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GCSE الرياضيات10 أسئلة

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.

أسئلة أصلية كتبها مدرّسو Studoli بأسلوب امتحان GCSE. ليست أسئلة رسمية.

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.

  1. الموضوع: Sharing in a ratio

    1. Share £60 in the ratio 2 : 3.

    الحل

    D. £24 and £36

    • 2 + 3 = 5 parts, so one part is £60 ÷ 5 = £12.
    • 2 parts = £24 and 3 parts = £36.

  2. الموضوع: Simplifying ratios

    2. Write 18 : 24 in its simplest form.

    الحل

    C. 3 : 4

    • The highest common factor of 18 and 24 is 6.
    • 18 ÷ 6 = 3 and 24 ÷ 6 = 4, so 3 : 4.

  3. الموضوع: Direct proportion

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

    الحل

    B. £4.00

    • One pen costs £2.40 ÷ 3 = £0.80.
    • 5 pens cost 5 × £0.80 = £4.00.

  4. الموضوع: Percentages

    4. Increase £80 by 15%.

    الحل

    A. £92

    • 15% of £80 = 0.15 × 80 = £12.
    • £80 + £12 = £92. Or use the multiplier: 80 × 1.15 = 92.

  5. الموضوع: Fractions to percentages

    5. Write 3/5 as a percentage.

    الحل

    D. 60%

    • 3/5 = 3 ÷ 5 = 0.6.
    • 0.6 × 100 = 60%.

  6. الموضوع: Speed

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

    الحل

    C. 60 km/h

    • Speed = distance ÷ time.
    • 150 ÷ 2.5 = 60 km/h.

  7. الموضوع: Units

    7. Convert 0.4 kg to grams.

    الحل

    B. 400 g

    • 1 kg = 1000 g.
    • 0.4 × 1000 = 400 g.

  8. الموضوع: Recipes

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

    الحل

    A. 450 g

    • For 1 person: 300 ÷ 4 = 75 g.
    • For 6 people: 6 × 75 = 450 g.

  9. الموضوع: Reverse percentages

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

    الحل

    D. £60

    • After a 25% discount the price is 75% of the original.
    • 75% = £45, so 1% = £0.60 and 100% = £60.

  10. الموضوع: Best buy

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

    الحل

    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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