4MA0 Foundation January 2017 Paper 1 Q15
15
(a) Write down the cube root of 64 (1)
(b) Calculate the value of \(2^3 \times 4^5\) (2)
(c) Express 600 as a product of powers of its prime factors.
Show your working clearly. (3)
Show your working clearly. (3)
| Scheme | Marks |
|---|---|
| 4 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 8 × 1024 | M1 |
| 8192 | A1 |
| (2) |
Notes
M1: For 8 (from \(2^3\)) or 1024 or
2 × 2 × 2 × 4 × 4 × 4 × 4 × 4
A1: accept \(2^{13}\)
| Scheme | Marks |
|---|---|
| 600 = 2 × 300 = 2 × 2 × 150 = 2 × 2 × 2 × 75 = 2 × 2 × 2 × 3 × 25 = 2 × 2 × 2 × 3 × 5 × 5 | M1 |
| A1 | |
| \(2^3 \times 3 \times 5^2\) | A1 |
| (3) | |
| (6 marks) |
Notes
M1: For at least 2 correct steps in repeated factorisation (may be seen in a tree diagram)
A1: for correct factors
E.g.2, 2, 2, 3, 5, 5 (condone inclusion of 1)
A1: NB: Candidates showing no working score 0 marks.