Mathematics Class VIII

Rational Numbers

4 Topics | 3 Quizzes

Introduction – Rational Numbers

Properties of Rational Numbers

Representation of Rational Numbers on the Number Line

Rational Number between Two Rational Numbers

Concept Checkers – Rational Numbers – Class VIII

Practice Questions – Rational Numbers – Class VIII

Olympiad Questions – Rational Numbers – Class VIII

Linear Equations in One Variable

6 Topics | 3 Quizzes

Introduction – Linear Equation in One Variable

Linear Equation in One Variable

Some Important points related to Linear Equations

Applications of Linear Equation

Reducing Equations to Simpler Form

Equations Reducible to the Linear Form

Concept Checkers – Linear equations in one variable – Class VIII

Practice Questions – Linear equations in one variable – Class VIII

Olympiad Questions – Linear equations in one variable – Class VIII

Understanding Quadrilaterals

5 Topics | 3 Quizzes

Some of the Measures of the Exterior Angles of a Polygon

Kinds of Quadrilaterals

Some Special Parallelograms

Concept Checkers – Understanding quadrilaterals – Class VIII

Practice Questions – Understanding quadrilaterals – Class VIII

Olympiad Questions – Understanding Quadrilaterals – Class VIII

Practical Geometry

3 Topics

Constructing a Quadrilateral

Some Special Cases

Visualising Solid Shapes

3 Topics | 1 Quiz

View of 3D-Shapes

Faces, Edges and Vertices

Concept Checkers – Visualising Solid Shapes – Class VIII

5 Topics | 3 Quizzes

Introduction to Data Handling

Organising Data

Circle Graph or Pie Chart

Chance and Probability

Concept Checkers -Data Handling – Class VIII

Practice Questions -Data Handling – Class VIII

Olympiad Questions – Data Handling – Class VIII

Squares and Square Roots

4 Topics | 3 Quizzes

Properties of Square Numbers

Square Roots of Perfect Squares

FINDING SQUARE ROOTS BY Prime Factorization

Concept Checkers – Square and Square Roots – Class VIII

Practice Questions – Square and Square Roots – Class VIII

Olympiad Questions -Square and Square Roots – Class VIII

Cubes and Cube Roots

3 Topics | 3 Quizzes

Concept Checkers -Cubes and Cube roots – Class VIII

Practice Questions -Cubes and Cube roots – Class VIII

Olympiad Questions -Cubes and Cube roots – Class VIII

Comparing Quantities

6 Topics | 2 Quizzes

Recalling Ratios and Percentages

Finding the Increase and Decrease Percent

Finding Discounts

Terms Related to Buying and Selling (Profit and Loss)

Simple Interest and compound interest

The Formula for Compound Interest

Concept Checkers – Comparing Quantities – Class VIII

Olympiad Questions – Comparing Quantities – Class VIII

Algebraic Expressions and Identities

10 Topics | 3 Quizzes

What are Expressions?

Terms, Factors and Coefficients

Monomials, Binomials and Polynomials

Like and Unlike Terms

Addition and Subtraction of Algebraic Expressions

Multiplication of Algebraic Expressions: Introduction

Multiplying a Monomial by a Monomial

Multiplying a Monomial by a Polynomial

Multiplying a Polynomial by a Polynomial

What is an Identity?

Concept Checkers -Algebraic expression and identities – Class VIII

Practice Questions – Algebraic expressions and identities – Class VIII

Olympiad Questions – Algebraic expressions and identities – Class VIII

8 Topics | 3 Quizzes

Area of Trapezium

Area of General Quadrilateral

Area of Special Quadrilaterals (Rhombus)

Solid Shapes and Surface Area

Surface Area of Cube, Cuboid and Cylinder

Volume of Cube, Cuboid and Cylinder

Volume and Capacity

Concept Checkers -Mensuration – Class VIII

Practice Questions -Mensuration – Class VIII

Olympiad Questions – Mensuration – Class VIII

Exponents and Powers

4 Topics | 3 Quizzes

Powers with Negative Exponents

Laws of Exponents

Comparing Very Large and Very Small Numbers

Concept Checkers – Exponents and Powers – Class VIII

Practice Questions – Exponents and Powers – Class VIII

Olympiad Questions – Exponents and Powers – Class VIII

Direct and Inverse Proportions

3 Topics | 3 Quizzes

Direct Proportion

Inverse Proportion

Concept Checkers -Direct and inverse proportion – Class VIII

Practice Questions – Direct and inverse proportions – Class VIII

Olympiad Questions – Direct and inverse proportions – Class VIII

4 Topics | 3 Quizzes

Factors of Algebraic Expressions

Methods of Factorisation

Division of Algebraic Expressions

Concept Checkers – Factorization – Class VIII

Practice Questions – Factorization – Class VIII

Olympiad Questions – Factorization – Class VIII

Playing with Numbers

3 Topics | 3 Quizzes

Numbers in General Form

Letters for Digits

Divisibility Rules

Concept Checkers – Playing with numbers – Class VIII

Practice Questions – Playing with numbers – Class VIII

Olympiad Questions – Playing with numbers – Class VIII

Mock Test 1 – Class VIII

Mock Test 2 – Class VIII

Mock Test 3 – Class VIII

Practice Questions – Rational Numbers – Class VIII

Mathematics Class VIII Rational Numbers Practice Questions – Rational Numbers – Class VIII

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Question 1 of 20

1. Question
The multiplicative inverse of \(\dfrac{-2}{5}\) is
- \(\dfrac{-2}{5}\)
- \(\dfrac{-5}{2}\)
- \(\dfrac{5}{2}\)
- 1
Correct

Incorrect
Question 2 of 20

2. Question
How many rational numbers are there between any two given rational number?
- one
- two
- Infinite
- Nothing can be said
Correct

Incorrect
Question 3 of 20

3. Question
The rational number which is equal to the negative
- 0
- -1
- 1
- \(\dfrac{1}{2}\)
Correct

Incorrect
Question 4 of 20

4. Question
The reciprocal of a positive rational number is
- a positive rational number
- a negative rational number
- 0
- 1
Correct

Incorrect
Question 5 of 20

5. Question
What should be subtracted from \( \dfrac{-7}{11}\) to get -2?
- \(\dfrac{15}{11}\)
- \(\dfrac{-15}{11}\)
- \(\dfrac{29}{11}\)
- \(\dfrac{-29}{11}\)
Correct

Incorrect

Hint

$\dfrac{-7}{11}-x=-2, x=\dfrac{-7}{11}+2=\dfrac{-7+22}{11}=\dfrac{15}{11}$
Question 6 of 20

6. Question
Which of the following forms a pair of equivalent rational number?
- \(\dfrac{24}{40}\) and \(\dfrac{35}{50}\)
- \(\dfrac{-25}{35}\) and \(\dfrac{55}{-77}\)
- \(\dfrac{-8}{15}\) and \(\dfrac{-24}{48}\)
- \(\dfrac{9}{72}\) and \(\dfrac{-3}{21}\)
Correct

Incorrect

Hint

$\dfrac{-25}{35}=\dfrac{-5}{7}, \dfrac{55}{-77}=\dfrac{-55}{77}=\dfrac{-5}{7}$
Question 7 of 20

7. Question
___ is not associative for rational number
- Subtraction or division
- Addition or multiplication
- Addition or division
- Multiplication or division
Correct

Incorrect
Question 8 of 20

8. Question
Which of the following statement is true?
- Every fraction is a rational number
- Every rational number is a fraction
- Every integer is a rational number
- Both (a) and (c)
Correct

Incorrect
Question 9 of 20

9. Question
The value of \(\dfrac{1}{2}+\dfrac{1}{4}=\)
- \(\dfrac{3}{4}\)
- \(\dfrac{3}{2}\)
- \(\dfrac{2}{3}\)
- 1
Correct

Incorrect

Hint

$\dfrac{1}{2}+\dfrac{1}{4}=\dfrac{2+1}{4}=\dfrac{3}{4}$
Question 10 of 20

10. Question
The sum of the additive inverse and multiplicative inverse of 2 is
- \(\dfrac{3}{2}\)
- \(\dfrac{-3}{2}\)
- \(\dfrac{1}{2}\)
- \(\dfrac{-1}{2}\)
Correct

Incorrect

Hint

$-2+\dfrac{1}{2}=\dfrac{-4+1}{2}=\dfrac{-3}{2}$
Question 11 of 20

11. Question
Which of the following is the reciprocal of the reciprocal of a rational number?
- -1
- 1
- 0
- number itself
Correct

Incorrect
Question 12 of 20

12. Question
How is \(\dfrac{-28}{84}\) expressed as a rational number with numerator 4?
- \(\dfrac{-4}{12}\)
- \(\dfrac{4}{12}\)
- \(\dfrac{4}{12}\)
- \(\dfrac{4}{-7}\)
Correct

Incorrect

Hint

$\dfrac{-28\div(-7)}{84\div(-7)}=\dfrac{4}{-12}=\dfrac{-4}{12}$
Question 13 of 20

13. Question
The product of two rational number is \( \dfrac{-5}{48}\), If one is \(\dfrac{15}{56}\), find the other
- \(\dfrac{-18}{7}\)
- \(\dfrac{18}{7}\)
- \(\dfrac{9}{7}\)
- \(\dfrac{7}{9}\)
Correct

Incorrect

Hint

$\dfrac{15}{56}\div\left(\dfrac{-5}{48}\right)=\dfrac{15}{56}\times\dfrac{-48}{5}=\dfrac{-18}{7}$
Question 14 of 20

14. Question
Rajni had a certain amount of money in her purse. She spent \( \dfrac{41}{4}\) in the school canteen, bought a gift worth of \(\dfrac{103}{4}\) and gave \(\dfrac{33}{2}\) to her friend. How much money she have to begin with?
- \(\dfrac{105}{4}\)
- \(\dfrac{105}{2}\)
- 105
- 75
Correct

Incorrect

Hint

$\dfrac{41}{4}+\dfrac{103}{4}+\dfrac{33}{2}, \dfrac{41+103+66}{4}=\dfrac{210}{4}=\dfrac{105}{2}$
Question 15 of 20

15. Question
One third of a group of people are men. If the number of women is 200 more then the men find the total number of people
- 600
- 700
- 800
- 450
Correct

Incorrect

Hint

No. of women $=1-\dfrac{1}{3}=\dfrac{2}{3}$ , Difference $=\dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}$ , If the difference is $\dfrac{1}{3}$ , total number of people = 1, If difference is 200 then total people are $200\div \dfrac{1}{3}=200\times\dfrac{3}{1}=600$
Question 16 of 20

16. Question
Subbo spends \(\dfrac{1}{3}\) of his monthly earnings on rent, \(\dfrac{2}{5}\) on food and \(\dfrac{1}{10}\) on monthly usual what fractional part of his earnings is left ?
- \(\dfrac{1}{6}\)
- \(\dfrac{1}{5}\)
- \(\dfrac{1}{2}\)
- \(\dfrac{1}{4}\)
Correct

Incorrect

Hint

$1-\bigg[\dfrac{1}{3}+\dfrac{2}{5}+\dfrac{1}{10}\bigg]=1-\bigg[\dfrac{10+12+3}{30}\bigg], 1-\dfrac{25}{30}=\dfrac{5}{30}=\dfrac{1}{6}$
Question 17 of 20

17. Question
If \(\dfrac{3}{4}\) of a box of apples weights 3 kg and 225 gm, how much does a full box of apples weight?
- 4300 gm
- 4500 gm
- 4600 gm
- 5200 gm
Correct

Incorrect

Hint

$\dfrac{3}{4}$ of box weights = 3225 gm, $\dfrac{1}{4}$ of box weights $=\dfrac{3225}{3}=1075$ weight of box = 3225+1075=4300 gm
Question 18 of 20

18. Question
Mangalam buys a water jug of capacity \(\dfrac{19}{5}\) litres. If she buys another jug which is \(\dfrac{8}{3}\) times as large as the smaller jug, how many litres can the larger one hold?
- \(\dfrac{152}{15}l\)
- \(\dfrac{162}{15}l\)
- \(\dfrac{182}{15}l\)
- \(15 l\)
Correct

Incorrect

Hint

Capacity of jug $=\dfrac{19}{5}$ litres, Capacity of larger jug $=\dfrac{19}{5}\times\dfrac{8}{3}=\dfrac{152}{15}l$
Question 19 of 20

19. Question
A drum full of rice weights \(\dfrac{267}{6}kg\). If the empty drum weights \(\dfrac{30}{4}kg\), Find the weight of rice in the drum.
- \(38kg\)
- \(\dfrac{39}{2}kg\)
- \(20kg\)
- \(37kg\)
Correct

Incorrect

Hint

$\dfrac{267}{6}-\dfrac{30}{4}=\dfrac{1068-18}{24}=\dfrac{888}{24}=37$
Question 20 of 20

20. Question
Rajesh bought \(\dfrac{9}{4}kg\) of sand from the beach. He pours the sand in bottles. He pours \(\dfrac{3}{12}kg\) of the sand in each bottle. Find the maximum number of bottles Rajesh can pour the sand in?
- 9
- 10
- 16
- 8
Correct

Incorrect

Hint

$\dfrac{9}{4}\div\dfrac{3}{12}=\dfrac{9}{4}\times\dfrac{12}{3}=9$ bottles

Practice Questions - Rational Numbers - Class VIII

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