Foundation June 2018 Paper 3 Q15
15 Four positive whole numbers add up to 36
One of the numbers is a multiple of 7
The other three numbers are equal.
Work out the result when the four numbers are multiplied. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| A correct trial using one from a multiple of 7 subtracted from 36 a multiple of 7 plus three equal whole numbers three equal whole numbers subtracted from 36 or Lists four whole numbers, of which three are equal, that sum to 36 or Lists four whole numbers that sum to 36 with at least one multiple of 7 | M1 | eg \(36 - 7 = 29\) eg \(21 + 4 + 4 + 4 = 33\) eg \(8 + 8 + 8 = 24\) and \(36 - 24 = 12\) eg 6, 6, 6, 18 eg 14, 10, 8, 4 |
| 21, 5, 5, 5 | A1 | |
| 2625 | A1ft | ft correct multiplication of their four positive whole numbers with M1 awarded |
Additional guidance
| A correct trial or list must only use positive whole numbers | |
| \(21 + 4 + 4 + 4 = 33\) followed by \((21 \times 4 \times 4 \times 4 =)\) 1344 | M1A0A1ft |
| 28, 2, 3, 3 (list sums to 36) followed by \((28 \times 2 \times 3 \times 3 =)\) 504 | M1A0A1ft |
| 14, 10, 8, 4 followed by \((14 \times 10 \times 8 \times 4 =)\) 4480 | M1A0A1ft |
| \(8 + 8 + 8 = 24\) and \(36 - 24 = 12\) followed by \((8 \times 8 \times 8 \times 12 =)\) 6144 | M1A0A1ft |
| \(6 \times 6 \times 6 \times 18 = 3888\) | M1A0A1ft |
| 13, 10, 8, 5 followed by \((13 \times 10 \times 8 \times 5 =)\) 5200 | M0A0A0ft |
| 0, 12, 12, 12 | M0 |