Real Numbers: Class 10 Mathematics (गणित) (MP Board) important questions and practice
Real Numbers is chapter 1 of 14 in MP Board Class 10 Mathematics (गणित). Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Fundamental Theorem of Arithmetic
- HCF and LCM by prime factorisation
- Proving irrationality of root 2, root 3, root 5
- Irrationality of expressions like 3 + 2 root 5
- Relation HCF x LCM = product of two numbers
What examiners usually ask
- Prove that root 5 is an irrational number
- Find the HCF and LCM of 96 and 404 by prime factorisation and verify HCF x LCM = product
- Explain why 7 x 11 x 13 + 13 is a composite number
Exam tip
The irrationality proof by contradiction is asked nearly every year; write the assumption 'root 5 = p/q, p and q coprime' explicitly, because missing the coprime condition breaks the proof.
Real Numbers on other boards and exams
Frequently asked questions
What are the important questions from Real Numbers for MP Board Class 10?
The question types listed above repeat most often in MP Board Class 10 Mathematics (गणित) papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Real Numbers in the MP Board Class 10 Mathematics (गणित) syllabus?
Yes. Real Numbers is part of the current MP Board Class 10 Mathematics (गणित) syllabus, as listed on this site from the prescribed textbook.
Can I practise Real Numbers MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.