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.

Questões originais escritas por professores da Studoli no estilo da prova GCSE. Não são provas oficiais.

Timed mode

10 questions in 15 minutes, one question at a time. Your answers are marked when you submit or when the time runs out.

Tema: Sharing in a ratio
1. Share £60 in the ratio 2 : 3.
Solução
D. £24 and £36
- 2 + 3 = 5 parts, so one part is £60 ÷ 5 = £12.
- 2 parts = £24 and 3 parts = £36.
Tema: Simplifying ratios
2. Write 18 : 24 in its simplest form.
Solução
C. 3 : 4
- The highest common factor of 18 and 24 is 6.
- 18 ÷ 6 = 3 and 24 ÷ 6 = 4, so 3 : 4.
Tema: Direct proportion
3. 3 pens cost £2.40. How much do 5 pens cost?
Solução
B. £4.00
- One pen costs £2.40 ÷ 3 = £0.80.
- 5 pens cost 5 × £0.80 = £4.00.
Tema: Percentages
4. Increase £80 by 15%.
Solução
A. £92
- 15% of £80 = 0.15 × 80 = £12.
- £80 + £12 = £92. Or use the multiplier: 80 × 1.15 = 92.
Tema: Fractions to percentages
5. Write 3/5 as a percentage.
Solução
D. 60%
- 3/5 = 3 ÷ 5 = 0.6.
- 0.6 × 100 = 60%.
Tema: Speed
6. A car travels 150 km in 2.5 hours. What is its average speed?
Solução
C. 60 km/h
- Speed = distance ÷ time.
- 150 ÷ 2.5 = 60 km/h.
Tema: Units
7. Convert 0.4 kg to grams.
Solução
B. 400 g
- 1 kg = 1000 g.
- 0.4 × 1000 = 400 g.
Tema: Recipes
8. A recipe for 4 people uses 300 g of flour. How much flour is needed for 6 people?
Solução
A. 450 g
- For 1 person: 300 ÷ 4 = 75 g.
- For 6 people: 6 × 75 = 450 g.
Tema: Reverse percentages
9. A coat costs £45 after a 25% discount. What was the original price?
Solução
D. £60
- After a 25% discount the price is 75% of the original.
- 75% = £45, so 1% = £0.60 and 100% = £60.
Tema: Best buy
10. Which is better value: 500 ml for £1.20 or 750 ml for £1.65?
Solução
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.

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GCSE Maths Foundation: Ratio and proportion practice questions

1. Share £60 in the ratio 2 : 3.

2. Write 18 : 24 in its simplest form.

3. 3 pens cost £2.40. How much do 5 pens cost?

4. Increase £80 by 15%.

5. Write 3/5 as a percentage.

6. A car travels 150 km in 2.5 hours. What is its average speed?

7. Convert 0.4 kg to grams.

8. A recipe for 4 people uses 300 g of flour. How much flour is needed for 6 people?

9. A coat costs £45 after a 25% discount. What was the original price?

10. Which is better value: 500 ml for £1.20 or 750 ml for £1.65?

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