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Maths olympiad question · P2–P3★ Easy

Page numbers: olympiad question 2

An easy question on page numbers for P2–P3, with a step-by-step solution, diagrams and the answer. Common in the Hua Xia Cup's P2 to P5 papers: how many digits in all, how often a digit appears, and pages torn out.

The question

Ming is reading a storybook.

Today he read from page 21 to page 29, both included.

How many pages did he read today?

Show the hints (2)
  1. Hint 1: Try a small case: from page three to page five, which pages is that?
  2. Hint 2: Which page does 29 − 21 leave out?

Worked solution

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

  1. 1.29 − 21 = 8 counts the pages after page 21, not page 21 itself.
  2. 2.Add page 21: 8 + 1 = 9.
  3. ⚠️Common mistake: answering 8.

Answer: 9 pages

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