4MA0 Higher June 2013 Paper 3 Q11
11
(a) Find the Highest Common Factor (HCF) of 54 and 90 (2)
(b) Find the Lowest Common Multiple (LCM) of 54 and 90 (2)
| Scheme | Marks |
|---|---|
| \(54 = 2 \times 3^3\) and \(90 = 2 \times 3^2 \times 5\) or 1,2,3,6,9,18,27,54 and 1,2,3,5,6,9,10,15,18,30,45,90 or \(2 \times 3^2\) oe | M1 |
| 18 | A1 |
| (2) |
Notes
M1: Need not be products of powers; accept products or lists
eg 2,3,3,3 and 2,3,3,5
accept 9, 2, 3 and 9, 2, 5
(may be seen in a Venn diagram or may be shown as factor trees or repeated division)
A1: cao
| Scheme | Marks |
|---|---|
| \(2 \times 3^3 \times 5\) oe eg 6 × 9 × 5 or 54,108,162,216,270 and 90,180,270 | M1 |
| 270 | A1 |
| (2) |
Notes
M1: Need not be products of powers; accept products or lists
eg 2, 3, 3, 3, 5
A1: cao