4400 Higher June 2007 Paper 4 Q12
12 Simplify
(a) \(\dfrac{a^3 \times a^4}{a^2}\) (2)
(b) \((\sqrt{x})^6\) (1)
(c) \(\dfrac{3(x + 1)^2}{6(x + 1)}\) (2)
| Scheme | Marks |
|---|---|
| \(a^7 / a^2\) or \(a \times a^4\) or \(a^3 \times a^2\) | M1 |
| \(a^5\) | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(x^3\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| Correctly cancel numbers or \((x + 1)\) | M1 |
| \(\frac{1}{2}(x + 1)\) or \(0.5(x + 1)\) or \(\dfrac{x + 1}{2}\) or \(\dfrac{x}{2} + \dfrac{1}{2}\) or equiv | A1 |
| (2) | |
| (5 marks) |
Notes
M1: eg \(\frac{1}{2}\) or 0.5 or denom = 2 or \(\dfrac{3(x + 1)}{6}\) or \(\dfrac{3x + 3}{6}\) or \(k(x + 1)\) (\(k \ne 1\))
A1: Not ISW