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

Rational Numbers

Sample Question

Which of the following is a rational number(s)?

A.
-11
-13

B.
6
13

C.
5
-6

D. All of these

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Linear Equations of One Variable

Sample Question

If
x
y
=
7
13
, then the value of
3 x - y
8 x + 4 y
is ____.

A.
27
2

B.
2
27

C.
1
5

D.
-1
7

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Understanding Quadrilaterals

Sample Question

Look at the figure given below:

Find the value of angle ^@y.^@

A.
^@ 130^\circ ^@

B.
^@ 40^\circ ^@

C.
^@140^\circ^@

D.
^@ 160^\circ ^@

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Square and Square Roots

Sample Question

Find the square of ^@685^@.

A.
^@467856^@

B.
^@469225^@

C.
^@469910^@

D.
^@468540^@

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Cubes and Cube Root

Sample Question

Find the value of ^@A^@ if
^@ \sqrt[3] { 500 \times A } = 10 ^@

A.
^@ 5 ^@

B.
^@ 3 ^@

C.
^@ 10 ^@

D.
2

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Comparing Quantities

Sample Question

The cost of toy at a showroom was ^@ $ 2150. ^@ The tax charged was ^@ 14 \%.^@ Find the billed amount.

A.
^@ $ 2451 ^@

B.
^@ $ 2465^@

C.
^@ $ 1849^@

D.
^@ $ 2458^@

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Algebraic Expressions and Identities

Sample Question

If three fifth of a number is 16 less than the original number, find the number.

A. 40

B. 50

C. 30

D. 45

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Visualizing Solid Shapes

Sample Question

How many faces does a triangular prism have?

A.
^@7^@

B.
^@6^@

C.
^@5^@

D.
^@3^@

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Mensuration

Sample Question

If the side of the small squares that form the shape below is 2.2 cm, find the total area of the shape.

A. 230.08 cm²

B. 227.48 cm²

C. 225.98 cm²

D. 225.18 cm²

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Exponents and Powers

Sample Question

Simplify (p^-3 + q^-3)^-1.

A. p³ + q³

B.
p³ + q³
pq

C.
p³q³
p³ + q³

D.
p³ - q³
p³q³

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Direct and Inverse Proportions

Sample Question

Two taps A and B can fill a water tank in 20 and 10 hours respectively. If they are turned up alternatively for one hour each (starting with tap B), find the time taken to fill the tank.

A. 11 hours

B. 13 hours

C. 15 hours

D. 12.5 hours

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Factorisation

Sample Question

Factorize (25z² - 49).

A. (z + 1) (25z - 49)

B. (5z - 7) (5z - 7)

C. (5z + 7) (5z - 7)

D. (z - 1) (25z + 49)

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Introduction to Graphs

Sample Question

The graph below shows the earning (in crores) of two companies (A and B) for ten years. Find the earning of A in the year the when combined earning was maximum.

A. 15 crores

B. 18 crores

C. 17 crores

D. 16 crores

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Playing with Numbers

Sample Question

Find the value of B from following summation.

A 9
+ 4 B
9 A

A. 6

B. 5

C. 3

D. 4

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Full Year 8th Grade Review

Sample Question

A man sells a horse for $1117.41 making a profit of 19%. What is the cost of horse?

A. 939

B. 910

C. 957

D. 946

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Profit-Loss and Discounts

Sample Question

Charlotte purchased 1400 bulbs for her shop at $20 each. During transportation 140 bulbs got damaged, and she sold remaining bulbs at the price of $28 each. Find overall profit/loss in percentage.

A. 26% profit

B. 16% profit

C. 31% profit

D. 36% profit

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Simple Interest

Sample Question

Kayden deposited an amount in bank which gives 15% simple interest. If he gets $ 50000 after 10 years, find the amount deposited by him?

A. $20000

B. $21000

C. $19000

D. $22000

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Compound Interest

Sample Question

Find the compound interest on ^@ $ 50000 ^@ for ^@ 1 ^@ year at ^@ 14 \% ^@ per annum, compounded half yearly.

A.
^@ $ 7340 ^@

B.
^@ $ 7232 ^@

C.
^@ $ 7262 ^@

D.
^@ $ 7245 ^@

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Multiplication of Polynomials

Sample Question

Find product of following polynomials:
(3a² - 5a - 2) and ( -3a² + a - 3)

A. -9a⁴ + 18a³ - 8a² + 13a + 6

B. -9a⁴ + 18a³ - 8a² - 13a + 6

C. -9a⁴ + 18a³ + 8a² + 13a + 6

D. 9a⁴ + 18a³ - 8a² + 13a + 6

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Division of Polynomials

Sample Question

Simplify: (9a² + 18ab + 9b² - 4c²) ÷ (3a + 3b + 2c)

A. (3a + 3b + 2c )

B. (3a - 3b + 2c )

C. (3a - 3b - 2c )

D. (3a + 3b - 2c )

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Data Handling-Probability Statistics

Sample Question

A die is thrown ^@ 300 ^@ times and the outcomes are noted as given below.

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

^@Frequency^@ ^@30^@ ^@45^@ ^@75^@ ^@60^@ ^@15^@ ^@75^@

If a die is thrown at random, what is the probability of getting ^@2^@?

A.
^@ 0.2 ^@

B.
^@ 0.25 ^@

C.
^@ 0.1 ^@

D.
^@ 0.15 ^@

^@Outcome^@	^@1^@	^@2^@	^@3^@	^@4^@	^@5^@	^@6^@
^@Frequency^@	^@30^@	^@45^@	^@75^@	^@60^@	^@15^@	^@75^@

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Logical Reasoning

Sample Question

What is the next number in the series: 1, 2, 4, 3, 9, 4, 16?

A. 25

B. 16

C. 6

D. 5

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Grade 8 Math

Rational Numbers

Sample Question

Which of the following is a rational number(s)?

A.
-11
-13

B.
6
13

C.
5
-6

D. All of these

Linear Equations of One Variable

Sample Question

If
x
y
=
7
13
, then the value of
3 x - y
8 x + 4 y
is ____.

A.
27
2

B.
2
27

C.
1
5

D.
-1
7

Understanding Quadrilaterals

Sample Question

Look at the figure given below:

Find the value of angle ^@y.^@

A.
^@ 130^\circ ^@

B.
^@ 40^\circ ^@

C.
^@140^\circ^@

D.
^@ 160^\circ ^@

Square and Square Roots

Sample Question

Find the square of ^@685^@.

A.
^@467856^@

B.
^@469225^@

C.
^@469910^@

D.
^@468540^@

Cubes and Cube Root

Sample Question

Find the value of ^@A^@ if
^@ \sqrt[3] { 500 \times A } = 10 ^@

A.
^@ 5 ^@

B.
^@ 3 ^@

C.
^@ 10 ^@

D.
2

Comparing Quantities

Sample Question

The cost of toy at a showroom was ^@ $ 2150. ^@ The tax charged was ^@ 14 \%.^@ Find the billed amount.

A.
^@ $ 2451 ^@

B.
^@ $ 2465^@

C.
^@ $ 1849^@

D.
^@ $ 2458^@

Algebraic Expressions and Identities

Sample Question

If three fifth of a number is 16 less than the original number, find the number.

A. 40

B. 50

C. 30

D. 45

Visualizing Solid Shapes

Sample Question

How many faces does a triangular prism have?

A.
^@7^@

B.
^@6^@

C.
^@5^@

D.
^@3^@

Mensuration

Sample Question

If the side of the small squares that form the shape below is 2.2 cm, find the total area of the shape.

A. 230.08 cm²

B. 227.48 cm²

C. 225.98 cm²

D. 225.18 cm²

Exponents and Powers

Sample Question

Simplify (p^-3 + q^-3)^-1.

A. p³ + q³

B.
p³ + q³
pq

C.
p³q³
p³ + q³

D.
p³ - q³
p³q³

Direct and Inverse Proportions

Sample Question

Two taps A and B can fill a water tank in 20 and 10 hours respectively. If they are turned up alternatively for one hour each (starting with tap B), find the time taken to fill the tank.

A. 11 hours

B. 13 hours

C. 15 hours

D. 12.5 hours

Factorisation

Sample Question

Factorize (25z² - 49).

A. (z + 1) (25z - 49)

B. (5z - 7) (5z - 7)

C. (5z + 7) (5z - 7)

D. (z - 1) (25z + 49)

Introduction to Graphs

Sample Question

The graph below shows the earning (in crores) of two companies (A and B) for ten years. Find the earning of A in the year the when combined earning was maximum.

A. 15 crores

B. 18 crores

C. 17 crores

D. 16 crores

Playing with Numbers

Sample Question

Find the value of B from following summation.

A 9
+ 4 B
9 A

A. 6

B. 5

C. 3

D. 4

Full Year 8th Grade Review

Sample Question

A man sells a horse for $1117.41 making a profit of 19%. What is the cost of horse?

A. 939

B. 910

C. 957

D. 946

Profit-Loss and Discounts

Sample Question

Charlotte purchased 1400 bulbs for her shop at $20 each. During transportation 140 bulbs got damaged, and she sold remaining bulbs at the price of $28 each. Find overall profit/loss in percentage.

A. 26% profit

B. 16% profit

C. 31% profit

D. 36% profit

Simple Interest

Sample Question

Kayden deposited an amount in bank which gives 15% simple interest. If he gets $ 50000 after 10 years, find the amount deposited by him?

A. $20000

B. $21000

C. $19000

D. $22000

Compound Interest

Sample Question

Find the compound interest on ^@ $ 50000 ^@ for ^@ 1 ^@ year at ^@ 14 \% ^@ per annum, compounded half yearly.

A.
^@ $ 7340 ^@

B.
^@ $ 7232 ^@

C.
^@ $ 7262 ^@

D.
^@ $ 7245 ^@

Multiplication of Polynomials

Sample Question

Find product of following polynomials:
(3a² - 5a - 2) and ( -3a² + a - 3)

A. -9a⁴ + 18a³ - 8a² + 13a + 6

B. -9a⁴ + 18a³ - 8a² - 13a + 6

C. -9a⁴ + 18a³ + 8a² + 13a + 6

D. 9a⁴ + 18a³ - 8a² + 13a + 6

Division of Polynomials

Sample Question

Simplify: (9a² + 18ab + 9b² - 4c²) ÷ (3a + 3b + 2c)

A. (3a + 3b + 2c )

B. (3a - 3b + 2c )

C. (3a - 3b - 2c )

D. (3a + 3b - 2c )

Logical Reasoning

Sample Question

What is the next number in the series: 1, 2, 4, 3, 9, 4, 16?

A. 25

B. 16

C. 6

D. 5

A.	^@ 130^\circ ^@
B.	^@ 40^\circ ^@
C.	^@140^\circ^@
D.	^@ 160^\circ ^@

A.	(z + 1) (25z - 49)
B.	(5z - 7) (5z - 7)
C.	(5z + 7) (5z - 7)
D.	(z - 1) (25z + 49)

A.	-9a⁴ + 18a³ - 8a² + 13a + 6
B.	-9a⁴ + 18a³ - 8a² - 13a + 6
C.	-9a⁴ + 18a³ + 8a² + 13a + 6
D.	9a⁴ + 18a³ - 8a² + 13a + 6

A.	(3a + 3b + 2c )
B.	(3a - 3b + 2c )
C.	(3a - 3b - 2c )
D.	(3a + 3b - 2c )

Grade 8 Math

Rational Numbers Sample Question Which of the following is a rational number(s)? A. -11-13 B. 613 C. 5-6 D.All of these

Linear Equations of One Variable Sample Question If xy = 713 , then the value of 3 x - y8 x + 4 y is ____. A. 272 B. 227 C. 15 D. -17

Understanding Quadrilaterals Sample Question Look at the figure given below: Find the value of angle ^@y.^@ A.^@ 130^\circ ^@ B.^@ 40^\circ ^@ C. ^@140^\circ^@ D.^@ 160^\circ ^@

Square and Square Roots Sample Question Find the square of ^@685^@. A.^@467856^@ B.^@469225^@ C.^@469910^@ D.^@468540^@

Cubes and Cube Root Sample Question Find the value of ^@A^@ if ^@ \sqrt[3] { 500 \times A } = 10 ^@ A.^@ 5 ^@ B.^@ 3 ^@ C.^@ 10 ^@ D.2

Comparing Quantities Sample Question The cost of toy at a showroom was ^@ $ 2150. ^@ The tax charged was ^@ 14 \%.^@ Find the billed amount. A. ^@ $ 2451 ^@ B. ^@ $ 2465^@ C. ^@ $ 1849^@ D. ^@ $ 2458^@

Algebraic Expressions and Identities Sample Question If three fifth of a number is 16 less than the original number, find the number. A.40 B.50 C.30 D.45

Visualizing Solid Shapes Sample Question How many faces does a triangular prism have? A.^@7^@ B.^@6^@ C. ^@5^@ D.^@3^@

Mensuration Sample Question If the side of the small squares that form the shape below is 2.2 cm, find the total area of the shape. A.230.08 cm2 B.227.48 cm2 C.225.98 cm2 D.225.18 cm2

Exponents and Powers Sample Question Simplify (p-3 + q-3)-1. A.p3 + q3 B. p3 + q3pq C. p3q3p3 + q3 D. p3 - q3p3q3

Direct and Inverse Proportions Sample Question Two taps A and B can fill a water tank in 20 and 10 hours respectively. If they are turned up alternatively for one hour each (starting with tap B), find the time taken to fill the tank. A.11 hours B.13 hours C.15 hours D.12.5 hours

Factorisation Sample Question Factorize (25z2 - 49). A.(z + 1) (25z - 49) B.(5z - 7) (5z - 7) C.(5z + 7) (5z - 7) D.(z - 1) (25z + 49)

Playing with Numbers Sample Question Find the value of B from following summation. A 9 + 4 B 9 A A.6 B.5 C.3 D.4

Full Year 8th Grade Review Sample Question A man sells a horse for $1117.41 making a profit of 19%. What is the cost of horse? A.939 B.910 C.957 D.946

Profit-Loss and Discounts Sample Question Charlotte purchased 1400 bulbs for her shop at $20 each. During transportation 140 bulbs got damaged, and she sold remaining bulbs at the price of $28 each. Find overall profit/loss in percentage. A.26% profit B.16% profit C.31% profit D.36% profit

Simple Interest Sample Question Kayden deposited an amount in bank which gives 15% simple interest. If he gets $ 50000 after 10 years, find the amount deposited by him? A.$20000 B.$21000 C.$19000 D.$22000

Compound Interest Sample Question Find the compound interest on ^@ $ 50000 ^@ for ^@ 1 ^@ year at ^@ 14 \% ^@ per annum, compounded half yearly. A.^@ $ 7340 ^@ B.^@ $ 7232 ^@ C.^@ $ 7262 ^@ D.^@ $ 7245 ^@

Multiplication of Polynomials Sample Question Find product of following polynomials:(3a2 - 5a - 2) and ( -3a2 + a - 3) A. -9a4 + 18a3 - 8a2 + 13a + 6 B. -9a4 + 18a3 - 8a2 - 13a + 6 C. -9a4 + 18a3 + 8a2 + 13a + 6 D.9a4 + 18a3 - 8a2 + 13a + 6

Division of Polynomials Sample Question Simplify: (9a2 + 18ab + 9b2 - 4c2) ÷ (3a + 3b + 2c) A.(3a + 3b + 2c ) B.(3a - 3b + 2c ) C.(3a - 3b - 2c ) D.(3a + 3b - 2c )

Logical Reasoning Sample Question What is the next number in the series: 1, 2, 4, 3, 9, 4, 16? A.25 B.16 C.6 D.5

Rational Numbers

Sample Question

Which of the following is a rational number(s)?

A.
-11
-13

B.
6
13

C.
5
-6

D. All of these

Linear Equations of One Variable

Sample Question

If
x
y
=
7
13
, then the value of
3 x - y
8 x + 4 y
is ____.

A.
27
2

B.
2
27

C.
1
5

D.
-1
7

Understanding Quadrilaterals

Sample Question

Look at the figure given below:

Find the value of angle ^@y.^@

A.
^@ 130^\circ ^@

B.
^@ 40^\circ ^@

C.
^@140^\circ^@

D.
^@ 160^\circ ^@

Square and Square Roots

Sample Question

Find the square of ^@685^@.

A.
^@467856^@

B.
^@469225^@

C.
^@469910^@

D.
^@468540^@

Cubes and Cube Root

Sample Question

Find the value of ^@A^@ if
^@ \sqrt[3] { 500 \times A } = 10 ^@

A.
^@ 5 ^@

B.
^@ 3 ^@

C.
^@ 10 ^@

D.
2

Comparing Quantities

Sample Question

The cost of toy at a showroom was ^@ $ 2150. ^@ The tax charged was ^@ 14 \%.^@ Find the billed amount.

A.
^@ $ 2451 ^@

B.
^@ $ 2465^@

C.
^@ $ 1849^@

D.
^@ $ 2458^@

Algebraic Expressions and Identities

Sample Question

If three fifth of a number is 16 less than the original number, find the number.

A. 40

B. 50

C. 30

D. 45

Visualizing Solid Shapes

Sample Question

How many faces does a triangular prism have?

A.
^@7^@

B.
^@6^@

C.
^@5^@

D.
^@3^@

Mensuration

Sample Question

If the side of the small squares that form the shape below is 2.2 cm, find the total area of the shape.

A. 230.08 cm²

B. 227.48 cm²

C. 225.98 cm²

D. 225.18 cm²

Exponents and Powers

Sample Question

Simplify (p^-3 + q^-3)^-1.

A. p³ + q³

B.
p³ + q³
pq

C.
p³q³
p³ + q³

D.
p³ - q³
p³q³

Direct and Inverse Proportions

Sample Question

Two taps A and B can fill a water tank in 20 and 10 hours respectively. If they are turned up alternatively for one hour each (starting with tap B), find the time taken to fill the tank.

A. 11 hours

B. 13 hours

C. 15 hours

D. 12.5 hours

Factorisation

Sample Question

Factorize (25z² - 49).

A. (z + 1) (25z - 49)

B. (5z - 7) (5z - 7)

C. (5z + 7) (5z - 7)

D. (z - 1) (25z + 49)

Playing with Numbers

Sample Question

Find the value of B from following summation.

A 9
+ 4 B
9 A

A. 6

B. 5

C. 3

D. 4

Full Year 8th Grade Review

Sample Question

A man sells a horse for $1117.41 making a profit of 19%. What is the cost of horse?

A. 939

B. 910

C. 957

D. 946

Simple Interest

Sample Question

Kayden deposited an amount in bank which gives 15% simple interest. If he gets $ 50000 after 10 years, find the amount deposited by him?

A. $20000

B. $21000

C. $19000

D. $22000

Compound Interest

Sample Question

Find the compound interest on ^@ $ 50000 ^@ for ^@ 1 ^@ year at ^@ 14 \% ^@ per annum, compounded half yearly.

A.
^@ $ 7340 ^@

B.
^@ $ 7232 ^@

C.
^@ $ 7262 ^@

D.
^@ $ 7245 ^@

Multiplication of Polynomials

Sample Question

Find product of following polynomials:
(3a² - 5a - 2) and ( -3a² + a - 3)

A. -9a⁴ + 18a³ - 8a² + 13a + 6

B. -9a⁴ + 18a³ - 8a² - 13a + 6

C. -9a⁴ + 18a³ + 8a² + 13a + 6

D. 9a⁴ + 18a³ - 8a² + 13a + 6

Division of Polynomials

Sample Question

Simplify: (9a² + 18ab + 9b² - 4c²) ÷ (3a + 3b + 2c)

A. (3a + 3b + 2c )

B. (3a - 3b + 2c )

C. (3a - 3b - 2c )

D. (3a + 3b - 2c )

Logical Reasoning

Sample Question

What is the next number in the series: 1, 2, 4, 3, 9, 4, 16?

A. 25

B. 16

C. 6

D. 5