Grade 8 math worksheets, practice and tests

Rational Numbers

Sample Question

Arrange the following rational numbers in ascending order.
$\dfrac{ -13 }{ 7 }, \dfrac{ 3 }{ -14 }, \dfrac{ 31 }{ 28 }$

A. $\dfrac{ -13 } { 7 } < \dfrac{ 3 } { -14 } < \dfrac{ 31 } { 28 }$

B. $\dfrac{ -13 } { 7 } > \dfrac{ 3 } { -14 } > \dfrac{ 31 } { 28 }$

C. $\dfrac{ 31 } { 28 } < \dfrac{ 3 } { -14 } < \dfrac{ -13 } { 7 }$

D. $\dfrac{ -13 } { 7 } < \dfrac{ 31 } { 28 } < \dfrac{ 3 } { -14 }$

EXPLORE

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 $x:$
$(x-a)^2 + (x^2 -10 x + 21 )^2 = 0$

A.
$16$

B.
$10$

C.
$3$

D.
$13$

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Understanding Quadrilaterals

Sample Question

What is the sum of all interior angles of a polygon of $4$ sides $?$

A.
$3 \text{ right angles }$

B.
$8 \text{ right angles }$

C.
$4 \text{ right angles }$

D.
$6 \text{ right angles }$

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Square and Square Roots

Sample Question

For the school assembly, the students are made to stand so that the number of rows is equal to the number of students in each row. If there are 66 rows, how many students were present at the assembly?

A. 4359

B. 4356

C. 4364

D. 4352

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New Online Test

Unlimited Online Practice

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Cubes and Cube Root

Sample Question

What is the value of $\sqrt[3]{ -729}$ ?

A.
$-15$

B.
$-9$

C.
$-18$

D.
$-3$

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New Online Test

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Comparing Quantities

Sample Question

If selling price of an article is
10
9
of its cost price, then what is the profit % in the transaction?

A.
12 2
9
%

B.
14 4
9
%

C.
11 1
9
%

D.
13 3
9
%

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New Online Test

Unlimited Online Practice

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Algebraic Expressions and Identities

Sample Question

Find factors of $(4n + 5)(n + 7) - 4n - 5$ .

A. $(4n + 5)(n + 6)$

B. $(4n-5)(n + 6)$

C. $(4n + 5)(n-6)$

D. $(-4n + 5)(n + 6)$

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New Online Test

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Visualizing Solid Shapes

Sample Question

Is it possible to have a regular polygon whose each exterior angle is $30\%$ of a right angle?

A. Yes

B. No

C.

D.

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New Online Test

Unlimited Online Practice

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Mensuration

Sample Question

How many small cubes of 4 cm side can be fit into a cuboid of size 16 cm × 24 cm × 40 cm?

A. 240

B. 246

C. 230

D. 250

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New Online Test

Unlimited Online Practice

EXPLORE

Exponents and Powers

Sample Question

Find:
$\begin{align} { \Bigg ( \dfrac { -3 }{ 5 } \Bigg ) } ^ { 3 } \end{align}$

A.
$\dfrac{ 81 }{ 625 }$

B.
$\dfrac{ 27 }{ 125 }$

C.
$\dfrac{ -81 }{ 625 }$

D.
$\dfrac{ -27 } { 125 }$

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Direct and Inverse Proportions

Sample Question

$x$ $35$ $6$ $x _1$ $8$ $x _2$

$y$ $48$ $y _1$ $7$ $y _2$ $5$

In the table $x$ and $y$ are inversely proportional, the values of $x _1, x _2, y _1,$ and $y _2$ are:

A.
$x _1 = 240, x _2 = 336, y _1 = 282 \text{ and } y _2 = 210.$

B.
$x _1 = 240, x _2 = 341, y _1 = 280, \text{ and } y _2 = 210.$

C.
$x _1 = 240, x _2 = 336, y _1 = 280 \text{ and } y _2 = 211.$

D.
$x _1 = 240, x _2 = 336, y _1 = 280, \text{ and } y _2 = 210.$

$x$	$35$	$6$	$x _1$	$8$	$x _2$
$y$	$48$	$y _1$	$7$	$y _2$	$5$

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Factorisation

Sample Question

Factorize:
$121p^4 - 264p^2q^2 + 144q^4$

A.
$\left(11p^2 + q^2\right)\left(11p^2 + 12q^2\right)$

B.
$\left(11p^2 + 12q^2\right)\left(11p^2 - 12q^2\right)$

C.
$\left(11p^2 + 12q^2\right)\left(11p^2 + 12q^2\right)$

D.
$\left(11p^2 - 12q^2\right)\left(11p^2 - 12q^2\right)$

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Introduction to Graphs

Sample Question

A point whose y-coordinate is zero and x-coordinate is non-zero will lie on which axis?

A. y axis

B. x axis

C. Depends on value of x-coordinate

D. Cannot be determined

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New Online Test

Unlimited Online Practice

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Playing with Numbers

Sample Question

Husam picks a three digit number and subtract it from the same number after reversing order of its digits. This difference will always be fully divisible by which of following number?

A. 5

B. 10

C. 99

D. 17

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New Online Test

Unlimited Online Practice

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Full Year 8th Grade Review

Sample Question

If N = 11111², find the 5^th digit in the expansion of N from the right.

A. 4

B. 3

C. 5

D. 7

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New Online Test

Unlimited Online Practice

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Profit-Loss and Discounts

Sample Question

Hameeda bought a new car for $BD30698$ . Then the dealer added $BD2762.82$ . What was the sales tax rate for this purchase?
Hameeda

A. $8\%$

B. $18\%$

C. $9\%$

D. $7\%$

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New Online Test

Unlimited Online Practice

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Simple Interest

Sample Question

If a person lent BD15840 at 6% simple interest per annum for 7 years, then what is the amount received by him at the end of 7 years?
Hana Adela

A. BD22472.8

B. BD22522.8

C. BD22502.8

D. BD22492.8

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New Online Test

Unlimited Online Practice

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Compound Interest

Sample Question

Find compound interest on BD20000 for 3 years at 3% per annum compounded annually.
Emad Ali

A. BD1874.54

B. BD1854.54

C. BD2039.994

D. BD1893.54

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New Online Test

Unlimited Online Practice

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Multiplication of Polynomials

Sample Question

If the length and width of a rectangle are (7y² + 2y + 5) and ( -5y² + 4y + 8), find the area of the rectangle.

A. - 35y⁴ + 18y³ + 39y² + 36y + 40

B. - 35y⁴ - 18y³ + 39y² + 36y + 40

C. - 35y⁴ + 18y³ + 39y² + 36y - 40

D. - 35y⁴ + 18y³ - 39y² + 36y + 40

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Division of Polynomials

Sample Question

(8ab - 16b + 9a - 18) ÷ (a - 2) = ?

A. -9b + 8

B. 9b + 8

C. 8b - 9

D. 8b + 9

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New Online Test

Unlimited Online Practice

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Data Handling-Probability Statistics

Sample Question

Ibrahim throws a dice. What is the probability that he will roll a number less than 6?

A.
2
6

B. 1

C.
5
6

D. 0

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New Online Test

Unlimited Online Practice

EXPLORE

Logical Reasoning

Sample Question

What is the missing number in the series: 1, 2, 4, 3, __4, 16, 5, 25, 6, 36, 7 ?

A. 16

B. 4

C. 9

D. 3

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Grade 8 Math

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 $x:$
$(x-a)^2 + (x^2 -10 x + 21 )^2 = 0$

A.
$16$

B.
$10$

C.
$3$

D.
$13$

Understanding Quadrilaterals

Sample Question

What is the sum of all interior angles of a polygon of $4$ sides $?$

A.
$3 \text{ right angles }$

B.
$8 \text{ right angles }$

C.
$4 \text{ right angles }$

D.
$6 \text{ right angles }$

Square and Square Roots

Sample Question

For the school assembly, the students are made to stand so that the number of rows is equal to the number of students in each row. If there are 66 rows, how many students were present at the assembly?

A. 4359

B. 4356

C. 4364

D. 4352

Cubes and Cube Root

Sample Question

What is the value of $\sqrt[3]{ -729}$ ?

A.
$-15$

B.
$-9$

C.
$-18$

D.
$-3$

Comparing Quantities

Sample Question

If selling price of an article is
10
9
of its cost price, then what is the profit % in the transaction?

A.
12 2
9
%

B.
14 4
9
%

C.
11 1
9
%

D.
13 3
9
%

Algebraic Expressions and Identities

Sample Question

Find factors of $(4n + 5)(n + 7) - 4n - 5$ .

A. $(4n + 5)(n + 6)$

B. $(4n-5)(n + 6)$

C. $(4n + 5)(n-6)$

D. $(-4n + 5)(n + 6)$

Visualizing Solid Shapes

Sample Question

Is it possible to have a regular polygon whose each exterior angle is $30\%$ of a right angle?

A. Yes

B. No

C.

D.

Mensuration

Sample Question

How many small cubes of 4 cm side can be fit into a cuboid of size 16 cm × 24 cm × 40 cm?

A. 240

B. 246

C. 230

D. 250

Exponents and Powers

Sample Question

Find:
$\begin{align} { \Bigg ( \dfrac { -3 }{ 5 } \Bigg ) } ^ { 3 } \end{align}$

A.
$\dfrac{ 81 }{ 625 }$

B.
$\dfrac{ 27 }{ 125 }$

C.
$\dfrac{ -81 }{ 625 }$

D.
$\dfrac{ -27 } { 125 }$

Introduction to Graphs

Sample Question

A point whose y-coordinate is zero and x-coordinate is non-zero will lie on which axis?

A. y axis

B. x axis

C. Depends on value of x-coordinate

D. Cannot be determined

Playing with Numbers

Sample Question

Husam picks a three digit number and subtract it from the same number after reversing order of its digits. This difference will always be fully divisible by which of following number?

A. 5

B. 10

C. 99

D. 17

Full Year 8th Grade Review

Sample Question

If N = 11111², find the 5^th digit in the expansion of N from the right.

A. 4

B. 3

C. 5

D. 7

Profit-Loss and Discounts

Sample Question

Hameeda bought a new car for $BD30698$ . Then the dealer added $BD2762.82$ . What was the sales tax rate for this purchase?
Hameeda

A. $8\%$

B. $18\%$

C. $9\%$

D. $7\%$

Simple Interest

Sample Question

If a person lent BD15840 at 6% simple interest per annum for 7 years, then what is the amount received by him at the end of 7 years?
Hana Adela

A. BD22472.8

B. BD22522.8

C. BD22502.8

D. BD22492.8

Compound Interest

Sample Question

Find compound interest on BD20000 for 3 years at 3% per annum compounded annually.
Emad Ali

A. BD1874.54

B. BD1854.54

C. BD2039.994

D. BD1893.54

Division of Polynomials

Sample Question

(8ab - 16b + 9a - 18) ÷ (a - 2) = ?

A. -9b + 8

B. 9b + 8

C. 8b - 9

D. 8b + 9

Data Handling-Probability Statistics

Sample Question

Ibrahim throws a dice. What is the probability that he will roll a number less than 6?

A.
2
6

B. 1

C.
5
6

D. 0

Logical Reasoning

Sample Question

What is the missing number in the series: 1, 2, 4, 3, __4, 16, 5, 25, 6, 36, 7 ?

A. 16

B. 4

C. 9

D. 3

A.	$\dfrac{ -13 } { 7 } < \dfrac{ 3 } { -14 } < \dfrac{ 31 } { 28 }$
B.	$\dfrac{ -13 } { 7 } > \dfrac{ 3 } { -14 } > \dfrac{ 31 } { 28 }$
C.	$\dfrac{ 31 } { 28 } < \dfrac{ 3 } { -14 } < \dfrac{ -13 } { 7 }$
D.	$\dfrac{ -13 } { 7 } < \dfrac{ 31 } { 28 } < \dfrac{ 3 } { -14 }$

A.	$3 \text{ right angles }$
B.	$8 \text{ right angles }$
C.	$4 \text{ right angles }$
D.	$6 \text{ right angles }$

A.	$(4n + 5)(n + 6)$
B.	$(4n-5)(n + 6)$
C.	$(4n + 5)(n-6)$
D.	$(-4n + 5)(n + 6)$

A.	$\dfrac{ 81 }{ 625 }$
B.	$\dfrac{ 27 }{ 125 }$
C.	$\dfrac{ -81 }{ 625 }$
D.	$\dfrac{ -27 } { 125 }$

A.	$x _1 = 240, x _2 = 336, y _1 = 282 \text{ and } y _2 = 210.$
B.	$x _1 = 240, x _2 = 341, y _1 = 280, \text{ and } y _2 = 210.$
C.	$x _1 = 240, x _2 = 336, y _1 = 280 \text{ and } y _2 = 211.$
D.	$x _1 = 240, x _2 = 336, y _1 = 280, \text{ and } y _2 = 210.$

A.	$\left(11p^2 + q^2\right)\left(11p^2 + 12q^2\right)$
B.	$\left(11p^2 + 12q^2\right)\left(11p^2 - 12q^2\right)$
C.	$\left(11p^2 + 12q^2\right)\left(11p^2 + 12q^2\right)$
D.	$\left(11p^2 - 12q^2\right)\left(11p^2 - 12q^2\right)$

A.	y axis
B.	x axis
C.	Depends on value of x-coordinate
D.	Cannot be determined

A.	- 35y⁴ + 18y³ + 39y² + 36y + 40
B.	- 35y⁴ - 18y³ + 39y² + 36y + 40
C.	- 35y⁴ + 18y³ + 39y² + 36y - 40
D.	- 35y⁴ + 18y³ - 39y² + 36y + 40

Grade 8 Math

Linear Equations of One Variable Sample Question Find the sum of all possible values of aa a such that the following equation has real root in x:x: x: (x−a)2+(x2−10x+21)2=0(x−a)2+(x2−10x+21)2=0 (x-a)^2 + (x^2 -10 x + 21 )^2 = 0 A. 1616 16 B. 1010 10 C. 33 3 D. 1313 13

Square and Square Roots Sample Question For the school assembly, the students are made to stand so that the number of rows is equal to the number of students in each row. If there are 66 rows, how many students were present at the assembly? A.4359 B.4356 C.4364 D.4352

Cubes and Cube Root Sample Question What is the value of 3√−7293√−729\sqrt[3]{ -729}? A.−15−15 -15 B.−9−9-9 C.−18−18 -18 D.−3−3 -3

Comparing Quantities Sample Question If selling price of an article is 109 of its cost price, then what is the profit % in the transaction? A. 1229 % B. 1449 % C. 1119 % D. 1339 %

Visualizing Solid Shapes Sample Question Is it possible to have a regular polygon whose each exterior angle is 30%30%30\% of a right angle? A.Yes B.No C. D.

Mensuration Sample Question How many small cubes of 4 cm side can be fit into a cuboid of size 16 cm × 24 cm × 40 cm? A.240 B.246 C.230 D.250

Exponents and Powers Sample Question Find: (−35)3 \begin{align} { \Bigg ( \dfrac { -3 }{ 5 } \Bigg ) } ^ { 3 } \end{align} A.81625 \dfrac{ 81 }{ 625 } B.27125 \dfrac{ 27 }{ 125 } C.−81625 \dfrac{ -81 }{ 625 } D.−27125\dfrac{ -27 } { 125 }

Introduction to Graphs Sample Question A point whose y-coordinate is zero and x-coordinate is non-zero will lie on which axis? A.y axis B.x axis C.Depends on value of x-coordinate D.Cannot be determined

Playing with Numbers Sample Question Husam picks a three digit number and subtract it from the same number after reversing order of its digits. This difference will always be fully divisible by which of following number? A.5 B.10 C.99 D.17

Full Year 8th Grade Review Sample Question If N = 111112, find the 5th digit in the expansion of N from the right. A.4 B.3 C.5 D.7

Profit-Loss and Discounts Sample Question Hameeda bought a new car for BD30698BD30698. Then the dealer added BD2762.82BD2762.82. What was the sales tax rate for this purchase?Hameeda A.8%8\% B.18%18\% C.9%9\% D.7%7\%

Simple Interest Sample Question If a person lent BD15840 at 6% simple interest per annum for 7 years, then what is the amount received by him at the end of 7 years?Hana Adela A.BD22472.8 B.BD22522.8 C.BD22502.8 D.BD22492.8

Compound Interest Sample Question Find compound interest on BD20000 for 3 years at 3% per annum compounded annually.Emad Ali A.BD1874.54 B.BD1854.54 C.BD2039.994 D.BD1893.54

Multiplication of Polynomials Sample Question If the length and width of a rectangle are (7y2 + 2y + 5) and ( -5y2 + 4y + 8), find the area of the rectangle. A. - 35y4 + 18y3 + 39y2 + 36y + 40 B. - 35y4 - 18y3 + 39y2 + 36y + 40 C. - 35y4 + 18y3 + 39y2 + 36y - 40 D. - 35y4 + 18y3 - 39y2 + 36y + 40

Division of Polynomials Sample Question (8ab - 16b + 9a - 18) ÷ (a - 2) = ? A. -9b + 8 B.9b + 8 C.8b - 9 D.8b + 9

Data Handling-Probability Statistics Sample Question Ibrahim throws a dice. What is the probability that he will roll a number less than 6? A. 26 B.1 C. 56 D.0

Logical Reasoning Sample Question What is the missing number in the series: 1, 2, 4, 3, __4, 16, 5, 25, 6, 36, 7 ? A.16 B.4 C.9 D.3

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 $x:$
$(x-a)^2 + (x^2 -10 x + 21 )^2 = 0$

A.
$16$

B.
$10$

C.
$3$

D.
$13$

Square and Square Roots

Sample Question

For the school assembly, the students are made to stand so that the number of rows is equal to the number of students in each row. If there are 66 rows, how many students were present at the assembly?

A. 4359

B. 4356

C. 4364

D. 4352

Cubes and Cube Root

Sample Question

What is the value of $\sqrt[3]{ -729}$ ?

A.
$-15$

B.
$-9$

C.
$-18$

D.
$-3$

Comparing Quantities

Sample Question

If selling price of an article is
10
9
of its cost price, then what is the profit % in the transaction?

A.
12 2
9
%

B.
14 4
9
%

C.
11 1
9
%

D.
13 3
9
%

Visualizing Solid Shapes

Sample Question

Is it possible to have a regular polygon whose each exterior angle is $30\%$ of a right angle?

A. Yes

B. No

C.

D.

Mensuration

Sample Question

How many small cubes of 4 cm side can be fit into a cuboid of size 16 cm × 24 cm × 40 cm?

A. 240

B. 246

C. 230

D. 250

Exponents and Powers

Sample Question

Find:
$\begin{align} { \Bigg ( \dfrac { -3 }{ 5 } \Bigg ) } ^ { 3 } \end{align}$

A.
$\dfrac{ 81 }{ 625 }$

B.
$\dfrac{ 27 }{ 125 }$

C.
$\dfrac{ -81 }{ 625 }$

D.
$\dfrac{ -27 } { 125 }$

Introduction to Graphs

Sample Question

A point whose y-coordinate is zero and x-coordinate is non-zero will lie on which axis?

A. y axis

B. x axis

C. Depends on value of x-coordinate

D. Cannot be determined

Playing with Numbers

Sample Question

Husam picks a three digit number and subtract it from the same number after reversing order of its digits. This difference will always be fully divisible by which of following number?

A. 5

B. 10

C. 99

D. 17

Full Year 8th Grade Review

Sample Question

If N = 11111², find the 5^th digit in the expansion of N from the right.

A. 4

B. 3

C. 5

D. 7

Profit-Loss and Discounts

Sample Question

Hameeda bought a new car for $BD30698$ . Then the dealer added $BD2762.82$ . What was the sales tax rate for this purchase?
Hameeda

A. $8\%$

B. $18\%$

C. $9\%$

D. $7\%$

Simple Interest

Sample Question

If a person lent BD15840 at 6% simple interest per annum for 7 years, then what is the amount received by him at the end of 7 years?
Hana Adela

A. BD22472.8

B. BD22522.8

C. BD22502.8

D. BD22492.8

Compound Interest

Sample Question

Find compound interest on BD20000 for 3 years at 3% per annum compounded annually.
Emad Ali

A. BD1874.54

B. BD1854.54

C. BD2039.994

D. BD1893.54

Division of Polynomials

Sample Question

(8ab - 16b + 9a - 18) ÷ (a - 2) = ?

A. -9b + 8

B. 9b + 8

C. 8b - 9

D. 8b + 9

Data Handling-Probability Statistics

Sample Question

Ibrahim throws a dice. What is the probability that he will roll a number less than 6?

A.
2
6

B. 1

C.
5
6

D. 0

Logical Reasoning

Sample Question

What is the missing number in the series: 1, 2, 4, 3, __4, 16, 5, 25, 6, 36, 7 ?

A. 16

B. 4

C. 9

D. 3