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Important Questions

Number System

Gujarat Board · Class 9 · Mathematics

Most important questions from Number System for Gujarat Board Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

45 questions28 flashcards5 concepts

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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.
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45 Questions·
multiple choicetext answermultiple correcttrue false

Sample Questions

1text answer

Express 0.75 as a fraction in its simplest form.

2multiple correct

Which of the following numbers are irrational? (Select all correct answers)

Show answer

√5, π, 0.101001000100001...

√5 is irrational because 5 is not a perfect square. π is irrational (though 22/7 is a rational approximation). 0.101001000100001... is non-terminating non-recurring, making it irrational. √16 = 4, which is rational, and 22/7 is a rational number.

3text answer

Calculate: √12 + √27

4true false

True or False: The sum of a rational and an irrational number is always irrational.

Show answer

True

This statement is true. If r is rational and s is irrational, then r + s is always irrational. If it were rational, then s = (r + s) - r would be the difference of two rationals, making s rational, which contradicts our assumption.

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Frequently Asked Questions

What are the important topics in Number System for Gujarat Board Class 9 Mathematics?
Key topics in Number System include Number System Overview, Mind map showing the hierarchical classification of real numbers and how each type relates to others, Flowchart showing the decision process to determine if a number is rational. These are the concepts Gujarat Board Class 9 examiners draw on most — study them first, then practise related questions.
How to score full marks in Number System — Gujarat Board Class 9 Mathematics?
Understand the core concepts first, then work through the 45 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 Number System?
There are 45 practice questions available for Number System. 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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All 12 chapters — Gujarat Board Class 9 Mathematics Important Questions

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