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Whole numbersShort answer · 2 marks

Aisyah, Benjamin and Chloe each have a different 3-digit number of stickers. Altogether, they have 837 stickers. What is the greatest possible number of stickers that the child with the fewest stickers could have?

Need a hint?

Place the total as three different numbers that are as close as possible, then check that a larger smallest number is impossible.

Worked answer

  1. To make the smallest number as large as possible, make the three different numbers as close as possible.
  2. 837 ÷ 3 = 279, and 278 + 279 + 280 = 837.
  3. If the smallest were 279, the least possible total would be 279 + 280 + 281 = 840.
  4. Therefore, the greatest possible smallest number is 278.
Answer: 278 stickers

The mistake this question tests

Habit

Average and total

A pupil may divide 837 by 3 and answer 279, forgetting that the three numbers must be different. The closest valid set is 278, 279 and 280.

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