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

Rational Numbers

Sample Question

How many rational numbers are there between any two non equal rational numbers ?

A. 517

B. 0

C. 100000

D. Infinite

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Linear Equations of One Variable

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.
^@ 11 ^@

B.
^@ 4 ^@

C.
^@ 3 ^@

D.
^@ 1 ^@

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Understanding Quadrilaterals

Sample Question

Find the measure of each exterior angle of a regular polygon of ^@4^@ sides.

A.
^@ 80 ^ \circ ^@

B.
^@ 90 ^ \circ ^@

C.
^@ 100 ^ \circ ^@

D.
^@ 120 ^ \circ ^@

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Square and Square Roots

Sample Question

Which of the following numbers is a perfect square?

A. 700

B. 1225

C. 980

D. 1575

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Cubes and Cube Root

Sample Question

What is the value of (
6
11
)³?

A.
216
1331

B.
216
11

C.
216
14641

D.
36
121

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Comparing Quantities

Sample Question

The simple interest of SR10500 in 3 years at 3% per annum will be same as simple interest on SR6300 in 3 years at what rate?

A. 4% pa

B. 5% pa

C. 7% pa

D. 6% pa

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Algebraic Expressions and Identities

Sample Question

Find the value of
(47.458)² - (32.542)²
14.916
using standard identities.

A. 80

B. 90

C. 800

D. 8

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Visualizing Solid Shapes

Sample Question

Use the Euler's relation to find the number of faces of a 3-dimensional figure with ^@9 ^@ vertices and ^@14 ^@ edges.

A.
^@5^@

B.
^@7^@

C.
^@12^@

D.
^@6^@

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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 SR42.20 per meter, find the total cost of fencing both the houses.

A. SR6563.50

B. SR6397.20

C. SR6643.20

D. SR6583.20

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Exponents and Powers

Sample Question

Simplify: ^@\left[\dfrac { -c^{-5} } { -c^{ 9 } b^{-5} a^{ -5 } \times (c^{ -15 } \times a^0)} \right]^2^@

A.
^@c^{ 2 } b^{ 10 } a^{ 10 }^@

B.
^@c^{ 2 } b^{ 15 } a^{ 10 }^@

C.
^@c^{ 2 } b^{ 11 } a^{ 10 }^@

D.
^@ b^{ 11 } a^{ 10 }^@

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Direct and Inverse Proportions

Sample Question

Two taps A and B can fill a water tank in 5 and 4 hours respectively. If they are turned up alternatively for one hour each (starting with tap A), find the time taken to fill the tank.

A. 6.5 hours

B. 5 hours

C. 4.5 hours

D. 2.5 hours

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Factorisation

Sample Question

Find factors of b² + 2b - 24.

A. (b - 4)( -b + 6)

B. (b - 4)(b + 6)

C. (b + 4)(b + 6)

D. ( -b - 4)( -b + 6)

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Introduction to Graphs

Sample Question

The graph shows the temperature forecast and the actual temperature of a city for ten days. Find the maximum deviation of actual temperature from the forecast.

A. 2°c

B. 1°c

C. 0°c

D. 3°c

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Playing with Numbers

Sample Question

The sum of the digits of a ^@2^@-digit number is ^@5^@. The number obtained by interchanging its digits is ^@9^@ less than the original number. Find the original number.

A.
^@14^@

B.
^@23^@

C.
^@32^@

D. None of these

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Full Year 8th Grade Review

Sample Question

A book was sold for SR40 with a profit of 11%. If it was sold for SR 47, then what would have been the percentage of profit or loss?

A. loss, 42.41%

B. profit, 36.41%

C. loss, 33.41%

D. profit, 30.41%

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New Online Test

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Profit-Loss and Discounts

Sample Question

The marked price of a ceiling fan is ^@SR 2390^@ and the shopkeeper allows a discount of ^@ 7 \% ^@ on it. Find the selling price of the ceiling fan.

A.
^@ SR 2227.7 ^@

B.
^@ SR 2224.35 ^@

C.
^@ SR 2222.7 ^@

D.
^@ SR 2226 ^@

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Simple Interest

Sample Question

Maurice deposited an amount in bank which gives 20% simple interest. If he gets SR 120000 after 10 years, find the amount deposited by him?

A. SR38000

B. SR42000

C. SR40000

D. SR39000

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Compound Interest

Sample Question

Find compound interest on SR100000 for one year and 6 months at 8% per annum compounded half yearly.

A. SR12486.4

B. SR13735.04

C. SR12496.4

D. SR12523.4

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Multiplication of Polynomials

Sample Question

Simplify the following expressions:
(b + 1) × (2b - 2) × ( -b + 1)

A. -2b³ + 2b² - 2b - 2

B. -2b³ + 2b² + 2b + 2

C. -2b³ + 2b² + 2b - 2

D. -2b³ - 2b² + 2b - 2

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Division of Polynomials

Sample Question

Simplify: (256x⁴ - 625) ÷ (4x - 5).

A. (4x + 5) (16x² + 25)

B. (4x - 5) (16x² - 25)

C. (4x + 5) (16x² - 25)

D. (4x - 5) (16x² + 25)

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Data Handling-Probability Statistics

Sample Question

Norah draws one card from a shuffled deck of 52 cards. What is the probability that she drew a spade or a 10?

A.
1
13

B.
4
52

C.
4
13

D.
1
52

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Logical Reasoning

Sample Question

If xy represents a two-digit number, where x and y are positive single digits, which of the following CANNOT be true?

A. y - x = 9

B. x = y

C. y + x = 3x

D. 7x = y

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Grade 8 Math

Rational Numbers

Sample Question

How many rational numbers are there between any two non equal rational numbers ?

A. 517

B. 0

C. 100000

D. Infinite

Linear Equations of One Variable

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.
^@ 11 ^@

B.
^@ 4 ^@

C.
^@ 3 ^@

D.
^@ 1 ^@

Understanding Quadrilaterals

Sample Question

Find the measure of each exterior angle of a regular polygon of ^@4^@ sides.

A.
^@ 80 ^ \circ ^@

B.
^@ 90 ^ \circ ^@

C.
^@ 100 ^ \circ ^@

D.
^@ 120 ^ \circ ^@

Square and Square Roots

Sample Question

Which of the following numbers is a perfect square?

A. 700

B. 1225

C. 980

D. 1575

Cubes and Cube Root

Sample Question

What is the value of (
6
11
)³?

A.
216
1331

B.
216
11

C.
216
14641

D.
36
121

Comparing Quantities

Sample Question

The simple interest of SR10500 in 3 years at 3% per annum will be same as simple interest on SR6300 in 3 years at what rate?

A. 4% pa

B. 5% pa

C. 7% pa

D. 6% pa

Algebraic Expressions and Identities

Sample Question

Find the value of
(47.458)² - (32.542)²
14.916
using standard identities.

A. 80

B. 90

C. 800

D. 8

Visualizing Solid Shapes

Sample Question

Use the Euler's relation to find the number of faces of a 3-dimensional figure with ^@9 ^@ vertices and ^@14 ^@ edges.

A.
^@5^@

B.
^@7^@

C.
^@12^@

D.
^@6^@

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 SR42.20 per meter, find the total cost of fencing both the houses.

A. SR6563.50

B. SR6397.20

C. SR6643.20

D. SR6583.20

Exponents and Powers

Sample Question

Simplify: ^@\left[\dfrac { -c^{-5} } { -c^{ 9 } b^{-5} a^{ -5 } \times (c^{ -15 } \times a^0)} \right]^2^@

A.
^@c^{ 2 } b^{ 10 } a^{ 10 }^@

B.
^@c^{ 2 } b^{ 15 } a^{ 10 }^@

C.
^@c^{ 2 } b^{ 11 } a^{ 10 }^@

D.
^@ b^{ 11 } a^{ 10 }^@

Direct and Inverse Proportions

Sample Question

Two taps A and B can fill a water tank in 5 and 4 hours respectively. If they are turned up alternatively for one hour each (starting with tap A), find the time taken to fill the tank.

A. 6.5 hours

B. 5 hours

C. 4.5 hours

D. 2.5 hours

Factorisation

Sample Question

Find factors of b² + 2b - 24.

A. (b - 4)( -b + 6)

B. (b - 4)(b + 6)

C. (b + 4)(b + 6)

D. ( -b - 4)( -b + 6)

Introduction to Graphs

Sample Question

The graph shows the temperature forecast and the actual temperature of a city for ten days. Find the maximum deviation of actual temperature from the forecast.

A. 2°c

B. 1°c

C. 0°c

D. 3°c

Playing with Numbers

Sample Question

The sum of the digits of a ^@2^@-digit number is ^@5^@. The number obtained by interchanging its digits is ^@9^@ less than the original number. Find the original number.

A.
^@14^@

B.
^@23^@

C.
^@32^@

D. None of these

Full Year 8th Grade Review

Sample Question

A book was sold for SR40 with a profit of 11%. If it was sold for SR 47, then what would have been the percentage of profit or loss?

A. loss, 42.41%

B. profit, 36.41%

C. loss, 33.41%

D. profit, 30.41%

Profit-Loss and Discounts

Sample Question

The marked price of a ceiling fan is ^@SR 2390^@ and the shopkeeper allows a discount of ^@ 7 \% ^@ on it. Find the selling price of the ceiling fan.

A.
^@ SR 2227.7 ^@

B.
^@ SR 2224.35 ^@

C.
^@ SR 2222.7 ^@

D.
^@ SR 2226 ^@

Simple Interest

Sample Question

Maurice deposited an amount in bank which gives 20% simple interest. If he gets SR 120000 after 10 years, find the amount deposited by him?

A. SR38000

B. SR42000

C. SR40000

D. SR39000

Compound Interest

Sample Question

Find compound interest on SR100000 for one year and 6 months at 8% per annum compounded half yearly.

A. SR12486.4

B. SR13735.04

C. SR12496.4

D. SR12523.4

Multiplication of Polynomials

Sample Question

Simplify the following expressions:
(b + 1) × (2b - 2) × ( -b + 1)

A. -2b³ + 2b² - 2b - 2

B. -2b³ + 2b² + 2b + 2

C. -2b³ + 2b² + 2b - 2

D. -2b³ - 2b² + 2b - 2

Division of Polynomials

Sample Question

Simplify: (256x⁴ - 625) ÷ (4x - 5).

A. (4x + 5) (16x² + 25)

B. (4x - 5) (16x² - 25)

C. (4x + 5) (16x² - 25)

D. (4x - 5) (16x² + 25)

Data Handling-Probability Statistics

Sample Question

Norah draws one card from a shuffled deck of 52 cards. What is the probability that she drew a spade or a 10?

A.
1
13

B.
4
52

C.
4
13

D.
1
52

Logical Reasoning

Sample Question

If xy represents a two-digit number, where x and y are positive single digits, which of the following CANNOT be true?

A. y - x = 9

B. x = y

C. y + x = 3x

D. 7x = y

A.	^@ 80 ^ \circ ^@
B.	^@ 90 ^ \circ ^@
C.	^@ 100 ^ \circ ^@
D.	^@ 120 ^ \circ ^@

A.	^@c^{ 2 } b^{ 10 } a^{ 10 }^@
B.	^@c^{ 2 } b^{ 15 } a^{ 10 }^@
C.	^@c^{ 2 } b^{ 11 } a^{ 10 }^@
D.	^@ b^{ 11 } a^{ 10 }^@

A.	(b - 4)( -b + 6)
B.	(b - 4)(b + 6)
C.	(b + 4)(b + 6)
D.	( -b - 4)( -b + 6)

A.	loss, 42.41%
B.	profit, 36.41%
C.	loss, 33.41%
D.	profit, 30.41%

A.	^@ SR 2227.7 ^@
B.	^@ SR 2224.35 ^@
C.	^@ SR 2222.7 ^@
D.	^@ SR 2226 ^@

A.	-2b³ + 2b² - 2b - 2
B.	-2b³ + 2b² + 2b + 2
C.	-2b³ + 2b² + 2b - 2
D.	-2b³ - 2b² + 2b - 2

A.	(4x + 5) (16x² + 25)
B.	(4x - 5) (16x² - 25)
C.	(4x + 5) (16x² - 25)
D.	(4x - 5) (16x² + 25)

Grade 8 Math

Rational Numbers Sample Question How many rational numbers are there between any two non equal rational numbers ? A.517 B.0 C.100000 D.Infinite

Linear Equations of One Variable 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. ^@ 11 ^@ B. ^@ 4 ^@ C. ^@ 3 ^@ D. ^@ 1 ^@

Understanding Quadrilaterals Sample Question Find the measure of each exterior angle of a regular polygon of ^@4^@ sides. A.^@ 80 ^ \circ ^@ B.^@ 90 ^ \circ ^@ C.^@ 100 ^ \circ ^@ D.^@ 120 ^ \circ ^@

Square and Square Roots Sample Question Which of the following numbers is a perfect square? A.700 B.1225 C.980 D.1575

Cubes and Cube Root Sample Question What is the value of ( 611 )3? A. 2161331 B. 21611 C. 21614641 D. 36121

Comparing Quantities Sample Question The simple interest of SR10500 in 3 years at 3% per annum will be same as simple interest on SR6300 in 3 years at what rate? A.4% pa B.5% pa C.7% pa D.6% pa

Algebraic Expressions and Identities Sample Question Find the value of (47.458)2 - (32.542)214.916 using standard identities. A.80 B.90 C.800 D.8

Visualizing Solid Shapes Sample Question Use the Euler's relation to find the number of faces of a 3-dimensional figure with ^@9 ^@ vertices and ^@14 ^@ edges. A.^@5^@ B.^@7^@ C.^@12^@ D.^@6^@

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 SR42.20 per meter, find the total cost of fencing both the houses. A.SR6563.50 B.SR6397.20 C.SR6643.20 D.SR6583.20

Exponents and Powers Sample Question Simplify: ^@\left[\dfrac { -c^{-5} } { -c^{ 9 } b^{-5} a^{ -5 } \times (c^{ -15 } \times a^0)} \right]^2^@ A. ^@c^{ 2 } b^{ 10 } a^{ 10 }^@ B. ^@c^{ 2 } b^{ 15 } a^{ 10 }^@ C. ^@c^{ 2 } b^{ 11 } a^{ 10 }^@ D. ^@ b^{ 11 } a^{ 10 }^@

Direct and Inverse Proportions Sample Question Two taps A and B can fill a water tank in 5 and 4 hours respectively. If they are turned up alternatively for one hour each (starting with tap A), find the time taken to fill the tank. A.6.5 hours B.5 hours C.4.5 hours D.2.5 hours

Factorisation Sample Question Find factors of b2 + 2b - 24. A.(b - 4)( -b + 6) B.(b - 4)(b + 6) C.(b + 4)(b + 6) D.( -b - 4)( -b + 6)

Playing with Numbers Sample Question The sum of the digits of a ^@2^@-digit number is ^@5^@. The number obtained by interchanging its digits is ^@9^@ less than the original number. Find the original number. A.^@14^@ B.^@23^@ C. ^@32^@ D.None of these

Full Year 8th Grade Review Sample Question A book was sold for SR40 with a profit of 11%. If it was sold for SR 47, then what would have been the percentage of profit or loss? A.loss, 42.41% B.profit, 36.41% C.loss, 33.41% D.profit, 30.41%

Profit-Loss and Discounts Sample Question The marked price of a ceiling fan is ^@SR 2390^@ and the shopkeeper allows a discount of ^@ 7 \% ^@ on it. Find the selling price of the ceiling fan. A.^@ SR 2227.7 ^@ B. ^@ SR 2224.35 ^@ C. ^@ SR 2222.7 ^@ D. ^@ SR 2226 ^@

Simple Interest Sample Question Maurice deposited an amount in bank which gives 20% simple interest. If he gets SR 120000 after 10 years, find the amount deposited by him? A.SR38000 B.SR42000 C.SR40000 D.SR39000

Compound Interest Sample Question Find compound interest on SR100000 for one year and 6 months at 8% per annum compounded half yearly. A.SR12486.4 B.SR13735.04 C.SR12496.4 D.SR12523.4

Multiplication of Polynomials Sample Question Simplify the following expressions:(b + 1) × (2b - 2) × ( -b + 1) A. -2b3 + 2b2 - 2b - 2 B. -2b3 + 2b2 + 2b + 2 C. -2b3 + 2b2 + 2b - 2 D. -2b3 - 2b2 + 2b - 2

Division of Polynomials Sample Question Simplify: (256x4 - 625) ÷ (4x - 5). A.(4x + 5) (16x2 + 25) B.(4x - 5) (16x2 - 25) C.(4x + 5) (16x2 - 25) D.(4x - 5) (16x2 + 25)

Data Handling-Probability Statistics Sample Question Norah draws one card from a shuffled deck of 52 cards. What is the probability that she drew a spade or a 10? A. 113 B. 452 C. 413 D. 152

Logical Reasoning Sample Question If xy represents a two-digit number, where x and y are positive single digits, which of the following CANNOT be true? A.y - x = 9 B.x = y C.y + x = 3x D.7x = y

Rational Numbers

Sample Question

How many rational numbers are there between any two non equal rational numbers ?

A. 517

B. 0

C. 100000

D. Infinite

Linear Equations of One Variable

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.
^@ 11 ^@

B.
^@ 4 ^@

C.
^@ 3 ^@

D.
^@ 1 ^@

Understanding Quadrilaterals

Sample Question

Find the measure of each exterior angle of a regular polygon of ^@4^@ sides.

A.
^@ 80 ^ \circ ^@

B.
^@ 90 ^ \circ ^@

C.
^@ 100 ^ \circ ^@

D.
^@ 120 ^ \circ ^@

Square and Square Roots

Sample Question

Which of the following numbers is a perfect square?

A. 700

B. 1225

C. 980

D. 1575

Cubes and Cube Root

Sample Question

What is the value of (
6
11
)³?

A.
216
1331

B.
216
11

C.
216
14641

D.
36
121

Comparing Quantities

Sample Question

The simple interest of SR10500 in 3 years at 3% per annum will be same as simple interest on SR6300 in 3 years at what rate?

A. 4% pa

B. 5% pa

C. 7% pa

D. 6% pa

Algebraic Expressions and Identities

Sample Question

Find the value of
(47.458)² - (32.542)²
14.916
using standard identities.

A. 80

B. 90

C. 800

D. 8

Visualizing Solid Shapes

Sample Question

Use the Euler's relation to find the number of faces of a 3-dimensional figure with ^@9 ^@ vertices and ^@14 ^@ edges.

A.
^@5^@

B.
^@7^@

C.
^@12^@

D.
^@6^@

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 SR42.20 per meter, find the total cost of fencing both the houses.

A. SR6563.50

B. SR6397.20

C. SR6643.20

D. SR6583.20

Exponents and Powers

Sample Question

Simplify: ^@\left[\dfrac { -c^{-5} } { -c^{ 9 } b^{-5} a^{ -5 } \times (c^{ -15 } \times a^0)} \right]^2^@

A.
^@c^{ 2 } b^{ 10 } a^{ 10 }^@

B.
^@c^{ 2 } b^{ 15 } a^{ 10 }^@

C.
^@c^{ 2 } b^{ 11 } a^{ 10 }^@

D.
^@ b^{ 11 } a^{ 10 }^@

Direct and Inverse Proportions

Sample Question

Two taps A and B can fill a water tank in 5 and 4 hours respectively. If they are turned up alternatively for one hour each (starting with tap A), find the time taken to fill the tank.

A. 6.5 hours

B. 5 hours

C. 4.5 hours

D. 2.5 hours

Factorisation

Sample Question

Find factors of b² + 2b - 24.

A. (b - 4)( -b + 6)

B. (b - 4)(b + 6)

C. (b + 4)(b + 6)

D. ( -b - 4)( -b + 6)

Playing with Numbers

Sample Question

The sum of the digits of a ^@2^@-digit number is ^@5^@. The number obtained by interchanging its digits is ^@9^@ less than the original number. Find the original number.

A.
^@14^@

B.
^@23^@

C.
^@32^@

D. None of these

Full Year 8th Grade Review

Sample Question

A book was sold for SR40 with a profit of 11%. If it was sold for SR 47, then what would have been the percentage of profit or loss?

A. loss, 42.41%

B. profit, 36.41%

C. loss, 33.41%

D. profit, 30.41%

Profit-Loss and Discounts

Sample Question

The marked price of a ceiling fan is ^@SR 2390^@ and the shopkeeper allows a discount of ^@ 7 \% ^@ on it. Find the selling price of the ceiling fan.

A.
^@ SR 2227.7 ^@

B.
^@ SR 2224.35 ^@

C.
^@ SR 2222.7 ^@

D.
^@ SR 2226 ^@

Simple Interest

Sample Question

Maurice deposited an amount in bank which gives 20% simple interest. If he gets SR 120000 after 10 years, find the amount deposited by him?

A. SR38000

B. SR42000

C. SR40000

D. SR39000

Compound Interest

Sample Question

Find compound interest on SR100000 for one year and 6 months at 8% per annum compounded half yearly.

A. SR12486.4

B. SR13735.04

C. SR12496.4

D. SR12523.4

Multiplication of Polynomials

Sample Question

Simplify the following expressions:
(b + 1) × (2b - 2) × ( -b + 1)

A. -2b³ + 2b² - 2b - 2

B. -2b³ + 2b² + 2b + 2

C. -2b³ + 2b² + 2b - 2

D. -2b³ - 2b² + 2b - 2

Division of Polynomials

Sample Question

Simplify: (256x⁴ - 625) ÷ (4x - 5).

A. (4x + 5) (16x² + 25)

B. (4x - 5) (16x² - 25)

C. (4x + 5) (16x² - 25)

D. (4x - 5) (16x² + 25)

Data Handling-Probability Statistics

Sample Question

Norah draws one card from a shuffled deck of 52 cards. What is the probability that she drew a spade or a 10?

A.
1
13

B.
4
52

C.
4
13

D.
1
52

Logical Reasoning

Sample Question

If xy represents a two-digit number, where x and y are positive single digits, which of the following CANNOT be true?

A. y - x = 9

B. x = y

C. y + x = 3x

D. 7x = y