Higher January 2020 Paper 1 Q7
7
(a) Expand and simplify \(\;(m - 8)(m + 5)\) (2)
(b) Factorise fully \(\;5y + 20y^2\) (2)
(c) Simplify \(\;(p^2 + 3)^0\) (1)
(d) Solve \(\;3(2x - 5) = \dfrac{9 - x}{2}\)
Show clear algebraic working. (4)
Show clear algebraic working. (4)
| Scheme | Marks |
|---|---|
| \(m^2 - 8m + 5m - 40\) | M1 |
| \(m^2 - 3m - 40\) | A1 |
| (2) |
Notes
M1: for any 3 correct terms or for 4 out of 4 correct terms ignoring signs
for \(m^2 - 3m\) … or
for … \(-\,3m - 40\)
| Scheme | Marks |
|---|---|
| \(5y(1 + 4y)\) | B2 |
| (2) |
Notes
B2: If not B2 then award B1 for
\(5(y + 4y^2)\) or \(y(5 + 20y)\) or
\(5y(a + 4y)\) where \(a\) is an integer and \(a \neq 0\) or
\(5y(1 + by)\) where \(b\) is an integer and \(b \neq 0\)
| Scheme | Marks |
|---|---|
| 1 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| E.g. \(6x - 15\) or \(12x - 30\) oe | M1 |
\(2 \times 3(2x - 5) = 9 - x\) oe or \(2(\text{‘}6x - 15\text{’}) = 9 - x\) oe or \(3(2x - 5) = \dfrac{9}{2} - \dfrac{x}{2}\) oe | M1 |
\(12x + x = 9 + 30\) oe or \(6x + \dfrac{x}{2} = \dfrac{9}{2} + 15\) oe | M1 |
| 3 | A1 |
| (4) | |
| (9 marks) |
Notes
M1: for expansion of a correct bracket
M1: for removal of fraction or separating fraction (RHS) in an equation
M1: ft (dep on 4 terms) for terms in \(x\) on one side of equation; number terms on the other
A1: dep on at least M2 awarded