Foundation November 2023 Paper 1 Q16
16
(a) Multiply out.
\(5a(2 - a)\) [2]
(b) Solve.
\(5x + 9 \gt 12\) [2]
(c) Solve by factorising.
\(x^2 + 7x + 12 = 0\) [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(10a - 5a^2\) final answer | 2 | B1 for \(10a\) or \(-5a^2\) in final answer | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(x \gt 0.6\) or \(x \gt \frac{3}{5}\) final answer | 2 | M1 for \(5x \gt 12 - 9\) oe or for \(x + 1.8 \gt 2.4\) oe or for answer 0.6 oe with or without equality or wrong inequality symbol | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \((x + 4)(x + 3)\) | M2 | M1 for \((x + a)\) and \((x + b)\) where \(ab = 12\) or \(a + b = 7\) | Condone final bracket missing Accept \((x + 4) = 0\) \((x + 3) = 0\) for M2 Allow correctly completed grid with +4 and +3 as headers for M1 |
| \(-4\) and \(-3\) | B1FT | for correct solutions from their quadratic factors If 0 scored SC1 for answers \(\pm 4\) and \(\pm 3\) | |