Higher November 2022 Paper 1 Q8
8 Two numbers \(m\) and \(n\) are such that
\(m\) is a multiple of 5
\(n\) is an even number
the highest common factor (HCF) of \(m\) and \(n\) is 7
Write down a possible value for \(m\) and a possible value for \(n\). (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| Pair of values | P1 | for at least 5 multiples of 5 (with no more than 1 incorrect) or for at least 5 multiples of 7 (with no more than 1 incorrect) or for \(m\) = a multiple of 35 and \(n\) = a multiple of 14 or for \(m = 35\) or \(n = 14\) |
| A1 | for a correct pair of values, eg \(m = 35\) and \(n = 14\) or \(m = 35\) and \(n = 28\) or \(m = 105\) and \(n = 14\) |
Additional guidance
\(m = 35\), \(n = 14, 28, 42, 56, 84, \ldots\)
\(m = 105\), \(n = 14, 28, 56, 98, \ldots\)