1MA0 Higher November 2015 Paper 1 Q10
10
(a) Expand \(x(x + 2)\) (1)
(b) Expand and simplify \(3(y + 2) + 4(x - 1)\) (2)
(c) Expand and simplify \((2t - 3)(t + 5)\) (2)
(d) Factorise fully \(8a^2 + 12a\) (2)
(e) Factorise \(y^2 - y - 2\) (2)
| Answer | Mark | Notes |
|---|---|---|
| \(x^2 + 2x\) | 1 | B1 cao |
| Answer | Mark | Notes |
|---|---|---|
| \(3y + 4x + 2\) | 2 | M1 for a method to expand a bracket, e.g. \(3y + 6\) or \(4x - 4\) A1 cao |
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(2t^2 + 10t - 3t - 15\) | \(2t^2 + 7t - 15\) | 2 | M1 for 4 terms correct ignoring signs or 3 out of no more than 4 terms with signs correct unless ambiguous A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| \(4a(2a + 3)\) | 2 | M1 for \(4a(na + c)\) or \(2a(4a + 6)\) or \(a(8a + 12)\) [\(n, c\) integers, \(c \neq 0\)] A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| \((y + 1)(y - 2)\) | 2 | M1 for \((y \pm 1)(y \pm 2)\) unless ambiguous A1 cao |