Foundation June 2023 Paper 2 Q13
13
(a) Expand \(\quad x(3 - x)\) (1)
(b) Factorise fully \(\quad 12a - 18b\) (2)
There are 8 slices of cheese in each small pack of cheese.
There are 20 slices of cheese in each large pack of cheese.
Afreen buys \(h\) small packs of cheese and \(j\) large packs of cheese.
She buys a total of \(T\) slices of cheese.
(c) Write down a formula for \(T\) in terms of \(h\) and \(j\) (3)
| Scheme | Marks |
|---|---|
| \(3x - x^2\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(6(2a - 3b)\) | B2 |
| (2) |
Notes
B2: If not B2, then
B1 for \(3(4a - 6b)\) or \(2(6a - 9b)\) or 6(expression with one error)
| Scheme | Marks |
|---|---|
| \(T = 8h + 20j\) | B3 |
| (3) | |
| (6 marks) |
Notes
B3: for \(T = 8h + 20j\) oe
eg \(T = 4(2h + 5j)\) oe
[accept \(T = 8 \times h + 20 \times j\)]
(B2 for \(8h + 20j\) or \(T = 8h + aj\) or \(T = bh + 20j\) or \(T = 20h + 8j\) or a correct equation with letters such as \(S\) and \(L\) eg \(T = 8S + 20L\))
(B1 for \(8h + aj\) or \(bh + 20j\) or \(20h + 8j\) or for \(T\) = an incorrect expression in \(h\) and \(j\))