Question bank

Chapter-1   Integers
Q-1 Fill in the blanks:
(a) One less than a given integer is called its __________.
(b) One more than the given integer is called its __________.
(c) ___________ is less than every positive integer.
(d) The integers on the number line form an _______ sequence.
Q-2 True or False:
(a) A list of numbers following a definite rule which goes on forever is called an infinite sequence.
(b) Each multiplication fact has two division facts.
(c) For subtracting an integer, add its opposites.
(d) 0 is the additive identity where as 1 is the multiplicative identity for integers.
Q-3 One word answer:
(a) Find the sum of –18, 14.
(b) Find the sum of –26, –3.
(c) Find the sum of 26, –26.
(d) Find the sum of –35, –29.
Multiple Choice Questions
Q-1 The word integer means ______ or intact.

(i)

whole

(ii)

partial

(iii)

full
Q-2 ________ is neither positive nor negative.

(i)

Zero

(ii)

One

(iii)

Two
Q-3 Every negative integer is _________ than every positive integer.

(i)

bigger

(ii)

larger

(iii)

smaller
Q-4 Every negative integer is to the __________ of every positive integer.

(i)

left

(ii)

right

(iii)

top
Chapter-2   Fractions
Q-1 Fill in the blanks:
(a) A fraction has _________ parts.
(b) A fraction in which the numerator is smaller than the denominator is called a __________.
(c) A fraction in which the numerator is greater than or equal to the denominator is called an ______________.
(d) A _____________ is always greater than 1.
Q-2 True or False:
(a) An improper fraction can be converted into a mixed fraction.
(b) Equivalent fractions can be found by multiplying or dividing the numerator and denominator of a fraction by the same nonzero number.
(c) Fraction is a number expressed as a quotient, in which a denominator is divided by a numerator.
(d) The product of a non-zero number and its reciprocal is 0.
Q-3 One word answer:
(a) What is the LCM of 16 and 12.
(b) Simplify : 5/9 - 7/12 + 1/2.
(c) Find the sum of 5/9 + 3/9.
(d) Solve 2 - 3/5.
Multiple Choice Questions
Q-1 _________ represents a part of a whole, consisting of a number of equal parts out of a whole.

(i)

Integer

(ii)

Fraction

(iii)

none of these
Q-2 A fraction is a number of the form _______.

(i)

p+q

(ii)

p-q

(iii)

p/q
Q-3 A fraction has _________ parts.

(i)

two

(ii)

three

(iii)

four
Chapter-3   Decimals
Q-1 Fill in the blanks:
(a) The number which are written in Decimal form are called ____________.
(b) The decimal number which has the same number of decimal places are called _____________.
(c) The Decimal Numbers which have different number of different number of Decimal places are called ________________.
(d) The value of 25.75/100 is _____________.
Q-2 True or False:
(a) When a decimal is divided by 10, the decimal point is shifted to the left by one place.
(b) When a decimal is divided by 100, the decimal point is shifted to the left by two places.
(c) When a decimal is divided by 1000, the decimal point is shifted to the left by three places.
(d) 25.78/100 is a decimal fraction.
Q-3 One word answer:
(a) Multiply the decimal numbers 5.8 × 2.5.
(b) Multiply the decimal number 4.64 × 0.5.
(c) Multiply the decimal number 9.5 × 0.04.
(d) Multiply the decimal number 5.68 × 0.145.
Multiple Choice Questions
Q-1 The number which are written in Decimal form are called ___________ Numbers.

(i)

fractional

(ii)

decimal

(iii)

none of these
Q-2 (.) is called the ______.

(i)

decimal point

(ii)

fractional part

(iii)

none of these
Q-3 The above example ______ can be read as ‘five hundred and sixty four and eight tenths’.
Q-4 To multiply a decimal by ___________, shift the decimal point 1 place to the right.

(i)

10

(ii)

100

(iii)

1000
Chapter-4   Rational Numbers
Q-1 Fill in the blanks:
(a) __________ are the numbers which are positive integers and includes numbers from 1 till infinity.
(b) Natural numbers including 0 are called _____________.
(c) Every natural number is a __________.
(d) __________ is a rational number.
Q-2 True or False:
(a) A rational number is said to be positive, if both the numerator and the denominator are either positive or negative.
(b) A rational number is said to be negative if either its numerator or denominator is negative.
(c) Equivalent rational numbers are equal in value.
(d) To reduce the rational number to its standard form, we divide its numerator and denominator by their HCF ignoring the negative sign if any.
Q-3 One word answer:
(a) Find 4/9 + (-5)/12.
(b) Add 3/8, (-7)/12 and 11/18.
(c) Subtract 7/8 from 5/12.
(d) Simplify 3/4 - 2/3.
Multiple Choice Questions
Q-1 The set of natural numbers is represented by the letter “_________”.

(i)

M

(ii)

N

(iii)

O
Q-2 Natural numbers including 0 are called _________ numbers.

(i)

positive

(ii)

negative

(iii)

whole
Q-3 Is zero a rational number?

(i)

yes

(ii)

No

(iii)

Maybe
Q-4 In p/q, p is the ______ and q is the denominator.

(i)

numerator

(ii)

denominator

(iii)

none of these
Chapter-5   Exponents and Powers
Q-1 Fill in the blanks:
(a) _____________ are shorthand for repeated multiplication of the same thing by itself.
(b) The word ____________ is usually omitted while reading the exponential form.
(c) Any number raised to power _____ given the same number.
(d) When we multiply two numbers having same base then powers should be _____________.
Q-2 True or False:
(a) Exponents are shorthand for repeated multiplication of the same thing by itself.
(b) The factor which is multiplied by itself again and again is the base and the number of times the factor appears is the exponent.
Q-3 One word answer:
(a) Express 3^2 x 4^2.
(b) Express (-2)^5 x (-3)^5.
(c) Express 2,173,600,000 in standard form.
(d) Explain 0.00453 in standard form.
Multiple Choice Questions
Q-1 Exponents and _____ both are related to each other.

(i)

powers

(ii)

fractions

(iii)

none of these
Q-2 _________ is an expression that shows repeated multiplication of the same number or factor.

(i)

Factors

(ii)

Powers

(iii)

Value
Q-3 The value of the ___________ is based on the number of times the base is multiplied to itself.

(i)

exponent

(ii)

powers

(iii)

none of these
Q-4 a^n is also called the nth power of _________.

(i)

n

(ii)

a

(iii)

none of these
Chapter-6   Algebraic Expressions
Q-1 Fill in the blanks:
(a) A _________ value is not fixed.
(b) A constant has a ___________ value.
(c) A symbol that represents one for more numbers is called a ____________.
(d) A numerical factor of a term that contains a variable is a ____________.
Q-2 True or False:
(a) For adding coefficients of like terms, the rules for addition of integers apply.
(b) A polynomial’s degree is the highest or the greatest power of a variable in a polynomial.
(c) A zero polynomial is the one where all the coefficients are equal to one.
(d) Unlike terms neither be subtracted nor added.
Q-3 One word answer:
(a) Add 5mn, – 6mn, 8mn, – 4mn.
(b) Add 4m – 6n, 2n–4m + 2, 2m – 3mn – 5.
(c) Simplify x + x + x + x + x + x.
(d) Simplify 3p + p – p + p – p.
Multiple Choice Questions
Q-1 __________ is the branch of Maths that uses alphabetical letters to find unknown numbers.

(i)

Fraction

(ii)

Algebra

(iii)

none of these
Q-2 Alphabetical letters are also called ____________.

(i)

variables

(ii)

constants

(iii)

both of these
Q-3 The values which are known in the given expression such as numbers are called ___________.

(i)

variables

(ii)

constants

(iii)

none of these
Q-4 _________ are represented by letters like a, y, p, m, etc.

(i)

Variables

(ii)

Constants

(iii)

none of these
Chapter-7   Comparing Quantities
Q-1 Fill in the blanks:
(a) The _________ is used to compare two quantities.
(b) When we compare two quantities the _________ must be same.
(c) _________ is an equation that defines that the two given ratios are equivalent to each other.
(d) The __________ proportion describes the relationship between two quantities in which an increase in one quantity leads to a decrease in the other quantity.
Q-2 True or False:
(a) Proportions are denoted by the symbol ‘::’ or ‘=’.
(b) The ratio value does not affect when the same non-zero number is multiplied or divided on each term.
(c) The ratio should exist between the quantities of the same kind.
(d) “a” is called the first term or antecedent.
Q-3 One word answer:
(a) Express 1/2 : 1/6 in the simplest form.
(b) Express 8 : 64 in simplest form.
(c) Express 28 : 63 in simplest form.
(d) Express 27 : 9 in simplest form.
Multiple Choice Questions
Q-1 Any number without a variable is a __________.

(i)

constant

(ii)

variable

(iii)

fraction
Q-2 A _______ expression has only one term.

(i)

monomial

(ii)

binomial

(iii)

trinomial
Q-3 Any expression which has one or more terms with the variable having non-negative integers as an exponent is a ________.

(i)

monomial

(ii)

binomial

(iii)

polynomial
Q-4 The ________ method is a method in which you find the value of a unit and then the value of a required number of units.

(i)

unitary

(ii)

alternative

(iii)

none of these
Chapter-8   Percentage and its Applications
Q-1 Fill in the blanks:
(a) __________ means per hundred.
(b) The symbol for per cent is ____________.
(c) The loss and gain are always calculated on the ___________.
(d) The amount for which the product is sold is called the ________________.
Q-2 True or False:
(a) Gain on Rs.100 is called gain per cent.
(b) Loss on Rs.100 is called loss per cent.
(c) The overhead expenses like GST, labour charges, cartage, etc., are included in the cost price.
(d) The money borrowed is called the principal or the sum.
Q-3 One word answer:
(a) The total money paid by the borrower to the lender is.
(b) The additional money paid by the borrower to the lender for having used his money is.
(c) The duration for which the principal amount is given to someone.
(d) What is the formula of simple interest.
Multiple Choice Questions
Q-1 A percentage is a number or ratio that can be expressed as a fraction of ___________.

(i)

10

(ii)

100

(iii)

1000
Q-2 The word per cent means per ___________.

(i)

10

(ii)

100

(iii)

1000
Q-3 Percent is represented by the symbol _________.

(i)

-

(ii)

+

(iii)

%
Q-4 0.23 in percentage is ________.

(i)

2.3%

(ii)

23%

(iii)

230