Question Bank-Maths Wizard Class-8

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.

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

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

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

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?

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

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?

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

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?

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

Chapter-6 Factorisation of Algebraic Expressions

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?

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

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?

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

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?

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

Chapter-9 Compound Interest

Q-1 Fill in the blanks:

(a)

When time is given in months, we convert it in to year by dividing it by ___________.
(b)

The duration for which the interest is calculated is called the __________ period.
(c)

The conversion period is ______ year.

Q-2 True or False:

(a)

When the interest is added to the principal at the end of each year, we say that the interest is compounded annually.
(b)

Compound Interest is calculated on accumpulated interest and principal interest.
(c)

Simple interest original amount deposited or borrowed.

Q-3 One word answer:

(a)

It is calculated on principal at fixed rate of interest and time.
(b)

It is calculated on accumpulated interest and principal interest.
(c)

Sum of principal and simple interest.

Multiple Choice Questions

Q-1 The money borrowed or lent is called _________.

(i)
principal
(ii)
interest
(iii)
rate

Q-2 The person from whom the money is borrowed is called the __________.

(i)
lender
(ii)
borrower
(iii)
none of these

Q-3 The person who borrows the money is called the __________.

(i)
lender
(ii)
borrower
(iii)
none of these

Q-4 When time is given in days, we convert it in to year by dividing it by _______.

(i)
24
(ii)
365
(iii)
366

Chapter-10 Percentage and Its Applications

Q-1 Fill in the blanks:

(a)

Percentages, Fractions and Decimals are __________ to each other.
(b)

______ can be written as 20/100.
(c)

To convert a fraction into a percent, we multiply the fraction by _______.

Q-2 True or False:

(a)

35% can be written as 35/100 or 7/20.
(b)

25/100 is the fraction of 25%.
(c)

15% of 100 is 12.

Q-3 One word answer:

(a)

What is the 20% of 200?
(b)

What is the 13% of 100?
(c)

What is the 10% of 2000?

Multiple Choice Questions

Q-1 The term percent means per __________ or for every hundred.

(i)
hundred
(ii)
thousand
(iii)
million

Q-2 ___________ is always calculated on the marked price of the item.

(i)
Discount
(ii)
Interest
(iii)
none of these

Q-3 Sales tax is paid in a state to the respective ________ government.

(i)
central
(ii)
union
(iii)
state

Q-4 The prices of the articles include the tax, called _______.

(i)
sales tax
(ii)
VAT
(iii)
none of these

Chapter-11 Practical Geometry (Construction)

Q-1 Fill in the blanks:

(a)

Which of the following lies between 0 and –1 on a number line?
(b)

How many measurements are necessary to construct a quadrilateral uniquely?
(c)

How many diagonals are there in a hexagon?

Q-2 True or False:

(a)

The sum of all interior angles of a regular hexagon is 7200.
(b)

A pentagon has four diagonals.
(c)

The sum of interior angles of a quadrilateral is 360°.

Multiple Choice Questions

Q-1 Quadrilaterals are constructed by splitting up the figure into two __________.

(i)
rectangles
(ii)
triangles
(iii)
circles

Q-2 A quadrilateral has __________ parts in all.

(i)
six
(ii)
eight
(iii)
ten

Q-3 A quadrilateral has ________ angles.

(i)
three
(ii)
four
(iii)
five

Chapter-12 Mensuration

Q-1 Fill in the blanks:

(a)

Octagon has _________ sides.
(b)

A regular polygon has all its sides and angles _________.
(c)

A triangle has _________ sides.

Q-2 True or False:

(a)

A rectangle has four sides.
(b)

A square has four sides.
(c)

A hexagon has six sides.

Q-3 One word answer:

(a)

What fits directly to a circle?
(b)

In how many equilateral triangles can regular hexagon be divided?
(c)

Write the formula of surface area of a cube.

Multiple Choice Questions

Q-1 A plane figure having three or more sides is called a ___________.

(i)
rectangle
(ii)
polygon
(iii)
square

Q-2 A triangle has _______ sides.

(i)
two
(ii)
three
(iii)
four

Q-3 A regular polygon has all its sides and angles ________.

(i)
equal
(ii)
unequal
(iii)
none of these

Chapter-13 Direct and Inverse Variations

Q-1 Fill in the blanks:

(a)

2 pencils cost Rs. 8 then 4 pencils will cost Rs. __________.
(b)

There are ______ types of variations.
(c)

x/y is always a _______ number.

Q-2 True or False:

(a)

x/y or k is called the constant of variation.
(b)

There are 1000X1000 cubic metres in 1 litre.
(c)

Speed is the ratio of time and velocity.

Q-3 One word answer:

(a)

If 40 metres of a cloth costs Rs. 1940. How many metres can be bought for Rs. 727.5?
(b)

A shopkeeper has just enough money to buy 52 cycles worth Rs. 525 each. If each cycle were to cost Rs. 21 more than the amount he has, how many cycles would he be able to buy?

Multiple Choice Questions

Q-1 There are two types of variations : _________________.

(i)
Direct and Indirect
(ii)
Direct and Inverse
(iii)
both of these

Q-2 x/y is always a ____________ number.

(i)
positive
(ii)
negative
(iii)
constant

Q-3 x/y or k is called the _________ of variation.

(i)
constant
(ii)
positive
(iii)
negative

Q-4 how many types of variation are there.

(i)
2
(ii)
3
(iii)
4

Chapter-14 Playing with Numbers

Q-1 Fill in the blanks:

(a)

A two-digit number 10a + b is divisible by _______ if ‘b’ is either 0 or 5.
(b)

A number is divisible by 2 if its last digit is ________.
(c)

A three-digit number 100a + b + c is divisible by ___________, if ‘c’ is divisible by 5.

Q-2 True or False:

(a)

A number is divisible by 3, if the sum of its digits is not divisible by 3.
(b)

A number is divisible by 9 if the sum of its digits is not divisible by 9.
(c)

A number divisible by 9 is also divisible by 3.

Q-3 One word answer:

(a)

Can the first digit of a number be zero?
(b)

Is 20 divisible by 10?
(c)

Is 53 divisible by 2?

Multiple Choice Questions

Q-1 A _____________ is said to be in a generalised form.

(i)
number
(ii)
digit
(iii)
units

Q-2 A number divisible by 9 is also divisible by ________.

(i)
4
(ii)
3
(iii)
5

Q-3 Each letter (alphabets) in a ___________ must stand for just one digit.

(i)
number
(ii)
puzzle
(iii)
digit

Chapter-15 Data Handling

Q-1 Fill in the blanks:

(a)

The word data means _________.
(b)

The collection of all the observation is called __________.
(c)

__________ is the science which deals with the collection, presentation, analysis and interpretation of numerical data.

Q-2 True or False:

(a)

Frequency distribution is of two types.
(b)

Frequency is the number of times a particular event occurs.
(c)

Data can be arranged and presented by grouped frequency distribution.

Q-3 One word answer:

(a)

In what, there is no gap?
(b)

What shows the relationship between a whole and its parts?

Multiple Choice Questions

Q-1 We need information in the form of __________ figures.

(i)
numerical
(ii)
alphabetical order
(iii)
raw order

Q-2 The collection of all the observation is called __________.

(i)
rat data
(ii)
statistical data
(iii)
data

Q-3 Each numericals fact of this types is known as an _____________.

(i)
data
(ii)
observation
(iii)
numerical observations

Q-4 It is the science which deals with the collection, presentation, analysis and interpretation of ____________.

(i)
numerical data
(ii)
statistical data
(iii)
none of these

Chapter-16 Probability

Q-1 Fill in the blanks:

(a)

_________ means the chance of happening of certain things in uncertain circumstances.
(b)

The situation of __________ can be estimated numerically by means of probability.
(c)

An experiment is called a ___________ experiment if all its possible outcomes are known but the result cannot be predicted in advance.

Q-2 True or False:

(a)

An event is one or more outcomes of an experiment.
(b)

Getting number 3 when a dice is rolled is not an event.
(c)

An outcome is the result of a single trial or event of an experiment.

Q-3 One word answer:

(a)

What is the collection of all possible outcomes of a random experiment called?
(b)

Sample space is denoted by ________.
(c)

How many possible outcomes are there, when a dice is rolled?

Multiple Choice Questions

Q-1 Probability means the chance of happening of certain things in uncertain ______________.

(i)
circumstances
(ii)
uncertainty
(iii)
situation

Q-2 An event is one or more outcomes of an _____________.

(i)
collection
(ii)
experiment
(iii)
none of these

Q-3 An experiment is called a ____________ experiment.

(i)
Event
(ii)
Probability
(iii)
random

Q-4 The collection of all possible outcomes of a random experiment is called its _____________.

(i)
sample space
(ii)
random space
(iii)
event space

Chapter-17 Introduction to Graphs

Q-1 Fill in the blanks:

(a)

The distance OM of the point P from the y-axis is called x-coordinate or _______.
(b)

The distance PM of the point P from the x-axis is called the y-coordinate or _________.
(c)

The coordinate axes divide the plane of the graph paper into four regions, called _____________.

Q-2 True or False:

(a)

The coordinates of the origin obviously are (o, o).
(b)

Point (-2,4) lies in 2nd quadrant.
(c)

Point (3,5) lies in 1st quadrant.

Multiple Choice Questions

Q-1 Pictorial and ___________ representations are easier to understand.

(i)
graphical
(ii)
Coordinate Axes
(iii)
origin

Q-2 The plane of the paper containing both the coordinate axes is called the _____________.

(i)
Coordinate Axes
(ii)
Cartesian plane
(iii)
ordinate plane

Q-3 For fixing a point on the graph sheet we take two mutually perpendicular lines called _________.

(i)
origin
(ii)
axis
(iii)
axes