Higher November 2022 Paper 6 Q10
10 The highest common factor (HCF) of two numbers is 14.
The lowest common multiple (LCM) of the same two numbers is 210.
The two numbers are not 14 and 210.
Find the two numbers. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 42 and 70 | 3 | M2 for M1 for  Alternative method: M1 for at least four correct multiples of 14 apart from 14 M1 for at least four correct factor pairs of 210 apart from 1 & 210 | For M2 or M1 allow 14 for 2 and 7 in the overlap As lists, products or factor trees etc Ignore errors when counting four correct 28, 42, 56, 70, 84, 98, … 2 & 105, 3 & 70, 4 & 55, 5 & 42, 6 & 35, 7 & 30, 10 & 21, 14 & 15 |