4MA0 Higher January 2016 Paper 4 Q17
17
(a) Simplify \(\left(\dfrac{8e^6}{f^{12}}\right)^{\frac{1}{3}}\) (2)
(b) Factorise fully \(2y^2 - 72\) (2)
(c) Simplify \(\dfrac{2p^2 - p - 15}{p^2 - 3p}\) (3)
| Scheme | Marks |
|---|---|
| \(\dfrac{2e^2}{f^4}\) | B2 |
| (2) |
Notes
B2: Fully correct. Accept \(2e^2f^{-4}\)
B1 for 2 out of 3 correct terms in a product or quotient
| Scheme | Marks |
|---|---|
| M1 | |
| \(2(y + 6)(y - 6)\) | A1 |
| (2) |
Notes
M1: for \(2(y^2 - 36)\) or \((2y - 12)(y + 6)\) or \((2y + 12)(y - 6)\)
| Scheme | Marks |
|---|---|
| \(\dfrac{(p - 3)(2p + 5)}{p(p - 3)}\) | M1 |
| M1 | |
| \(\dfrac{2p + 5}{p}\) | A1 |
| (3) |
Notes
M1: \((p - 3)(2p + 5)\)
M1: \(p(p - 3)\) or \((p + 0)(p - 3)\)
A1: oe e.g. \(2 + \dfrac{5}{p}\) (NB: if candidates incorrectly cancel a correct algebraic fraction they lose the A mark)