Higher January 2022 Paper 1R Q9
9
(a) Simplify \(x^4 \times x^5\) (1)
(b) Simplify \(\left(4y^2\right)^3\) (2)
(c) Factorise \(n^2 - 7n + 12\) (2)
| Scheme | Marks |
|---|---|
| \(x^9\) | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| \(64y^6\) | B2 |
| (2) |
Notes
B2: for \(64y^6\)
(B1 for \(ky^6\) where \(k \neq 64\) or \(64y^m\) where \(m \neq 6\))
| Scheme | Marks |
|---|---|
| \((n \pm 3)(n \pm 4)\) | M1 |
| \((n - 3)(n - 4)\) | A1 |
| (2) | |
| (5 marks) |
Notes
M1: for \((n \pm 3)(n \pm 4)\) or \((n + a)(n + b)\) where \(ab = 12\) or \(a + b = -7\)
Condone use of a different letter to \(n\)