4400 Higher June 2009 Paper 3 Q5
5
(a) Factorise \(p^2 + 7p\) (2)
(b) Solve \(4 - 5x = 2\) (3)
(c) Simplify \(t^3 \times t^6\) (1)
(d) Expand and simplify \(3(4y + 5) - 5(2y + 3)\) (2)
| Scheme | Marks |
|---|---|
| \(p(p + 7)\) | B2 |
| (2) |
Notes
B2: Also accept \((p + 0)(p + 7)\) for B2
B1 for factors which, when expanded and simplified, give two terms, one of which is correct.
SC B1 for \(p(p + 7p)\)
| Scheme | Marks |
|---|---|
| \(5x = 2\) or \(-5x = -2\) | M2 |
| \(\frac{2}{5}\) or 0.4 | A1 |
| (3) |
Notes
M2: for \(5x = 2\) or \(-5x = -2\) or \(\frac{5x}{5} = \frac{2}{5}\)
M1 for \(4 = 5x + 2\) or \(5x = 4 - 2\) or \(-5x = 2 - 4\) or \(5x - 2 = 0\)
A1: for 4 correct
B1 for 2 correct
| Scheme | Marks |
|---|---|
| \(t^9\) | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| \(12y + 15 - 10y - 15\) | M1 |
| \(2y\) | A1 |
| (2) | |
| (8 marks) |
Notes
M1: for 3 correct terms inc correct signs or for \(12y + 15 - (10y + 15)\)
A1: Accept \(2y + 0\)