Question bank

Chapter-1   Rational Numbers
Q-1 Fill in the blanks:
(a) 2/3 is a ________ number.
(b) Every rational number is the quotient of _____ integers.
(c) -7/-12 is a _________ rational number.
Q-2 True or False:
(a) -7/8 is a negative rational number.
(b) -13/12 is a positive rational number.
(c) -5/3= -10/6
Q-3 One word answer:
(a) LCM of 9 and 5.
(b) Which of the rational numbers 3/-4 and -5/6 is greater?
(c) The rational number which is neither positive nor negative.
Q-4 Fill in the blanks:
(a) 2/3 is a ________ number.
(b) Every rational number is the quotient of _____ integers.
(c) -7/-12 is a _________ rational number.
Q-5 True or False:
(a) -7/8 is a negative rational number.
(b) -13/12 is a positive rational number.
(c) -5/3= -10/6
Q-6 One word answer:
(a) LCM of 9 and 5.
(b) Which of the rational numbers 3/-4 and -5/6 is greater?
(c) The rational number which is neither positive nor negative.
Multiple Choice Questions
Q-1 1, 2, 3, 4,..... are called _______ numbers.

(i)

natural

(ii)

composite

(iii)

none of these
Q-2 All fractions are ________ numbers.

(i)

rational

(ii)

irrational

(iii)

natural
Q-3 Every rational number is the quotient of _________ integers.

(i)

two

(ii)

three

(iii)

four
Q-4 A rational number is said to be negative if its numerator and denominator are of ______ signs.

(i)

same

(ii)

opposite

(iii)

none of these
Q-5 1, 2, 3, 4,..... are called _______ numbers.

(i)

natural

(ii)

composite

(iii)

none of these
Q-6 All fractions are ________ numbers.

(i)

rational

(ii)

irrational

(iii)

natural
Q-7 Every rational number is the quotient of _________ integers.

(i)

two

(ii)

three

(iii)

four
Q-8 A rational number is said to be negative if its numerator and denominator are of ______ signs.

(i)

same

(ii)

opposite

(iii)

none of these
Chapter-2   Powers
Q-1 Fill in the blanks:
(a) In 3/4^2, 3/4 is the _________.
(b) In 3/4^2, 2 is the _________.
(c) 2^5 read as 2 raised to _________ 5.
Q-2 True or False:
(a) The result of 3^2 is 9.
(b) The result of 2^-3 is -8.
(c) The result of -1^5 is 1.
Q-3 One word answer:
(a) The reciprocal of 16/125.
(b) What is the result of (3/5^0)?
(c) What is the result of 3.74X10^2
Q-4 Fill in the blanks:
(a) In 3/4^2, 3/4 is the _________.
(b) In 3/4^2, 2 is the _________.
(c) 2^5 read as 2 raised to _________ 5.
Q-5 True or False:
(a) The result of 3^2 is 9.
(b) The result of 2^-3 is -8.
(c) The result of -1^5 is 1.
Q-6 One word answer:
(a) The reciprocal of 16/125.
(b) What is the result of (3/5^0)?
(c) What is the result of 3.74X10^2
Multiple Choice Questions
Q-1 In 2^5, 2 is the _______.

(i)

base

(ii)

power

(iii)

exponent
Q-2 In 2^5, 5 is the _______.

(i)

power

(ii)

exponent

(iii)

both of these
Q-3 The reciprocal of 1/x^n is _______.

(i)

x^n

(ii)

x^-n

(iii)

x
Q-4 In 2^5, 2 is the _______.

(i)

base

(ii)

power

(iii)

exponent
Q-5 In 2^5, 5 is the _______.

(i)

power

(ii)

exponent

(iii)

both of these
Q-6 The reciprocal of 1/x^n is _______.

(i)

x^n

(ii)

x^-n

(iii)

x
Chapter-3   Squares and Square Roots
Q-1 Fill in the blanks:
(a) The square of 4 is _________.
(b) 9 is the square of _______.
(c) 4 is the square of ________.
Q-2 True or False:
(a) The result of 8^2 is 16
(b) The result of 10^2 is 100.
(c) 49 is the square of 9.
Q-3 One word answer:
(a) What is the square of 11?
(b) What is the square root of 144?
(c) What is the result of 6^2?
Q-4 Fill in the blanks:
(a) The square of 4 is _________.
(b) 9 is the square of _______.
(c) 4 is the square of ________.
Q-5 True or False:
(a) The result of 8^2 is 16
(b) The result of 10^2 is 100.
(c) 49 is the square of 9.
Q-6 One word answer:
(a) What is the square of 11?
(b) What is the square root of 144?
(c) What is the result of 6^2?
Multiple Choice Questions
Q-1 4 is the square of ________.

(i)

2

(ii)

3

(iii)

4
Q-2 25 is the square of _______.

(i)

3

(ii)

5

(iii)

7
Q-3 In general, square of a = a^2 = _____ for any number 'a'.

(i)

a*a

(ii)

a+a

(iii)

a/a
Q-4 Square numbers are also called ________.

(i)

perfect cubes

(ii)

perfect squares

(iii)

none of these
Q-5 4 is the square of ________.

(i)

2

(ii)

3

(iii)

4
Q-6 25 is the square of _______.

(i)

3

(ii)

5

(iii)

7
Q-7 In general, square of a = a^2 = _____ for any number 'a'.

(i)

a*a

(ii)

a+a

(iii)

a/a
Q-8 Square numbers are also called ________.

(i)

perfect cubes

(ii)

perfect squares

(iii)

none of these
Chapter-4   Cubes and Cube Roots
Q-1 Fill in the blanks:
(a) The cube of 1 is _______.
(b) The cube of 2 is ________.
(c) The cube of 7 is _________.
Q-2 True or False:
(a) The cube root of 216 is 6.
(b) 8 is not a perfect cube.
(c) The cube root of 64 is 4.
Q-3 One word answer:
(a) Is 648 a perfect cube?
(b) Is 27 a perfect cube?
(c) Is 1000 a perfect cube?
Q-4 Fill in the blanks:
(a) The cube of 1 is _______.
(b) The cube of 2 is ________.
(c) The cube of 7 is _________.
Q-5 True or False:
(a) The cube root of 216 is 6.
(b) 8 is not a perfect cube.
(c) The cube root of 64 is 4.
Q-6 One word answer:
(a) Is 648 a perfect cube?
(b) Is 27 a perfect cube?
(c) Is 1000 a perfect cube?
Multiple Choice Questions
Q-1 What is the cube of 1?

(i)

1

(ii)

3

(iii)

5
Q-2 What is the cube root of 8?

(i)

1

(ii)

2

(iii)

8
Q-3 A natural number which can be expressed as a product of triplets of equal factors is known as a _______.

(i)

perfect square

(ii)

perfect cube

(iii)

none of these
Q-4 What is the cube of 1?

(i)

1

(ii)

3

(iii)

5
Q-5 What is the cube root of 8?

(i)

1

(ii)

2

(iii)

8
Q-6 A natural number which can be expressed as a product of triplets of equal factors is known as a _______.

(i)

perfect square

(ii)

perfect cube

(iii)

none of these
Chapter-5   Algebraic Expressions
Q-1 Fill in the blanks:
(a) A combination of constants and variables connected by fundamental operations that is, +, –, ×, and ÷ signs, is known as an __________ expression.
(b) 5a, 3x + 7, and 5x2 + 3y – 8 are _________ expressions.
(c) x, y, and a are called _________ numbers, or variables, as they can take various numerical values.
Q-2 True or False:
(a) 5a has one term.
(b) 3x+7 has two terms.
(c) 5x2 + 3y – 8 has four terms.
Q-3 One word answer:
(a) How many terms are there in binomial expression?
(b) How many terms are there in trinomial expression?
(c) How many terms are there in monomial expression?
Q-4 Fill in the blanks:
(a) A combination of constants and variables connected by fundamental operations that is, +, –, ×, and ÷ signs, is known as an __________ expression.
(b) 5a, 3x + 7, and 5x2 + 3y – 8 are _________ expressions.
(c) x, y, and a are called _________ numbers, or variables, as they can take various numerical values.
Q-5 True or False:
(a) 5a has one term.
(b) 3x+7 has two terms.
(c) 5x2 + 3y – 8 has four terms.
Q-6 One word answer:
(a) How many terms are there in binomial expression?
(b) How many terms are there in trinomial expression?
(c) How many terms are there in monomial expression?
Multiple Choice Questions
Q-1 A monomial expression has ________ term.

(i)

one

(ii)

two

(iii)

three
Q-2 A binomial expression has ________ terms.

(i)

two

(ii)

three

(iii)

four
Q-3 A trinomial expression has _______ terms.

(i)

one

(ii)

two

(iii)

three
Q-4 An algebraic expression having one or more terms is called a ________.

(i)

binomial

(ii)

trinomial

(iii)

polynomial
Q-5 A monomial expression has ________ term.

(i)

one

(ii)

two

(iii)

three
Q-6 A binomial expression has ________ terms.

(i)

two

(ii)

three

(iii)

four
Q-7 A trinomial expression has _______ terms.

(i)

one

(ii)

two

(iii)

three
Q-8 An algebraic expression having one or more terms is called a ________.

(i)

binomial

(ii)

trinomial

(iii)

polynomial
Chapter-6   Factorisation of Algebraic Expression
Q-1 Fill in the blanks:
(a) ___________ is the reverse process of multiplication.
(b) Factors of a __________ consist of every literal, their product and number that will divide it exactly.
(c) 1 is a factor of every algebraic term, so 1 is called a ________ factor.
Q-2 True or False:
(a) The HCF of 6 and 24 is 6.
(b) The process of finding factors of a given expression is called factorisation.
(c) Factorisation can be done by taking out a common factor and by making groups.
Q-3 One word answer:
(a) a^2+B^2+2ab is the formula of ?
(b) a^2+b^2-2ab is the formula of?
(c) Which is the coefficient of ax+9?
Q-4 Fill in the blanks:
(a) ___________ is the reverse process of multiplication.
(b) Factors of a __________ consist of every literal, their product and number that will divide it exactly.
(c) 1 is a factor of every algebraic term, so 1 is called a ________ factor.
Q-5 True or False:
(a) The HCF of 6 and 24 is 6.
(b) The process of finding factors of a given expression is called factorisation.
(c) Factorisation can be done by taking out a common factor and by making groups.
Q-6 One word answer:
(a) a^2+B^2+2ab is the formula of ?
(b) a^2+b^2-2ab is the formula of?
(c) Which is the coefficient of ax+9?
Multiple Choice Questions
Q-1 Factorisation is the reverse process of ______________.

(i)

multiplication

(ii)

division

(iii)

addition
Q-2 The process of writing a given algebraic expression as the product of two or more factors is called _______.

(i)

multiplication

(ii)

factorisation

(iii)

none of these
Q-3 Finding factors is ________ of finding products.

(i)

same

(ii)

opposite

(iii)

both of these
Q-4 Factorisation is the reverse process of ______________.

(i)

multiplication

(ii)

division

(iii)

addition
Q-5 The process of writing a given algebraic expression as the product of two or more factors is called _______.

(i)

multiplication

(ii)

factorisation

(iii)

none of these
Q-6 Finding factors is ________ of finding products.

(i)

same

(ii)

opposite

(iii)

both of these
Chapter-7   Linear Equations in one Variable
Q-1 Fill in the blanks:
(a) An __________ is a statement of equality of two algebraic expressions involving one or more variables.
(b) An equation which contains one or more variables with maximum power as _______ is called a linear equation.
(c) If a linear equation has only _______ variable it is called a linear equation in one variable.
Q-2 True or False:
(a) The value of the variable which satisfies the equation is called a solution or a root of the equation.
(b) The LCM of 4,3,3 is 12.
(c) The degree of the polynomial involved in a linear equation is two.
Q-3 One word answer:
(a) What is the solution of the equation 9x – 1 = 8?
(b) If 2x+9=15, then what is the value of x?
(c) In 2x + 4 = x – 5, what is the value of x?
Q-4 Fill in the blanks:
(a) An __________ is a statement of equality of two algebraic expressions involving one or more variables.
(b) An equation which contains one or more variables with maximum power as _______ is called a linear equation.
(c) If a linear equation has only _______ variable it is called a linear equation in one variable.
Q-5 True or False:
(a) The value of the variable which satisfies the equation is called a solution or a root of the equation.
(b) The LCM of 4,3,3 is 12.
(c) The degree of the polynomial involved in a linear equation is two.
Q-6 One word answer:
(a) What is the solution of the equation 9x – 1 = 8?
(b) If 2x+9=15, then what is the value of x?
(c) In 2x + 4 = x – 5, what is the value of x?
Multiple Choice Questions
Q-1 An _____________ is a statement of equality of two algebraic expressions involving one or more variables.

(i)

algebra

(ii)

equations

(iii)

none of these
Q-2 An equation which contains one or more variables with maximum power as 'one' is called a _______ equation.

(i)

binomial

(ii)

trinomial

(iii)

linear
Q-3 The value of a variable that satisfies the equation is called a ________.

(i)

answer

(ii)

quotation

(iii)

solution
Q-4 An _____________ is a statement of equality of two algebraic expressions involving one or more variables.

(i)

algebra

(ii)

equations

(iii)

none of these
Q-5 An equation which contains one or more variables with maximum power as 'one' is called a _______ equation.

(i)

binomial

(ii)

trinomial

(iii)

linear
Q-6 The value of a variable that satisfies the equation is called a ________.

(i)

answer

(ii)

quotation

(iii)

solution
Chapter-8   Representing Solid Shapes on Paper
Q-1 Fill in the blanks:
(a) ________ dimensional shapes are called in brief 2-D shapes.
(b) When a solid object has length, breadth and height as dimensions, then it is called _________ dimensions object.
(c) There are ______ views of a solid object.
Q-2 True or False:
(a) There are mainly four types of solids.
(b) Top view is a view in solid object.
(c) A cuboid is also called a triangular prism.
Q-3 One word answer:
(a) What is also known as tetrahedron?
(b) Which pyramid's base is a rectangle?
(c) How many vertices are there in rectangular pyramid?
Q-4 Fill in the blanks:
(a) ________ dimensional shapes are called in brief 2-D shapes.
(b) When a solid object has length, breadth and height as dimensions, then it is called _________ dimensions object.
(c) There are ______ views of a solid object.
Q-5 True or False:
(a) There are mainly four types of solids.
(b) Top view is a view in solid object.
(c) A cuboid is also called a triangular prism.
Q-6 One word answer:
(a) What is also known as tetrahedron?
(b) Which pyramid's base is a rectangle?
(c) How many vertices are there in rectangular pyramid?
Multiple Choice Questions
Q-1 Every solid objects has ______ different views.

(i)

two

(ii)

three

(iii)

four
Q-2 There are mainly _________ types of solids.

(i)

two

(ii)

three

(iii)

four
Q-3 Cone is a special type of ________.

(i)

rectangle

(ii)

square

(iii)

pyramid
Q-4 ________ is a solid whose every point equidistant from a fixed point.

(i)

Pyramid

(ii)

Sphere

(iii)

Prism
Q-5 Every solid objects has ______ different views.

(i)

two

(ii)

three

(iii)

four
Q-6 There are mainly _________ types of solids.

(i)

two

(ii)

three

(iii)

four
Q-7 Cone is a special type of ________.

(i)

rectangle

(ii)

square

(iii)

pyramid
Q-8 ________ is a solid whose every point equidistant from a fixed point.

(i)

Pyramid

(ii)

Sphere

(iii)

Prism