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Word problems – practice for Years 7–9

Sample questions on Word problems with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 7–9
Curriculum area
Problem solving and non-routine tasks

Question types: Word problem

Rule: Word problems

Distance = speed × time: s = v × t. So v = s ÷ t and t = s ÷ v.

The units must match: with km/h, count in hours. 30 min = 0.5 h, 20 min = 1/3 h.

Example: 24 km/h for 20 minutes: s = 24 × 1/3 = 8 km

Watch out: Don’t multiply km/h by minutes: 24 × 20 = 480 km is nonsense.

Sample questions

  1. Question 1 Easy

    A cyclist rode at a steady speed of 24 km/h. How many kilometres did she ride in 40 minutes?

    Show the solution
    Answer: 16 km

    How it works: 40 min = 0.667 h; s = v × t = 24 × 0.667 = 16 km

  2. Question 2 Normal

    A cyclist rode at a steady speed of 15 km/h. How many kilometres did she ride in 40 minutes?

    Show the solution
    Answer: 10 km

    How it works: 40 min = 0.667 h; s = v × t = 15 × 0.667 = 10 km

  3. Question 3 Hard

    A cyclist rode at a steady speed of 18 km/h. How many kilometres did she ride in 40 minutes?

    Show the solution
    Answer: 12 km

    How it works: 40 min = 0.667 h; s = v × t = 18 × 0.667 = 12 km

Related topics

All Maths topics

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