Foundation June 2022 Paper 2 Q11
11
(a) Simplify \(c \times c \times c \times c \times c \times c\) (1)
(b) Simplify \(2h^3 + 5h^3 - h^3\) (1)
(c) Expand \(x(x + 5)\) (1)
(d) Factorise \(9y - 12\) (1)
Rosanna sells \(m\) small bags of marbles and \(p\) large bags of marbles.
Each small bag contains 15 marbles.
Each large bag contains 40 marbles.
The total number of marbles that Rosanna sells is \(T\)
(e) Write down a formula for \(T\) in terms of \(m\) and \(p\) (3)
| Scheme | Marks |
|---|---|
| \(c^6\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(6h^3\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(x^2 + 5x\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(3(3y - 4)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(T = 15m + 40p\) | B3 |
| (3) | |
| (7 marks) |
Notes
B3: ((B2 for \(15m + 40p\) or \(T = 15m + xp\) or
\(T = ym + 40p\) or \(T = 40m + 15p\))
(B1 for \(15m + xp\) or \(ym + 40p\) or
\(40m + 15p\) or for \(T =\) an incorrect expression in \(m\) and \(p\) eg \(T = mp\)))
Allow \(15 \times m\) or \(m15\) etc