1MA0 Higher June 2017 Paper 2 Q17
17
(a) Simplify \(\dfrac{3(x + 1)}{(x + 1)^2}\) (1)
(b) Solve \(\dfrac{15 - x}{5} = 3x + 11\) (3)
(c) Make \(m\) the subject of the formula \(v = \sqrt{\dfrac{2E}{m}}\) (3)
| Answer | Mark | Notes |
|---|---|---|
| \(\dfrac{3}{x + 1}\) | 1 | B1 oe |
| Answer | Mark | Notes |
|---|---|---|
| \(-2.5\) | 3 | M1 for attempting to multiply both sides by 5 as a first step and cancelling the LHS (can be implied by equations of the form \(15 - x = 15x + ?\) or \(15 - x = ?x + 55\)) M1 for method to isolate terms in \(x\) and number terms from \(ax + b = cx + d\) A1 for \(-2.5\) oe OR M1 for splitting the LHS correctly into two parts \(\dfrac{15}{5} - \dfrac{x}{5} = 3x + 11\) M1 for method to isolate terms in \(x\) and number terms from \(ax + b = cx + d\) A1 for \(-2.5\) oe |
| Answer | Mark | Notes |
|---|---|---|
| \(m = \dfrac{2E}{v^2}\) | 3 | M1 for a method to remove square root or clear fraction as a first step M1 for a method to remove square root and clear fraction A1 for \(m = \dfrac{2E}{v^2}\) |