4MA0 Higher June 2015 Paper 4 Q11
11 \(x\) is an integer.
The Lowest Common Multiple (LCM) of \(x\) and 12 is 120
The Highest Common Factor (HCF) of \(x\) and 12 is 4
Work out the value of \(x\).
(2)
| Scheme | Marks |
|---|---|
| (12 =) 2 × 2 × 3 or (120 =) 2 × 2 × 2 × 3 × 5 (condone 2,2,3 or 2,2,2,3,5) [factors could be seen at the end of a ‘factor tree’ or in a ‘factor ladder’] or Venn diagram with the middle and one other region correct:  | M1 |
| 40 | A1 |
| (2) |
Notes
M1: or for a list of at least 5 consecutive multiples of 4 or a list of at least 5 factors of 120 or for \(12x = 120 \times 4\) oe (eg \(\frac{120}{12} \times 4\) (= \(x\)))
or 12 ÷ 4 (= 3) and 120 ÷ “3”
A1: accept 2 × 2 × 2 × 5 or \(2^3 \times 5\)