4MA0 Higher January 2015 Paper 3 Q3
3
(a) Factorise \(14x - 35\) (1)
(b) Expand and simplify \(3(2c - 5) - 2(c - 4)\) (2)
(c) Simplify \((4e^3)^2\) (2)
(d) Expand and simplify \((a + 5)(2a - 1)\) (2)
| Scheme | Marks |
|---|---|
| \(7(2x - 5)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(6c - 15 - 2c + 8\) | M1 |
| \(4c - 7\) | A1 |
| (2) |
Notes
M1: Any three terms correct.
| Scheme | Marks |
|---|---|
| \(16e^6\) | B2 |
| (2) |
Notes
B2: B1 for 16 or \(e^6\) as part of a product or
B1 for \(4^2 \times e^{2 \times 3}\)
| Scheme | Marks |
|---|---|
| \(2a^2 + 10a - a - 5\) | M1 |
| \(2a^2 + 9a - 5\) | A1 |
| (2) | |
| (7 marks) |
Notes
M1: Any three terms correct or
\(2a^2 + 9a + \ldots\) or \(\ldots + 9a - 5\)