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GCSE Maths Foundation: Ratio and proportion practice questions
Ten free GCSE Maths Foundation tier questions on sharing in a ratio, simplifying ratios, percentages, speed, recipes and best buys, each with a worked solution. Suitable for AQA, Edexcel and OCR.
Questions originales rédigées par les professeurs Studoli dans l’esprit de l’examen GCSE. Ce ne sont pas des sujets officiels.
Mode chronométré
10 questions en 15 minutes, une question à la fois. Vos réponses sont corrigées à la fin ou quand le temps est écoulé.
Notion: Sharing in a ratio
1. Share £60 in the ratio 2 : 3.
Correction
D. £24 and £36
- 2 + 3 = 5 parts, so one part is £60 ÷ 5 = £12.
- 2 parts = £24 and 3 parts = £36.
Notion: Simplifying ratios
2. Write 18 : 24 in its simplest form.
Correction
C. 3 : 4
- The highest common factor of 18 and 24 is 6.
- 18 ÷ 6 = 3 and 24 ÷ 6 = 4, so 3 : 4.
Notion: Direct proportion
3. 3 pens cost £2.40. How much do 5 pens cost?
Correction
B. £4.00
- One pen costs £2.40 ÷ 3 = £0.80.
- 5 pens cost 5 × £0.80 = £4.00.
Notion: Percentages
4. Increase £80 by 15%.
Correction
A. £92
- 15% of £80 = 0.15 × 80 = £12.
- £80 + £12 = £92. Or use the multiplier: 80 × 1.15 = 92.
Notion: Fractions to percentages
5. Write 3/5 as a percentage.
Correction
D. 60%
- 3/5 = 3 ÷ 5 = 0.6.
- 0.6 × 100 = 60%.
Notion: Speed
6. A car travels 150 km in 2.5 hours. What is its average speed?
Correction
C. 60 km/h
- Speed = distance ÷ time.
- 150 ÷ 2.5 = 60 km/h.
Notion: Units
7. Convert 0.4 kg to grams.
Correction
B. 400 g
- 1 kg = 1000 g.
- 0.4 × 1000 = 400 g.
Notion: Recipes
8. A recipe for 4 people uses 300 g of flour. How much flour is needed for 6 people?
Correction
A. 450 g
- For 1 person: 300 ÷ 4 = 75 g.
- For 6 people: 6 × 75 = 450 g.
Notion: Reverse percentages
9. A coat costs £45 after a 25% discount. What was the original price?
Correction
D. £60
- After a 25% discount the price is 75% of the original.
- 75% = £45, so 1% = £0.60 and 100% = £60.
Notion: Best buy
10. Which is better value: 500 ml for £1.20 or 750 ml for £1.65?
Correction
C. The 750 ml bottle
- 500 ml: 120p ÷ 500 = 0.24p per ml.
- 750 ml: 165p ÷ 750 = 0.22p per ml.
- The 750 ml bottle costs less per ml, so it is better value.