Practice REAL NUMBERS - 1 | 1. REAL NUMBERS | CBSE 10 Mathematics
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REAL NUMBERS

1 - REAL NUMBERS

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Express 45 as a product of its prime factors.

💡 Hint: Start by dividing by the smallest prime number.

Question 2 Easy

What is the HCF of 14 and 21?

💡 Hint: List the prime factors.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Fundamental Theorem of Arithmetic state?

Every number is prime
Every composite number can be expressed uniquely as a product of primes
Primes are infinite

💡 Hint: Focus on the uniqueness aspect.

Question 2

Are all prime numbers irrational?

True
False

💡 Hint: Consider the definitions of rational and irrational.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that the square root of 5 is irrational.

💡 Hint: Use the prime factorization approach.

Challenge 2 Hard

Demonstrate the relationship of HCF, LCM in three numbers using examples.

💡 Hint: Look for common and unique prime factors in each.

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Reference links

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