4MA0 Higher June 2015 Paper 3 Q9
9
(a) Simplify \(5y \times 4y^2\) (2)
(b) Simplify \(\dfrac{15e^2 f}{25ef^3}\) (2)
(c) Factorise \(6p^2 - 5pq - 6q^2\) (2)
(d) Simplify \((x^y)^z\) (1)
| Scheme | Marks |
|---|---|
| \(20y^3\) | B2 |
| (2) |
Notes
B2: (B1 for \(ny^3, n \ne 20\) or \(20y^m\) \(m \ne 3\))
| Scheme | Marks |
|---|---|
| \(\dfrac{3e}{5f^2}\) | B2 |
| (2) |
Notes
B2: B2 \(\dfrac{3e}{5f^2}\) or \(\dfrac{3}{5}ef^{-2}\) or \(0.6\dfrac{e}{f^2}\) or \(0.6ef^{-2}\)
(B1 for \(k\dfrac{e}{f^2}\) with \(k \ne 0.6\) oe or \(\dfrac{3ef}{5f^3}\) or \(\dfrac{3e^2}{5ef^2}\))
| Scheme | Marks |
|---|---|
| \((3p + 2q)(2p - 3q)\) | M1 A1 |
| (2) |
Notes
M1 A1: M1 for \((ap + bq)(cp + dq)\) with \(ac = 6\) and \(bd = -6\)
(ie. the coefficients of \(p\) multiply to give 6 and the coefficients of \(q\) multiply to give −6)
A1 oe
| Scheme | Marks |
|---|---|
| \(x^{yz}\) | B1 |
| (1) |