4MA0 Higher June 2017 Paper 4R Q5
5
(a) Expand \(\quad 4(3 - 7c)\) (1)
(b) Factorise \(\quad y^2 + 8y\) (1)
(c) Expand and simplify \(\quad (x + 7)(x - 3)\) (2)
(d) Solve \(\quad 5p - 9 = 3p\) (2)
(e) Simplify \(\quad y^7 \times y^4\) (1)
(f) Simplify \(\quad h^{12} \div h^4\) (1)
(g) Simplify \(\quad (e^5)^3\) (1)
| Scheme | Marks |
|---|---|
| \(12 - 28c\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(y(y + 8)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(x^2 - 3x + 7x - 21\) | M1 |
| \(x^2 + 4x - 21\) | A1 |
| (2) |
Notes
M1: For 3 correct terms
or for 4 correct terms ignoring signs
or for \(x^2 + 4x + c\) for any non-zero value of \(c\) or for ... \(+ 4x - 21\)
A1: cao
| Scheme | Marks |
|---|---|
| \(5p - 3p = 9\) or \(2p = 9\) or \(-9 = 3p - 5p\) or \(-9 = -2p\) | M1 |
| 4.5 | A1 |
| (2) |
Notes
A1: oe
eg \(\dfrac{9}{2}\) or \(4\dfrac{1}{2}\)
| Scheme | Marks |
|---|---|
| \(y^{11}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(h^8\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(e^{15}\) | B1 |
| (1) | |
| (9 marks) |