y is directly proportional to x. Which formula represents this relationship?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Proportion Topical Past Papers.
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These Proportion Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Algebra and graphs (E2.8) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Express direct and inverse proportion in algebraic terms and use these to find unknown quantities, including linear, square, square root, cube and cube-root relationships.
y is directly proportional to x. Which formula represents this relationship?
y is inversely proportional to x. Write down a formula linking y and x, using k as the constant.
[1 mark]y is directly proportional to x. When x = 6, y = 18. Find the value of y when x = 10.
[2 marks]y is inversely proportional to x. When x = 4, y = 9. Find the value of y when x = 12.
[2 marks]y is proportional to x². If x is doubled, what happens to y?
y is proportional to the square root of x. When x = 25, y = 30.
Find a formula for y in terms of x.
[2 marks]Find the value of y when x = 4.
[1 mark]y is proportional to x³. When x = 2, y = 40. Find the value of y when x = 5.
[2 marks]y is inversely proportional to the square of x. When x = 3, y = 8. Find the positive value of x when y = 18.
[2 marks]