Class 10 Maths Real Numbers Tests
Practise Chapter 1: Real Numbers with focused tests for CBSE and NCERT Class 10 Maths preparation. Attempt each test without notes first, then review the solutions to improve accuracy and exam presentation.
These tests cover Euclid's division algorithm, the Fundamental Theorem of Arithmetic, HCF and LCM, rational and irrational numbers, and standard proofs of irrationality.
For a stronger revision routine, first revise the definitions and theorem statements, then solve the questions with clear steps. Check whether your prime factorisation is complete, whether HCF and LCM calculations are consistent, and whether an irrationality proof reaches a contradiction. Use the test scores to identify topics that need another review before attempting a full-length paper.
While solving, pay special attention to:
- writing each step of Euclid's division algorithm in the correct order;
- using prime factorisation to justify terminating and non-terminating decimals;
- distinguishing an HCF result from an LCM result in word problems; and
- presenting contradiction proofs with a clear assumption and conclusion.
After completing a test, record the topics behind your mistakes and retake the test after revision.
Test Series Guidelines: Chapter 1 Real Numbers
Each periodic test evaluates core competencies tested in CBSE Board Unit 1 (6 marks total). Allocate exactly 30 minutes per 25-mark test. Focus on writing out complete contradiction proofs for irrationality and showing stepwise prime factor trees to ensure full marks under standard CBSE marking schemes.