1MA0 Higher November 2014 Paper 1 Q12
12
(a) Factorise \(3e^2 + 5e\) (1)
(b) Solve \(7(k - 3) = 3k - 5\) (3)
(c) Expand and simplify \((2x + 3)(x - 8)\) (2)
(d) Solve \(\dfrac{7 - 3f}{4} = 2\) (3)
| Answer | Mark | Notes |
|---|---|---|
| \(e(3e + 5)\) | 1 | B1 for \(e(3e + 5)\) |
| Answer | Mark | Notes |
|---|---|---|
| 4 | 3 | M1 for intention to expand brackets, eg \(7k - 21\) or division of all terms on RHS by 7 as first step, eg \(\tfrac{3}{7}k - \tfrac{5}{7}\) M1 for correct method to isolate terms in \(k\) in an equation A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| \(2x^2 - 13x - 24\) | 2 | M1 for 4 terms correct ignoring signs or 3 out of no more than 4 terms correct A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| \(-\dfrac{1}{3}\) | 3 | M1 for clear intention to multiply both sides by 4 or split into individual fractions on LHS M1 for correct method to isolate term in \(f\) in an equation, ft from equations of form \(a + bf = c\), where \(a, b, c \neq 0\) A1 cao |