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Class 10 Real Numbers worksheet
CBSE Mathematics. Prime factorisation, HCF and LCM, irrational numbers. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
The prime factorisation of 40 is:
- 2³ × 5
- 2⁴ × 5
- 2³ × 3 × 5
- 2² × 5
Answer
(a) 2³ × 5
2³ × 5 = 40
- 2.
The HCF of 364 and 286 is:
- 4004
- 52
- 26
- 154
Answer
(c) 26
364 = 26 × 14, 286 = 26 × 11, and 14, 11 share no factor
- 3.
The LCM of 28 and 20 is:
- 140
- 560
- 4
- 48
Answer
(a) 140
LCM = 4 × 7 × 5 = 140
Section B · short answer
- 4.
Find the HCF and LCM of 288 and 396 by prime factorisation.
Answer
HCF = 36, LCM = 3,168
288 = 2⁵ × 3²; 396 = 2² × 3² × 11; HCF = product of the lowest powers, LCM = the highest
- 5.
Find the HCF and LCM of 16, 18, 30.
Answer
HCF = 2, LCM = 720
16 = 2⁴; 18 = 2 × 3²; 30 = 2 × 3 × 5
Section C · long answer
- 6.
Two bells ring together at 8:00 am. One rings every 36 minutes and the other every 30 minutes. When will they next ring together?
Answer
11:00 am
LCM(36, 30) = 180 minutes after 8:00 am
Fresh sheets for your child
In the app, every Real Numbers sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.