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Maths olympiad question · P4–P5★ Easy

Averages: olympiad question 2

An easy question on averages for P4–P5, with a step-by-step solution, diagrams and the answer. Averages appear in the Hua Xia Cup's P4 and P5 first rounds, qualifying rounds and finals.

The question

4 classmates fold paper cranes together, 8 cranes each on average.

How many cranes do they fold altogether?

Show the hints (2)
  1. Hint 1: "8 each on average" means: if everyone had folded the same number, each would have 8.
  2. Hint 2: 4 people with 8 each — how many in all?

Worked solution

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

  1. 1."8 each on average": as if all 4 folded the same, 8 each.
  2. 2.Total = average × number of people = 8 × 4 = 32.
  3. ⚠️Common mistake: working out 8 ÷ 4. The total is the average times the number of people.

Answer: 32 cranes

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