Real Numbers
27 CBSE Class 10 Mathematics practice questions with answers and worked solutions.
About this chapter
- Difficulty: 11 easy · 16 moderate.
- Most-asked subtopics: HCF and LCM by Prime Factorisation (11), Irrational Numbers and Proof by Contradiction (8), Fundamental Theorem of Arithmetic (8).
- Updated 15 September 2026.
#1Fundamental Theorem of Arithmetic
#2HCF and LCM by Prime Factorisation
#3HCF and LCM by Prime Factorisation
#4HCF and LCM by Prime Factorisation
- Set · 5 questionsExpress each number as a product of its prime factors:
#5Fundamental Theorem of Arithmetic
#6Fundamental Theorem of Arithmetic
#7Fundamental Theorem of Arithmetic
#8Fundamental Theorem of Arithmetic
#9Fundamental Theorem of Arithmetic
Done a few? Here’s your next move
- Set · 3 questionsFind the LCM and HCF of the following pairs of integers and verify that LCM HCF = product of the two numbers.
#10HCF and LCM by Prime Factorisation
#11HCF and LCM by Prime Factorisation
#12HCF and LCM by Prime Factorisation
- Set · 3 questionsFind the LCM and HCF of the following integers by applying the prime factorisation method.
#13HCF and LCM by Prime Factorisation
#14HCF and LCM by Prime Factorisation
#15HCF and LCM by Prime Factorisation
#16HCF and LCM by Prime Factorisation
#17Fundamental Theorem of Arithmetic
#18Fundamental Theorem of Arithmetic
#19HCF and LCM by Prime Factorisation
#20Irrational Numbers and Proof by Contradiction
#21Irrational Numbers and Proof by Contradiction
#22Irrational Numbers and Proof by Contradiction
#23Irrational Numbers and Proof by Contradiction
#24Irrational Numbers and Proof by Contradiction
- Set · 3 questionsProve that the following are irrationals :
#25Irrational Numbers and Proof by Contradiction
#26Irrational Numbers and Proof by Contradiction
#27Irrational Numbers and Proof by Contradiction