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0580/11 May/Jun 2026, Question 1: Integers

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 5 marks

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The question, in short

From the given list of numbers, select one number of each requested type: even, factor of 28, square, prime, and irrational.

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

Part (a) · 1 mark

Choose an even number from the list.

  1. 1An even number divides exactly by 2
  2. 26 ÷ 2 = 3, so 6 is even

Answer6 or 56 or 1000

Part (b) · 1 mark

Choose a number from the list that is a factor of 28.

  1. 128 = 4 × 7
  2. 27 is a factor of 28

Answer7

Part (c) · 1 mark

Choose a square number from the list.

  1. 125 = 5 × 5 = 5²
  2. 225 is a square number

Answer25

Part (d) · 1 mark

Choose a prime number from the list.

  1. 17 has only two factors, 1 and 7
  2. 27 is prime

Answer7

Part (e) · 1 mark

Choose an irrational number from the list.

  1. 118 is not a square number, so √18 cannot be written as a fraction
  2. 2√225 = 15 is rational, so the irrational number is √18

Answer√18

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Also searched as: 0580/11/M/J/26 · 0580_s26_qp_11 · 0580 s26 11 · question 1.
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