4MA0 Higher January 2014 Paper 4 Q6
6
(a) Simplify \(\;k \times k \times k \times k \times k\) (1)
(b) Expand \(\;2(7t - 3)\) (1)
(c) Expand and simplify fully
(i) \(4(2y + 6) - 3(2y - 7)\)
(ii) \((x - 6)(x - 4)\)
(4)(d) Simplify fully \(\;\dfrac{v^4 \times v^7}{v^5}\) (2)
| Scheme | Marks |
|---|---|
| \(k^5\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(14t - 6\) | B1 |
| (1) |
Notes
B1: Mark response on answer line or final statement in body of script, do not isw.
| Scheme | Marks |
|---|---|
| (i) Answer: \(8y + 24 - 6y + 21\) | M1 |
| \(2y + 45\) | A1 |
| (ii) Answer: \(x^2 - 6x - 4x + 24\) | M1 |
| \(x^2 - 10x + 24\) | A1 |
| (4) |
Notes
M1: M1 for 3 terms with correct signs or 4 terms without signs
A1: Mark response on answer line or final statement in body of script, do not isw.
M1: M1 for 3 terms with correct signs or 4 terms without signs
A1: Mark response on answer line or final statement in body of script, do not isw.
| Scheme | Marks |
|---|---|
| M1 | |
| \(v^6\) | A1 |
| (2) | |
| (8 marks) |
Notes
M1: or \(v^7 / v\) or \(v^4 \times v^2\) or \(v^{11} / v^5\)