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Number System — Practice Quiz

Gujarat Board · Class 9 · Mathematics

Try a 4-question quiz on Number System for Gujarat Board Class 9 Mathematics: tap an answer to check it and see why. 45 questions in the full chapter test.

45 questions28 flashcards5 formulas & key relations5 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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Quick Quiz: Number System

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

Which of the following is a rational number?

2

What type of decimal expansion does 1/3 have?

3

Express 0.6̄ (0.666...) as a fraction.

4

Rationalize the denominator of 1/(2 + √3).

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.

+41 more questions on Number System (Gujarat Board Class 9 Mathematics)

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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 Types of Numbers – The Complete Picture, Irrational Numbers and Their Properties, Decimal Expansions of Real Numbers, Operations on Real Numbers. Study these first, then practise questions on each for Class 9 exams.
How many practice questions are there for Number System?
There are 45 questions on Number System. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

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All Gujarat Board Class 9 Mathematics Practice Quiz

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