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Ratio and Proportion (Foundation Maths) Flashcards

6 cards from real GCSE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Ratio and Proportion (Foundation Maths) flashcards as text

  1. It takes 6 workers 8 days to build a wall. Working at the same rate, how long would it take 4 workers?

    Answer: 12 days

    This is inverse proportion. Total work = 6 × 8 = 48 worker-days. 48 ÷ 4 = 12 days.

  2. Increase 80 by 15%.

    Answer: 92

    15% of 80 is 12, so 80 + 12 = 92. Alternatively, 80 × 1.15 = 92.

  3. A jacket costs £45 in a sale after a 25% reduction. What was the original price?

    Answer: £60

    £45 is 75% of the original price, so original = 45 ÷ 0.75 = £60.

  4. A map has a scale of 1 : 50 000. Two towns are 6 cm apart on the map. What is the real distance between them?

    Answer: 3 km

    6 cm × 50 000 = 300 000 cm = 3000 m = 3 km.

  5. Which of the following is the best value for money?

    Answer: 2 kg of pasta for £3.70

    Cost per kg: A = £2.00, B ≈ £1.87, C = £1.90, D = £1.85. The 2 kg pack is cheapest per kg.

  6. A car travels 210 miles using 6 gallons of fuel. At the same rate, how far can it travel on 10 gallons?

    Answer: 350 miles

    210 ÷ 6 = 35 miles per gallon. 35 × 10 = 350 miles.