4MA0 Higher January 2018 Paper 4 Q10
10
(a) Factorise \(25m + 30n\) (1)
(b) Expand \(p(2p - 3)\) (1)
(c) Simplify fully \(\dfrac{y^5 \times y^8}{y^4}\) (2)
(d) Expand and simplify \((x + 7)(x - 3)\) (2)
(e) Factorise fully \(36p^3m^2 + 27p^5m\) (2)
| Scheme | Marks |
|---|---|
| \(5(5m + 6n)\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(2p^2 - 3p\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(\dfrac{y^{13}}{y^4}\) or \(y^{(1)} \times y^8\) or \(y^5 \times y^4\) or \(y^{5 + 8 - 4}\) | M1 |
| \(y^9\) | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(x^2 + 7x - 3x - 21\) | M1 |
| \(x^2 + 4x - 21\) | A1 |
| (2) |
Notes
M1: 3 terms correct with signs or 4 terms correct ignoring signs or
\(x^2 + 4x \pm \ldots\) or
\(\ldots + 4x - 21\)
| Scheme | Marks |
|---|---|
| \(9p^3m(4m + 3p^2)\) | B2 |
| (2) |
Notes
B2: B1 for any correct partial factorisation with at least 2 letters or one letter and one number outside the bracket eg. \(3m(12p^3m + 9p^5)\) or correct highest common factor with a 2 term expression in \(m\) and \(p\) inside the bracket