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SHS Core Mathematics · Year 2

Ratios, Rates and Proportions practice questions

Proportional reasoning involving ratios, rates and direct/inverse proportion, applied to real-life problems such as speed, density and scale.

35 questions in this topic: 6 recall, 13 applying skills and concepts, 13 strategic thinking and 3 extended thinking. Every one carries a written explanation.

Sample questions

5 of 35 questions in this topic. Sign up to answer them and see the explanations.

  1. Question 1Skills & concepts

    A bus travels from Accra to Kumasi, covering 250 km in 5 hours. Its rate is

    • a50 km/h
    • b1250 km/h
    • c255 km/h
    • d5 km/h
  2. Question 2Extended thinking

    A patient weighing 50 kg is prescribed amoxicillin at 10 mg/kg/day in 2 divided doses. The milligrams per dose is

    • a250 mg
    • b500 mg
    • c100 mg
    • d50 mg
  3. Question 3Strategic thinking

    A family uses 4 cups of groundnut paste for 8 servings of soup. Setting up the proportion 4/8 = x/20 and cross-multiplying, the paste needed for 20 servings is

    • a10 cups
    • b8 cups
    • c16 cups
    • d5 cups
  4. Question 4Skills & concepts

    On a distance-time graph, a horizontal (flat) line with zero gradient indicates that the object is

    • aat rest, since distance is not changing over time
    • bmoving at its fastest speed
    • caccelerating
    • dmoving backwards
  5. Question 5Skills & concepts

    A train covers a distance of 150 km in 2 hours. Its speed is

    • a75 km/h
    • b300 km/h
    • c152 km/h
    • d2 km/h

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