Higher June 2024 Paper 1 Q6
6
(a) Expand and simplify \(\quad (m + 5)(m - 8)\) (2)
(b) Solve \(\quad 3n - 4 = \dfrac{5n + 6}{3}\)
Show clear algebraic working. (3)
Show clear algebraic working. (3)
| Scheme | Marks |
|---|---|
| \(m^2 - 8m + 5m - 40\) | M1 |
| Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: \(m^2 - 3m - 40\) | A1 |
| (2) |
Notes
M1: for any 3 correct terms from 4 terms
or
for 4 out of 4 correct terms ignoring signs
or
for \(m^2 - 3m\) … or
for … \(- 3m - 40\)
| Scheme | Marks |
|---|---|
\(9n - 12 = 5n + 6\) oe or \(3n - 4 = \dfrac{5}{3}n + \dfrac{6}{3}\) oe | M1 |
\(9n - 5n = 12 + 6\) oe or \(4n = 18\) or \(-12 - 6 = 5n - 9n\) oe or \(-4n = -18\) oe or \(n = \dfrac{-18}{-4}\) or \(3n - \dfrac{5}{3}n = \dfrac{6}{3} + 4\) oe | M1 |
Working required Answer: \(\dfrac{9}{2}\) | A1 |
| (3) | |
| (5 marks) |
Notes
M1: for removal of fraction and multiplying out LHS
or
separating fraction (RHS) in an equation
M1: ft (dep on 4 terms) correctly rearranging their 4 term equation for terms in \(n\) on one side of equation and number terms on the other
A1: dep on M2 oe eg \(\dfrac{18}{4}\) or 4.5 or \(4\dfrac{1}{2}\)