1MA0 Higher March 2013 Paper 2 Q11
11
(a) Expand and simplify \(3(x + 4) + 2(5x - 1)\) (2)
(b) Expand and simplify \((2x + 1)(x - 4)\) (2)
(c) Factorise completely \(6y^2 - 9xy\) (2)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(3x + 12 + 10x - 2\) | \(13x + 10\) | 2 | M1 for correct method to expand one bracket eg \(3 \times x + 3 \times 4\) or \(3x + 12\) or \(2 \times 5x - 2 \times 1\) or \(10x - 2\) A1 for \(13x + 10\) |
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(2x^2 - 8x + x - 4\) | \(2x^2 - 7x - 4\) | 2 | M1 for all 4 terms (and no additional terms) correct ignoring signs or 3 out of no more than four terms correct A1 for \(2x^2 - 7x - 4\) |
| Answer | Mark | Notes |
|---|---|---|
| \(3y(2y - 3x)\) | 2 | B2 for \(3y(2y - 3x)\) (B1 for \(3(2y^2 - 3xy)\) or \(y(6y - 9x)\) or \(3y(2y + 3x)\) or \(3y(2y - ax)\) where \(a\) is any positive integer except 3 or \(3y(by - 3x)\) where \(b\) is any positive integer except 2) |