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Important Questions

The World of Numbers

CBSE · Class 9 · Mathematics

Most important questions from The World of Numbers for CBSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

89 questions76 flashcards5 concepts

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89 Questions·
multiple choicemultiple correcttrue falsenumerical

Sample Questions

1multiple choice
3 marks

A decimal 2.35 overline 7 is converted into a fraction. What is its value as p/q?

Show answer

1061/450

Let x = 2.35 overline 7. Multiply by 100 to move the non-repeating digits: 100x = 235.overline 7. Multiply again by 10: 1000x = 2357.overline 7. Subtract: 1000x - 100x = 2357.overline 7 - 235.overline 7 = 2122. So 900x = 2122 and x = 2122/900 = 1061/450.

2multiple correct
3 marks

A fraction 2/3 is compared with 4/6. Which statement about these rational numbers is correct?

Show answer

They are equal, They satisfy ad = bc

Check equality using cross multiplication: 2 × 6 = 12 and 3 × 4 = 12. Since ad = bc, the fractions are equal. Different denominators do not mean different values.

3multiple correct
3 marks

Which properties are true for rational numbers?

Show answer

They are closed under addition, They are closed under subtraction, They are closed under multiplication

Rational numbers remain rational after addition, subtraction, and multiplication. They are also closed under division as long as division by zero is avoided. So the statement that they are never closed under division is false.

4multiple correct
3 marks

A fraction 3/20 is written as a decimal. Which statements are correct?

Show answer

It equals 0.15, It is a terminating decimal, Its denominator has only 2 and 5 as prime factors after simplification

3/20 = 3/(2^2 × 5). Multiplying numerator and denominator by 5 gives 15/100 = 0.15. Since the denominator can become a power of 10, the decimal terminates.

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Frequently Asked Questions

What are the important topics in The World of Numbers for CBSE Class 9 Mathematics?
The World of Numbers covers several key topics that are frequently asked in CBSE 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 The World of Numbers — CBSE Class 9 Mathematics?
Understand the core concepts first, then work through the 89 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 The World of Numbers?
There are 89 practice questions available for The World of 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.

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