Foundation January 2020 Paper 2 Q13
13
(a) Expand \(\quad x(5 - x)\) (1)
(b) Factorise \(\quad 3y - 21\) (1)
(c) Make \(p\) the subject of the formula \(\quad f = 3p - d\) (2)
Sergio buys \(m\) boxes of seeds and \(n\) packets of seeds.
Each box contains 10 seeds.
Each packet contains 6 seeds.
The total number of seeds that Sergio buys is \(T\).
(d) Write down a formula for \(T\) in terms of \(m\) and \(n\). (3)
| Scheme | Marks |
|---|---|
| \(5x - x^2\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(3(y - 7)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(f + d = 3p\) or \(\dfrac{f}{3} = p - \dfrac{d}{3}\) | M1 |
| \(p = \dfrac{f + d}{3}\) | A1 |
| (2) |
Notes
M1: A correct first stage in a correct formula
A1: for \(p = \dfrac{f + d}{3}\) (must see \(p =\) … at some stage)
(SCB1 for \(p = \dfrac{f - d}{3}\))
| Scheme | Marks |
|---|---|
| \(T = 10m + 6n\) | B3 |
| (3) | |
| (7 marks) |
Notes
B3: for \(T = 10m + 6n\) oe
(B2 for \(10m + 6n\) or \(T = 10m + an\) or \(T = bm + 6n\) or \(T = 6m + 10n\))
(B1 for \(10m + an\) or \(bm + 6n\) or \(6m + 10n\)) or for \(T =\) an incorrect expression in \(m\) and \(n\)