Math for Grade 8 (Quick Topics) | Math Practice, Tests, Worksheets, Quizzes, Assignments

Rational Numbers

Sample Question

What is the lowest form of the rational number
16
28
?

A.
16
7

B.
8
14

C.
4
7

D.
4
28

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Linear Equations of One Variable

Sample Question

2
6
of a number when multiplied by
6
10
of the same number make 125. What is the number?

A. 25

B. 20

C. 27

D. 30

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Understanding Quadrilaterals

Sample Question

Look at the figure given below:

Find the value of angle ^@x.^@

A.
^@ 155^\circ ^@

B.
^@ 125^\circ ^@

C.
^@ 165^\circ ^@

D.
^@140^\circ^@

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Square and Square Roots

Sample Question

Find the square root of ^@35.69^@ by long division method.(Upto ^@2^@ decimal places)

A.
^@ 6.14 ^@

B.
^@ 5.97 ^@

C.
^@ 6.06 ^@

D.
^@ 6.38 ^@

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Cubes and Cube Root

Sample Question

Which of the following numbers is not a perfect cube?

A. 2000

B. 2197

C. 729

D. 343

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Comparing Quantities

Sample Question

If a rhombus is re-shaped such that one of its diagonal increases by 2%, while other diagonal decreases by 2%. Find the percentage change in the area of rhombus.

A. 0.04% increase

B. 4% decrease

C. 0.04% decrease

D. 0.4% decrease

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Algebraic Expressions and Identities

Sample Question

Find the sum of all possible values of ^@ a ^@ such that the following equation has real root in ^@ x: ^@
^@ (x-a)^2 + (x^2 -4 x + 3 )^2 = 0 ^@

A.
^@ 8 ^@

B.
^@ 4 ^@

C.
^@ 13 ^@

D.
^@ 3 ^@

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Visualizing Solid Shapes

Sample Question

There are two squares, and the ratio of their perimeters is 6:11. If the area of the first square is 324 cm², then what is the area of the second one?

A. 1088 cm²

B. 1089 cm²

C. 1024 cm²

D. 1156 cm²

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New Worksheet

New Online Test

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Mensuration

Sample Question

Two neighbours have adjoining houses as shown below. The houses are fenced with one common side.
If the cost of fencing is €55.40 per meter, find the total cost of fencing both the houses.

A. €8688.30

B. €8838.40

C. €8642.40

D. €8625.20

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New Worksheet

New Online Test

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Exponents and Powers

Sample Question

(2.6 × 10²⁹) × (4 × 10²³) = ?

A. 1.04 × 10⁵²

B. 1.04 × 10⁵⁴

C. 10.4 × 10⁵³

D. 1.04 × 10⁵³

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New Worksheet

New Online Test

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Direct and Inverse Proportions

Sample Question

Two numbers are in the ratio 1:5. If each number is increased by 14, the ratio becomes 5:11. What are the numbers?

A. 12, 33

B. 16, 31

C. 8, 32

D. 6, 30

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New Worksheet

New Online Test

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Factorisation

Sample Question

Factorize (49z² - 4).

A. (z + 1) (49z - 4)

B. (7z - 2) (7z - 2)

C. (7z + 2) (7z - 2)

D. (z - 1) (49z + 4)

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Introduction to Graphs

Sample Question

If you plot following set of points on a graph, which set of points will not form a straight line?

A. (2,3) (3,4) (4,5) (6,7)

B. (0,1) (1,2) (2,3) (4,5) (5,6)

C. (1,3) (2,4) (4,6) (6,8)

D. (1,2) (3,3) (4,5) (6,7) (7,8)

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Playing with Numbers

Sample Question

Find the value of A from following summation.

A 7
+ 5 B
1 4 A

A. 0

B. 7

C. 9

D. 1

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Full Year 8th Grade Review

Sample Question

There are 28 students in a class, out of which 8 are girls. If a teacher randomly picks a student, what is the probability that the student picked is a boy?

A.
7
20

B.
12
28

C.
20
28

D.
5
28

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New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Profit-Loss and Discounts

Sample Question

Find the single discount equivalent to two successive discounts of ^@ 30 \% ^@ and ^@ 20 \%. ^@

A.
^@ 44 \% ^@

B.
^@50 \% ^@

C.
^@55 \% ^@

D.
^@35 \% ^@

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New Worksheet

New Online Test

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Simple Interest

Sample Question

How long will it take for an amount to become 4 times of itself at 5% per annum simple interest?

A. 61 years

B. 59 years

C. 60 years

D. 62 years

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New Online Test

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Compound Interest

Sample Question

At what rate percent per annum will a sum of ^@€ 90000 ^@ amount to ^@ € 114921 ^@ in ^@ 2 ^@ years, compounded annually ^@?^@

A.
^@ 12 \% ^@

B.
^@ 13 \% ^@

C.
^@ 16 \% ^@

D.
^@ 18 \% ^@

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New Worksheet

New Online Test

Unlimited Online Practice

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Multiplication of Polynomials

Sample Question

Find product of following polynomials:
( -5y² + y - 2) and ( -2y² + 2y + 5)

A. 10y⁴ - 12y³ - 19y² + y - 10

B. 10y⁴ - 12y³ + 19y² + y - 10

C. 10y⁴ - 12y³ - 19y² - y - 10

D. -10y⁴ - 12y³ - 19y² + y - 10

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New Online Test

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Division of Polynomials

Sample Question

Divide ^@ -18x^ { 3 }-18x^ { 2 }-40x-64 ^@ by ^@ 3x^ { 2 }-x + 8 ^@.

A.
^@x^ { 2 }-x-9^@

B.
^@x-6^@

C.
^@x^ { 2 } + 4x + 4^@

D.
^@-6x-8^@

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Data Handling-Probability Statistics

Sample Question

A die is thrown ^@ 800 ^@ times and the outcomes are noted as given below.

^@Outcome^@ ^@1^@ ^@2^@ ^@3^@ ^@4^@ ^@5^@ ^@6^@

^@Frequency^@ ^@200^@ ^@200^@ ^@120^@ ^@80^@ ^@160^@ ^@40^@

If a die is thrown at random, what is the probability of getting ^@1^@?

A.
^@ 1 ^@

B.
^@ 0.1 ^@

C.
^@ 0.15 ^@

D.
^@ 0.25 ^@

^@Outcome^@	^@1^@	^@2^@	^@3^@	^@4^@	^@5^@	^@6^@
^@Frequency^@	^@200^@	^@200^@	^@120^@	^@80^@	^@160^@	^@40^@

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Logical Reasoning

Sample Question

An express train from Paris to London runs every 5^th day. If the train went on Monday, after how many days will the train run on a Friday?

A. 21 days

B. 24 days

C. 25 days

D. 27 days

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Grade 8 Math

Rational Numbers

Sample Question

What is the lowest form of the rational number
16
28
?

A.
16
7

B.
8
14

C.
4
7

D.
4
28

Linear Equations of One Variable

Sample Question

2
6
of a number when multiplied by
6
10
of the same number make 125. What is the number?

A. 25

B. 20

C. 27

D. 30

Understanding Quadrilaterals

Sample Question

Look at the figure given below:

Find the value of angle ^@x.^@

A.
^@ 155^\circ ^@

B.
^@ 125^\circ ^@

C.
^@ 165^\circ ^@

D.
^@140^\circ^@

Square and Square Roots

Sample Question

Find the square root of ^@35.69^@ by long division method.(Upto ^@2^@ decimal places)

A.
^@ 6.14 ^@

B.
^@ 5.97 ^@

C.
^@ 6.06 ^@

D.
^@ 6.38 ^@

Cubes and Cube Root

Sample Question

Which of the following numbers is not a perfect cube?

A. 2000

B. 2197

C. 729

D. 343

Comparing Quantities

Sample Question

If a rhombus is re-shaped such that one of its diagonal increases by 2%, while other diagonal decreases by 2%. Find the percentage change in the area of rhombus.

A. 0.04% increase

B. 4% decrease

C. 0.04% decrease

D. 0.4% decrease

Algebraic Expressions and Identities

Sample Question

Find the sum of all possible values of ^@ a ^@ such that the following equation has real root in ^@ x: ^@
^@ (x-a)^2 + (x^2 -4 x + 3 )^2 = 0 ^@

A.
^@ 8 ^@

B.
^@ 4 ^@

C.
^@ 13 ^@

D.
^@ 3 ^@

Visualizing Solid Shapes

Sample Question

There are two squares, and the ratio of their perimeters is 6:11. If the area of the first square is 324 cm², then what is the area of the second one?

A. 1088 cm²

B. 1089 cm²

C. 1024 cm²

D. 1156 cm²

Mensuration

Sample Question

Two neighbours have adjoining houses as shown below. The houses are fenced with one common side.
If the cost of fencing is €55.40 per meter, find the total cost of fencing both the houses.

A. €8688.30

B. €8838.40

C. €8642.40

D. €8625.20

Exponents and Powers

Sample Question

(2.6 × 10²⁹) × (4 × 10²³) = ?

A. 1.04 × 10⁵²

B. 1.04 × 10⁵⁴

C. 10.4 × 10⁵³

D. 1.04 × 10⁵³

Direct and Inverse Proportions

Sample Question

Two numbers are in the ratio 1:5. If each number is increased by 14, the ratio becomes 5:11. What are the numbers?

A. 12, 33

B. 16, 31

C. 8, 32

D. 6, 30

Factorisation

Sample Question

Factorize (49z² - 4).

A. (z + 1) (49z - 4)

B. (7z - 2) (7z - 2)

C. (7z + 2) (7z - 2)

D. (z - 1) (49z + 4)

Introduction to Graphs

Sample Question

If you plot following set of points on a graph, which set of points will not form a straight line?

A. (2,3) (3,4) (4,5) (6,7)

B. (0,1) (1,2) (2,3) (4,5) (5,6)

C. (1,3) (2,4) (4,6) (6,8)

D. (1,2) (3,3) (4,5) (6,7) (7,8)

Playing with Numbers

Sample Question

Find the value of A from following summation.

A 7
+ 5 B
1 4 A

A. 0

B. 7

C. 9

D. 1

Full Year 8th Grade Review

Sample Question

There are 28 students in a class, out of which 8 are girls. If a teacher randomly picks a student, what is the probability that the student picked is a boy?

A.
7
20

B.
12
28

C.
20
28

D.
5
28

Profit-Loss and Discounts

Sample Question

Find the single discount equivalent to two successive discounts of ^@ 30 \% ^@ and ^@ 20 \%. ^@

A.
^@ 44 \% ^@

B.
^@50 \% ^@

C.
^@55 \% ^@

D.
^@35 \% ^@

Simple Interest

Sample Question

How long will it take for an amount to become 4 times of itself at 5% per annum simple interest?

A. 61 years

B. 59 years

C. 60 years

D. 62 years

Compound Interest

Sample Question

At what rate percent per annum will a sum of ^@€ 90000 ^@ amount to ^@ € 114921 ^@ in ^@ 2 ^@ years, compounded annually ^@?^@

A.
^@ 12 \% ^@

B.
^@ 13 \% ^@

C.
^@ 16 \% ^@

D.
^@ 18 \% ^@

Multiplication of Polynomials

Sample Question

Find product of following polynomials:
( -5y² + y - 2) and ( -2y² + 2y + 5)

A. 10y⁴ - 12y³ - 19y² + y - 10

B. 10y⁴ - 12y³ + 19y² + y - 10

C. 10y⁴ - 12y³ - 19y² - y - 10

D. -10y⁴ - 12y³ - 19y² + y - 10

Division of Polynomials

Sample Question

Divide ^@ -18x^ { 3 }-18x^ { 2 }-40x-64 ^@ by ^@ 3x^ { 2 }-x + 8 ^@.

A.
^@x^ { 2 }-x-9^@

B.
^@x-6^@

C.
^@x^ { 2 } + 4x + 4^@

D.
^@-6x-8^@

Logical Reasoning

Sample Question

An express train from Paris to London runs every 5^th day. If the train went on Monday, after how many days will the train run on a Friday?

A. 21 days

B. 24 days

C. 25 days

D. 27 days

A.	^@ 155^\circ ^@
B.	^@ 125^\circ ^@
C.	^@ 165^\circ ^@
D.	^@140^\circ^@

A.	0.04% increase
B.	4% decrease
C.	0.04% decrease
D.	0.4% decrease

A.	1.04 × 10⁵²
B.	1.04 × 10⁵⁴
C.	10.4 × 10⁵³
D.	1.04 × 10⁵³

A.	(z + 1) (49z - 4)
B.	(7z - 2) (7z - 2)
C.	(7z + 2) (7z - 2)
D.	(z - 1) (49z + 4)

A.	(2,3) (3,4) (4,5) (6,7)
B.	(0,1) (1,2) (2,3) (4,5) (5,6)
C.	(1,3) (2,4) (4,6) (6,8)
D.	(1,2) (3,3) (4,5) (6,7) (7,8)

A.	10y⁴ - 12y³ - 19y² + y - 10
B.	10y⁴ - 12y³ + 19y² + y - 10
C.	10y⁴ - 12y³ - 19y² - y - 10
D.	-10y⁴ - 12y³ - 19y² + y - 10

A.	^@x^ { 2 }-x-9^@
B.	^@x-6^@
C.	^@x^ { 2 } + 4x + 4^@
D.	^@-6x-8^@

Grade 8 Math

Rational Numbers Sample Question What is the lowest form of the rational number 1628 ? A. 167 B. 814 C. 47 D. 428

Linear Equations of One Variable Sample Question 26 of a number when multiplied by 610 of the same number make 125. What is the number? A.25 B.20 C.27 D.30

Understanding Quadrilaterals Sample Question Look at the figure given below: Find the value of angle ^@x.^@ A.^@ 155^\circ ^@ B.^@ 125^\circ ^@ C.^@ 165^\circ ^@ D. ^@140^\circ^@

Square and Square Roots Sample Question Find the square root of ^@35.69^@ by long division method.(Upto ^@2^@ decimal places) A.^@ 6.14 ^@ B.^@ 5.97 ^@ C.^@ 6.06 ^@ D.^@ 6.38 ^@

Cubes and Cube Root Sample Question Which of the following numbers is not a perfect cube? A.2000 B.2197 C.729 D.343

Comparing Quantities Sample Question If a rhombus is re-shaped such that one of its diagonal increases by 2%, while other diagonal decreases by 2%. Find the percentage change in the area of rhombus. A.0.04% increase B.4% decrease C.0.04% decrease D.0.4% decrease

Algebraic Expressions and Identities Sample Question Find the sum of all possible values of ^@ a ^@ such that the following equation has real root in ^@ x: ^@ ^@ (x-a)^2 + (x^2 -4 x + 3 )^2 = 0 ^@ A. ^@ 8 ^@ B. ^@ 4 ^@ C. ^@ 13 ^@ D. ^@ 3 ^@

Visualizing Solid Shapes Sample Question There are two squares, and the ratio of their perimeters is 6:11. If the area of the first square is 324 cm2, then what is the area of the second one? A.1088 cm2 B.1089 cm2 C.1024 cm2 D.1156 cm2

Mensuration Sample Question Two neighbours have adjoining houses as shown below. The houses are fenced with one common side. If the cost of fencing is €55.40 per meter, find the total cost of fencing both the houses. A.€8688.30 B.€8838.40 C.€8642.40 D.€8625.20

Exponents and Powers Sample Question (2.6 × 1029) × (4 × 1023) = ? A.1.04 × 1052 B.1.04 × 1054 C.10.4 × 1053 D.1.04 × 1053

Direct and Inverse Proportions Sample Question Two numbers are in the ratio 1:5. If each number is increased by 14, the ratio becomes 5:11. What are the numbers? A.12, 33 B.16, 31 C.8, 32 D.6, 30

Factorisation Sample Question Factorize (49z2 - 4). A.(z + 1) (49z - 4) B.(7z - 2) (7z - 2) C.(7z + 2) (7z - 2) D.(z - 1) (49z + 4)

Introduction to Graphs Sample Question If you plot following set of points on a graph, which set of points will not form a straight line? A.(2,3) (3,4) (4,5) (6,7) B.(0,1) (1,2) (2,3) (4,5) (5,6) C.(1,3) (2,4) (4,6) (6,8) D.(1,2) (3,3) (4,5) (6,7) (7,8)

Playing with Numbers Sample Question Find the value of A from following summation. A 7 + 5 B 1 4 A A.0 B.7 C.9 D.1

Full Year 8th Grade Review Sample Question There are 28 students in a class, out of which 8 are girls. If a teacher randomly picks a student, what is the probability that the student picked is a boy? A. 720 B. 1228 C. 2028 D. 528

Profit-Loss and Discounts Sample Question Find the single discount equivalent to two successive discounts of ^@ 30 \% ^@ and ^@ 20 \%. ^@ A. ^@ 44 \% ^@ B. ^@50 \% ^@ C. ^@55 \% ^@ D. ^@35 \% ^@

Simple Interest Sample Question How long will it take for an amount to become 4 times of itself at 5% per annum simple interest? A.61 years B.59 years C.60 years D.62 years

Compound Interest Sample Question At what rate percent per annum will a sum of ^@€ 90000 ^@ amount to ^@ € 114921 ^@ in ^@ 2 ^@ years, compounded annually ^@?^@ A.^@ 12 \% ^@ B.^@ 13 \% ^@ C.^@ 16 \% ^@ D.^@ 18 \% ^@

Multiplication of Polynomials Sample Question Find product of following polynomials:( -5y2 + y - 2) and ( -2y2 + 2y + 5) A.10y4 - 12y3 - 19y2 + y - 10 B.10y4 - 12y3 + 19y2 + y - 10 C.10y4 - 12y3 - 19y2 - y - 10 D. -10y4 - 12y3 - 19y2 + y - 10

Division of Polynomials Sample Question Divide ^@ -18x^ { 3 }-18x^ { 2 }-40x-64 ^@ by ^@ 3x^ { 2 }-x + 8 ^@. A.^@x^ { 2 }-x-9^@ B.^@x-6^@ C.^@x^ { 2 } + 4x + 4^@ D.^@-6x-8^@

Logical Reasoning Sample Question An express train from Paris to London runs every 5th day. If the train went on Monday, after how many days will the train run on a Friday? A.21 days B.24 days C.25 days D.27 days

Rational Numbers

Sample Question

What is the lowest form of the rational number
16
28
?

A.
16
7

B.
8
14

C.
4
7

D.
4
28

Linear Equations of One Variable

Sample Question

2
6
of a number when multiplied by
6
10
of the same number make 125. What is the number?

A. 25

B. 20

C. 27

D. 30

Understanding Quadrilaterals

Sample Question

Look at the figure given below:

Find the value of angle ^@x.^@

A.
^@ 155^\circ ^@

B.
^@ 125^\circ ^@

C.
^@ 165^\circ ^@

D.
^@140^\circ^@

Square and Square Roots

Sample Question

Find the square root of ^@35.69^@ by long division method.(Upto ^@2^@ decimal places)

A.
^@ 6.14 ^@

B.
^@ 5.97 ^@

C.
^@ 6.06 ^@

D.
^@ 6.38 ^@

Cubes and Cube Root

Sample Question

Which of the following numbers is not a perfect cube?

A. 2000

B. 2197

C. 729

D. 343

Comparing Quantities

Sample Question

If a rhombus is re-shaped such that one of its diagonal increases by 2%, while other diagonal decreases by 2%. Find the percentage change in the area of rhombus.

A. 0.04% increase

B. 4% decrease

C. 0.04% decrease

D. 0.4% decrease

Algebraic Expressions and Identities

Sample Question

Find the sum of all possible values of ^@ a ^@ such that the following equation has real root in ^@ x: ^@
^@ (x-a)^2 + (x^2 -4 x + 3 )^2 = 0 ^@

A.
^@ 8 ^@

B.
^@ 4 ^@

C.
^@ 13 ^@

D.
^@ 3 ^@

Visualizing Solid Shapes

Sample Question

There are two squares, and the ratio of their perimeters is 6:11. If the area of the first square is 324 cm², then what is the area of the second one?

A. 1088 cm²

B. 1089 cm²

C. 1024 cm²

D. 1156 cm²

Mensuration

Sample Question

Two neighbours have adjoining houses as shown below. The houses are fenced with one common side.
If the cost of fencing is €55.40 per meter, find the total cost of fencing both the houses.

A. €8688.30

B. €8838.40

C. €8642.40

D. €8625.20

Exponents and Powers

Sample Question

(2.6 × 10²⁹) × (4 × 10²³) = ?

A. 1.04 × 10⁵²

B. 1.04 × 10⁵⁴

C. 10.4 × 10⁵³

D. 1.04 × 10⁵³

Direct and Inverse Proportions

Sample Question

Two numbers are in the ratio 1:5. If each number is increased by 14, the ratio becomes 5:11. What are the numbers?

A. 12, 33

B. 16, 31

C. 8, 32

D. 6, 30

Factorisation

Sample Question

Factorize (49z² - 4).

A. (z + 1) (49z - 4)

B. (7z - 2) (7z - 2)

C. (7z + 2) (7z - 2)

D. (z - 1) (49z + 4)

Introduction to Graphs

Sample Question

If you plot following set of points on a graph, which set of points will not form a straight line?

A. (2,3) (3,4) (4,5) (6,7)

B. (0,1) (1,2) (2,3) (4,5) (5,6)

C. (1,3) (2,4) (4,6) (6,8)

D. (1,2) (3,3) (4,5) (6,7) (7,8)

Playing with Numbers

Sample Question

Find the value of A from following summation.

A 7
+ 5 B
1 4 A

A. 0

B. 7

C. 9

D. 1

Full Year 8th Grade Review

Sample Question

There are 28 students in a class, out of which 8 are girls. If a teacher randomly picks a student, what is the probability that the student picked is a boy?

A.
7
20

B.
12
28

C.
20
28

D.
5
28

Profit-Loss and Discounts

Sample Question

Find the single discount equivalent to two successive discounts of ^@ 30 \% ^@ and ^@ 20 \%. ^@

A.
^@ 44 \% ^@

B.
^@50 \% ^@

C.
^@55 \% ^@

D.
^@35 \% ^@

Simple Interest

Sample Question

How long will it take for an amount to become 4 times of itself at 5% per annum simple interest?

A. 61 years

B. 59 years

C. 60 years

D. 62 years

Compound Interest

Sample Question

At what rate percent per annum will a sum of ^@€ 90000 ^@ amount to ^@ € 114921 ^@ in ^@ 2 ^@ years, compounded annually ^@?^@

A.
^@ 12 \% ^@

B.
^@ 13 \% ^@

C.
^@ 16 \% ^@

D.
^@ 18 \% ^@

Multiplication of Polynomials

Sample Question

Find product of following polynomials:
( -5y² + y - 2) and ( -2y² + 2y + 5)

A. 10y⁴ - 12y³ - 19y² + y - 10

B. 10y⁴ - 12y³ + 19y² + y - 10

C. 10y⁴ - 12y³ - 19y² - y - 10

D. -10y⁴ - 12y³ - 19y² + y - 10

Division of Polynomials

Sample Question

Divide ^@ -18x^ { 3 }-18x^ { 2 }-40x-64 ^@ by ^@ 3x^ { 2 }-x + 8 ^@.

A.
^@x^ { 2 }-x-9^@

B.
^@x-6^@

C.
^@x^ { 2 } + 4x + 4^@

D.
^@-6x-8^@

Logical Reasoning

Sample Question

An express train from Paris to London runs every 5^th day. If the train went on Monday, after how many days will the train run on a Friday?

A. 21 days

B. 24 days

C. 25 days

D. 27 days