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4024/21 Oct/Nov 2025, Question 1: Square Numbers

Cambridge O Level Mathematics 4024 · Paper 21 (Calculator) · Calculator · 4 marks

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The question, in short

From the list 52, √169, 27, √8, 12/23, 49, select the number matching each of four descriptions.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Identify which value in the list is a square number.

  1. 149 = 7², so 49 is a square number

Answer49

Part (b) · 1 mark

Identify which value in the list is a cube number.

  1. 127 = 3³, so 27 is a cube number

Answer27

Part (c) · 1 mark

Identify which value in the list is a factor of 26.

  1. 1√169 = 13 and 26 = 2 × 13, so √169 is a factor of 26

Answer√169

Part (d) · 1 mark

Identify which value in the list is irrational.

  1. 1√8 = 2√2 cannot be written as a fraction, so √8 is irrational

Answer√8

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Also searched as: 4024/21/O/N/25 · 4024_w25_qp_21 · 4024 w25 21 · question 1.
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