Paper - by 8682895000 - View & Read

• 1)

Represent each of the given relations by (a) an arrow diagram, (b) a graph and (c) a set in roster form, wherever possible.
i. {(x,y)|x = 2y, x $\in$ {2,3,4,5}, y $\in${1,2,3,4}
ii. {(x,y)|y = x+3, x, y are natural numbers < 10}.

• 2)

An open box is to be made from a square piece of material, 24 cm on a side, by cutting equal squares from the corners and turning up the sides as shown Fig. Express the volume V of the box as a function of x.

• 3)

A functionf: [-7,6) $\rightarrow$ R is defined as follows.

f(-7) -f(-3)

• 4)

A functionf: [-7,6) $\rightarrow$ R is defined as follows.

$\cfrac { 4f(-3)+2f(4) }{ f(-6)-3f(1) }$

• 5)

Let A = {1, 2, 3, 4, 5}, B = N and f: A $\rightarrow$B be defined by f(x) = x2. Find the range of f. Identify the type of function.

#### 10th Maths - Full Portion Two Marks Question Paper - by 8682895000 - View & Read

• 1)

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

• 2)

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.

• 3)

A plane is flying at a speed of 500 km per hour. Express the distance d travelled by the plane as function of time t in hours.

• 4)

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

• 5)

State whether the graph represent a function. Use vertical line test.

#### 10th Maths - Revision Model Question Paper 2 - by Indumathi - Namakkal - View & Read

• 1)

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

• 2)

Let f and g be two functions given by
f={(0,1), (2,0), (3,-4), (4,2), (5,7)}
g={(0,2), (1,0), (2,4), (-4,2), (7,0)} then the  range of f o g is

• 3)

If A = 265 and B = 264+263+262+...+20 Which of the following is true?

• 4)

For the given matrix A = $\left( \begin{matrix} 1 \\ 2 \\ 9 \end{matrix}\begin{matrix} 3 \\ 4 \\ 11 \end{matrix}\begin{matrix} 5 \\ 6 \\ 13 \end{matrix}\begin{matrix} 7 \\ 8 \\ 15 \end{matrix} \right)$ the order of the matrix AT is

• 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 Maths - Public Exam Model Question Paper 2019 - 2020 - by Indumathi - Namakkal - View & Read

• 1)

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

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)

For the given matrix A = $\left( \begin{matrix} 1 \\ 2 \\ 9 \end{matrix}\begin{matrix} 3 \\ 4 \\ 11 \end{matrix}\begin{matrix} 5 \\ 6 \\ 13 \end{matrix}\begin{matrix} 7 \\ 8 \\ 15 \end{matrix} \right)$ the order of the matrix AT is

• 5)

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

#### 10th Maths - Statistics and Probability Model Question Paper - by Indumathi - Namakkal - View & Read

• 1)

If are event occurs surely, then its probability is

• 2)

Two dice are through simultaneously the probability if getting a double is:

• 3)

The standard deviation is the ____ of variance

• 4)

The mean of a observation x1, x2, x3, .........xn is $\bar { x }$. If each observation is multiplied by p, there the mean of the new observations is

• 5)

If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then find the largest value.

#### 10th Maths - Mensuration Model Question Paper - by Indumathi - Namakkal - View & Read

• 1)

The radio of base of a one 5 cm and to height 12cm. The slant height of the cone.

• 2)

A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?

• 3)

• 4)

The volume of a frustum if a cone of height L and ends -radio and r1 and r2 is

• 5)

The ratio of the volumes of two cones is 2:3. Find the ratio of their radii if the height of second cone is double the height of the first.

#### 10th Maths - Trigonometry Model Question Paper - by Indumathi - Namakkal - View & Read

• 1)

If sinθ-cosθ=0, then the value of (sin4θ+cos4θ) is

• 2)

The value of sin2θ +$\frac { 1 }{ 1+{ tan }^{ 2 }\theta }$ of

• 3)

(cosec2θ-cot2θ) (1-cos2θ) is equal to

• 4)

9 sec2A -9tam2A=

• 5)

$1+\frac { { cot }^{ 2 }\alpha }{ 1+cosex\alpha } =cosec\alpha$

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

• 1)

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

• 2)

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

• 3)

When proving that a quadrilateral is a parallelogram by using slopes you must find

• 4)

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

• 5)

Find the value of ‘a’ for which the given points are collinear.
(2, 3), (4, a) and (6, –3)

#### 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

#### 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 - 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?
R1={(3,7), (4,7), (7,10), (8,1)}

• 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

### TN Stateboard Education Study Materials

#### 10th Maths Unit 1 and 2 Important Questions - by Indumathi - Namakkal Aug 13, 2019 Aug 13, 2019

10th Maths Unit 1 and 2 Important Questions

#### 10th Stateboard Maths 2019 - 2020 Academic Monthly Syllabus - by Indumathi - Namakkal Aug 05, 2019 Aug 05, 2019

Maths 2019 - 2020 Academic Monthly Syllabus

### 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

Latest Sample Question Papers & Study Material for class 10 session 2019 - 2020 for Subjects Science, Social Science, English in PDF form to free download [ available question papers ] for practice. Download QB365 Free Mobile app & get practice question papers.

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