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Subjects

Mathematics

General chapter practice

This practice topic helps Class 9 Mathematics students consolidate the ideas from Number Systems through a focused set of questions. Students work with rational and irrational numbers, locate numbers on the number line, interpret decimal expansions, and apply the laws of exponents. The exercises strengthen calculation, comparison, simplification, and mathematical reasoning while encouraging learners to explain why a result is valid. It supports concept revision, self-assessment, and written problem-solving.

Topic overview

Concept revision

For K = {x : x is a natural number and x < 4}, which statement is correct?

The governing concept is listing members that satisfy a set-builder rule. In this question, natural numbers are taken as 1, 2, 3, and so on.

Which option correctly describes L = {2, 3, 5, 7, 11}?

The governing concept is identifying a set by a common number property. Each listed number—2, 3, 5, 7, and 11—has exactly two positive divisors, 1 and itself, so each is prime; all are also less than 12.

How many elements are in E={x: x is an even digit}?

The decimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. An even digit is divisible by 2 without a remainder.

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