Foundation June 2024 Paper 2 Q11
11
(a) Simplify \(\quad e \times e \times e \times e \times e\) (1)
(b) Simplify \(\quad m + m + m\) (1)
(c) Simplify \(\quad 3g^2 + 7g^2 - 4g^2\) (1)
(d) Expand \(\quad a(a + 8)\) (1)
(e) Factorise \(\quad 15x + 20\) (1)
Sophia sells \(d\) packs of toy cars and \(h\) boxes of toy cars.
Each pack contains 3 toy cars.
Each box contains 5 toy cars.
The total number of toy cars that Sophia sells is \(T\)
(f) Write down a formula for \(T\) in terms of \(d\) and \(h\) (3)
| Scheme | Marks |
|---|---|
| \(e^5\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(3m\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(6g^2\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(a^2 + 8a\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(5(3x + 4)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(T = 3d + 5h\) | B3 |
| (3) | |
| (8 marks) |
Notes
B3: Allow \(T = d3 + h5\) or \(T = d \times 3 + h \times 5\)
(B2 for \(3d + 5h\) or \(T = 3d + xh\) or
\(T = yd + 5h\) or \(T = 5d + 3h\))
[where \(x \neq 0\) and \(y \neq 0\) and can be negative]
(B1 for \(3d + xh\) or \(yd + 5h\)
[where \(x \neq 0\) and \(y \neq 0\) and can be negative]
or
\(5d + 3h\) or for \(T\) = an incorrect expression in \(d\) and \(h\) eg \(T = d + h\), \(T = d \times h\) etc
or \(T = 3d\ (+\, c)\) or \(T = (k\ +)\ 5h\))