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Maths olympiad question · P3–P4★ Easy

Work problems: olympiad question 1

An easy question on work problems for P3–P4, with a step-by-step solution, diagrams and the answer. Common in the Hua Xia Cup's P3 to P6 papers; harder ones have someone leaving partway, people taking turns, or cows grazing a field that keeps growing.

The question

Before the school open day, 2 pupils fold paper cranes together:

8 an hour between them.

Every pupil folds the same number an hour.

If 3 pupils folded together, how many cranes would they fold an hour?

Show the hints (2)
  1. Hint 1: How many does one pupil make in an hour?
  2. Hint 2: 8 is what 2 make together; share it equally among 2.

Worked solution

Have a go first, then read the solution step by step.

  1. 1.2 make 8 an hour between them, so one pupil makes 8 ÷ 2 = 4 an hour.
  2. 2.3 make 4 each: 4 × 3 = 12 an hour.
  3. ⚠️Common mistake: adding or taking away the difference in people from 8. First find what one pupil makes, then multiply.

Answer: 12 cranes

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