Foundation November 2022 Paper 2 Q10
10 Here are two sets of numbers.
| Set A | 2 | 12 | 13 | 27 |
|---|---|---|---|---|
| Set B | 1 | 15 | 16 | 30 |
One number from Set A is swapped with one number from Set B.
The total of the numbers in each set is now the same.
Which two numbers are swapped? [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(62 - 54\) or 8 or \(54 - 62\) or −8 or \(\dfrac{62 - 54}{2}\) or 4 or \(\dfrac{54 - 62}{2}\) or −4 or \(\dfrac{62 + 54}{2}\) or \(\dfrac{116}{2}\) or 58 or \(2 + 16 + 13 + 27 = 58\) or \(1 + 15 + 12 + 30 = 58\) | M1 | oe eg \(1 + 15 + 16 + 30 - 2 - 12 - 13 - 27\) or \(2 + 12 + 13 + 27 - 1 - 15 - 16 - 30\) or \(-1 + 3 + 3 + 3\) or \(1 - 3 - 3 - 3\) |
| 12 and 16 | A1 | either order |
Additional guidance
| Up to M1 may be awarded for correct work with no answer, or incorrect answer, even if this is seen amongst multiple attempts | |
| Answer 12 and 16 even if working unclear (eg many attempts) | M1A1 |
| 58 only seen from an incorrect addition | M0 |