Foundation June 2019 Paper 1 Q14
14
(a) Find the highest common factor (HCF) of 40 and 64 (2)
\(A = 2^n \times 3 \times 5^m\)
(b) Write \(8A\) as a product of powers of its prime factors. (2)
| Scheme | Marks |
|---|---|
| 1, 2, 4, 5, 8, 10, 20, 40 and 1, 2, 4, 8, 16, 32, 64 OR 2 × 2 × 2 × 5 and 2 × 2 × 2 × 2 × 2 × 2 | M1 |
| 8 | A1 |
| (2) |
Notes
M1: for start to list factors – must be at least 4 for each of 40 and 64 or prime factorisation of both numbers with at least 2 stages correct
eg 40 = 2 × 20 = 2 × 4 × 5 could be numbers on tree or in table
| Scheme | Marks |
|---|---|
| (8 = ) 2 × 2 × 2 or \(2^3\) or \(2^{3+n}\) | M1 |
| \(2^{n+3} \times 3 \times 5^m\) | A1 |
| (2) | |
| (4 marks) |
Notes
M1: For clearly writing 8 as a product of prime factors or as \(2^3\)