Foundation January 2020 Paper 2R Q12
12
(a) Simplify \(\;k + k + k + k\) (1)
\(f = 9 \times 9 \times 9 \times 9\)
(b)
(i) Write \(f\) as a single power of 9
(ii) Write \(f\) as a single power of 3
(2)(c) Write \(\;5^{17} \times 5^2\;\) as a single power of 5 (1)
(d) Write 800 as a product of its prime factors.
Show your working clearly. (2)
Show your working clearly. (2)
| Scheme | Marks |
|---|---|
| \(4k\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(9^4\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(3^8\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(5^{19}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| M1 | |
| Working required Answer: 2 × 2 × 2 × 2 × 2 × 5 × 5 | A1 |
| (2) | |
| (6 marks) |
Notes
M1: A factor tree / division ladder of 3 or more factors (≠ 1), multiplying to 800, which must include 2 and 5. Condone 1 error when product ≠ 800
A1: Dep on M1 oe eg \(2^5 \times 5^2\)