Edexcel IGCSE Maths (4MA1) · Unit 3: Equations & Sequences
Direct and Inverse Proportion questions with full solutions for Pearson Edexcel International GCSE Mathematics A (4MA1), Higher tier. Read the 2 worked examples first, then try the 3 exam-style questions yourself and check your working against the mark scheme.
\(y\) is directly proportional to \(x^2\). When \(x=5\), \(y=50\). Find \(y\) when \(x=8\).
Answer: 128
\(y\) is inversely proportional to \(x\). When \(x=4\), \(y=6\). Find \(y\) when \(x=3\).
Answer: 8
Try each question before you open the answer. The mark schemes use Edexcel-style marks: M for method, A for accuracy (after the method mark), B for an independent result.
\(y\) is inversely proportional to \(x\). When \(x = 4\), \(y = 6\). Find the value of \(y\) when \(x = 3\).
Answer: 8
\(y\) is inversely proportional to \(x^2\). When \(x = 4\), \(y = 5\). (a) Find a formula for \(y\) in terms of \(x\). (3) (b) Find the value of \(y\) when \(x = 10\). (1)
Answer: (a) \(y=\dfrac{80}{x^2}\) (b) 0.8
\(p\) is inversely proportional to \(\sqrt{q}\). When \(q = 9\), \(p = 12\). Find the value of \(p\) when \(q = 16\).
Answer: 9
Every question and worked example here is original, written for IGCSE Math Revision rather than copied from Pearson papers, and each answer was re-solved independently before publishing.
Either Higher tier paper, 1H or 2H, can test direct and inverse proportion: both cover the whole Pearson Edexcel International GCSE Mathematics A (4MA1) specification and both allow a calculator. Show your method, because most marks are for working.
In the IGCSE student hub: Unit 3 (Equations & Sequences) has more exam-style questions on this topic, each with a mark scheme. Practice starts with a 7-day free trial; the worked examples and questions on this page are free.
IGCSE Math Revision