4MA0 Foundation January 2018 Paper 1R Q13
13 \(y = 2w\)
(a) Work out the value of \(y\) when \(w = 30\) (1)
\(t = 2c + 3d\)
\(c = 8\)
\(d = 5\)
(b) Work out the value of \(t\). (2)
Here is a straight line \(ABCD\).
Diagram NOT accurately drawn
\(AB = x\) cm
\(BC = 2AB\)
\(CD\) is 5 cm longer than \(AB\)
The total length of the line \(ABCD\) is \(L\) cm.
(c) Find an expression for \(L\) in terms of \(x\).
Give your answer in its simplest form. (3)
Give your answer in its simplest form. (3)
| Scheme | Marks |
|---|---|
| 60 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 2 × 8 + 3 × 5 | M1 |
| 31 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(BC = 2x,\ \ CD = x + 5\) | M1 |
| \(x + \text{‘}2x\text{’} + \text{‘}x + 5\text{’}\) | M1 |
| \(4x + 5\) | A1 |
| (3) |
Notes
M1: for \(BC\) or \(CD\)
M1: for the sum of 3 lengths with at least one of \(BC\), \(CD\) correct