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Real Numbers

Maharashtra Board · Class 9 · Mathematics

Practice quiz for Real Numbers — Maharashtra Board Class 9 Mathematics. MCQs and questions with answers to test your preparation.

45 questions25 flashcards5 concepts

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Quick Quiz: Real Numbers

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1

Which of the following is a rational number?

2

Express 0.̄3̄ (0.333...) as a fraction in simplest form.

3

Simplify √48 to its simplest surd form.

4

Calculate: √2 × √8

45 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

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

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√5, π

√5 and π are irrational. √9 = 3, √16 = 4, ∛8 = 2 are rational numbers, and 2.5 = 5/2 is rational.

2multiple choice

What is the rationalizing factor of √3?

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√3

The rationalizing factor of √3 is √3 because √3 × √3 = 3, which is rational. The product gives us a rational number.

3multiple choice

Rationalize the denominator: 1/√5

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√5/5

1/√5 = (1 × √5)/(√5 × √5) = √5/5. We multiply both numerator and denominator by √5 to rationalize.

4multiple correct

Which of the following operations always result in an irrational number? (Select all correct)

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Rational + Irrational, Rational × Irrational (non-zero)

Rational + Irrational and Rational × Irrational (non-zero) always give irrational results. However, Irrational + Irrational can be rational (e.g., √2 + (-√2) = 0) and Irrational × Irrational can be rational (e.g., √2 × √2 = 2).

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Frequently Asked Questions

What are the important topics in Real Numbers for Maharashtra Board Class 9 Mathematics?
Key topics in Real Numbers include Hierarchical classification showing how different number sets fit within real numbers, Two-branch diagram showing properties for both addition and multiplication operations, Decision tree for determining if a rational number's decimal is terminating or recurring. These are the concepts Maharashtra Board Class 9 examiners draw on most — study them first, then practise related questions.
How to score full marks in Real Numbers — Maharashtra 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.

Sources & Official References

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

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