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Maths olympiad question · P1–P2★ Easy

Clever sums: olympiad question 1

An easy question on clever sums for P1–P2, with a step-by-step solution, diagrams and the answer. The first few questions of a competition paper are often clever sums, and the Hua Xia Cup has them in every year from P1 to P6.

The question

Work this out the clever way.

13 + 12 + 37 + 38 = ?

What is the answer?

Show the hints (2)
  1. Hint 1: Look for two numbers that add up to exactly 50.
  2. Hint 2: You can add in any order. Add each pair that makes 50 first.

Worked solution

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

  1. 1.12 + 38 = 50, 37 + 13 = 50.
  2. 2.2 pairs of 50: 50 × 2 = 100.

Answer: 100

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