Foundation June 2018 Paper 1 Q8
8 Sam, Carl and Erik share 40 sweets.
Erik gets the largest share.
What is the smallest possible number of sweets that Erik could get? [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(40 \div 3\) or 13(.3\(\ldots\)) or 13 r(emainder)1 or \(39 \div 3\) or 13 | M1 | 3, 6, 9, \(\ldots\), 39 |
| 14 | A1 | |
| Alternative method 2 | ||
| Three integers, in any order, which add to 40 | M1 | eg \(10 + 10 + 20\) or 15, 17, 8 or 16 : 14 : 10 |
| 14 | A1 | |
Additional guidance
| Mark the values given, ignore any reference to names for M1 | |
| Use the scheme that awards the better mark | |
| \(40 \div 3 = 13.1\) answer 14 | M1A0 |
| 13, 13, 14 on answer line (any order) with no indication 14 is chosen | M1A0 |
| Answer 14 with trial 12, 12, 14 seen (comes from wrong working) | M0A0 |
| 12, 12, 16 \(12 + 12 + 16 = 40\) \(12 + 12 + 16 = 38\) (incorrect total) | M1 M1 M0 |
| Answer \(\dfrac{14}{40}\) | M1A0 |
| 14 : 40 | M1A0 |
| 14 out of 40 or 14 in 40 | M1A1 |