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Real Numbers — Practice Quiz

Maharashtra Board · Class 9 · Mathematics

Try a 4-question quiz on Real Numbers for Maharashtra Board Class 9 Mathematics: tap an answer to check it and see why.

45 questions25 flashcards11 formulas & key relations5 concepts

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Quick Quiz: Real Numbers

0/4

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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).

+41 more questions on Real Numbers (Maharashtra Board Class 9 Mathematics)

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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 Number Systems – Hierarchy and Recall, Properties of Rational Numbers, Decimal Forms of Rational Numbers and Converting Recurring Decimals, Irrational Numbers and Real Numbers. Study these first, then practise questions on each for Class 9 exams.
How many practice questions are there for Real Numbers?
There are 45 questions on Real Numbers. 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.

More resources for Real Numbers

All Maharashtra Board Class 9 Mathematics Practice Quiz

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