Higher November 2019 Paper 2 Q4
4.
(a) Expand and simplify \((2x - 7)(3x - 8)\). [3]
(b) Solve \(w^2 + 8w - 33 = 0\). [3]
(c) Factorise \(b^2 - 144\). [1]
(d) Rearrange the following to make \(e\) the subject.
Simplify your answer. [2]\[9e^2 = t^4\]
Simplify your answer. [2]\[9e^2 = t^4\]
| Scheme | Marks | Comments |
|---|---|---|
| \(6x^2 - 16x - 21x + 56\) | B2 | B1 for any 2 terms correct |
| \(6x^2 - 37x + 56\) | B1 | FT for equivalent level of difficulty, providing at least 3 terms to consider and like terms to collect |
| Scheme | Marks | Comments |
|---|---|---|
| \((w + 11)(w - 3)\quad (= 0)\) | B2 | B1 for \((w \ldots 11)(w \ldots 3)\) |
| \(w = -11\) with \(w = 3\) | B1 | STRICT FT from ‘their pair of brackets’ |
| Scheme | Marks | Comments |
|---|---|---|
| \((b - 12)(b + 12)\) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(e = (\pm)\,\dfrac{t^2}{3}\) | B2 | B1 for \(e = \dfrac{t^x}{3}\) or \(e = yt^2\), where \(x \ne 0\) and \(y \ne 0\) |
| (9) |