Grade 8 math worksheets, practice and tests

Rational Numbers

Sample Question

Which of the following statements are correct?

A. If $a^2$ ends in $9$ , then $a^3$ ends in $7$ .

B. If $a$ and $b$ are integers such that $a^2 > b^2$ , then $a^3 > b^3$ .

C. There is no perfect cube that ends in $4$ .

D. If $a$ divides $b$ , then $a^3$ divides $b^3$ .

EXPLORE

Linear Equations of One Variable

Sample Question

Simplify:
$9\left\{m + 7\left(n + \overline{ m + 5n }\right)\right\}$

A. $72m + 378n$

B. $72m - 315n$

C. $72m - 378n$

D. $72m + 315n$

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Understanding Quadrilaterals

Sample Question

A man walking at the speed of $9 \space km/hr$ , crosses a square field diagonally in $7$ minutes. What is the area of the field?

A. $553250 \space m^2$

B. $551250 \space m^2$

C. $550950 \space m^2$

D. $552050 \space m^2$

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New Online Test

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Square and Square Roots

Sample Question

Evaluate:
$[(4531)^2 - (4530)^2]$

A. 9062

B. 9061

C. 13590

D. 9060

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Cubes and Cube Root

Sample Question

Evalute $\left(\dfrac{ 3 }{ 7 }\right)^3$

A.
$\dfrac { 3 }{ 343 }$

B.
$\dfrac { 9 }{ 49}$

C.
$\dfrac { 343 }{ 27 }$

D. $\dfrac{ 27 }{ 343 }$

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New Online Test

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Comparing Quantities

Sample Question

Ngan borrowed $₫ 90000$ from Mellisa for $2$ years at compound interest. Find the rate of interest charged by Mellisa if she received $₫ 101124$ at the end of $2$ years.
Ngan Mellisa

A.
$5 \%$

B.
$11 \%$

C.
$7 \%$

D.
$6 \%$

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New Online Test

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Visualizing Solid Shapes

Sample Question

Identify an open curve that is made up of line segment only.

A.

B.

C.

D.

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EXPLORE

Mensuration

Sample Question

If each side of a cube is tripled, find the factor by which the volume of the cube will change.

A. 6 times

B. 27 times

C. 3 times

D. 9 times

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Exponents and Powers

Sample Question

A rope makes $115$ rounds of a cylinder with base radius $18 \space cm$ . How many times can it go round a cylinder with base radius $15 \space cm$ ?

A. $148$

B. $140$

C. $158$

D. $138$

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New Online Test

Unlimited Online Practice

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Direct and Inverse Proportions

Sample Question

7 workers can paint a building in 8 days. If work has to be finished in 2 days, find the number of extra workers required.

A. 21

B. 22

C. 23

D. 20

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New Online Test

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Factorisation

Sample Question

Find factors of polynomial (a² + 4ab + 4b² - 4c²).

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

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

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

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

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Introduction to Graphs

Sample Question

The line graph provides the sales of dolls of a company from Monday to Saturday on a particular week. Given that the cost of one doll is $₫26$ .

How much did the company receive from the sale of dolls on Friday?

A. $₫1300$

B. $₫1290$

C. $₫1302$

D. $₫1310$

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Playing with Numbers

Sample Question

Tugleo picks a three digit number and subtract it from the same number after reversing order of its digits. If this difference is divided by 11, find the remainder.

A. 1

B. 0

C. 2

D. Can not be determined without knowing exact number

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New Online Test

Unlimited Online Practice

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Full Year 8th Grade Review

Sample Question

If 10% of 130 = x% of 52, then what is the value of x?

A. 27

B. 25

C. 32

D. 40

New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Profit-Loss and Discounts

Sample Question

Oanh
Oanh purchases two decoratives for $₫ 4820$ each. She sold these decoratives, losing $2 \%$ on one and gaining $4 \%$ on the other. Find her gain or loss percent in the whole transaction.

A.
$2 \%$

B.
$1 \%$

C.
$6 \%$

D.
$4 \%$

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New Online Test

Unlimited Online Practice

EXPLORE

Simple Interest

Sample Question

Oanh borrowed ₫23040 from Hyeon at the rate of 14% simple interest per year. She then returned the money after 2 years and 4 months. How much money did she give to Hyeon in total?
Oanh Hyeon

A. ₫30596.4

B. ₫30586.4

C. ₫30556.4

D. ₫30566.4

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Compound Interest

Sample Question

$20000$ blood donors were registered with a charitable hospital. The number of donors increased at the rate of $2\%$ every six months. What is the time period at the end of which the total number of blood donors becomes $20808$ ?

A. $1\dfrac{1}{2}$

B. $1$

C. $2$

D. $5\dfrac{1}{2}$

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New Online Test

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Multiplication of Polynomials

Sample Question

Simplify the following polynomial expressions:
[( -y² + 3y - 3) × (4y² + y - 5)] + ( -4y² + 2y - 3)

A. 8y² - 16y + 12

B. - 4y⁴ + 11y³ - 8y² - 16y + 12

C. - 8y² + 16y - 12

D. - 8y² - 16y - 12

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Division of Polynomials

Sample Question

The volume of a rectangular solid is given by the polynomial $84x^ { 4 } + 76x^ { 3 } + 64x^ { 2 } + 16x$ . The length of the solid is given by $2x$ and the width is given by $6x + 2$ . Find the height of the solid.

A.
$7x^ { 2 } + 4x + 4$

B.
$-6x^ { 2 } + x + 8$

C.
$-9x + 7$

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

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Data Handling-Probability Statistics

Sample Question

A poll is taken among $10000$ people working in Ha Noi. The aim was to see what their annual salaries were.
Annual Salary Number of people
Less than $₫40000$ $140$
$₫40001$ to $₫75000$ $700$
$₫75001$ to $₫150000$ $960$
$₫150001$ to $₫250000$ $3280$
More than $₫250000$ $4920$
If you choose a person at random from this group, what is the probability that he or she earns more than $₫75000$ annually?
Ha Noi

A.
$\dfrac { 241 } { 250 }$

B.
$\dfrac { 230 } { 250 }$

C.
$\dfrac { 237 } { 250 }$

D.
$\dfrac { 229 } { 250 }$

Annual Salary	Number of people
Less than $₫40000$	$140$
$₫40001$ to $₫75000$	$700$
$₫75001$ to $₫150000$	$960$
$₫150001$ to $₫250000$	$3280$
More than $₫250000$	$4920$

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New Online Test

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Logical Reasoning

Sample Question

5 teams compete in a track competition. If there are 18 events in the competition, no event ends in a tie, and no team wins more than 4 events, what is the minimum possible number of teams that won at least two events?

A. 3

B. 7

C. 6

D. 5

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New Online Test

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Grade 8 Math

Linear Equations of One Variable

Sample Question

Simplify:
$9\left\{m + 7\left(n + \overline{ m + 5n }\right)\right\}$

A. $72m + 378n$

B. $72m - 315n$

C. $72m - 378n$

D. $72m + 315n$

Understanding Quadrilaterals

Sample Question

A man walking at the speed of $9 \space km/hr$ , crosses a square field diagonally in $7$ minutes. What is the area of the field?

A. $553250 \space m^2$

B. $551250 \space m^2$

C. $550950 \space m^2$

D. $552050 \space m^2$

Square and Square Roots

Sample Question

Evaluate:
$[(4531)^2 - (4530)^2]$

A. 9062

B. 9061

C. 13590

D. 9060

Cubes and Cube Root

Sample Question

Evalute $\left(\dfrac{ 3 }{ 7 }\right)^3$

A.
$\dfrac { 3 }{ 343 }$

B.
$\dfrac { 9 }{ 49}$

C.
$\dfrac { 343 }{ 27 }$

D. $\dfrac{ 27 }{ 343 }$

Comparing Quantities

Sample Question

Ngan borrowed $₫ 90000$ from Mellisa for $2$ years at compound interest. Find the rate of interest charged by Mellisa if she received $₫ 101124$ at the end of $2$ years.
Ngan Mellisa

A.
$5 \%$

B.
$11 \%$

C.
$7 \%$

D.
$6 \%$

Algebraic Expressions and Identities

Sample Question

(y² - 81) ÷ (y - 9) = ?

A. -9y + 1

B. y + 9

C. -y + 9

D. 9y + 1

Visualizing Solid Shapes

Sample Question

Identify an open curve that is made up of line segment only.

A.

B.

C.

D.

Mensuration

Sample Question

If each side of a cube is tripled, find the factor by which the volume of the cube will change.

A. 6 times

B. 27 times

C. 3 times

D. 9 times

Exponents and Powers

Sample Question

A rope makes $115$ rounds of a cylinder with base radius $18 \space cm$ . How many times can it go round a cylinder with base radius $15 \space cm$ ?

A. $148$

B. $140$

C. $158$

D. $138$

Direct and Inverse Proportions

Sample Question

7 workers can paint a building in 8 days. If work has to be finished in 2 days, find the number of extra workers required.

A. 21

B. 22

C. 23

D. 20

Factorisation

Sample Question

Find factors of polynomial (a² + 4ab + 4b² - 4c²).

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

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

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

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

Playing with Numbers

Sample Question

Tugleo picks a three digit number and subtract it from the same number after reversing order of its digits. If this difference is divided by 11, find the remainder.

A. 1

B. 0

C. 2

D. Can not be determined without knowing exact number

Full Year 8th Grade Review

Sample Question

If 10% of 130 = x% of 52, then what is the value of x?

A. 27

B. 25

C. 32

D. 40

Profit-Loss and Discounts

Sample Question

Oanh
Oanh purchases two decoratives for $₫ 4820$ each. She sold these decoratives, losing $2 \%$ on one and gaining $4 \%$ on the other. Find her gain or loss percent in the whole transaction.

A.
$2 \%$

B.
$1 \%$

C.
$6 \%$

D.
$4 \%$

Simple Interest

Sample Question

Oanh borrowed ₫23040 from Hyeon at the rate of 14% simple interest per year. She then returned the money after 2 years and 4 months. How much money did she give to Hyeon in total?
Oanh Hyeon

A. ₫30596.4

B. ₫30586.4

C. ₫30556.4

D. ₫30566.4

Multiplication of Polynomials

Sample Question

Simplify the following polynomial expressions:
[( -y² + 3y - 3) × (4y² + y - 5)] + ( -4y² + 2y - 3)

A. 8y² - 16y + 12

B. - 4y⁴ + 11y³ - 8y² - 16y + 12

C. - 8y² + 16y - 12

D. - 8y² - 16y - 12

Logical Reasoning

Sample Question

5 teams compete in a track competition. If there are 18 events in the competition, no event ends in a tie, and no team wins more than 4 events, what is the minimum possible number of teams that won at least two events?

A. 3

B. 7

C. 6

D. 5

A.	If $a^2$ ends in $9$ , then $a^3$ ends in $7$ .
B.	If $a$ and $b$ are integers such that $a^2 > b^2$ , then $a^3 > b^3$ .
C.	There is no perfect cube that ends in $4$ .
D.	If $a$ divides $b$ , then $a^3$ divides $b^3$ .

A.	$553250 \space m^2$
B.	$551250 \space m^2$
C.	$550950 \space m^2$
D.	$552050 \space m^2$

A.	$\dfrac { 3 }{ 343 }$
B.	$\dfrac { 9 }{ 49}$
C.	$\dfrac { 343 }{ 27 }$
D.	$\dfrac{ 27 }{ 343 }$

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

A.	1
B.	0
C.	2
D.	Can not be determined without knowing exact number

A.	8y² - 16y + 12
B.	- 4y⁴ + 11y³ - 8y² - 16y + 12
C.	- 8y² + 16y - 12
D.	- 8y² - 16y - 12

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

A.	$\dfrac { 241 } { 250 }$
B.	$\dfrac { 230 } { 250 }$
C.	$\dfrac { 237 } { 250 }$
D.	$\dfrac { 229 } { 250 }$

Grade 8 Math

Rational Numbers Sample Question Which of the following statements are correct? A.If a2a^2 ends in 99, then a3a^3 ends in 77. B.If aa and bb are integers such that a2>b2a^2 > b^2, then a3>b3a^3 > b^3. C.There is no perfect cube that ends in 44. D.If aa divides bb, then a3a^3 divides b3b^3.

Linear Equations of One Variable Sample Question Simplify:9{m+7(n+¯m+5n)}9\left\{m + 7\left(n + \overline{ m + 5n }\right)\right\} A.72m+378n72m + 378n B.72m−315n72m - 315n C.72m−378n72m - 378n D.72m+315n72m + 315n

Understanding Quadrilaterals Sample Question A man walking at the speed of 9 km/hr9 \space km/hr, crosses a square field diagonally in 77 minutes. What is the area of the field? A.553250 m2553250 \space m^2 B.551250 m2551250 \space m^2 C.550950 m2550950 \space m^2 D.552050 m2552050 \space m^2

Square and Square Roots Sample Question Evaluate: [(4531)2−(4530)2] [(4531)^2 - (4530)^2] A.9062 B.9061 C.13590 D.9060

Cubes and Cube Root Sample Question Evalute (37)3\left(\dfrac{ 3 }{ 7 }\right)^3 A.3343\dfrac { 3 }{ 343 } B.949\dfrac { 9 }{ 49} C.34327\dfrac { 343 }{ 27 } D.27343\dfrac{ 27 }{ 343 }

Comparing Quantities Sample Question Ngan borrowed ₫90000₫ 90000 from Mellisa for 2 2 years at compound interest. Find the rate of interest charged by Mellisa if she received ₫101124 ₫ 101124 at the end of 2 2 years.Ngan Mellisa A.5% 5 \% B.11% 11 \% C.7% 7 \% D.6% 6 \%

Algebraic Expressions and Identities Sample Question (y2 - 81) ÷ (y - 9) = ? A. -9y + 1 B.y + 9 C. -y + 9 D.9y + 1

Visualizing Solid Shapes Sample Question Identify an open curve that is made up of line segment only. A. B. C. D.

Mensuration Sample Question If each side of a cube is tripled, find the factor by which the volume of the cube will change. A.6 times B.27 times C.3 times D.9 times

Exponents and Powers Sample Question A rope makes 115115 rounds of a cylinder with base radius 18 cm18 \space cm. How many times can it go round a cylinder with base radius 15 cm15 \space cm? A.148148 B.140140 C.158158 D.138138

Direct and Inverse Proportions Sample Question 7 workers can paint a building in 8 days. If work has to be finished in 2 days, find the number of extra workers required. A.21 B.22 C.23 D.20

Factorisation Sample Question Find factors of polynomial (a2 + 4ab + 4b2 - 4c2). A.(a + 2b + 2c) (a + 2b + 2c ) B.(a + 2b - 2c) (a + 2b - 2c ) C.(a - 2b + 2c) (a + 2b - 2c ) D.(a + 2b + 2c) (a + 2b - 2c )

Playing with Numbers Sample Question Tugleo picks a three digit number and subtract it from the same number after reversing order of its digits. If this difference is divided by 11, find the remainder. A.1 B.0 C.2 D.Can not be determined without knowing exact number

Full Year 8th Grade Review Sample Question If 10% of 130 = x% of 52, then what is the value of x? A.27 B.25 C.32 D.40

Profit-Loss and Discounts Sample Question OanhOanh purchases two decoratives for ₫4820₫ 4820 each. She sold these decoratives, losing 2%2 \% on one and gaining 4%4 \% on the other. Find her gain or loss percent in the whole transaction. A. 2% 2 \% B. 1%1 \% C.6% 6 \% D. 4% 4 \%

Simple Interest Sample Question Oanh borrowed ₫23040 from Hyeon at the rate of 14% simple interest per year. She then returned the money after 2 years and 4 months. How much money did she give to Hyeon in total?Oanh Hyeon A.₫30596.4 B.₫30586.4 C.₫30556.4 D.₫30566.4

Multiplication of Polynomials Sample Question Simplify the following polynomial expressions:[( -y2 + 3y - 3) × (4y2 + y - 5)] + ( -4y2 + 2y - 3) A.8y2 - 16y + 12 B. - 4y4 + 11y3 - 8y2 - 16y + 12 C. - 8y2 + 16y - 12 D. - 8y2 - 16y - 12

Logical Reasoning Sample Question 5 teams compete in a track competition. If there are 18 events in the competition, no event ends in a tie, and no team wins more than 4 events, what is the minimum possible number of teams that won at least two events? A.3 B.7 C.6 D.5

Linear Equations of One Variable

Sample Question

Simplify:
$9\left\{m + 7\left(n + \overline{ m + 5n }\right)\right\}$

A. $72m + 378n$

B. $72m - 315n$

C. $72m - 378n$

D. $72m + 315n$

Understanding Quadrilaterals

Sample Question

A man walking at the speed of $9 \space km/hr$ , crosses a square field diagonally in $7$ minutes. What is the area of the field?

A. $553250 \space m^2$

B. $551250 \space m^2$

C. $550950 \space m^2$

D. $552050 \space m^2$

Square and Square Roots

Sample Question

Evaluate:
$[(4531)^2 - (4530)^2]$

A. 9062

B. 9061

C. 13590

D. 9060

Cubes and Cube Root

Sample Question

Evalute $\left(\dfrac{ 3 }{ 7 }\right)^3$

A.
$\dfrac { 3 }{ 343 }$

B.
$\dfrac { 9 }{ 49}$

C.
$\dfrac { 343 }{ 27 }$

D. $\dfrac{ 27 }{ 343 }$

Comparing Quantities

Sample Question

Ngan borrowed $₫ 90000$ from Mellisa for $2$ years at compound interest. Find the rate of interest charged by Mellisa if she received $₫ 101124$ at the end of $2$ years.
Ngan Mellisa

A.
$5 \%$

B.
$11 \%$

C.
$7 \%$

D.
$6 \%$

Algebraic Expressions and Identities

Sample Question

(y² - 81) ÷ (y - 9) = ?

A. -9y + 1

B. y + 9

C. -y + 9

D. 9y + 1

Visualizing Solid Shapes

Sample Question

Identify an open curve that is made up of line segment only.

A.

B.

C.

D.

Mensuration

Sample Question

If each side of a cube is tripled, find the factor by which the volume of the cube will change.

A. 6 times

B. 27 times

C. 3 times

D. 9 times

Exponents and Powers

Sample Question

A rope makes $115$ rounds of a cylinder with base radius $18 \space cm$ . How many times can it go round a cylinder with base radius $15 \space cm$ ?

A. $148$

B. $140$

C. $158$

D. $138$

Direct and Inverse Proportions

Sample Question

7 workers can paint a building in 8 days. If work has to be finished in 2 days, find the number of extra workers required.

A. 21

B. 22

C. 23

D. 20

Factorisation

Sample Question

Find factors of polynomial (a² + 4ab + 4b² - 4c²).

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

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

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

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

Playing with Numbers

Sample Question

Tugleo picks a three digit number and subtract it from the same number after reversing order of its digits. If this difference is divided by 11, find the remainder.

A. 1

B. 0

C. 2

D. Can not be determined without knowing exact number

Full Year 8th Grade Review

Sample Question

If 10% of 130 = x% of 52, then what is the value of x?

A. 27

B. 25

C. 32

D. 40

Profit-Loss and Discounts

Sample Question

Oanh
Oanh purchases two decoratives for $₫ 4820$ each. She sold these decoratives, losing $2 \%$ on one and gaining $4 \%$ on the other. Find her gain or loss percent in the whole transaction.

A.
$2 \%$

B.
$1 \%$

C.
$6 \%$

D.
$4 \%$

Simple Interest

Sample Question

Oanh borrowed ₫23040 from Hyeon at the rate of 14% simple interest per year. She then returned the money after 2 years and 4 months. How much money did she give to Hyeon in total?
Oanh Hyeon

A. ₫30596.4

B. ₫30586.4

C. ₫30556.4

D. ₫30566.4

Multiplication of Polynomials

Sample Question

Simplify the following polynomial expressions:
[( -y² + 3y - 3) × (4y² + y - 5)] + ( -4y² + 2y - 3)

A. 8y² - 16y + 12

B. - 4y⁴ + 11y³ - 8y² - 16y + 12

C. - 8y² + 16y - 12

D. - 8y² - 16y - 12

Logical Reasoning

Sample Question

5 teams compete in a track competition. If there are 18 events in the competition, no event ends in a tie, and no team wins more than 4 events, what is the minimum possible number of teams that won at least two events?

A. 3

B. 7

C. 6

D. 5