Simplify the ratio 12 : 18.
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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 Ratio and proportion Topical Past Papers.
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These Ratio and proportion Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Number (E1.11) 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.
Use ratio and proportion: simplify ratios, divide quantities in a given ratio, and use proportional reasoning in context (recipes, map scales, best-value problems).
Simplify the ratio 12 : 18.
Divide $80 in the ratio 3 : 5. State the two amounts.
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[2 marks]A 500 g jar of jam costs $3.20. A 800 g jar of the same jam costs $4.80. Which jar is better value (lower cost per gram)?
Anna, Ben and Carla share $660 in the ratio 5 : 3 : 4.
Find the amount that Anna receives.
[2 marks]Carla now gives half of her share to Ben. Find the new amount that Ben has.
[1 mark]y is directly proportional to x. When x = 8, y = 20. Find the value of y when x = 14.
[2 marks]The ratio of red counters to blue counters in a bag is 3 : 7. Five more red counters are added to the bag, and the new ratio of red to blue is 1 : 2. How many blue counters are in the bag?
[2 marks]