4MA0 Higher June 2017 Paper 3 Q1
1
(a) Factorise \(10a + 25\) (1)
(b) Factorise \(7w^2 - 4w\) (1)
(c) Expand \(p^2(p - 5)\) (2)
(d) Expand and simplify \((x - 3)(x + 7)\) (2)
\(G = f^3 - 7f\)
(e) Work out the value of \(G\) when \(f = 2\) (2)
| Scheme | Marks |
|---|---|
| \(5(2a + 5)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(w(7w - 4)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| M1 | |
| \(p^3 - 5p^2\) | A1 |
| (2) |
Notes
M1: for \(p^3\) or \((-)5p^2\)
| Scheme | Marks |
|---|---|
| \(x^2 + 7x - 3x - 21\) | M1 |
| \(x^2 + 4x - 21\) | A1 |
| (2) |
Notes
M1: for 3 correct terms or
4 correct terms ignoring signs or
\(x^2 + 4x + c\) or
.... \(+ 4x - 21\)
| Scheme | Marks |
|---|---|
| \(2^3 - 7 \times 2\) or \(8 - 14\) or \(8 - 7 \times 2\) or \(2^3 - 14\) | M1 |
| −6 | A1 |
| (2) | |
| (8 marks) |