Number Systems Practice Questions

Class 9 · Mathematics · 3195 free MCQs with instant results and detailed explanations.

3195

Total

969

Easy

1603

Medium

623

Hard

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Topics in Number Systems

Real Numbers 870

Laws of Exponents 583

Rational Numbers 842

Irrational Numbers 900

Sample Questions from Number Systems

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Easy

Which of the following is a rational number?

A. 3/4

B. √2

C. π

D. e

Show Answer & Explanation

Correct Answer: A

A rational number can be expressed as a fraction of two integers. 3/4 is such a fraction.

Easy

What is the sum of the rational numbers -2/5 and 3/10?

A. 1/10

B. 1/5

C. 1/2

D. 1/4

Show Answer & Explanation

Correct Answer: A

To add these, we convert -2/5 to -4/10 and then add -4/10 + 3/10 = -1/10.

Easy

Which of the following is NOT a property of rational numbers?

A. Closure under addition

B. Closure under multiplication

C. Closure under division by zero

D. Closure under subtraction

Show Answer & Explanation

Correct Answer: C

Rational numbers are not closed under division by zero as division by zero is undefined.

Medium

Which of the following numbers is a rational number?

A. √2

B. 0.75

C. π

D. e

Show Answer & Explanation

Correct Answer: B

0.75 can be expressed as 3/4, making it a rational number, which is defined as a number that can be expressed as a fraction of two integers.

Medium

Which of the following is true about the product of two rational numbers?

A. It is always positive.

B. It can be negative.

C. It is always a whole number.

D. It is irrational if one factor is irrational.

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Correct Answer: B

The product of two rational numbers can be negative if one of the numbers is negative.

Medium

Which of the following fractions represents a rational number between 1/4 and 1/3?

A. 3/10

B. 2/7

C. 5/12

D. 1/2

Show Answer & Explanation

Correct Answer: A

3/10 is approximately 0.3, which lies between 0.25 (1/4) and 0.33 (1/3).

Medium

If x is a rational number such that x^2 = 25, what is the value of x?

A. 5

B. -5

C. ±5

D. 0

Show Answer & Explanation

Correct Answer: C

x can be either 5 or -5 because both values satisfy the equation x^2 = 25.

Hard

Which of the following is NOT a rational number?

A. 3/4

B. √2

C. -5

D. 0

Show Answer & Explanation

Correct Answer: B

√2 is an irrational number because it cannot be expressed as a fraction of two integers.

Hard

If a and b are rational numbers such that a = 2/3 and b = 5/4, what is the value of a + b?

A. 11/12

B. 23/12

C. 22/12

D. 15/12

Show Answer & Explanation

Correct Answer: B

To add fractions, find a common denominator. The common denominator of 3 and 4 is 12. Therefore, (2/3) + (5/4) = (8/12) + (15/12) = 23/12.

Q10

Hard

Which of the following fractions has the largest value?

A. 1/2

B. 2/5

C. 3/8

D. 4/9

Show Answer & Explanation

Correct Answer: A

To compare fractions, convert them to a common denominator or convert them to decimal form. 1/2 is 0.5, which is larger than the decimal equivalents of the others.

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Number Systems — Class 9 Mathematics Practice Questions Online

This page contains 3195 practice MCQs for the chapter Number Systems in Class 9 Mathematics. The questions are organized by difficulty — 969 easy, 1603 medium, 623 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 4 topics, giving you comprehensive coverage of the entire chapter.