Lemmara logoLemmaraWorked solution

0580/12 May/Jun 2022, Question 2: Prime Numbers

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 5 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

From the given list of numbers 61 to 69, select numbers meeting four different criteria.

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

Part (a) · 1 mark

Identify a square number from the list.

  1. 164 = 8²

Answer64

Part (b) · 1 mark

Identify a multiple of 13 from the list.

  1. 165 = 5 × 13

Answer65

Part (c) · 1 mark

Identify a factor of 186 from the list.

  1. 1186 = 3 × 62, so 62 is a factor

Answer62

Part (d) · 2 marks

Identify all the prime numbers in the list.

  1. 162, 64, 66, 68 even; 63 = 7 × 9; 65 = 5 × 13; 69 = 3 × 23
  2. 2Prime numbers: 61, 67

Answer61, 67

Stuck on a step? Read the free lesson: Prime Numbers

Practise more prime numbers questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on prime numbers

Also searched as: 0580/12/M/J/22 · 0580_s22_qp_12 · 0580 s22 12 · question 2.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.