Rational Numbers Practice Questions

Class 8 · Mathematics · 1153 free MCQs with instant results and detailed explanations.

1153

Total

359

Easy

564

Medium

230

Hard

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Topics in Rational Numbers

Between Two Rationals 407

Representation on Number Line 394

Properties of Rational Numbers 352

Sample Questions from Rational Numbers

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Easy

Which of the following statements about rational numbers is true?

A. The sum of two rational numbers is always rational.

B. The product of two rational numbers is always irrational.

C. The difference of two rational numbers is always irrational.

D. The quotient of two rational numbers is never rational.

Show Answer & Explanation

Correct Answer: A

The sum of two rational numbers results in another rational number, as it can be expressed as a fraction of integers.

Easy

Which of the following is a rational number?

A. 1/2

B. √2

C. π

D. e

Show Answer & Explanation

Correct Answer: A

A rational number is one that can be expressed as a fraction of two integers.

Easy

If x = -2/3, what is the value of 3x?

A. 2

B. -2

C. -1

D. 1

Show Answer & Explanation

Correct Answer: B

Multiply 3 by -2/3 gives -2, as the 3 cancels with the denominator.

Medium

Which property is illustrated by the expression (−3/4) + (1/4) = (−2/4)?

A. Associative Property

B. Commutative Property

C. Closure Property

D. Additive Inverse

Show Answer & Explanation

Correct Answer: B

This expression shows that the order in which you add rational numbers does not affect the sum, which is the Commutative Property.

Medium

If a rational number a/b is multiplied by its reciprocal b/a, what is the result?

A. 0

B. 1

C. a

D. b

Show Answer & Explanation

Correct Answer: B

The product of a number and its reciprocal is always 1.

Medium

Which of these statements about rational numbers is false?

A. Every integer is a rational number.

B. The sum of two rational numbers is always rational.

C. The product of two rational numbers is irrational.

D. A rational number can be expressed as a fraction.

Show Answer & Explanation

Correct Answer: C

The product of two rational numbers is always rational, not irrational.

Medium

What is the additive inverse of −7/8?

A. 7/8

B. −7/8

C. 1/8

D. −1/8

Show Answer & Explanation

Correct Answer: A

The additive inverse of a number is the number that, when added to it, equals zero. Hence, the additive inverse of −7/8 is 7/8.

Hard

Which of the following is an example of two rational numbers that are additive inverses?

A. 2/5 and -2/5

B. 3/4 and 1/4

C. 1/2 and 2/3

D. -1/3 and -2/3

Show Answer & Explanation

Correct Answer: A

Additive inverses are numbers that add up to zero. 2/5 + (-2/5) = 0.

Hard

What is the product of the rational numbers -3/8 and 4/9?

A. -1/6

B. -1/3

C. 1/6

D. -1/2

Show Answer & Explanation

Correct Answer: B

Multiplying two fractions involves multiplying the numerators and the denominators: (-3 * 4) / (8 * 9) = -12/72 = -1/6.

Q10

Hard

Which of the following statements about the closure property of rational numbers under addition is true?

A. The sum of two rational numbers is always a rational number.

B. The sum of two rational numbers can be irrational.

C. Rational numbers cannot be added.

D. Only integers are closed under addition.

Show Answer & Explanation

Correct Answer: A

The closure property states that adding two rational numbers will always yield another rational number.

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Rational Numbers — Class 8 Mathematics Practice Questions Online

This page contains 1153 practice MCQs for the chapter Rational Numbers in Class 8 Mathematics. The questions are organized by difficulty — 359 easy, 564 medium, 230 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.