4MA0 Foundation January 2016 Paper 2 Q15
15
(a) Solve \(9 + x = 48\) (1)
(b) Solve \(4y = 11\) (1)
(c) Solve \(\dfrac{3 - 5m}{4} = 8\)
Show clear algebraic working. (3)
Show clear algebraic working. (3)
| Scheme | Marks |
|---|---|
| 39 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(\dfrac{11}{4}\) | B1 |
| (1) |
Notes
B1: Accept \(2\dfrac{3}{4}\), 2.75
| Scheme | Marks |
|---|---|
| \(3 - 5m = 8 \times 4\) or \(3 - 5m = 32\) | M1 |
| \(-5m = \text{‘32’} - 3\) or \(3 - \text{‘32’} = 5m\) \(-5m = 29\) or \(-29 = 5m\) | M1 |
| −5.8 | A1 |
| (3) |
Notes
M1: Multiplying both sides by 4 as a correct first step in a correct equation
M1: For isolating \(5m\) or \(-5m\) in a correct equation
A1: oe eg \(\dfrac{-29}{5}\) dependent on at least M1
Alternative for (c)
| Scheme | Marks |
|---|---|
| \(\dfrac{-5m}{4} = 8 - \dfrac{3}{4}\) or \(\dfrac{5m}{4} = \dfrac{3}{4} - 8\) | M1 |
| \(-5m = \left(8 - \dfrac{3}{4}\right) \times 4\) or \(5m = \left(\dfrac{3}{4} - 8\right) \times 4\) | M1 |
| −5.8 | A1 |
Notes
M1: For using quarters (or a multiple of 4) and isolating the term in \(m\) in a correct equation
M1: For isolating \(5m\) or \(-5m\) in a correct equation
A1: oe eg \(\dfrac{-29}{5}\) dependent on at least M1