Is this Class 10 Maths worksheet on Real Numbers free?

Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.

Does the Real Numbers worksheet come with answers?

Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.

Can I choose how many questions and which types?

Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.

Which board and class is this for?

This worksheet is aligned to CBSE Class 10 Maths, chapter “Real Numbers”.

🧾 CBSE · Class 10

Class 10 Maths: Real Numbers Worksheet (with Answers)

A free, print-ready worksheet on Real Numbers for CBSE Class 10 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

Generate your own worksheet for this chapter →Read the chapter notes

Sample worksheet

7 of 19 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

1. The Fundamental Theorem of Arithmetic is about expressing a composite number as a product of:
- (a) primes, uniquely
- (b) odd numbers
- (c) perfect squares
- (d) even numbers
2. If the HCF of two numbers is 18 and their LCM is 720, and one number is 90, the other is:
- (a) 90
- (b) 180
- (c) 360
- (d) 144
3. The LCM of the smallest prime number and the smallest composite number is:
- (a) 4
- (b) 2
- (c) 6
- (d) 8
4. If a = 2³ × 3 and b = 2 × 3 × 5, then HCF(a, b) is:
- (a) 30
- (b) 2
- (c) 12
- (d) 6
5. Define HCF and LCM in one line each.
6. Find the HCF of 6 and 20 by prime factorisation.
7. Find the LCM and HCF of 6, 72 and 120 using prime factorisation.

View answers

1. (a) primes, uniquely — Every composite number is a unique product of primes.
2. (d) 144 — HCF × LCM = product, so the other = (18 × 720) ÷ 90 = 144.
3. (a) 4 — Smallest prime = 2, smallest composite = 4, LCM(2, 4) = 4.
4. (d) 6 — Common primes with smallest powers: 2¹ × 3¹ = 6.
5. HCF is the largest number dividing all given numbers exactly; LCM is the smallest number that is a multiple of all of them.
6. 6 = 2 × 3, 20 = 2² × 5; common prime is 2 with smallest power 2¹, so HCF = 2.
7. 6 = 2 × 3, 72 = 2³ × 3², 120 = 2³ × 3 × 5. HCF = 2 × 3 = 6 (smallest powers of common primes). LCM = 2³ × 3² × 5 = 360 (greatest powers of all primes).

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How it works

Every question is drawn from StudyMatic’s own Maths bank for Real Numbers — nothing is auto-generated or invented. Pick how many of each type you want, add your own questions if you like, choose 1–4 paper sets for anti-cheating, and print the worksheet and answer key separately or save them as PDF.

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FAQ

Is this Class 10 Maths worksheet on Real Numbers free?: Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Real Numbers worksheet come with answers?: Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?: Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?: This worksheet is aligned to CBSE Class 10 Maths, chapter “Real Numbers”.