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NBT Quantitative Literacy: Ratios, Proportions and Rates Flashcards

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

Read the first 7 NBT Quantitative Literacy: Ratios, Proportions and Rates flashcards as text

  1. A fruit punch recipe uses orange juice, mango juice, and water in the ratio 3:2:5. If you want to make 4 litres of punch, how much orange juice do you need?

    Answer: 1.2 litres

    Orange juice is 3 parts out of 3+2+5=10 total, so 3/10 × 4 = 1.2 litres.

  2. A car travels 270 km in 3 hours. At the same speed, how far will it travel in 5 hours?

    Answer: 450 km

    Speed = 270 ÷ 3 = 90 km/h; distance in 5 hours = 90 × 5 = 450 km.

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

    Answer: 3 km

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

  4. Petrol costs R22.50 per litre. How much does it cost to fill a 45-litre tank?

    Answer: R1 012.50

    Cost = 22.50 × 45 = R1 012.50.

  5. A worker earns R180 per hour. If the hourly rate increases in the same proportion as 5:6, what will the new hourly rate be?

    Answer: R216

    New rate = 180 × (6/5) = 180 × 1.2 = R216.

  6. It takes 4 workers 6 days to complete a task. How many days would it take 8 workers to complete the same task, assuming they work at the same rate?

    Answer: 3 days

    This is inverse proportion: 4 × 6 = 8 × d, so d = 24 ÷ 8 = 3 days.

  7. A recipe for 6 portions requires 450 g of flour. How many grams of flour are needed for 10 portions?

    Answer: 750 g

    Flour per portion = 450 ÷ 6 = 75 g; for 10 portions = 75 × 10 = 750 g.