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Maths olympiad question · P3–P4★ Easy

Sum and multiple: olympiad question 1

An easy question on sum and multiple for P3–P4, with a step-by-step solution, diagrams and the answer. Sum-and-multiple and difference-and-multiple questions appear in the Hua Xia Cup's P3 to P5 first rounds, qualifying rounds and finals.

The question

A basket holds apples and oranges, 12 in all.

There are twice as many apples as oranges.

How many oranges are there?

Show the hints (2)
  1. Hint 1: Call the oranges 1 part. How many parts are the apples?
  2. Hint 2: How many parts are there altogether?

Worked solution

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

  1. 1.The oranges are 1 part and the apples 2 parts: 3 parts, 12 in all.
  2. 2.1 part = 12 ÷ 3 = 4, so there are 4 oranges.
  3. ⚠️Common mistake: working out 12 ÷ 2 and forgetting that the oranges are a part too.

Answer: 4 oranges

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