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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 mixture of concrete uses gravel, sand, and cement in the ratio 4:2:1. If 28 kg of cement is used, what is the total mass of the mixture?

    Answer: 196 kg

    1 part = 28 kg; total = 7 parts = 7 × 28 = 196 kg.

  2. At a speed of 80 km/h, how long (in hours and minutes) does it take to travel 260 km?

    Answer: 3 hours 15 minutes

    Time = 260 ÷ 80 = 3.25 hours = 3 hours 15 minutes.

  3. The scale on a map is 1:500 000. A road is shown as 4.6 cm on the map. What is the actual length of the road in kilometres?

    Answer: 23 km

    4.6 cm × 500 000 = 2 300 000 cm = 23 000 m = 23 km.

  4. A R15 000 bursary is shared between two students in the ratio 2:3. How much more does the second student receive than the first?

    Answer: R3 000

    1 part = 15 000 ÷ 5 = R3 000; first = R6 000, second = R9 000; difference = R3 000.

  5. A factory uses 5 machines to produce 600 units per day. If 2 machines break down, how many units can be produced per day?

    Answer: 360 units

    Rate per machine = 600 ÷ 5 = 120 units; 3 machines produce 3 × 120 = 360 units.

  6. A store marks up goods by 40% above cost price and then offers a 20% discount in a sale. If the cost price is R500, what is the final sale price?

    Answer: R560

    Marked price = 500 × 1.40 = R700; sale price = 700 × 0.80 = R560.

  7. Two taps fill a tank. Tap A fills it in 6 hours and Tap B fills it in 12 hours. Working together, how many hours will they take to fill the tank?

    Answer: 4 hours

    Combined rate = 1/6 + 1/12 = 2/12 + 1/12 = 3/12 = 1/4; time = 4 hours.