Lemmara logoLemmaraWorked solution

4024/11 May/Jun 2021, Question 19: 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

y is proportional to (x − 1)². Given y = 18 when x = 4, find y when x = 6.

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

Solution · 2 marks

  1. 1y = k(x − 1)²
  2. 218 = k × 3², so k = 2
  3. 3y = 2 × (6 − 1)² = 2 × 25 = 50

Answer50

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/M/J/21 · 4024_s21_qp_11 · 4024 s21 11 · question 19.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.