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

Rational Numbers

Sample Question

Find the area of a square plot whose each side measures ^@ \dfrac { 61 } { 4 } ^@ m.

A.
^@ \dfrac { 3722 } { 16 } m^2 ^@

B.
^@ \dfrac { 3723 } { 17 } m^2 ^@

C.
^@ \dfrac { 3721 } { 16 } ^@ ^@ m^2 ^@

D.
^@ \dfrac { 3724 } { 18 } m^2 ^@

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Linear Equations of One Variable

Sample Question

For any four numbers p, q, r and s, the mathematical representation

p q
r s

means p × s - q × r.

If

2x 1
x 2

= 12,

find the value of x.

A. 6

B. 5

C. 4

D. 2

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Understanding Quadrilaterals

Sample Question

Find the number of sides of a regular polygon whose each exterior angle is ^@ 45 ^ \circ. ^@

A.
^@6^@

B.
^@ 8 ^@

C.
^@9^@

D.
^@13^@

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Square and Square Roots

Sample Question

What is the expansion of (a + b)²?

A. a² + 2ab + b

B. a + 2ab + b²

C. a² -2ab + b²

D. a² + 2ab + b²

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Cubes and Cube Root

Sample Question

What is the value of ^@ \sqrt[3]{ \dfrac{ -250 } { 54 } } ^@ ?

A.
^@ \dfrac { -2 } { 5 } ^@

B.
^@ \dfrac { -2 } { 3 } ^@

C.
^@ \dfrac { -3 } { 2 } ^@

D.
^@ \dfrac { -5 } { 3 } ^@

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Comparing Quantities

Sample Question

Christopher deposited €1000 in bank on 7th May 1989 and withdrew on 7th January 1990. Find the interest earned by him at simple interest of 18% pa.

A. €96

B. €132

C. €108

D. €120

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Visualizing Solid Shapes

Sample Question

Which of the following is a possible number of diagonals of a convex polygon?

A.
^@32^@

B.
^@56^@

C.
^@20^@

D.
^@59^@

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Mensuration

Sample Question

Katharina's father had a rhombus shaped plot with diagonals of 4 and 8 meters long. He sold the plot and bought a square shaped plot of same area. Find the perimeter of new plot.

A. 16 meters

B. 18 meters

C. 22 meters

D. 12 meters

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Direct and Inverse Proportions

Sample Question

A number 649 is divided into two parts in the ratio 4:7. What is the product of the numbers?

A. 97494

B. 97472

C. 97482

D. 97468

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Factorisation

Sample Question

Factorize (49b² - 9).

A. (b + 1) (49b - 9)

B. (7b - 3) (7b - 3)

C. (7b + 3) (7b - 3)

D. (b - 1) (49b + 9)

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Introduction to Graphs

Sample Question

The graph below shows the production of cars (in thousands) of two factories (A and B) for ten years. Find the production of cars of A in the year the when combined production of cars was minimum.

A. 14 thousands

B. 15 thousands

C. 13 thousands

D. 12 thousands

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Playing with Numbers

Sample Question

Find the value of F from following summation.

2 F
+ E 0
6 E

A. 2

B. 4

C. 3

D. 6

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Full Year 8th Grade Review

Sample Question

Suppose ^@ x - y = 1.^@ Find the value of ^@ x^4 - xy^3 - x^{ 3 }y - 3x^{ 2 }y + 3xy^{ 2 } + y^4 . ^@

A.
^@ 4 ^@

B.
^@ 6 ^@

C.
^@ 1 ^@

D.
^@ 7 ^@

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Profit-Loss and Discounts

Sample Question

A shopkeeper buys 20 sofas for €120000. If he sells them for a profit of 5%, find the selling price of one sofa.

A. €7560

B. €6300

C. €6930

D. €5670

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Simple Interest

Sample Question

Lara deposited an amount in bank which gives 20% simple interest. If she gets € 50000 after 5 years, find the amount deposited by her?

A. €27000

B. €25000

C. €23000

D. €26000

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Compound Interest

Sample Question

Carina borrowed €7000 from a bank at the interest rate of 20% per annum compounded annually. What would be the amount payable to bank after 2 years?

A. €10080

B. €10118

C. €11088

D. €9072

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Multiplication of Polynomials

Sample Question

Find the product of the following polynomials:
( -0.3p² - 0.5p + 0.4) and (p² + 0.1p - 0.5)

A. - 0.3p⁴ - 0.53p³ - 0.5p² + 0.29p - 0.2

B. -0.3p⁴ - 0.53p³ + 0.5p² + 0.29p - 0.2

C. - 0.3p⁴ - 0.53p³ + 0.5p² - 0.29p - 0.2

D. - 0.3p⁴ - 0.53p³ + 0.5p² + 0.29p + 0.2

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Division of Polynomials

Sample Question

( -6pq - 18q + 7p + 21) ÷ (p + 3) = ?

A. 7q - 6

B. -6q + 7

C. -7q - 6

D. 6q + 7

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Data Handling-Probability Statistics

Sample Question

From a deck of cards, Niklas randomly withdraws a card. What is the probability that the card is a black Queen?

A.
1
15

B.
1
26

C.
6
52

D.
1
13

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Logical Reasoning

Sample Question

Kevin plays tennis every 5^th day. If he played tennis on Monday, after how many days will he play tennis again on a Wednesday?

A. 28 days

B. 30 days

C. 34 days

D. 31 days

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Grade 8 Math

Rational Numbers

Sample Question

Find the area of a square plot whose each side measures ^@ \dfrac { 61 } { 4 } ^@ m.

A.
^@ \dfrac { 3722 } { 16 } m^2 ^@

B.
^@ \dfrac { 3723 } { 17 } m^2 ^@

C.
^@ \dfrac { 3721 } { 16 } ^@ ^@ m^2 ^@

D.
^@ \dfrac { 3724 } { 18 } m^2 ^@

Linear Equations of One Variable

Sample Question

For any four numbers p, q, r and s, the mathematical representation

p q
r s

means p × s - q × r.

If

2x 1
x 2

= 12,

find the value of x.

A. 6

B. 5

C. 4

D. 2

Understanding Quadrilaterals

Sample Question

Find the number of sides of a regular polygon whose each exterior angle is ^@ 45 ^ \circ. ^@

A.
^@6^@

B.
^@ 8 ^@

C.
^@9^@

D.
^@13^@

Square and Square Roots

Sample Question

What is the expansion of (a + b)²?

A. a² + 2ab + b

B. a + 2ab + b²

C. a² -2ab + b²

D. a² + 2ab + b²

Cubes and Cube Root

Sample Question

What is the value of ^@ \sqrt[3]{ \dfrac{ -250 } { 54 } } ^@ ?

A.
^@ \dfrac { -2 } { 5 } ^@

B.
^@ \dfrac { -2 } { 3 } ^@

C.
^@ \dfrac { -3 } { 2 } ^@

D.
^@ \dfrac { -5 } { 3 } ^@

Comparing Quantities

Sample Question

Christopher deposited €1000 in bank on 7th May 1989 and withdrew on 7th January 1990. Find the interest earned by him at simple interest of 18% pa.

A. €96

B. €132

C. €108

D. €120

Algebraic Expressions and Identities

Sample Question

(q² - 9pq + 2q - 18p) ÷ (q + 2) = ?

A. 9p + q

B. q - 9p

C. -p - 9q

D. 9p - q

Visualizing Solid Shapes

Sample Question

Which of the following is a possible number of diagonals of a convex polygon?

A.
^@32^@

B.
^@56^@

C.
^@20^@

D.
^@59^@

Mensuration

Sample Question

Katharina's father had a rhombus shaped plot with diagonals of 4 and 8 meters long. He sold the plot and bought a square shaped plot of same area. Find the perimeter of new plot.

A. 16 meters

B. 18 meters

C. 22 meters

D. 12 meters

Exponents and Powers

Sample Question

2^-2 × 3⁴ = ?

A.
81
7

B.
84
4

C.
81
4

D.
80
4

Direct and Inverse Proportions

Sample Question

A number 649 is divided into two parts in the ratio 4:7. What is the product of the numbers?

A. 97494

B. 97472

C. 97482

D. 97468

Factorisation

Sample Question

Factorize (49b² - 9).

A. (b + 1) (49b - 9)

B. (7b - 3) (7b - 3)

C. (7b + 3) (7b - 3)

D. (b - 1) (49b + 9)

Playing with Numbers

Sample Question

Find the value of F from following summation.

2 F
+ E 0
6 E

A. 2

B. 4

C. 3

D. 6

Full Year 8th Grade Review

Sample Question

Suppose ^@ x - y = 1.^@ Find the value of ^@ x^4 - xy^3 - x^{ 3 }y - 3x^{ 2 }y + 3xy^{ 2 } + y^4 . ^@

A.
^@ 4 ^@

B.
^@ 6 ^@

C.
^@ 1 ^@

D.
^@ 7 ^@

Profit-Loss and Discounts

Sample Question

A shopkeeper buys 20 sofas for €120000. If he sells them for a profit of 5%, find the selling price of one sofa.

A. €7560

B. €6300

C. €6930

D. €5670

Simple Interest

Sample Question

Lara deposited an amount in bank which gives 20% simple interest. If she gets € 50000 after 5 years, find the amount deposited by her?

A. €27000

B. €25000

C. €23000

D. €26000

Compound Interest

Sample Question

Carina borrowed €7000 from a bank at the interest rate of 20% per annum compounded annually. What would be the amount payable to bank after 2 years?

A. €10080

B. €10118

C. €11088

D. €9072

Division of Polynomials

Sample Question

( -6pq - 18q + 7p + 21) ÷ (p + 3) = ?

A. 7q - 6

B. -6q + 7

C. -7q - 6

D. 6q + 7

Data Handling-Probability Statistics

Sample Question

From a deck of cards, Niklas randomly withdraws a card. What is the probability that the card is a black Queen?

A.
1
15

B.
1
26

C.
6
52

D.
1
13

Logical Reasoning

Sample Question

Kevin plays tennis every 5^th day. If he played tennis on Monday, after how many days will he play tennis again on a Wednesday?

A. 28 days

B. 30 days

C. 34 days

D. 31 days

A.	^@ \dfrac { 3722 } { 16 } m^2 ^@
B.	^@ \dfrac { 3723 } { 17 } m^2 ^@
C.	^@ \dfrac { 3721 } { 16 } ^@ ^@ m^2 ^@
D.	^@ \dfrac { 3724 } { 18 } m^2 ^@

A.	*a² + 2ab + b*
B.	*a + 2ab + b²*
C.	*a² -2ab + b²*
D.	*a² + 2ab + b²*

A.	^@ \dfrac { -2 } { 5 } ^@
B.	^@ \dfrac { -2 } { 3 } ^@
C.	^@ \dfrac { -3 } { 2 } ^@
D.	^@ \dfrac { -5 } { 3 } ^@

A.	(b + 1) (49b - 9)
B.	(7b - 3) (7b - 3)
C.	(7b + 3) (7b - 3)
D.	(b - 1) (49b + 9)

A.	- 0.3p⁴ - 0.53p³ - 0.5p² + 0.29p - 0.2
B.	-0.3p⁴ - 0.53p³ + 0.5p² + 0.29p - 0.2
C.	- 0.3p⁴ - 0.53p³ + 0.5p² - 0.29p - 0.2
D.	- 0.3p⁴ - 0.53p³ + 0.5p² + 0.29p + 0.2

Grade 8 Math

Rational Numbers Sample Question Find the area of a square plot whose each side measures ^@ \dfrac { 61 } { 4 } ^@ m. A.^@ \dfrac { 3722 } { 16 } m^2 ^@ B.^@ \dfrac { 3723 } { 17 } m^2 ^@ C. ^@ \dfrac { 3721 } { 16 } ^@ ^@ m^2 ^@ D.^@ \dfrac { 3724 } { 18 } m^2 ^@

Linear Equations of One Variable Sample Question For any four numbers p, q, r and s, the mathematical representation pqrs means p × s - q × r. If 2x1x2 = 12, find the value of x. A.6 B.5 C.4 D.2

Understanding Quadrilaterals Sample Question Find the number of sides of a regular polygon whose each exterior angle is ^@ 45 ^ \circ. ^@ A.^@6^@ B.^@ 8 ^@ C.^@9^@ D.^@13^@

Square and Square Roots Sample Question What is the expansion of (a + b)2? A.a2 + 2ab + b B.a + 2ab + b2 C.a2 -2ab + b2 D.a2 + 2ab + b2

Cubes and Cube Root Sample Question What is the value of ^@ \sqrt[3]{ \dfrac{ -250 } { 54 } } ^@ ? A.^@ \dfrac { -2 } { 5 } ^@ B.^@ \dfrac { -2 } { 3 } ^@ C.^@ \dfrac { -3 } { 2 } ^@ D.^@ \dfrac { -5 } { 3 } ^@

Comparing Quantities Sample Question Christopher deposited €1000 in bank on 7th May 1989 and withdrew on 7th January 1990. Find the interest earned by him at simple interest of 18% pa. A.€96 B.€132 C.€108 D.€120

Algebraic Expressions and Identities Sample Question (q2 - 9pq + 2q - 18p) ÷ (q + 2) = ? A.9p + q B.q - 9p C. -p - 9q D.9p - q

Visualizing Solid Shapes Sample Question Which of the following is a possible number of diagonals of a convex polygon? A.^@32^@ B.^@56^@ C.^@20^@ D.^@59^@

Mensuration Sample Question Katharina's father had a rhombus shaped plot with diagonals of 4 and 8 meters long. He sold the plot and bought a square shaped plot of same area. Find the perimeter of new plot. A.16 meters B.18 meters C.22 meters D.12 meters

Exponents and Powers Sample Question 2-2 × 34 = ? A. 817 B. 844 C. 814 D. 804

Direct and Inverse Proportions Sample Question A number 649 is divided into two parts in the ratio 4:7. What is the product of the numbers? A.97494 B.97472 C.97482 D.97468

Factorisation Sample Question Factorize (49b2 - 9). A.(b + 1) (49b - 9) B.(7b - 3) (7b - 3) C.(7b + 3) (7b - 3) D.(b - 1) (49b + 9)

Playing with Numbers Sample Question Find the value of F from following summation. 2 F + E 0 6 E A.2 B.4 C.3 D.6

Full Year 8th Grade Review Sample Question Suppose ^@ x - y = 1.^@ Find the value of ^@ x^4 - xy^3 - x^{ 3 }y - 3x^{ 2 }y + 3xy^{ 2 } + y^4 . ^@ A. ^@ 4 ^@ B. ^@ 6 ^@ C. ^@ 1 ^@ D. ^@ 7 ^@

Profit-Loss and Discounts Sample Question A shopkeeper buys 20 sofas for €120000. If he sells them for a profit of 5%, find the selling price of one sofa. A.€7560 B.€6300 C.€6930 D.€5670

Simple Interest Sample Question Lara deposited an amount in bank which gives 20% simple interest. If she gets € 50000 after 5 years, find the amount deposited by her? A.€27000 B.€25000 C.€23000 D.€26000

Compound Interest Sample Question Carina borrowed €7000 from a bank at the interest rate of 20% per annum compounded annually. What would be the amount payable to bank after 2 years? A.€10080 B.€10118 C.€11088 D.€9072

Division of Polynomials Sample Question ( -6pq - 18q + 7p + 21) ÷ (p + 3) = ? A.7q - 6 B. -6q + 7 C. -7q - 6 D.6q + 7

Data Handling-Probability Statistics Sample Question From a deck of cards, Niklas randomly withdraws a card. What is the probability that the card is a black Queen? A. 115 B. 126 C. 652 D. 113

Logical Reasoning Sample Question Kevin plays tennis every 5th day. If he played tennis on Monday, after how many days will he play tennis again on a Wednesday? A.28 days B.30 days C.34 days D.31 days

Rational Numbers

Sample Question

Find the area of a square plot whose each side measures ^@ \dfrac { 61 } { 4 } ^@ m.

A.
^@ \dfrac { 3722 } { 16 } m^2 ^@

B.
^@ \dfrac { 3723 } { 17 } m^2 ^@

C.
^@ \dfrac { 3721 } { 16 } ^@ ^@ m^2 ^@

D.
^@ \dfrac { 3724 } { 18 } m^2 ^@

Linear Equations of One Variable

Sample Question

For any four numbers p, q, r and s, the mathematical representation

p q
r s

means p × s - q × r.

If

2x 1
x 2

= 12,

find the value of x.

A. 6

B. 5

C. 4

D. 2

Understanding Quadrilaterals

Sample Question

Find the number of sides of a regular polygon whose each exterior angle is ^@ 45 ^ \circ. ^@

A.
^@6^@

B.
^@ 8 ^@

C.
^@9^@

D.
^@13^@

Square and Square Roots

Sample Question

What is the expansion of (a + b)²?

A. a² + 2ab + b

B. a + 2ab + b²

C. a² -2ab + b²

D. a² + 2ab + b²

Cubes and Cube Root

Sample Question

What is the value of ^@ \sqrt[3]{ \dfrac{ -250 } { 54 } } ^@ ?

A.
^@ \dfrac { -2 } { 5 } ^@

B.
^@ \dfrac { -2 } { 3 } ^@

C.
^@ \dfrac { -3 } { 2 } ^@

D.
^@ \dfrac { -5 } { 3 } ^@

Comparing Quantities

Sample Question

Christopher deposited €1000 in bank on 7th May 1989 and withdrew on 7th January 1990. Find the interest earned by him at simple interest of 18% pa.

A. €96

B. €132

C. €108

D. €120

Algebraic Expressions and Identities

Sample Question

(q² - 9pq + 2q - 18p) ÷ (q + 2) = ?

A. 9p + q

B. q - 9p

C. -p - 9q

D. 9p - q

Visualizing Solid Shapes

Sample Question

Which of the following is a possible number of diagonals of a convex polygon?

A.
^@32^@

B.
^@56^@

C.
^@20^@

D.
^@59^@

Mensuration

Sample Question

Katharina's father had a rhombus shaped plot with diagonals of 4 and 8 meters long. He sold the plot and bought a square shaped plot of same area. Find the perimeter of new plot.

A. 16 meters

B. 18 meters

C. 22 meters

D. 12 meters

Exponents and Powers

Sample Question

2^-2 × 3⁴ = ?

A.
81
7

B.
84
4

C.
81
4

D.
80
4

Direct and Inverse Proportions

Sample Question

A number 649 is divided into two parts in the ratio 4:7. What is the product of the numbers?

A. 97494

B. 97472

C. 97482

D. 97468

Factorisation

Sample Question

Factorize (49b² - 9).

A. (b + 1) (49b - 9)

B. (7b - 3) (7b - 3)

C. (7b + 3) (7b - 3)

D. (b - 1) (49b + 9)

Playing with Numbers

Sample Question

Find the value of F from following summation.

2 F
+ E 0
6 E

A. 2

B. 4

C. 3

D. 6

Full Year 8th Grade Review

Sample Question

Suppose ^@ x - y = 1.^@ Find the value of ^@ x^4 - xy^3 - x^{ 3 }y - 3x^{ 2 }y + 3xy^{ 2 } + y^4 . ^@

A.
^@ 4 ^@

B.
^@ 6 ^@

C.
^@ 1 ^@

D.
^@ 7 ^@

Profit-Loss and Discounts

Sample Question

A shopkeeper buys 20 sofas for €120000. If he sells them for a profit of 5%, find the selling price of one sofa.

A. €7560

B. €6300

C. €6930

D. €5670

Simple Interest

Sample Question

Lara deposited an amount in bank which gives 20% simple interest. If she gets € 50000 after 5 years, find the amount deposited by her?

A. €27000

B. €25000

C. €23000

D. €26000

Compound Interest

Sample Question

Carina borrowed €7000 from a bank at the interest rate of 20% per annum compounded annually. What would be the amount payable to bank after 2 years?

A. €10080

B. €10118

C. €11088

D. €9072

Division of Polynomials

Sample Question

( -6pq - 18q + 7p + 21) ÷ (p + 3) = ?

A. 7q - 6

B. -6q + 7

C. -7q - 6

D. 6q + 7

Data Handling-Probability Statistics

Sample Question

From a deck of cards, Niklas randomly withdraws a card. What is the probability that the card is a black Queen?

A.
1
15

B.
1
26

C.
6
52

D.
1
13

Logical Reasoning

Sample Question

Kevin plays tennis every 5^th day. If he played tennis on Monday, after how many days will he play tennis again on a Wednesday?

A. 28 days

B. 30 days

C. 34 days

D. 31 days