Skip to main content
Super TutorResources
Chapter 1 of 28
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Important Questions

Rational and Irrational Numbers

ICSE · Class 9 · Mathematics

Most important questions from Rational and Irrational Numbers for ICSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

35 questions30 flashcards5 concepts

Interactive on Super Tutor

Studying Rational and Irrational Numbers? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.

Try Super Tutor — Free

1,000+ Class 9 students started this chapter today

A nested Venn diagram illustrating the relationships between natural numbers (N), integers (Z), rational numbers (Q), and real numbers (R) as subsets of each other.
Super Tutor

Learn better with visuals Super Tutor has hundreds of illustrations like this across every chapter — all free to try.

Get started
35 Questions·
multiple choicemultiple correcttext answertrue falsematchingordering

Sample Questions

1multiple correct

Which of the following numbers are rational?

Show answer

0.333..., √16, 22/7

Step 1: Check each number. 0.333... = 1/3 (recurring decimal = rational). √16 = 4 (perfect square = rational). √7 is non-terminating non-recurring (irrational). 22/7 is already in p/q form (rational). π = 3.14159... is non-terminating non-recurring (irrational).

2text answer

Calculate: 2√3 × 3√3

3true false

The sum of a rational number and an irrational number is always irrational.

Show answer

True

Step 1: Let r be rational and i be irrational. Step 2: Assume r + i = q (rational). Step 3: Then i = q - r. Since q and r are both rational, q - r is rational. Step 4: This contradicts that i is irrational. Therefore, r + i must be irrational.

4multiple correct

Which of the following are properties of irrational numbers?

Show answer

Non-terminating, non-recurring decimals, Cannot be expressed as p/q, Product with non-zero rational is irrational

Step 1: Check each property. Non-terminating, non-recurring decimals ✓. Cannot be expressed as p/q ✓. Sum of two irrationals: (2+√3) + (2-√3) = 4 (rational) ✗. Product with non-zero rational: 2×√3 = 2√3 (irrational) ✓.

+31 more questions available

Practice All

Frequently Asked Questions

What are the important topics in Rational and Irrational Numbers for ICSE Class 9 Mathematics?
Rational and Irrational Numbers covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Rational and Irrational Numbers — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 35 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Rational and Irrational Numbers?
There are 35 practice questions available for Rational and Irrational Numbers. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Rational and Irrational Numbers

All 28 chapters — ICSE Class 9 Mathematics Important Questions

For serious students

Get the full Rational and Irrational Numbers chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 9 Mathematics.

Try Super Tutor Free
Try the full chapter — Free