Lemmara logoLemmaraWorked solution

4024/12 May/Jun 2024, Question 6: Number Review: Mixed Practice

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 2 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Complete a missing digit card so the two-digit number ending in 3 is not prime, and give an example disproving a claim about sums of multiples of 3.

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

Part (a) · 1 mark

Fill the blank card so the resulting two-digit number ending in 3 is not a prime number.

  1. 133 = 3 × 11, so 33 is not prime (63 or 93 also work)

Answer33 or 63 or 93

Part (b) · 1 mark

Provide an example showing that adding two multiples of 3 does not always give a multiple of 6.

  1. 16 and 9 are both multiples of 3
  2. 26 + 9 = 15
  3. 315 is not a multiple of 6, so Mei is wrong

AnswerCorrect example showing sum and result e.g. 6 + 9 = 15

Stuck on a step? Read the free lesson: Number Review: Mixed Practice

Practise more number review: mixed practice questions

Real 4024 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 number review: mixed practice

Also searched as: 4024/12/M/J/24 · 4024_s24_qp_12 · 4024 s24 12 · question 6.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.