Grade 8 math worksheets, practice and tests

Rational Numbers

Sample Question

Divide the sum of $\dfrac{ 11 }{ 12 }$ and $\dfrac{ 23 }{ 24 }$ by the product of $\dfrac{ 3 }{ 5 }$ and $\dfrac{ 4 }{ 13 }$ . The result obtained is:

A. $\dfrac{ 325 }{ 32 }$

B. $\dfrac{ 5 }{ 4 }$

C. $\dfrac{ 4 }{ 5 }$

D. $\dfrac{ 32 }{ 325 }$

EXPLORE

Linear Equations of One Variable

Sample Question

The perimeter of a rectangle is numerically equal to the area of rectangle. If width of rectangle is $2 \dfrac{ 3 } { 4 } \space cm$ , then what is the length of the rectangle?

A. $\dfrac{23 } { 3 } \space cm$

B. $\dfrac{25 } { 3 } \space cm$

C. $10 \space cm$

D. $\dfrac{ 22 } { 3 } \space cm$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Understanding Quadrilaterals

Sample Question

A man walking at the speed of $4 \space km/hr$ , crosses a square field diagonally in $9$ minutes. What is the area of the field?

A. $179700 \space m^2$

B. $179900 \space m^2$

C. $180700 \space m^2$

D. $180000 \space m^2$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Square and Square Roots

Sample Question

What is the value of $\sqrt{ \dfrac{ 98 }{ 18 } }$ ?

A.
$\dfrac{ \pm7 }{ 9 }$

B.
$\dfrac{ 9 }{ 3 }$

C.
$\dfrac { \pm 7 }{ 3 }$

D.
$\dfrac{ \pm7 }{ 2 }$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Cubes and Cube Root

Sample Question

Find the side of a cube whose volume is $\dfrac{ 50653 }{ 1728 } \space m^3$ .

A. $\dfrac{ 37 }{ 12 } \space m$

B. $\dfrac{ 65 }{ 4 } \space m$

C. $\dfrac{ 37 }{ 4 } \space m$

D. $\dfrac{ 65 }{ 12 } \space m$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Comparing Quantities

Sample Question

A dealer purchased a mat for $₨ 3900.$ He allows a discount of $16 \%$ on its marked price and still gains $10 \% .$ Find the marked price of the mat.

A.
$₨ 5113.14$

B.
$₨ 5110.47$

C.
$₨ 5107.14$

D.
$₨ 5108.81$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Algebraic Expressions and Identities

Sample Question

Find the product of $(9x^2 + 2y^2)(9x^2 - 2y^2)$ .

A.
$9x^4 - 2y^4$

B.
$81 { x }^4 - 4 { y }^4$

C.
$81x^4 + 4y^4$

D.
$4x^2 + 81y^2$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Visualizing Solid Shapes

Sample Question

If the angles of a pentagon are in the ratio $3 : 6 : 8 : 13 : 15$ , then the angles are

A. $33^\circ$ , $66^\circ$ , $88^\circ$ , $143^\circ$ , and $165^\circ$

B. $30^\circ$ , $60^\circ$ , $80^\circ$ , $130^\circ$ , and $150^\circ$

C. $36^\circ$ , $72^\circ$ , $96^\circ$ , $156^\circ$ , and $180^\circ$

D. $42^\circ$ , $84^\circ$ , $112^\circ$ , $182^\circ$ , and $210^\circ$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Mensuration

Sample Question

If a cube of side 108 m is cut into small cubes each of side 9 m, then how many small cubes will be formed?

A. 12

B. 1728

C. 11664

D. None of these

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Exponents and Powers

Sample Question

For each positive integer n, which of the following is also a square number (a perfect square)?

A. n² + 4n + 2

B. n² + 2n + 2

C. n² + 2n + 1

D. n² + 8n + 4

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Direct and Inverse Proportions

Sample Question

The price of $15 \space kg$ of sugar or $7 \space kg$ of mangoes is $₨ 300.$ Find the price of $7 \space kg$ of sugar and $14 \space kg$ of mangoes.
mangoes sugar

A.
$₨744$

B.
$₨742$

C.
$₨746$

D.
$₨740$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Factorisation

Sample Question

The factors of $100x^ { 2 } + 160xy + 64y^ { 2 }$ are

A. $(10 x + 8 y)$ and $(10 + 8 y)$

B. $(10 x + 8 y)$ and $(10 x - 8 y)$

C. $(10 x - 8 y)$ and $(10 x - 8 y)$

D. $(10 x + 8 y)$ and $(10 x + 8 y)$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Introduction to Graphs

Sample Question

The following graph shows the temperature of a patient in a hospital, recorded every hour.

What was the patient's temperature at $1 \space p.m.$ and when was the patient's temperature $40^\circ C$ ?

A. $35^\circ C$ and $12 \space noon$

B. $36^\circ C$ and $11 \space a.m.$

C. $36^\circ C$ and $12 \space noon$

D. $35^\circ C$ and $11 \space a.m.$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Playing with Numbers

Sample Question

Which among the following is the units digit of $\left(53098861\right)^3$ ?

A. 1

B. 3

C. 2

D. 4

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Full Year 8th Grade Review

Sample Question

What is the mean of all the internal angles of a hexagon.

A. 140°

B. 100°

C. 110°

D. 120°

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Profit-Loss and Discounts

Sample Question

A book store is selling books normally priced at $₨19$ each, but today they are at $30\%$ off. If the store charges $5\%$ tax, what is the final cost of one book?
Upeksha

A. $₨14.965$

B. $₨20.965$

C. $₨12.965$

D. $₨13.965$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Simple Interest

Sample Question

Chathura borrowed ₨28800 from Fathima at the rate of 6% simple interest per year. He then returned the money after 3 years and 6 months. How much money did he give to Fathima in total?
Chathura Fathima

A. ₨34848

B. ₨34878

C. ₨34858

D. ₨34838

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Compound Interest

Sample Question

The population of a town was $200,000$ three years ago. If it increased by $4\%$ , $7\%$ , and $7.5\%$ respectively in the last three years, then the present population of the town is:

A. $239,252$

B. $239,212$

C. $244,252$

D. $239,452$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Multiplication of Polynomials

Sample Question

What is the value of $5a^{ 3 }\left(-4a^{ 3 } - 5\right) - 2a^{ 3 }\left(3a^{ 3 } - 3\right) + 2$ at $a = 3$ ?

A. $19165$

B. $19465$

C. $-19465$

D. $-19165$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Division of Polynomials

Sample Question

The volume of a rectangular solid is given by the polynomial $72x^ { 4 } + 172x^ { 3 } + 258x^ { 2 } + 144x$ . The length of the solid is given by $2x$ and the width is given by $9x + 8$ . Find the height of the solid.

A.
$-7x^ { 2 } + 3x-2$

B.
$7x^ { 2 }-6x-7$

C.
$8x-3$

D.
$4x^ { 2 } + 6x + 9$

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Data Handling-Probability Statistics

Sample Question

Supun throws a dice. What is the probability that he will roll a number less than 5?

A.
2
6

B.
4
6

C.
1
6

D. 0

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Logical Reasoning

Sample Question

If, 9 ♠ 8 = 289 and 5 ♠ 2 = 49, find the value of 4 ♠ 7.

A. 121

B. 77

C. 28

D. 44

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Account Type

Subscription Type

My Actions

Grade 8 Math

Rational Numbers

Sample Question

Divide the sum of $\dfrac{ 11 }{ 12 }$ and $\dfrac{ 23 }{ 24 }$ by the product of $\dfrac{ 3 }{ 5 }$ and $\dfrac{ 4 }{ 13 }$ . The result obtained is:

A. $\dfrac{ 325 }{ 32 }$

B. $\dfrac{ 5 }{ 4 }$

C. $\dfrac{ 4 }{ 5 }$

D. $\dfrac{ 32 }{ 325 }$

Understanding Quadrilaterals

Sample Question

A man walking at the speed of $4 \space km/hr$ , crosses a square field diagonally in $9$ minutes. What is the area of the field?

A. $179700 \space m^2$

B. $179900 \space m^2$

C. $180700 \space m^2$

D. $180000 \space m^2$

Square and Square Roots

Sample Question

What is the value of $\sqrt{ \dfrac{ 98 }{ 18 } }$ ?

A.
$\dfrac{ \pm7 }{ 9 }$

B.
$\dfrac{ 9 }{ 3 }$

C.
$\dfrac { \pm 7 }{ 3 }$

D.
$\dfrac{ \pm7 }{ 2 }$

Cubes and Cube Root

Sample Question

Find the side of a cube whose volume is $\dfrac{ 50653 }{ 1728 } \space m^3$ .

A. $\dfrac{ 37 }{ 12 } \space m$

B. $\dfrac{ 65 }{ 4 } \space m$

C. $\dfrac{ 37 }{ 4 } \space m$

D. $\dfrac{ 65 }{ 12 } \space m$

Comparing Quantities

Sample Question

A dealer purchased a mat for $₨ 3900.$ He allows a discount of $16 \%$ on its marked price and still gains $10 \% .$ Find the marked price of the mat.

A.
$₨ 5113.14$

B.
$₨ 5110.47$

C.
$₨ 5107.14$

D.
$₨ 5108.81$

Algebraic Expressions and Identities

Sample Question

Find the product of $(9x^2 + 2y^2)(9x^2 - 2y^2)$ .

A.
$9x^4 - 2y^4$

B.
$81 { x }^4 - 4 { y }^4$

C.
$81x^4 + 4y^4$

D.
$4x^2 + 81y^2$

Mensuration

Sample Question

If a cube of side 108 m is cut into small cubes each of side 9 m, then how many small cubes will be formed?

A. 12

B. 1728

C. 11664

D. None of these

Exponents and Powers

Sample Question

For each positive integer n, which of the following is also a square number (a perfect square)?

A. n² + 4n + 2

B. n² + 2n + 2

C. n² + 2n + 1

D. n² + 8n + 4

Direct and Inverse Proportions

Sample Question

The price of $15 \space kg$ of sugar or $7 \space kg$ of mangoes is $₨ 300.$ Find the price of $7 \space kg$ of sugar and $14 \space kg$ of mangoes.
mangoes sugar

A.
$₨744$

B.
$₨742$

C.
$₨746$

D.
$₨740$

Factorisation

Sample Question

The factors of $100x^ { 2 } + 160xy + 64y^ { 2 }$ are

A. $(10 x + 8 y)$ and $(10 + 8 y)$

B. $(10 x + 8 y)$ and $(10 x - 8 y)$

C. $(10 x - 8 y)$ and $(10 x - 8 y)$

D. $(10 x + 8 y)$ and $(10 x + 8 y)$

Playing with Numbers

Sample Question

Which among the following is the units digit of $\left(53098861\right)^3$ ?

A. 1

B. 3

C. 2

D. 4

Full Year 8th Grade Review

Sample Question

What is the mean of all the internal angles of a hexagon.

A. 140°

B. 100°

C. 110°

D. 120°

Profit-Loss and Discounts

Sample Question

A book store is selling books normally priced at $₨19$ each, but today they are at $30\%$ off. If the store charges $5\%$ tax, what is the final cost of one book?
Upeksha

A. $₨14.965$

B. $₨20.965$

C. $₨12.965$

D. $₨13.965$

Simple Interest

Sample Question

Chathura borrowed ₨28800 from Fathima at the rate of 6% simple interest per year. He then returned the money after 3 years and 6 months. How much money did he give to Fathima in total?
Chathura Fathima

A. ₨34848

B. ₨34878

C. ₨34858

D. ₨34838

Compound Interest

Sample Question

The population of a town was $200,000$ three years ago. If it increased by $4\%$ , $7\%$ , and $7.5\%$ respectively in the last three years, then the present population of the town is:

A. $239,252$

B. $239,212$

C. $244,252$

D. $239,452$

Multiplication of Polynomials

Sample Question

What is the value of $5a^{ 3 }\left(-4a^{ 3 } - 5\right) - 2a^{ 3 }\left(3a^{ 3 } - 3\right) + 2$ at $a = 3$ ?

A. $19165$

B. $19465$

C. $-19465$

D. $-19165$

Data Handling-Probability Statistics

Sample Question

Supun throws a dice. What is the probability that he will roll a number less than 5?

A.
2
6

B.
4
6

C.
1
6

D. 0

Logical Reasoning

Sample Question

If, 9 ♠ 8 = 289 and 5 ♠ 2 = 49, find the value of 4 ♠ 7.

A. 121

B. 77

C. 28

D. 44

A.	$\dfrac{ 325 }{ 32 }$
B.	$\dfrac{ 5 }{ 4 }$
C.	$\dfrac{ 4 }{ 5 }$
D.	$\dfrac{ 32 }{ 325 }$

A.	$\dfrac{23 } { 3 } \space cm$
B.	$\dfrac{25 } { 3 } \space cm$
C.	$10 \space cm$
D.	$\dfrac{ 22 } { 3 } \space cm$

A.	$179700 \space m^2$
B.	$179900 \space m^2$
C.	$180700 \space m^2$
D.	$180000 \space m^2$

A.	$\dfrac{ \pm7 }{ 9 }$
B.	$\dfrac{ 9 }{ 3 }$
C.	$\dfrac { \pm 7 }{ 3 }$
D.	$\dfrac{ \pm7 }{ 2 }$

A.	$\dfrac{ 37 }{ 12 } \space m$
B.	$\dfrac{ 65 }{ 4 } \space m$
C.	$\dfrac{ 37 }{ 4 } \space m$
D.	$\dfrac{ 65 }{ 12 } \space m$

A.	$₨ 5113.14$
B.	$₨ 5110.47$
C.	$₨ 5107.14$
D.	$₨ 5108.81$

A.	$9x^4 - 2y^4$
B.	$81 { x }^4 - 4 { y }^4$
C.	$81x^4 + 4y^4$
D.	$4x^2 + 81y^2$

A.	$33^\circ$ , $66^\circ$ , $88^\circ$ , $143^\circ$ , and $165^\circ$
B.	$30^\circ$ , $60^\circ$ , $80^\circ$ , $130^\circ$ , and $150^\circ$
C.	$36^\circ$ , $72^\circ$ , $96^\circ$ , $156^\circ$ , and $180^\circ$
D.	$42^\circ$ , $84^\circ$ , $112^\circ$ , $182^\circ$ , and $210^\circ$

A.	$(10 x + 8 y)$ and $(10 + 8 y)$
B.	$(10 x + 8 y)$ and $(10 x - 8 y)$
C.	$(10 x - 8 y)$ and $(10 x - 8 y)$
D.	$(10 x + 8 y)$ and $(10 x + 8 y)$

A.	$35^\circ C$ and $12 \space noon$
B.	$36^\circ C$ and $11 \space a.m.$
C.	$36^\circ C$ and $12 \space noon$
D.	$35^\circ C$ and $11 \space a.m.$

A.	$-7x^ { 2 } + 3x-2$
B.	$7x^ { 2 }-6x-7$
C.	$8x-3$
D.	$4x^ { 2 } + 6x + 9$

Grade 8 Math

Square and Square Roots Sample Question What is the value of √9818√9818\sqrt{ \dfrac{ 98 }{ 18 } } ? A.±79±79\dfrac{ \pm7 }{ 9 } B.9393\dfrac{ 9 }{ 3 } C.±73±73\dfrac { \pm 7 }{ 3 } D.±72±72\dfrac{ \pm7 }{ 2 }

Cubes and Cube Root Sample Question Find the side of a cube whose volume is 506531728 m3506531728 m3\dfrac{ 50653 }{ 1728 } \space m^3. A.3712 m3712 m\dfrac{ 37 }{ 12 } \space m B.654 m654 m\dfrac{ 65 }{ 4 } \space m C.374 m374 m\dfrac{ 37 }{ 4 } \space m D.6512 m6512 m\dfrac{ 65 }{ 12 } \space m

Algebraic Expressions and Identities Sample Question Find the product of (9x2+2y2)(9x2−2y2) (9x^2 + 2y^2)(9x^2 - 2y^2) . A.9x4−2y4 9x^4 - 2y^4 B.81x4−4y4 81 { x }^4 - 4 { y }^4 C.81x4+4y4 81x^4 + 4y^4 D.4x2+81y2 4x^2 + 81y^2

Mensuration Sample Question If a cube of side 108 m is cut into small cubes each of side 9 m, then how many small cubes will be formed? A.12 B.1728 C.11664 D.None of these

Exponents and Powers Sample Question For each positive integer n, which of the following is also a square number (a perfect square)? A.n2 + 4n + 2 B.n2 + 2n + 2 C.n2 + 2n + 1 D.n2 + 8n + 4

Direct and Inverse Proportions Sample Question The price of 15 kg 15 \space kg of sugar or 7 kg 7 \space kg of mangoes is ₨300.₨ 300. Find the price of 7 kg 7 \space kg of sugar and 14 kg 14 \space kg of mangoes. mangoes sugar A.₨744₨744 B.₨742₨742 C.₨746₨746 D.₨740₨740

Factorisation Sample Question The factors of 100x2+160xy+64y2100x^ { 2 } + 160xy + 64y^ { 2 } are A.(10x+8y)(10 x + 8 y) and (10+8y)(10 + 8 y) B.(10x+8y)(10 x + 8 y) and (10x−8y)(10 x - 8 y) C.(10x−8y)(10 x - 8 y) and (10x−8y)(10 x - 8 y) D.(10x+8y)(10 x + 8 y) and (10x+8y)(10 x + 8 y)

Playing with Numbers Sample Question Which among the following is the units digit of (53098861)3\left(53098861\right)^3? A.1 B.3 C.2 D.4

Full Year 8th Grade Review Sample Question What is the mean of all the internal angles of a hexagon. A.140° B.100° C.110° D.120°

Simple Interest Sample Question Chathura borrowed ₨28800 from Fathima at the rate of 6% simple interest per year. He then returned the money after 3 years and 6 months. How much money did he give to Fathima in total?Chathura Fathima A.₨34848 B.₨34878 C.₨34858 D.₨34838

Compound Interest Sample Question The population of a town was 200,000200,000 three years ago. If it increased by 4%4\%, 7%7\%, and 7.5%7.5\% respectively in the last three years, then the present population of the town is: A.239,252239,252 B.239,212239,212 C.244,252244,252 D.239,452239,452

Multiplication of Polynomials Sample Question What is the value of 5a3(−4a3−5)−2a3(3a3−3)+25a^{ 3 }\left(-4a^{ 3 } - 5\right) - 2a^{ 3 }\left(3a^{ 3 } - 3\right) + 2 at a=3a = 3? A.1916519165 B.1946519465 C.−19465-19465 D.−19165-19165

Data Handling-Probability Statistics Sample Question Supun throws a dice. What is the probability that he will roll a number less than 5? A. 26 B. 46 C. 16 D.0

Logical Reasoning Sample Question If, 9 ♠ 8 = 289 and 5 ♠ 2 = 49, find the value of 4 ♠ 7. A.121 B.77 C.28 D.44

Square and Square Roots

Sample Question

What is the value of $\sqrt{ \dfrac{ 98 }{ 18 } }$ ?

A.
$\dfrac{ \pm7 }{ 9 }$

B.
$\dfrac{ 9 }{ 3 }$

C.
$\dfrac { \pm 7 }{ 3 }$

D.
$\dfrac{ \pm7 }{ 2 }$

Cubes and Cube Root

Sample Question

Find the side of a cube whose volume is $\dfrac{ 50653 }{ 1728 } \space m^3$ .

A. $\dfrac{ 37 }{ 12 } \space m$

B. $\dfrac{ 65 }{ 4 } \space m$

C. $\dfrac{ 37 }{ 4 } \space m$

D. $\dfrac{ 65 }{ 12 } \space m$

Algebraic Expressions and Identities

Sample Question

Find the product of $(9x^2 + 2y^2)(9x^2 - 2y^2)$ .

A.
$9x^4 - 2y^4$

B.
$81 { x }^4 - 4 { y }^4$

C.
$81x^4 + 4y^4$

D.
$4x^2 + 81y^2$

Mensuration

Sample Question

If a cube of side 108 m is cut into small cubes each of side 9 m, then how many small cubes will be formed?

A. 12

B. 1728

C. 11664

D. None of these

Exponents and Powers

Sample Question

For each positive integer n, which of the following is also a square number (a perfect square)?

A. n² + 4n + 2

B. n² + 2n + 2

C. n² + 2n + 1

D. n² + 8n + 4

Direct and Inverse Proportions

Sample Question

The price of $15 \space kg$ of sugar or $7 \space kg$ of mangoes is $₨ 300.$ Find the price of $7 \space kg$ of sugar and $14 \space kg$ of mangoes.
mangoes sugar

A.
$₨744$

B.
$₨742$

C.
$₨746$

D.
$₨740$

Factorisation

Sample Question

The factors of $100x^ { 2 } + 160xy + 64y^ { 2 }$ are

A. $(10 x + 8 y)$ and $(10 + 8 y)$

B. $(10 x + 8 y)$ and $(10 x - 8 y)$

C. $(10 x - 8 y)$ and $(10 x - 8 y)$

D. $(10 x + 8 y)$ and $(10 x + 8 y)$

Playing with Numbers

Sample Question

Which among the following is the units digit of $\left(53098861\right)^3$ ?

A. 1

B. 3

C. 2

D. 4

Full Year 8th Grade Review

Sample Question

What is the mean of all the internal angles of a hexagon.

A. 140°

B. 100°

C. 110°

D. 120°

Simple Interest

Sample Question

Chathura borrowed ₨28800 from Fathima at the rate of 6% simple interest per year. He then returned the money after 3 years and 6 months. How much money did he give to Fathima in total?
Chathura Fathima

A. ₨34848

B. ₨34878

C. ₨34858

D. ₨34838

Compound Interest

Sample Question

The population of a town was $200,000$ three years ago. If it increased by $4\%$ , $7\%$ , and $7.5\%$ respectively in the last three years, then the present population of the town is:

A. $239,252$

B. $239,212$

C. $244,252$

D. $239,452$

Multiplication of Polynomials

Sample Question

What is the value of $5a^{ 3 }\left(-4a^{ 3 } - 5\right) - 2a^{ 3 }\left(3a^{ 3 } - 3\right) + 2$ at $a = 3$ ?

A. $19165$

B. $19465$

C. $-19465$

D. $-19165$

Data Handling-Probability Statistics

Sample Question

Supun throws a dice. What is the probability that he will roll a number less than 5?

A.
2
6

B.
4
6

C.
1
6

D. 0

Logical Reasoning

Sample Question

If, 9 ♠ 8 = 289 and 5 ♠ 2 = 49, find the value of 4 ♠ 7.

A. 121

B. 77

C. 28

D. 44