Lemmara logoLemmaraWorked solution

0580/12 May/Jun 2023, Question 4: Dividing in a Given Ratio

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Kai and Ava each have 57 cm wood. Find the length of one of Kai's 4 equal parts, and the longer part when Ava splits hers in ratio 5 : 1.

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

Part (a) · 1 mark

Kai divides 57 cm into 4 equal parts; find the length of one part.

  1. 157 ÷ 4 = 14.25 cm

Answer14.25

Part (b) · 2 marks

Ava divides 57 cm into two parts in ratio 5 : 1; find the longer length.

  1. 1Total parts = 5 + 1 = 6
  2. 2One part = 57 ÷ 6 = 9.5
  3. 3Longer part = 5 × 9.5 = 47.5 cm

Answer47.5

Stuck on a step? Read the free lesson: Dividing in a Given Ratio

Practise more dividing in a given ratio 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 dividing in a given ratio

Also searched as: 0580/12/M/J/23 · 0580_s23_qp_12 · 0580 s23 12 · question 4.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.