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

Rational Numbers

Sample Question

A perfect square can never have the following digit in its one's place.

A. 9

B. 3

C. 4

D. 0

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Linear Equations of One Variable

Sample Question

When a number is divided by a divisor, it gives a quotient that is
1
7
times the divisor, and leaves a remainder that is
1
4
times the divisor. If the remainder was 14, then what was the dividend?

A. 457

B. 453

C. 462

D. 470

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Understanding Quadrilaterals

Sample Question

Look at the figure given below:

Find the value of angle ^@z.^@

A.
^@ 82^\circ ^@

B.
^@83^\circ^@

C.
^@ 91^\circ ^@

D.
^@ 77^\circ ^@

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Square and Square Roots

Sample Question

State whether the square of ^@53136^@ is odd or even.

A. Even

B. Odd

C.

D.

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Cubes and Cube Root

Sample Question

What is the value of ^@ \sqrt[3]{ \dfrac{ -375 } { 24 } } ^@?

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

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

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

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

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Comparing Quantities

Sample Question

The difference between discounts of ^@40\%^@ on ^@$200^@ and two successive discounts of ^@35\%^@ and ^@5\%^@ of the same price is

A. ^@$3.5^@

B. ^@$2.5^@

C. ^@$5.5^@

D. Nil

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Algebraic Expressions and Identities

Sample Question

A rectangle has an area of ^@ 72x^ { 3 }-31x^ { 2 } + 40x-25 ^@ and one of its sides is ^@ 9x-5 ^@. What is the length of the adjacent side?

A.
^@4x^ { 2 } + 8x-8^@

B.
^@5x-9^@

C.
^@x^ { 2 }-4x-3^@

D.
^@8x^ { 2 } + x + 5^@

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Visualizing Solid Shapes

Sample Question

Is it possible to have a regular polygon whose each exterior angle is ^@60\%^@ of a right angle?

A. No

B. Yes

C.

D.

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Mensuration

Sample Question

A room that is 12.6 m wide and 16.8 m in length is to be completely carpeted with a carpet that is 0.21 m wide. What length of the carpet is needed?

A. 1011 m

B. 1000 m

C. 1008 m

D. 1003 m

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New Worksheet

New Online Test

Unlimited Online Practice

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Exponents and Powers

Sample Question

If ^@a^x = b^y = c^z^@ and ^@c = b^{2}a^@, then ^@z^@ is equal to

A. ^@\dfrac{ y + z }{ 2yx }^@

B. ^@\dfrac{ 2yx }{ x + y } ^@

C. ^@\dfrac{ xy }{ 2x + y }^@

D. ^@ \dfrac{ 2zx } { x + z }^@

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Direct and Inverse Proportions

Sample Question

If the angles of a triangle are in the ratio 3:4:5, then what is the difference between the greatest and the smallest angle?

A. 25°

B. 46°

C. 40°

D. 30°

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New Worksheet

New Online Test

Unlimited Online Practice

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Factorisation

Sample Question

Find factors of ^@a^ { 3 }-5a^ { 2 }b + 6ab^ { 2 }^@.

A. ^@(a-3b)(a-2b)^@

B. ^@a(a-3b)(a-2b)^@

C. ^@a(a + 3b)(a-2b)^@

D. ^@(-a-3b)(a + 2b)^@

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Introduction to Graphs

Sample Question

The line graph shows the sale of watches in a company.

How many watches were sold in all ^@6^@ months?

A. ^@290^@

B. ^@280^@

C. ^@320^@

D. ^@230^@

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New Worksheet

New Online Test

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Playing with Numbers

Sample Question

In a ^@3^@-digit number, the hundreds digit is ^@twice^@ the tens digit while the units digit is ^@thrice^@ the tens digit. Also, the sum of its digits is ^@18^@. Find the number.

A.
^@639^@

B.
^@963^@

C.
^@396^@

D.
^@693^@

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Full Year 8th Grade Review

Sample Question

A man travels a total distance of 40.2 km in 6 hours. To cover this distance, he had walked part of the time at 4.4 kmph, and cycled for the rest at 9 kmph. How much distance did he cycle?

A. 24

B. 30

C. 26

D. 27

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New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Profit-Loss and Discounts

Sample Question

The marked price of a tricycle is ^@$ 2290^@ and the shopkeeper allows a discount of ^@ 7 \% ^@ on it. Find the selling price of the tricycle.

A.
^@ $ 2132.88 ^@

B.
^@ $ 2131.13 ^@

C.
^@ $ 2134.7 ^@

D.
^@ $ 2129.7 ^@

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New Online Test

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Simple Interest

Sample Question

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

A. 10 years

B. 15 years

C. 8 years

D. 9 years

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Compound Interest

Sample Question

Robert borrowed ^@ $1000 ^@ 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. ^@ $1440 ^@

B. ^@ $1584^@

C. ^@ $1296^@

D. ^@ $1474^@

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New Worksheet

New Online Test

Unlimited Online Practice

EXPLORE

Multiplication of Polynomials

Sample Question

Find product of following polynomials:
( -5p² + p - 5) and (3p² + p - 4)

A. -15p⁴ - 2p³ + 6p² - 9p - 20

B. -15p⁴ + 2p³ + 6p² - 9p + 20

C. -15p⁴ - 2p³ + 6p² + 9p + 20

D. -15p⁴ - 2p³ + 6p² - 9p + 20

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Data Handling-Probability Statistics

Sample Question

Alexandra throws a dice. What is the probability that she will get a prime number?

A.
1
2

B.
1
6

C.
2
3

D. 0

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New Online Test

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Grade 8 Math

Rational Numbers

Sample Question

A perfect square can never have the following digit in its one's place.

A. 9

B. 3

C. 4

D. 0

Linear Equations of One Variable

Sample Question

When a number is divided by a divisor, it gives a quotient that is
1
7
times the divisor, and leaves a remainder that is
1
4
times the divisor. If the remainder was 14, then what was the dividend?

A. 457

B. 453

C. 462

D. 470

Understanding Quadrilaterals

Sample Question

Look at the figure given below:

Find the value of angle ^@z.^@

A.
^@ 82^\circ ^@

B.
^@83^\circ^@

C.
^@ 91^\circ ^@

D.
^@ 77^\circ ^@

Square and Square Roots

Sample Question

State whether the square of ^@53136^@ is odd or even.

A. Even

B. Odd

C.

D.

Cubes and Cube Root

Sample Question

What is the value of ^@ \sqrt[3]{ \dfrac{ -375 } { 24 } } ^@?

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

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

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

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

Comparing Quantities

Sample Question

The difference between discounts of ^@40\%^@ on ^@$200^@ and two successive discounts of ^@35\%^@ and ^@5\%^@ of the same price is

A. ^@$3.5^@

B. ^@$2.5^@

C. ^@$5.5^@

D. Nil

Algebraic Expressions and Identities

Sample Question

A rectangle has an area of ^@ 72x^ { 3 }-31x^ { 2 } + 40x-25 ^@ and one of its sides is ^@ 9x-5 ^@. What is the length of the adjacent side?

A.
^@4x^ { 2 } + 8x-8^@

B.
^@5x-9^@

C.
^@x^ { 2 }-4x-3^@

D.
^@8x^ { 2 } + x + 5^@

Visualizing Solid Shapes

Sample Question

Is it possible to have a regular polygon whose each exterior angle is ^@60\%^@ of a right angle?

A. No

B. Yes

C.

D.

Mensuration

Sample Question

A room that is 12.6 m wide and 16.8 m in length is to be completely carpeted with a carpet that is 0.21 m wide. What length of the carpet is needed?

A. 1011 m

B. 1000 m

C. 1008 m

D. 1003 m

Exponents and Powers

Sample Question

If ^@a^x = b^y = c^z^@ and ^@c = b^{2}a^@, then ^@z^@ is equal to

A. ^@\dfrac{ y + z }{ 2yx }^@

B. ^@\dfrac{ 2yx }{ x + y } ^@

C. ^@\dfrac{ xy }{ 2x + y }^@

D. ^@ \dfrac{ 2zx } { x + z }^@

Direct and Inverse Proportions

Sample Question

If the angles of a triangle are in the ratio 3:4:5, then what is the difference between the greatest and the smallest angle?

A. 25°

B. 46°

C. 40°

D. 30°

Factorisation

Sample Question

Find factors of ^@a^ { 3 }-5a^ { 2 }b + 6ab^ { 2 }^@.

A. ^@(a-3b)(a-2b)^@

B. ^@a(a-3b)(a-2b)^@

C. ^@a(a + 3b)(a-2b)^@

D. ^@(-a-3b)(a + 2b)^@

Introduction to Graphs

Sample Question

The line graph shows the sale of watches in a company.

How many watches were sold in all ^@6^@ months?

A. ^@290^@

B. ^@280^@

C. ^@320^@

D. ^@230^@

Playing with Numbers

Sample Question

In a ^@3^@-digit number, the hundreds digit is ^@twice^@ the tens digit while the units digit is ^@thrice^@ the tens digit. Also, the sum of its digits is ^@18^@. Find the number.

A.
^@639^@

B.
^@963^@

C.
^@396^@

D.
^@693^@

Full Year 8th Grade Review

Sample Question

A man travels a total distance of 40.2 km in 6 hours. To cover this distance, he had walked part of the time at 4.4 kmph, and cycled for the rest at 9 kmph. How much distance did he cycle?

A. 24

B. 30

C. 26

D. 27

Profit-Loss and Discounts

Sample Question

The marked price of a tricycle is ^@$ 2290^@ and the shopkeeper allows a discount of ^@ 7 \% ^@ on it. Find the selling price of the tricycle.

A.
^@ $ 2132.88 ^@

B.
^@ $ 2131.13 ^@

C.
^@ $ 2134.7 ^@

D.
^@ $ 2129.7 ^@

Simple Interest

Sample Question

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

A. 10 years

B. 15 years

C. 8 years

D. 9 years

Compound Interest

Sample Question

Robert borrowed ^@ $1000 ^@ 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. ^@ $1440 ^@

B. ^@ $1584^@

C. ^@ $1296^@

D. ^@ $1474^@

Multiplication of Polynomials

Sample Question

Find product of following polynomials:
( -5p² + p - 5) and (3p² + p - 4)

A. -15p⁴ - 2p³ + 6p² - 9p - 20

B. -15p⁴ + 2p³ + 6p² - 9p + 20

C. -15p⁴ - 2p³ + 6p² + 9p + 20

D. -15p⁴ - 2p³ + 6p² - 9p + 20

Division of Polynomials

Sample Question

(5p² - 8p - 21) ÷ (5p + 7) = ?

A. 3p + 1

B. p - 3

C. -3p + 1

D. -p - 3

Data Handling-Probability Statistics

Sample Question

Alexandra throws a dice. What is the probability that she will get a prime number?

A.
1
2

B.
1
6

C.
2
3

D. 0

Logical Reasoning

Sample Question

(-1)³³⁰ = ?

A. 0

B. 330

C. 1

D. -1

A.	^@ 82^\circ ^@
B.	^@83^\circ^@
C.	^@ 91^\circ ^@
D.	^@ 77^\circ ^@

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

A.	^@4x^ { 2 } + 8x-8^@
B.	^@5x-9^@
C.	^@x^ { 2 }-4x-3^@
D.	^@8x^ { 2 } + x + 5^@

A.	^@\dfrac{ y + z }{ 2yx }^@
B.	^@\dfrac{ 2yx }{ x + y } ^@
C.	^@\dfrac{ xy }{ 2x + y }^@
D.	^@ \dfrac{ 2zx } { x + z }^@

A.	^@(a-3b)(a-2b)^@
B.	^@a(a-3b)(a-2b)^@
C.	^@a(a + 3b)(a-2b)^@
D.	^@(-a-3b)(a + 2b)^@

A.	^@ $ 2132.88 ^@
B.	^@ $ 2131.13 ^@
C.	^@ $ 2134.7 ^@
D.	^@ $ 2129.7 ^@

A.	-15p⁴ - 2p³ + 6p² - 9p - 20
B.	-15p⁴ + 2p³ + 6p² - 9p + 20
C.	-15p⁴ - 2p³ + 6p² + 9p + 20
D.	-15p⁴ - 2p³ + 6p² - 9p + 20

Grade 8 Math

Rational Numbers Sample Question A perfect square can never have the following digit in its one's place. A.9 B.3 C.4 D.0

Linear Equations of One Variable Sample Question When a number is divided by a divisor, it gives a quotient that is 17 times the divisor, and leaves a remainder that is 14 times the divisor. If the remainder was 14, then what was the dividend? A.457 B.453 C.462 D.470

Understanding Quadrilaterals Sample Question Look at the figure given below: Find the value of angle ^@z.^@ A.^@ 82^\circ ^@ B. ^@83^\circ^@ C.^@ 91^\circ ^@ D.^@ 77^\circ ^@

Square and Square Roots Sample Question State whether the square of ^@53136^@ is odd or even. A.Even B.Odd C. D.

Cubes and Cube Root Sample Question What is the value of ^@ \sqrt[3]{ \dfrac{ -375 } { 24 } } ^@? A.^@ \dfrac { -2 } { 3 } ^@ B.^@ \dfrac { -3 } { 5 } ^@ C.^@ \dfrac { -3 } { 2 } ^@ D.^@ \dfrac { -5 } { 2 } ^@

Comparing Quantities Sample Question The difference between discounts of ^@40\%^@ on ^@$200^@ and two successive discounts of ^@35\%^@ and ^@5\%^@ of the same price is A.^@$3.5^@ B.^@$2.5^@ C.^@$5.5^@ D.Nil

Algebraic Expressions and Identities Sample Question A rectangle has an area of ^@ 72x^ { 3 }-31x^ { 2 } + 40x-25 ^@ and one of its sides is ^@ 9x-5 ^@. What is the length of the adjacent side? A.^@4x^ { 2 } + 8x-8^@ B.^@5x-9^@ C.^@x^ { 2 }-4x-3^@ D.^@8x^ { 2 } + x + 5^@

Visualizing Solid Shapes Sample Question Is it possible to have a regular polygon whose each exterior angle is ^@60\%^@ of a right angle? A.No B.Yes C. D.

Mensuration Sample Question A room that is 12.6 m wide and 16.8 m in length is to be completely carpeted with a carpet that is 0.21 m wide. What length of the carpet is needed? A.1011 m B.1000 m C.1008 m D.1003 m

Exponents and Powers Sample Question If ^@a^x = b^y = c^z^@ and ^@c = b^{2}a^@, then ^@z^@ is equal to A.^@\dfrac{ y + z }{ 2yx }^@ B.^@\dfrac{ 2yx }{ x + y } ^@ C.^@\dfrac{ xy }{ 2x + y }^@ D.^@ \dfrac{ 2zx } { x + z }^@

Direct and Inverse Proportions Sample Question If the angles of a triangle are in the ratio 3:4:5, then what is the difference between the greatest and the smallest angle? A.25° B.46° C.40° D.30°

Factorisation Sample Question Find factors of ^@a^ { 3 }-5a^ { 2 }b + 6ab^ { 2 }^@. A.^@(a-3b)(a-2b)^@ B.^@a(a-3b)(a-2b)^@ C.^@a(a + 3b)(a-2b)^@ D.^@(-a-3b)(a + 2b)^@

Playing with Numbers Sample Question In a ^@3^@-digit number, the hundreds digit is ^@twice^@ the tens digit while the units digit is ^@thrice^@ the tens digit. Also, the sum of its digits is ^@18^@. Find the number. A. ^@639^@ B. ^@963^@ C. ^@396^@ D. ^@693^@

Full Year 8th Grade Review Sample Question A man travels a total distance of 40.2 km in 6 hours. To cover this distance, he had walked part of the time at 4.4 kmph, and cycled for the rest at 9 kmph. How much distance did he cycle? A.24 B.30 C.26 D.27

Profit-Loss and Discounts Sample Question The marked price of a tricycle is ^@$ 2290^@ and the shopkeeper allows a discount of ^@ 7 \% ^@ on it. Find the selling price of the tricycle. A. ^@ $ 2132.88 ^@ B. ^@ $ 2131.13 ^@ C.^@ $ 2134.7 ^@ D. ^@ $ 2129.7 ^@

Simple Interest Sample Question A sum of money becomes double of itself at simple interest in 5 years, how long would it take for same amount to become triple? A.10 years B.15 years C.8 years D.9 years

Compound Interest Sample Question Robert borrowed ^@ $1000 ^@ 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.^@ $1440 ^@ B.^@ $1584^@ C.^@ $1296^@ D.^@ $1474^@

Multiplication of Polynomials Sample Question Find product of following polynomials:( -5p2 + p - 5) and (3p2 + p - 4) A. -15p4 - 2p3 + 6p2 - 9p - 20 B. -15p4 + 2p3 + 6p2 - 9p + 20 C. -15p4 - 2p3 + 6p2 + 9p + 20 D. -15p4 - 2p3 + 6p2 - 9p + 20

Division of Polynomials Sample Question (5p2 - 8p - 21) ÷ (5p + 7) = ? A.3p + 1 B.p - 3 C. -3p + 1 D. -p - 3

Data Handling-Probability Statistics Sample Question Alexandra throws a dice. What is the probability that she will get a prime number? A. 12 B. 16 C. 23 D.0

Logical Reasoning Sample Question (-1)330 = ? A.0 B.330 C.1 D.-1

Rational Numbers

Sample Question

A perfect square can never have the following digit in its one's place.

A. 9

B. 3

C. 4

D. 0

Linear Equations of One Variable

Sample Question

When a number is divided by a divisor, it gives a quotient that is
1
7
times the divisor, and leaves a remainder that is
1
4
times the divisor. If the remainder was 14, then what was the dividend?

A. 457

B. 453

C. 462

D. 470

Understanding Quadrilaterals

Sample Question

Look at the figure given below:

Find the value of angle ^@z.^@

A.
^@ 82^\circ ^@

B.
^@83^\circ^@

C.
^@ 91^\circ ^@

D.
^@ 77^\circ ^@

Square and Square Roots

Sample Question

State whether the square of ^@53136^@ is odd or even.

A. Even

B. Odd

C.

D.

Cubes and Cube Root

Sample Question

What is the value of ^@ \sqrt[3]{ \dfrac{ -375 } { 24 } } ^@?

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

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

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

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

Comparing Quantities

Sample Question

The difference between discounts of ^@40\%^@ on ^@$200^@ and two successive discounts of ^@35\%^@ and ^@5\%^@ of the same price is

A. ^@$3.5^@

B. ^@$2.5^@

C. ^@$5.5^@

D. Nil

Algebraic Expressions and Identities

Sample Question

A rectangle has an area of ^@ 72x^ { 3 }-31x^ { 2 } + 40x-25 ^@ and one of its sides is ^@ 9x-5 ^@. What is the length of the adjacent side?

A.
^@4x^ { 2 } + 8x-8^@

B.
^@5x-9^@

C.
^@x^ { 2 }-4x-3^@

D.
^@8x^ { 2 } + x + 5^@

Visualizing Solid Shapes

Sample Question

Is it possible to have a regular polygon whose each exterior angle is ^@60\%^@ of a right angle?

A. No

B. Yes

C.

D.

Mensuration

Sample Question

A room that is 12.6 m wide and 16.8 m in length is to be completely carpeted with a carpet that is 0.21 m wide. What length of the carpet is needed?

A. 1011 m

B. 1000 m

C. 1008 m

D. 1003 m

Exponents and Powers

Sample Question

If ^@a^x = b^y = c^z^@ and ^@c = b^{2}a^@, then ^@z^@ is equal to

A. ^@\dfrac{ y + z }{ 2yx }^@

B. ^@\dfrac{ 2yx }{ x + y } ^@

C. ^@\dfrac{ xy }{ 2x + y }^@

D. ^@ \dfrac{ 2zx } { x + z }^@

Direct and Inverse Proportions

Sample Question

If the angles of a triangle are in the ratio 3:4:5, then what is the difference between the greatest and the smallest angle?

A. 25°

B. 46°

C. 40°

D. 30°

Factorisation

Sample Question

Find factors of ^@a^ { 3 }-5a^ { 2 }b + 6ab^ { 2 }^@.

A. ^@(a-3b)(a-2b)^@

B. ^@a(a-3b)(a-2b)^@

C. ^@a(a + 3b)(a-2b)^@

D. ^@(-a-3b)(a + 2b)^@

Playing with Numbers

Sample Question

In a ^@3^@-digit number, the hundreds digit is ^@twice^@ the tens digit while the units digit is ^@thrice^@ the tens digit. Also, the sum of its digits is ^@18^@. Find the number.

A.
^@639^@

B.
^@963^@

C.
^@396^@

D.
^@693^@

Full Year 8th Grade Review

Sample Question

A man travels a total distance of 40.2 km in 6 hours. To cover this distance, he had walked part of the time at 4.4 kmph, and cycled for the rest at 9 kmph. How much distance did he cycle?

A. 24

B. 30

C. 26

D. 27

Profit-Loss and Discounts

Sample Question

The marked price of a tricycle is ^@$ 2290^@ and the shopkeeper allows a discount of ^@ 7 \% ^@ on it. Find the selling price of the tricycle.

A.
^@ $ 2132.88 ^@

B.
^@ $ 2131.13 ^@

C.
^@ $ 2134.7 ^@

D.
^@ $ 2129.7 ^@

Simple Interest

Sample Question

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

A. 10 years

B. 15 years

C. 8 years

D. 9 years

Compound Interest

Sample Question

Robert borrowed ^@ $1000 ^@ 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. ^@ $1440 ^@

B. ^@ $1584^@

C. ^@ $1296^@

D. ^@ $1474^@

Multiplication of Polynomials

Sample Question

Find product of following polynomials:
( -5p² + p - 5) and (3p² + p - 4)

A. -15p⁴ - 2p³ + 6p² - 9p - 20

B. -15p⁴ + 2p³ + 6p² - 9p + 20

C. -15p⁴ - 2p³ + 6p² + 9p + 20

D. -15p⁴ - 2p³ + 6p² - 9p + 20

Division of Polynomials

Sample Question

(5p² - 8p - 21) ÷ (5p + 7) = ?

A. 3p + 1

B. p - 3

C. -3p + 1

D. -p - 3

Data Handling-Probability Statistics

Sample Question

Alexandra throws a dice. What is the probability that she will get a prime number?

A.
1
2

B.
1
6

C.
2
3

D. 0

Logical Reasoning

Sample Question

(-1)³³⁰ = ?

A. 0

B. 330

C. 1

D. -1