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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 medicine label says the dose is 5 ml per 10 kg of body weight. What dose should a 70 kg adult receive?

    Answer: 35 ml

    Dose = (5 ml / 10 kg) × 70 kg = 35 ml.

  2. A train departs at 06:30 and arrives at 09:00, covering 195 km. What is the average speed?

    Answer: 78 km/h

    Travel time = 2.5 hours; speed = 195 ÷ 2.5 = 78 km/h.

  3. A solution is made by dissolving 30 g of salt in 270 g of water. What is the ratio of salt to the total solution by mass?

    Answer: 1:10

    Total solution = 30 + 270 = 300 g; ratio = 30:300 = 1:10.

  4. A car's fuel economy is 12 km per litre. If petrol costs R23 per litre, what is the fuel cost per kilometre?

    Answer: R1.92 per km

    Cost per km = 23 ÷ 12 ≈ R1.92 per km.

  5. A 3-metre length of wire is cut into pieces in the ratio 1:1:3. What is the length of the longest piece?

    Answer: 1.8 m

    Total parts = 1+1+3 = 5; longest = (3/5) × 3 m = 1.8 m.

  6. In a survey, the ratio of people who prefer tea to those who prefer coffee is 5:3. If 120 people prefer coffee, how many people were surveyed in total?

    Answer: 320

    3 parts = 120, so 1 part = 40; total = 8 parts = 8 × 40 = 320.

  7. A car decelerates from 120 km/h to 60 km/h in 30 seconds. What is the rate of deceleration in km/h per second?

    Answer: 2 km/h per second

    Change in speed = 120 − 60 = 60 km/h over 30 s; rate = 60 ÷ 30 = 2 km/h per second.