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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 school's learner-to-teacher ratio is 35:1. If there are 7 teachers, how many learners are there?

    Answer: 245

    Learners = 35 × 7 = 245.

  2. A runner completes a 10 km race in 50 minutes. What is her average speed in km/h?

    Answer: 12 km/h

    Speed = 10 ÷ (50/60) = 10 × (60/50) = 12 km/h.

  3. A model car is built at a scale of 1:24. The real car is 4.2 m long. How long is the model car in cm?

    Answer: 17.5 cm

    4.2 m = 420 cm; model length = 420 ÷ 24 = 17.5 cm.

  4. A grocery store sells 1.5 litres of juice for R18 and 2 litres for R22. Which is the better value?

    Answer: 2-litre bottle

    1.5 L: R18/1.5 = R12/L; 2 L: R22/2 = R11/L — the 2-litre bottle is cheaper per litre.

  5. If y is inversely proportional to x and y = 8 when x = 3, what is y when x = 12?

    Answer: 2

    Constant k = 8 × 3 = 24; y = 24 ÷ 12 = 2.

  6. A fertiliser bag states 'apply at 30 g per m²'. How many kilograms are needed for a 500 m² garden?

    Answer: 15 kg

    Total = 30 × 500 = 15 000 g = 15 kg.

  7. Three friends invest R5 000, R3 000, and R2 000 in a business. At the end of the year the profit is R12 000. How much does the friend who invested R3 000 receive?

    Answer: R3 600

    Ratio = 5:3:2; total parts = 10; middle friend's share = (3/10) × 12 000 = R3 600.