Lemmara logoLemmaraWorked solution

4024/11 Oct/Nov 2020, Question 5: Proportion to Powers of x

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 2 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Given y is directly proportional to x cubed, and y = 4 when x = 2, find y when x = 3.

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

Solution · 2 marks

  1. 1y = kx³: 4 = k × 2³, so k = 4/8 = 1/2
  2. 2y = 1/2 × 3³ = 27/2
  3. 3= 13 1/2

Answer13 1/2

Stuck on a step? Read the free lesson: Proportion to Powers of x

Practise more proportion to powers of x 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 proportion to powers of x

Also searched as: 4024/11/O/N/20 · 4024_w20_qp_11 · 4024 w20 11 · question 5.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.