4MA0 Foundation January 2015 Paper 2 Q7
7
(a) Solve \(\;5x = 20\) (1)
(b) Simplify \(\;k + k + k + k + k\) (1)
(c) Simplify \(\;8p + 4m - 5p + m\) (2)
(d) \(T = 4x + 9y\)
Work out the value of \(T\) when \(x = -5\) and \(y = 3\) (2)
Work out the value of \(T\) when \(x = -5\) and \(y = 3\) (2)
(e) Factorise \(\;c^2 - 5c\) (2)
(f) Simplify \(\;d^5 \times d^7\) (1)
| Scheme | Marks |
|---|---|
| 4 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(5k\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(3p + 5m\) | B2 |
| (2) |
Notes
B2: B1 for \(3p\) or \(5m\)
| Scheme | Marks |
|---|---|
| 4 × −5 + 9 × 3 or −20 or 27 | M1 |
| 7 | A1 |
| (2) |
Notes
M1: for correct evaluation of one term or complete correct substitution into rhs
| Scheme | Marks |
|---|---|
| \(c(c - 5)\) | B2 |
| (2) |
Notes
B2: Award B2 also for \((c \pm 0)(c - 5)\)
B1 for factors which, when expanded and simplified, give two terms, one of which is correct
| Scheme | Marks |
|---|---|
| \(d^{12}\) | B1 |
| (1) | |
| (9 marks) |