Grade 8 math worksheets, practice and tests

Rational Numbers

Sample Question

If
p
q
=
m
n
then which of the following is always true?

A.
p
n
=
m
q

B. p x q = m x n

C. p x n = m x q

D. p x m = n x q

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Linear Equations of One Variable

Sample Question

If x + y = 7 then which of the following values of x and y will hold true?

A. x = 2, y = 9

B. x = 4, y = 5

C. x = 4, y = 6

D. x = 2, y = 5

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Understanding Quadrilaterals

Sample Question

If an error ^@4\%^@ in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is

A. ^@8.16\%^@

B. ^@17.16\%^@

C. ^@12.16\%^@

D. ^@7.16\%^@

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Square and Square Roots

Sample Question

If you subtract a number x from 26 times that number, and then take the square of the difference, what will the result be?

A. 24x²

B. 26x²

C. 27x²

D. 625x²

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Cubes and Cube Root

Sample Question

Which is the smallest number that should be multiplied with ^@231525^@ to give a perfect cube?

A. 7

B. 1

C. 5

D. 4

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Comparing Quantities

Sample Question

The cost of the car is ^@$121000.^@ If its value depreciates at the rate of ^@10\%^@ per annum, then what is the total depreciation after ^@1^@ year?

A. ^@ $12100 ^@

B. ^@$12083^@

C. ^@$12130^@

D. ^@$229900^@

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Algebraic Expressions and Identities

Sample Question

If ^@u + v + w + x + y + \dfrac{ 1 }{ u + v + w + x + y } = 2^@, find the value of ^@(u + v + w + x + y)^{ 7 } + \dfrac{ 1 }{ (u + v + w + x + y)^7 }^@.

A.
^@1^@

B.
2

C.
^@\dfrac{1}{2}^@

D.
^@0^@

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Visualizing Solid Shapes

Sample Question

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

A.

B.

C.

D.

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Mensuration

Sample Question

What is the area of a rectangle whose length is ^@ 9 \space m \space 2 \space dm \space 6 \space cm ^@ and width is ^@ 6 \space m \space 1 \space dm \space 9 \space cm?^@

A. ^@ 65.1754 \space m^2 ^@

B. ^@ 58.5887 \space m^2 ^@

C. ^@ 50.7586 \space m^2 ^@

D. ^@ 57.3194 \space m^2 ^@

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Exponents and Powers

Sample Question

If ^@5^x \times 4^x = 160000^@, then the value of ^@x^@ is

A. ^@4^@

B. ^@7^@

C. ^@14 ^@

D. ^@3 ^@

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Direct and Inverse Proportions

Sample Question

The ratio of number of boys to that of girls in a school of 666 is 4:5. How many boys should be admitted to make the ratio 1:1?

A. 74

B. 78

C. 77

D. 72

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Factorisation

Sample Question

Factorize:
^@81y^4 - 180y^2z^2 + 100z^4^@

A.
^@\left(9y^2 + z^2\right)\left(9y^2 + 10z^2\right)^@

B.
^@\left(9y^2 - 10z^2\right)\left(9y^2 - 10z^2\right)^@

C.
^@\left(9y^2 + 10z^2\right)\left(9y^2 + 10z^2\right)^@

D.
^@\left(9y^2 + 10z^2\right)\left(9y^2 - 10z^2\right)^@

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Introduction to Graphs

Sample Question

The average temperature in Sembawang is shown over 10 weeks in the graph below. Which week saw the biggest drop in temperature?

A. Week 4

B. Week 2

C. Week 6

D. Week 3

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Playing with Numbers

Sample Question

Wei's roll number is a two digit number. His friend Feng's roll number has the same digits as Wei's roll number, but with digits interchanged. If they add their roll number, and divide the sum by 11. Find the remainder of this division.

A. 0

B. 2

C. 1

D. Can not be determined without knowing the roll number

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Full Year 8th Grade Review

Sample Question

If the height of a cylinder is increased by ^@25\%^@ and the radius of its base is increased by ^@20\%^@ then by what percent will its curved surface area change?

A. ^@58\%^@

B. ^@48\%^@

C. ^@46\%^@

D. ^@50\%^@

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Profit-Loss and Discounts

Sample Question

A man sells an article at a profit of ^@10\%^@. If he had bought it at ^@20\%^@ less and sold for ^@$24^@ less, he would have gained ^@25\%^@. Find the cost price of the article.

A. ^@$340^@

B. ^@$230^@

C. ^@$250^@

D. ^@$240^@

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Simple Interest

Sample Question

A sum of money becomes triple of itself at simple interest in 20 years, how long would it take for same amount to become 5 times?

A. 39 years

B. 60 years

C. 40 years

D. 38 years

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Compound Interest

Sample Question

If an amount of ^@ $50000 ^@ is invested for ^@2^@ years such that the compound interest received for the first and the second year is ^@ 14 \% ^@ and ^@ 13 \% ^@ per annum respectively, then find the value of interest received.
Idrissa Tony

A.
^@ $ 14400 ^@

B.
^@ $ 14453 ^@

C.
^@ $ 14410 ^@

D.
^@ $ 14509 ^@

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Multiplication of Polynomials

Sample Question

What is the value of ^@x^{ 2 }z^{ 5 }\left(5x^{ 4 } - 3y^{ }\right) ^@ at ^@x = 2, y = 2^@ and ^@z = 2^@?

A. ^@9672^@

B. ^@9472^@

C. ^@-9472^@

D. ^@-9672^@

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Division of Polynomials

Sample Question

(q² - 36) ÷ (q - 6) = ?

A. -6q + 1

B. 6q + 1

C. -q + 6

D. q + 6

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Data Handling-Probability Statistics

Sample Question

^@ 400 ^@ families with ^@2^@ children each, were selected randomly and the following data were recorded.

^@\text{Number of boys in a family}^@ ^@2^@ ^@1^@ ^@0^@

^@\text{ Number of families }^@ ^@240^@ ^@60^@ ^@100^@

Out of these families, one family is selected at random. What is the probability that the selected family has ^@1^@ boy?

A.
^@ 1 ^@

B.
^@ 0.25 ^@

C.
^@ 0.15 ^@

D.
^@ 0.6 ^@

^@\text{Number of boys in a family}^@	^@2^@	^@1^@	^@0^@
^@\text{ Number of families }^@	^@240^@	^@60^@	^@100^@

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Logical Reasoning

Sample Question

A shopkeeper sells a book for ^@ $24 ^@ and gains ^@ \dfrac{ 1 }{ 11 } ^@ of what it costs him. Find the cost price of the book.

A. ^@$21^@

B. ^@ $22 ^@

C. ^@$24^@

D. ^@$20^@

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Grade 8 Math

Rational Numbers

Sample Question

If
p
q
=
m
n
then which of the following is always true?

A.
p
n
=
m
q

B. p x q = m x n

C. p x n = m x q

D. p x m = n x q

Linear Equations of One Variable

Sample Question

If x + y = 7 then which of the following values of x and y will hold true?

A. x = 2, y = 9

B. x = 4, y = 5

C. x = 4, y = 6

D. x = 2, y = 5

Understanding Quadrilaterals

Sample Question

If an error ^@4\%^@ in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is

A. ^@8.16\%^@

B. ^@17.16\%^@

C. ^@12.16\%^@

D. ^@7.16\%^@

Square and Square Roots

Sample Question

If you subtract a number x from 26 times that number, and then take the square of the difference, what will the result be?

A. 24x²

B. 26x²

C. 27x²

D. 625x²

Cubes and Cube Root

Sample Question

Which is the smallest number that should be multiplied with ^@231525^@ to give a perfect cube?

A. 7

B. 1

C. 5

D. 4

Comparing Quantities

Sample Question

The cost of the car is ^@$121000.^@ If its value depreciates at the rate of ^@10\%^@ per annum, then what is the total depreciation after ^@1^@ year?

A. ^@ $12100 ^@

B. ^@$12083^@

C. ^@$12130^@

D. ^@$229900^@

Algebraic Expressions and Identities

Sample Question

If ^@u + v + w + x + y + \dfrac{ 1 }{ u + v + w + x + y } = 2^@, find the value of ^@(u + v + w + x + y)^{ 7 } + \dfrac{ 1 }{ (u + v + w + x + y)^7 }^@.

A.
^@1^@

B.
2

C.
^@\dfrac{1}{2}^@

D.
^@0^@

Visualizing Solid Shapes

Sample Question

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

A.

B.

C.

D.

Exponents and Powers

Sample Question

If ^@5^x \times 4^x = 160000^@, then the value of ^@x^@ is

A. ^@4^@

B. ^@7^@

C. ^@14 ^@

D. ^@3 ^@

Direct and Inverse Proportions

Sample Question

The ratio of number of boys to that of girls in a school of 666 is 4:5. How many boys should be admitted to make the ratio 1:1?

A. 74

B. 78

C. 77

D. 72

Introduction to Graphs

Sample Question

The average temperature in Sembawang is shown over 10 weeks in the graph below. Which week saw the biggest drop in temperature?

A. Week 4

B. Week 2

C. Week 6

D. Week 3

Full Year 8th Grade Review

Sample Question

If the height of a cylinder is increased by ^@25\%^@ and the radius of its base is increased by ^@20\%^@ then by what percent will its curved surface area change?

A. ^@58\%^@

B. ^@48\%^@

C. ^@46\%^@

D. ^@50\%^@

Profit-Loss and Discounts

Sample Question

A man sells an article at a profit of ^@10\%^@. If he had bought it at ^@20\%^@ less and sold for ^@$24^@ less, he would have gained ^@25\%^@. Find the cost price of the article.

A. ^@$340^@

B. ^@$230^@

C. ^@$250^@

D. ^@$240^@

Simple Interest

Sample Question

A sum of money becomes triple of itself at simple interest in 20 years, how long would it take for same amount to become 5 times?

A. 39 years

B. 60 years

C. 40 years

D. 38 years

Multiplication of Polynomials

Sample Question

What is the value of ^@x^{ 2 }z^{ 5 }\left(5x^{ 4 } - 3y^{ }\right) ^@ at ^@x = 2, y = 2^@ and ^@z = 2^@?

A. ^@9672^@

B. ^@9472^@

C. ^@-9472^@

D. ^@-9672^@

Division of Polynomials

Sample Question

(q² - 36) ÷ (q - 6) = ?

A. -6q + 1

B. 6q + 1

C. -q + 6

D. q + 6

Logical Reasoning

Sample Question

A shopkeeper sells a book for ^@ $24 ^@ and gains ^@ \dfrac{ 1 }{ 11 } ^@ of what it costs him. Find the cost price of the book.

A. ^@$21^@

B. ^@ $22 ^@

C. ^@$24^@

D. ^@$20^@

A.	^@ 65.1754 \space m^2 ^@
B.	^@ 58.5887 \space m^2 ^@
C.	^@ 50.7586 \space m^2 ^@
D.	^@ 57.3194 \space m^2 ^@

A.	^@\left(9y^2 + z^2\right)\left(9y^2 + 10z^2\right)^@
B.	^@\left(9y^2 - 10z^2\right)\left(9y^2 - 10z^2\right)^@
C.	^@\left(9y^2 + 10z^2\right)\left(9y^2 + 10z^2\right)^@
D.	^@\left(9y^2 + 10z^2\right)\left(9y^2 - 10z^2\right)^@

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

A.	^@ $ 14400 ^@
B.	^@ $ 14453 ^@
C.	^@ $ 14410 ^@
D.	^@ $ 14509 ^@

A.	*24x²*
B.	*26x²*
C.	*27x²*
D.	*625x²*

Grade 8 Math

Rational Numbers Sample Question If pq = mn then which of the following is always true? A. pn = mq B. p x q = m x n C.p x n = m x q D.p x m = n x q

Linear Equations of One Variable Sample Question If x + y = 7 then which of the following values of x and y will hold true? A.x = 2, y = 9 B.x = 4, y = 5 C.x = 4, y = 6 D.x = 2, y = 5

Understanding Quadrilaterals Sample Question If an error ^@4\%^@ in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is A.^@8.16\%^@ B.^@17.16\%^@ C.^@12.16\%^@ D.^@7.16\%^@

Square and Square Roots Sample Question If you subtract a number x from 26 times that number, and then take the square of the difference, what will the result be? A.24x2 B.26x2 C.27x2 D.625x2

Cubes and Cube Root Sample Question Which is the smallest number that should be multiplied with ^@231525^@ to give a perfect cube? A.7 B.1 C.5 D.4

Comparing Quantities Sample Question The cost of the car is ^@$121000.^@ If its value depreciates at the rate of ^@10\%^@ per annum, then what is the total depreciation after ^@1^@ year? A.^@ $12100 ^@ B.^@$12083^@ C.^@$12130^@ D.^@$229900^@

Algebraic Expressions and Identities Sample Question If ^@u + v + w + x + y + \dfrac{ 1 }{ u + v + w + x + y } = 2^@, find the value of ^@(u + v + w + x + y)^{ 7 } + \dfrac{ 1 }{ (u + v + w + x + y)^7 }^@. A.^@1^@ B.2 C.^@\dfrac{1}{2}^@ D.^@0^@

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

Exponents and Powers Sample Question If ^@5^x \times 4^x = 160000^@, then the value of ^@x^@ is A.^@4^@ B.^@7^@ C.^@14 ^@ D.^@3 ^@

Direct and Inverse Proportions Sample Question The ratio of number of boys to that of girls in a school of 666 is 4:5. How many boys should be admitted to make the ratio 1:1? A.74 B.78 C.77 D.72

Factorisation Sample Question Factorize:^@81y^4 - 180y^2z^2 + 100z^4^@ A.^@\left(9y^2 + z^2\right)\left(9y^2 + 10z^2\right)^@ B.^@\left(9y^2 - 10z^2\right)\left(9y^2 - 10z^2\right)^@ C.^@\left(9y^2 + 10z^2\right)\left(9y^2 + 10z^2\right)^@ D.^@\left(9y^2 + 10z^2\right)\left(9y^2 - 10z^2\right)^@

Full Year 8th Grade Review Sample Question If the height of a cylinder is increased by ^@25\%^@ and the radius of its base is increased by ^@20\%^@ then by what percent will its curved surface area change? A.^@58\%^@ B.^@48\%^@ C.^@46\%^@ D.^@50\%^@

Profit-Loss and Discounts Sample Question A man sells an article at a profit of ^@10\%^@. If he had bought it at ^@20\%^@ less and sold for ^@$24^@ less, he would have gained ^@25\%^@. Find the cost price of the article. A.^@$340^@ B.^@$230^@ C.^@$250^@ D.^@$240^@

Simple Interest Sample Question A sum of money becomes triple of itself at simple interest in 20 years, how long would it take for same amount to become 5 times? A.39 years B.60 years C.40 years D.38 years

Multiplication of Polynomials Sample Question What is the value of ^@x^{ 2 }z^{ 5 }\left(5x^{ 4 } - 3y^{ }\right) ^@ at ^@x = 2, y = 2^@ and ^@z = 2^@? A.^@9672^@ B.^@9472^@ C.^@-9472^@ D.^@-9672^@

Division of Polynomials Sample Question (q2 - 36) ÷ (q - 6) = ? A. -6q + 1 B.6q + 1 C. -q + 6 D.q + 6

Logical Reasoning Sample Question A shopkeeper sells a book for ^@ $24 ^@ and gains ^@ \dfrac{ 1 }{ 11 } ^@ of what it costs him. Find the cost price of the book. A.^@$21^@ B.^@ $22 ^@ C.^@$24^@ D.^@$20^@

Rational Numbers

Sample Question

If
p
q
=
m
n
then which of the following is always true?

A.
p
n
=
m
q

B. p x q = m x n

C. p x n = m x q

D. p x m = n x q

Linear Equations of One Variable

Sample Question

If x + y = 7 then which of the following values of x and y will hold true?

A. x = 2, y = 9

B. x = 4, y = 5

C. x = 4, y = 6

D. x = 2, y = 5

Understanding Quadrilaterals

Sample Question

If an error ^@4\%^@ in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is

A. ^@8.16\%^@

B. ^@17.16\%^@

C. ^@12.16\%^@

D. ^@7.16\%^@

Square and Square Roots

Sample Question

If you subtract a number x from 26 times that number, and then take the square of the difference, what will the result be?

A. 24x²

B. 26x²

C. 27x²

D. 625x²

Cubes and Cube Root

Sample Question

Which is the smallest number that should be multiplied with ^@231525^@ to give a perfect cube?

A. 7

B. 1

C. 5

D. 4

Comparing Quantities

Sample Question

The cost of the car is ^@$121000.^@ If its value depreciates at the rate of ^@10\%^@ per annum, then what is the total depreciation after ^@1^@ year?

A. ^@ $12100 ^@

B. ^@$12083^@

C. ^@$12130^@

D. ^@$229900^@

Algebraic Expressions and Identities

Sample Question

If ^@u + v + w + x + y + \dfrac{ 1 }{ u + v + w + x + y } = 2^@, find the value of ^@(u + v + w + x + y)^{ 7 } + \dfrac{ 1 }{ (u + v + w + x + y)^7 }^@.

A.
^@1^@

B.
2

C.
^@\dfrac{1}{2}^@

D.
^@0^@

Visualizing Solid Shapes

Sample Question

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

A.

B.

C.

D.

Exponents and Powers

Sample Question

If ^@5^x \times 4^x = 160000^@, then the value of ^@x^@ is

A. ^@4^@

B. ^@7^@

C. ^@14 ^@

D. ^@3 ^@

Direct and Inverse Proportions

Sample Question

The ratio of number of boys to that of girls in a school of 666 is 4:5. How many boys should be admitted to make the ratio 1:1?

A. 74

B. 78

C. 77

D. 72

Full Year 8th Grade Review

Sample Question

If the height of a cylinder is increased by ^@25\%^@ and the radius of its base is increased by ^@20\%^@ then by what percent will its curved surface area change?

A. ^@58\%^@

B. ^@48\%^@

C. ^@46\%^@

D. ^@50\%^@

Profit-Loss and Discounts

Sample Question

A man sells an article at a profit of ^@10\%^@. If he had bought it at ^@20\%^@ less and sold for ^@$24^@ less, he would have gained ^@25\%^@. Find the cost price of the article.

A. ^@$340^@

B. ^@$230^@

C. ^@$250^@

D. ^@$240^@

Simple Interest

Sample Question

A sum of money becomes triple of itself at simple interest in 20 years, how long would it take for same amount to become 5 times?

A. 39 years

B. 60 years

C. 40 years

D. 38 years

Multiplication of Polynomials

Sample Question

What is the value of ^@x^{ 2 }z^{ 5 }\left(5x^{ 4 } - 3y^{ }\right) ^@ at ^@x = 2, y = 2^@ and ^@z = 2^@?

A. ^@9672^@

B. ^@9472^@

C. ^@-9472^@

D. ^@-9672^@

Division of Polynomials

Sample Question

(q² - 36) ÷ (q - 6) = ?

A. -6q + 1

B. 6q + 1

C. -q + 6

D. q + 6

Logical Reasoning

Sample Question

A shopkeeper sells a book for ^@ $24 ^@ and gains ^@ \dfrac{ 1 }{ 11 } ^@ of what it costs him. Find the cost price of the book.

A. ^@$21^@

B. ^@ $22 ^@

C. ^@$24^@

D. ^@$20^@