4MA0 Foundation January 2017 Paper 2 Q13
13
(a) Simplify \(9x^2 + 2x^2 - 5x^2\) (1)
\(e = 2f - 5g\)
(b) Find the value of \(e\) when \(f = 12\) and \(g = 3\) (2)
\(e = 2f - 5g\)
(c) Find the value of \(f\) when \(e = 8\) and \(g = -6\) (3)
| Scheme | Marks |
|---|---|
| \(6x^2\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| Eg 2×12 − 5×3 or 24 − 15 | M1 |
| 9 | A1 |
| (2) |
Notes
M1: For a correct substitution
| Scheme | Marks |
|---|---|
| Eg \(8 = 2f - 5 \times -6\) or \(8 = 2f - -30\) or \(8 = 2f + 30\) or \(2f = 8 + 5 \times -6\) or \(2f = -22\) | M1 |
| \((f =)\ \dfrac{8 - 30}{2}\) or \(\dfrac{-22}{2}\) or \(\dfrac{8 + 5 \times -6}{2}\) | M1 |
| −11 | A1 |
| (3) | |
| (6 marks) |
Notes
M1: For a correct substitution
or \(f = \dfrac{e + 5g}{2}\)
A1: SCB2 for −11 embedded