1MA0 Higher November 2014 Paper 1 Q22
22
(a) Simplify fully \((3e)^0\) (1)
(b) Simplify fully \(\left(\dfrac{64x^6}{25y^2}\right)^{-\frac{1}{2}}\) (2)
(c) Write \(\dfrac{5}{x - 3} - \dfrac{4}{x + 3}\) as a single fraction in its simplest form. (3)
| Answer | Mark | Notes |
|---|---|---|
| 1 | 1 | B1 cao |
| Answer | Mark | Notes |
|---|---|---|
| \(\dfrac{5y}{8x^3}\) | 2 | M1 for correct square root or correct use of reciprocal eg \(\dfrac{8x^3}{5y}\) or \(\dfrac{25y^2}{64x^6}\) A1 for \(\dfrac{5y}{8x^3}\) or \(\dfrac{5}{8}yx^{-3}\) oe |
| Answer | Mark | Notes |
|---|---|---|
| \(\dfrac{x + 27}{(x - 3)(x + 3)}\) | 3 | M1 for denominator \((x - 3)(x + 3)\) or \(x^2 - 9\) M1 for \(\dfrac{5(x + 3)}{(x - 3)(x + 3)}\) oe or \(\dfrac{4(x - 3)}{(x - 3)(x + 3)}\) oe (NB The denominator must be \((x - 3)(x + 3)\) or \(x^2 - 9\) or another suitable common denominator) A1 for \(\dfrac{x + 27}{(x - 3)(x + 3)}\) or \(\dfrac{x + 27}{x^2 - 9}\) |