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 – Linear equations in one variable – Class VIII

Mathematics Class VIII Linear Equations in One Variable Practice Questions – Linear equations in one variable – Class VIII

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Question 1 of 20

1. Question
A number consists of two digits whose sum is 8. If 18 is added to the number its digits are reversed. Find the number.
- 53
- 35
- 45
- 62
Correct

Incorrect

Hint

Let one is digit be $x$
Ten is digit $=8-x$
Number $=10(8-x)+x=80-9x$
Number obtained by reversing the digit
$=10x+8-x=9x+8$
A/Q $80-9x+18=9x+8\\ \\ x=5$
Number $=80-9\times5=35$
Question 2 of 20

2. Question
Solve \(\dfrac{3x+5}{2x+7}=4\)
- \(\dfrac{25}{7}\)
- \(\dfrac{-23}{5}\)
- \(\dfrac{23}{5}\)
- 1
Correct

Incorrect

Hint

$3x+5=8x+28\\ \\ -5x=23\\ \\ x=\dfrac{-23}{5}$
Question 3 of 20

3. Question
Solve \(0.16(5x-2)=0.4x+7 \)
- \(x=18.3\)
- \(x=18\)
- \(x=1\)
- \(x=2\)
Correct

Incorrect

Hint

$0.16(5x-2)=0.4x+7\\ \\ 0.8x-0.32=0.4x+7\\ \\ 0.4x=7.32\\ \\ x=18.3$
Question 4 of 20

4. Question
The length of the rectangle exceeds its breadth by \(3\ cm\). If the length and breadth are each increased by \(2\ cm\), than the area will be \(70\ cm^2\). More than that of the given rectangle. The length is
- 15 m
- 18 m
- 19 m
- 17 m
Correct

Incorrect

Hint

Let breadth be $x\ cm$
length $=(x+3)\ cm$
Area $=x(x+3)$
$=x^2+3x$
New length $=x+3+2=(x+5)cm$
New breadth $=(x+2)cm$
New area $=(x+2)(x+5)$
$=x^2+2x+5x+10\\ \\ x^2+7x+10$
A/Q
$(x^2+7x+10)-(x^2+3x)=70\\ \\ 4x=60\\ \\ x=15$
Length $=15+3=18\ cm$
Question 5 of 20

5. Question
Divide 36 into two parts in such a way that \(\dfrac{1}{5}\) of one part is equal to \(\dfrac{1}{7}\) of the other
- 15, 21
- 12, 24
- 2, 34
- None of these
Correct

Incorrect

Hint

Let one part = x
other part = (36 – x)
$\dfrac{1}{5}x=\dfrac{1}{7}(36-x)\\ \\ \dfrac{x}{5}=\dfrac{36-x}{7}\\ \\ 7x=180-5x\\ \\ 12x=180\\ \\ x=15$
other part $= 36 - 15\\ \\ =21$
Question 6 of 20

6. Question
In a isoscales triangle, the base angles are equal and the vertex angles is \(80^o\). The base angles is
- \(50^o\)
- \(60^o\)
- \(25^o\)
- \(70^o\)
Correct

Incorrect

Hint

$x+x+80=180^o\\ \\ 2x=100^o\\ \\ x=50^o$
Question 7 of 20

7. Question
The difference between the two numbers is 48. The ratio of the two numbers is 7 : 3. What are the two numbers?
- 20, 68
- 84, 36
- 50, 98
- None of these
Correct

Incorrect

Hint

$7x-3x=48\\ \\ 4x=48\\ \\ x=12\\ \\ 7x=7\times12=84\\ \\ 3x=3\times12=36$
Question 8 of 20

8. Question
The length of a rectangle is twice its breadth. If the perimeterr is 72 meter. The length is
- 12 m
- 10 m
- 24 m
- 36 m
Correct

Incorrect

Hint

$2\times(x+2x)=72\\ \\ 2\times3x=72\\ \\ 6x=72\\ \\ x=12\\ \\ \tex{length}=2\times12=24\ m$
Question 9 of 20

9. Question
Aorahan is 5 years younger than Rahul four years later, Rohan will be twice a old as Aorahan. The present age of Rahul is
- 6
- 5
- 10
- 4
Correct

Incorrect

Hint

Let Rahul’s percentage $= x$
Aorahan $=x-5$
A/Q
$x+4=2(x-5+4)\\ \\ x+4=2x-2\\ \\ x-2x=-6\\ \\ -x=-6\\ \\ x=6$
Question 10 of 20

10. Question
A number is divided into two parts such that one part is 10 more than the other. If the two parts are in the ratio 5 :3. The number is
- 40
- 50
- 80
- 100
Correct

Incorrect

Hint

$\dfrac{x+10}{x}=\dfrac{5}{3}\\ \\ 3x+30=5x\\ \\ 2x=30\\ \\ x=15\\ \\ x+10=15+10=25\\ \\ \text{Number is} 25+15=40$
Question 11 of 20

11. Question
The sum of two consecutive multiples of 5 is 55. The multiples are
- 25, 30
- 5, 10
- 15, 20
- 20, 25
Correct

Incorrect

Hint

Let the multiples $= x,\ x+5$
A/Q
$x+x+5=55\\ \\ 2x+5=55\\ \\ x=25$
Question 12 of 20

12. Question
The difference in the measures of two complementry angles is 12. The angles are
- 39, 51
- 38, 52
- 37, 53
- 50, 40
Correct

Incorrect

Hint

$(90-x)-x=12\\ \\ 90-2x=12\\ \\ -2x=-78\\ \\ x=39\\ \\ 90-x=90-39=51$
Question 13 of 20

13. Question
If \(\dfrac{3}{5}th\) of a number is 4 more than \(\dfrac{1}{2}\) of the number. The number is
- 30
- 40
- 50
- 60
Correct

Incorrect

Hint

$\dfrac{3x}{5}-\dfrac{x}{2}=4\\ \\ \dfrac{6x-5x}{10}=4\\ \\ x=40$
Question 14 of 20

14. Question
The sum of the two numbers is 25 one of the numbers exceed the other by 9. The numbers are
- 8, 17
- 9, 19
- 10, 15
- 12, 13
Correct

Incorrect

Hint

$x+x+9=25\\ \\ 2x+9=25\\ \\ x=8\\ \\ x+9=8+9=17$
Question 15 of 20

15. Question
A number is 12 more than the other. The numberr are if their sum is 48
- 18, 30
- 19, 29
- 20, 28
- 21, 27
Correct

Incorrect

Hint

$x+x+12=48\\ \\ 2x+12=48\\ \\ x=18\\ \\ x+12=18+12\\ \\ =30$
Question 16 of 20

16. Question
A sum of Rs 2700 is to be given in the form of 63 prizes . if the prize is of either of Rs 100 or Rs 25. The number of prizes of each type are
- 15, 48
- 3, 60
- 4, 59
- 5, 58
Correct

Incorrect

Hint

Let x be the type of prize Rs. 100. So Rs. 25 type will be (63-x)
$100\times x+25\times(63-x)=2700\\ \\ 100x+1575-25x=2700\\ \\ 75x=1125\\ \\ x=15$
So, 15 for Rs. 100 type prize and 48 Rs. 25 type prizes are present
Question 17 of 20

17. Question
Fifteen years from now Ravi’s age will be 4 times his current age. What is his current age?
- 4 years
- 5 years
- 6 years
- 3 years
Correct

Incorrect

Hint

$x+15=4x\\ \\ 3x=15\\ \\ x=3$
Question 18 of 20

18. Question
The sum of three consecutive multiples of 8 is 888. The multiples are
- 288, 296, 304
- 36, 37, 38
- 16, 24, 32
- None of these
Correct

Incorrect

Hint

$x+x+8+x+16=888\\ \\ 3x=864\\ \\ x=288$
Question 19 of 20

19. Question
Solve \( \dfrac{x+1}{4}=\dfrac{x-2}{2}\)
- 5
- 6
- 7
- 8
Correct

Incorrect

Hint

$2x+2=4x-8\\ \\ -2x=-10\\ \\ x=5$
Question 20 of 20

20. Question
Solve \(\dfrac{3x}{2}-\dfrac{x}{3}=8\)
- \(\dfrac{48}{7}\)
- \(\dfrac{45}{7}\)
- 1
- 0
Correct

Incorrect

Hint

$\dfrac{9x-2x}{6}=8\\ \\ 7x=48\\ \\ x=\dfrac{48}{7}$

Practice Questions - Linear equations in one variable - Class VIII

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