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St Nicholas 2025 P6 Maths Prelim — Paper 2 Q5 Solution
Question
Melvin is given a card with 9 numbers (81, 88, 34, 36, 53, 70, 89, 75, 86). The number 89 is circled. He has to circle 2 more numbers so that the average of the 3 circled numbers is the same as the average of the 9 numbers on the card. Which 2 numbers does Melvin have to circle?
Answer: 81 and 34
Worked solution
- Sum of all 9 numbers $= 81+88+34+36+53+70+89+75+86 = 612$. Average $= 612 \div 9 = 68$. The 3 circled numbers must total $68 \times 3 = 204$. Since 89 is circled, the other two must total $204 - 89 = 115$. The pair is 81 and 34.
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