4024/22 Oct/Nov 2025, Question 20: Inverse Proportion: y = k/x
Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Given y inversely proportional to (x − 3)², with y = 4 when x = 7, find y when x = −2.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1y = k/(x − 3)²
- 24 = k/(7 − 3)², so k = 4 × 16 = 64
- 3x = −2: y = 64/(−2 − 3)² = 64/25
- 4y = 2.56
Answer2.56
Stuck on a step? Read the free lesson: Inverse Proportion: y = k/x
Practise more inverse proportion: y = k/x questions
Real 4024 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on inverse proportion: y = k/x
Also searched as: 4024/22/O/N/25 · 4024_w25_qp_22 · 4024 w25 22 · question 20.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.