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Class 10th Mathematics Chapter 1 Real Numbers – PYQ

Previous year questions (PYQ) with answers for Class 10th Mathematics Chapter 1 Real Numbers, based on the NCERT CBSE syllabus.

Topics covered in Real Numbers

Frequently asked questions

Where can I find previous year questions (PYQ) for Class 10th Mathematics Chapter 1 Real Numbers?

This page lists previous year questions with answers for Real Numbers. Topics covered: Euclid's division lemma, HCF and LCM, Fundamental theorem of arithmetic, Irrational numbers.

Are Real Numbers PYQs free?

Yes, Notebook gives free previous year questions for Class 10 Mathematics.

How to prepare Real Numbers for Class 10 Mathematics exams?

Read the Real Numbers notes first, revise the key topics (Euclid's division lemma, HCF and LCM, Fundamental theorem of arithmetic, Irrational numbers), then practise the important questions and previous year questions (PYQ) for this chapter.

Where can I find Class 10th Mathematics Chapter 1 Real Numbers pyq for quick revision?

You are on the right page: this pyq page for Real Numbers covers Class 10 Mathematics for the CBSE exam 2026-27. Use the tabs on this chapter for notes, important questions and PYQ.

Is Class 10th Mathematics Chapter 1 Real Numbers important for the CBSE exam 2026-27?

Real Numbers is part of the Class 10 Mathematics NCERT CBSE syllabus. Notebook gives notes, important questions and PYQs for it, free.

Also see: Class 10th Mathematics Chapter 1 Real Numbers Notes · Class 10th Mathematics Chapter 1 Real Numbers Important Questions

Real Numbers

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2 Marks CBSE 2020
Find the LCM and HCF of 12, 15 and 21 using prime factorisation.
Ans: 12=2²×3, 15=3×5, 21=3×7. HCF=3. LCM=2²×3×5×7=420.
3 Marks CBSE 2021
Prove that 3 + 2√5 is irrational.
Ans: Assume 3+2√5 = p/q (rational). Then √5 = (p/q-3)/2 = rational. But √5 is irrational — contradiction. Hence 3+2√5 is irrational.
2 Marks CBSE 2022
Without actual division, determine whether 987/10500 is terminating or non-terminating.
Ans: 10500 = 2²×3×5³×7. Since denominator has 3 and 7 as prime factors (other than 2 and 5), it is non-terminating repeating.
3 Marks CBSE 2023
Use Euclid's algorithm to find the HCF of 867 and 255.
Ans: 867 = 255×3 + 102; 255 = 102×2 + 51; 102 = 51×2 + 0. HCF = 51.
Other chapters in Mathematics · Class 10 View all Mathematics chapters →
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