4MA0 Higher January 2015 Paper 4R Q11
11 \(t^n = \dfrac{1}{t^3}\)
(a) Write down the value of \(n\). (1)
(b) Simplify \(\dfrac{6xy^5}{3xy^2}\) (2)
(c) Expand and simplify \((3x - 2y)(x + 2y)\) (2)
(d) Factorise \(4x^2 - 7x - 2\) (2)
| Scheme | Marks |
|---|---|
| −3 | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| \(2y^3\) | B2 |
| (2) |
Notes
B2: cao
(B1 for one correct simplification)
| Scheme | Marks |
|---|---|
| \(3x^2 - 2yx + 6xy - 4y^2\) | M1 |
| \(3x^2 + 4xy - 4y^2\) | A1 |
| (2) |
Notes
M1: for 4 correct terms, ignoring signs or for 3 out of 4 correct terms with correct signs or
\(\ldots + 4xy - 4y^2\) or
\(3x^2 + 4xy \ldots\)
A1: cao
| Scheme | Marks |
|---|---|
| M1 | |
| \((4x + 1)(x - 2)\) | A1 |
| (2) | |
| (7 marks) |
Notes
M1: for \((4x \pm 1)(x \pm 2)\)
A1: cao