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Whole numbersShort answer · 2 marks

Four cards each show a different 2-digit number. The average of the four numbers is 85. What is the smallest possible number on the cards?

Need a hint?

Make three of the numbers as large as you can, then find what the fourth number must be.

Worked answer

  1. Total of the four numbers = 85 × 4 = 340.
  2. To make the smallest number as small as possible, the other three must be as large as possible: 99, 98 and 97, which sum to 294.
  3. Smallest number = 340 − 294 = 46.
Answer: 46

The mistake this question tests

Habit

Average and total

Pupils often forget the four numbers must be different and use 99, 99 and 99, getting 340 − 297 = 43.

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