4MA0 Higher January 2016 Paper 3 Q4
4
(a) Factorise \(15r + 10\) (1)
(b) Simplify \(y^7 \times y^2\) (1)
(c) Expand and simplify \((x + 5)(x - 1)\) (2)
(d) Simplify fully \(\dfrac{36k^3m^4}{30k^5m}\) (2)
| Scheme | Marks |
|---|---|
| \(5(3r + 2)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(y^9\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(x^2 + 5x - x - 5\) | M1 |
| \(x^2 + 4x - 5\) | A1 |
| (2) |
Notes
M1: for 3 correct terms out of a maximum of 4 terms
or for 4 correct terms ignoring signs
or for \(x^2 + 4x + k\) for any non-zero value of \(k\)
or for \(\ldots + 4x - 5\)
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{6m^3}{5k^2}\) | A1 |
| (2) |
Notes
M1: for any one correct application of index laws in a product or quotient
eg. \(\dfrac{36m^4}{30k^2m}\), \(\dfrac{36k^3m^3}{30k^5}\)
A1: oe eg. \(1.2m^3k^{-2}\)