Class 9 Mathematics Chapter 3: The World of Numbers — Important Questions & Mock Tests
Practice The World of Numbers topic-wise important questions, MCQs and 1, 2, 3 and 5 mark questions for CBSE revision.
300 Questions 60 Topics MCQs: 100 1 Mark: 50 2 Mark: 50 3 Mark: 50 5 Mark: 50
Topic-wise important and practice questions
Review question distribution across chapter topics for MCQs, 1 Mark questions, 2 Mark questions, 3 Mark questions, 5 Mark questions.
| Topic | MCQ | 1 Mark | 2 Mark | 3 Mark | 5 Mark | Total |
|---|---|---|---|---|---|---|
| Density of Rational Numbers | 6 | 5 | 5 | 5 | 5 | 26 |
| Absolute Value of Rational Numbers | 5 | 5 | 0 | 0 | 0 | 10 |
| Brahmagupta's Rules for Zero | 5 | 5 | 0 | 0 | 0 | 10 |
| Closure of Natural Numbers under Subtraction | 5 | 5 | 0 | 0 | 0 | 10 |
| Cyclic Numbers | 5 | 0 | 0 | 5 | 0 | 10 |
| Definition of Rational Numbers | 5 | 5 | 0 | 0 | 0 | 10 |
| Equality of Rational Numbers | 5 | 0 | 5 | 0 | 0 | 10 |
| Equivalent Rational Numbers | 5 | 5 | 0 | 0 | 0 | 10 |
| Hierarchy of Number Sets | 5 | 0 | 5 | 0 | 0 | 10 |
| Multiplication of Integers | 5 | 5 | 0 | 0 | 0 | 10 |
| Construction of √2 on the Number Line | 1 | 0 | 0 | 5 | 0 | 6 |
| Representation of Rational Numbers on the Number Line | 1 | 0 | 5 | 0 | 0 | 6 |
| Addition of Rational Numbers | 0 | 0 | 5 | 0 | 0 | 5 |
| Application of Integer Arithmetic | 0 | 0 | 0 | 5 | 0 | 5 |
| Arithmetic Laws and Properties of Rational Numbers | 0 | 0 | 0 | 0 | 5 | 5 |
| Classification of Real Numbers by Decimal and Algebraic Form | 0 | 0 | 0 | 5 | 0 | 5 |
| Closure Properties of Rational Numbers | 5 | 0 | 0 | 0 | 0 | 5 |
| Converting General Repeating Decimals to Rational Form | 0 | 0 | 0 | 5 | 0 | 5 |
| Converting Pure Repeating Decimals to Rational Form | 0 | 0 | 5 | 0 | 0 | 5 |
| Converting Terminating Decimals to Rational Form | 5 | 0 | 0 | 0 | 0 | 5 |
| Decimal Signature of Rational and Irrational Numbers | 0 | 5 | 0 | 0 | 0 | 5 |
| Decimal Signature of Rational Numbers | 5 | 0 | 0 | 0 | 0 | 5 |
| Distance and Absolute Value on the Number Line | 0 | 0 | 0 | 5 | 0 | 5 |
| Evolution from Natural Numbers to Real Numbers | 0 | 0 | 0 | 0 | 5 | 5 |
| General Repeating Decimal to Rational Form | 0 | 0 | 0 | 0 | 5 | 5 |
| Historical Evolution of Number Systems | 0 | 0 | 0 | 5 | 0 | 5 |
| Integers as Debts and Fortunes | 5 | 0 | 0 | 0 | 0 | 5 |
| Irrational Numbers and Square Roots | 5 | 0 | 0 | 0 | 0 | 5 |
| Ishango Bone and Number Patterns | 0 | 0 | 5 | 0 | 0 | 5 |
| Non-Uniqueness of Decimal Representations | 0 | 0 | 0 | 0 | 5 | 5 |
| Number Line, Absolute Value and Density | 0 | 0 | 0 | 0 | 5 | 5 |
| One-to-One Correspondence and Counting | 0 | 5 | 0 | 0 | 0 | 5 |
| Operations on Rational Numbers | 0 | 0 | 0 | 5 | 0 | 5 |
| Predicting Decimal Expansion from Denominator | 0 | 5 | 0 | 0 | 0 | 5 |
| Prime-Factor Criterion for Decimal Expansion | 0 | 0 | 0 | 0 | 5 | 5 |
| Proof by Contradiction for Irrational Square Roots | 0 | 0 | 0 | 5 | 0 | 5 |
| Proof by Contradiction for Irrationality of √2 | 5 | 0 | 0 | 0 | 0 | 5 |
| Rational and Irrational Numbers within the Reals | 0 | 0 | 0 | 0 | 5 | 5 |
| Square Root Spiral and Construction of Irrational Lengths | 0 | 0 | 0 | 0 | 5 | 5 |
| Subtracting Negative Integers | 0 | 0 | 5 | 0 | 0 | 5 |
| Terminating and Repeating Decimal Criterion | 5 | 0 | 0 | 0 | 0 | 5 |
| Terminating Decimal Criterion | 0 | 0 | 5 | 0 | 0 | 5 |
| Zero: Placeholder versus Operational Number | 0 | 0 | 5 | 0 | 0 | 5 |
| Absolute Value and Symmetry on the Number Line | 1 | 0 | 0 | 0 | 0 | 1 |
| Additive Inverses on the Number Line | 1 | 0 | 0 | 0 | 0 | 1 |
| Distance Between Rational Numbers | 1 | 0 | 0 | 0 | 0 | 1 |
| Improper Fractions on the Number Line | 1 | 0 | 0 | 0 | 0 | 1 |
| Indian Context: Trade and Number Systems | 1 | 0 | 0 | 0 | 0 | 1 |
| Irrational Length √2 | 1 | 0 | 0 | 0 | 0 | 1 |
| Ishango Bone and Early Number Patterns | 1 | 0 | 0 | 0 | 0 | 1 |
| Large Numbers in Ancient India | 1 | 0 | 0 | 0 | 0 | 1 |
| Lebombo Bone and Tally Counting | 1 | 0 | 0 | 0 | 0 | 1 |
| Number-Line Representation of Fractions | 1 | 0 | 0 | 0 | 0 | 1 |
| One-to-One Correspondence and Natural Numbers | 1 | 0 | 0 | 0 | 0 | 1 |
| Proof of Irrationality of √11 | 0 | 0 | 0 | 0 | 1 | 1 |
| Proof of Irrationality of √2 | 0 | 0 | 0 | 0 | 1 | 1 |
| Proof of Irrationality of √3 | 0 | 0 | 0 | 0 | 1 | 1 |
| Proof of Irrationality of √5 | 0 | 0 | 0 | 0 | 1 | 1 |
| Proof of Irrationality of √7 | 0 | 0 | 0 | 0 | 1 | 1 |
| Square Root Spiral | 1 | 0 | 0 | 0 | 0 | 1 |