Higher June 2019 Paper 1 Q3
3
(a) Simplify \(e^9 \div e^5\) (1)
(b) Simplify \((y^2)^8\) (1)
(c) Expand and simplify \((x + 9)(x - 2)\) (2)
(d) Factorise fully \(16c^4p^2 + 20cp^3\) (2)
| Scheme | Marks |
|---|---|
| \(e^4\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(y^{16}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(x^2 + 9x - 2x - 18\) | M1 |
| \(x^2 + 7x - 18\) | A1 |
| (2) |
Notes
M1: for 3 correct terms or
4 correct terms ignoring signs or
\(x^2 + 7x + c\) or \(\ldots + 7x - 18\)
| Scheme | Marks |
|---|---|
| \(4cp^2(4c^3 + 5p)\) | B2 |
| (2) | |
| (6 marks) |
Notes
B2: if not B2 then award B1 for any correct factorisation with at least 2 factors outside the bracket eg \(4cp(4c^3p + 5p^2)\), \(cp^2(16c^3 + 20p)\), \(2p(8pc^4 + 10cp^2)\) etc or the correct common factor and a 2 term expression with just one error