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Maths olympiad question · P4–P5★ Easy

Averages: olympiad question 1

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

May has three baskets holding 7, 8, 6 apples.

On average, how many apples are in each basket?

Show the hints (2)
  1. Hint 1: If the apples were shared out again so all three baskets held the same, how many would each hold?
  2. Hint 2: Add up all the apples first, then share the total equally into 3.

Worked solution

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

  1. 1.In all: 7 + 8 + 6 = 21 apples.
  2. 2.Share 21 equally into 3: 21 ÷ 3 = 7.
  3. 3.Check (even out): move the extra above 7 into the gaps, and every basket has 7 ✓

Answer: 7 apples

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