Foundation November 2020 Paper 1 Q15
15
(a) Solve.\[\frac{x}{2} + 5 = 15\]
[2]
(b) Factorise.\[5a^2 - 10a\]
[2]
(c) Solve by factorising.\[x^2 + 15x + 56 = 0\]
[3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 20 | 2 | M1 for \(\dfrac{x}{2} = 15 - 5\) or better or \(x + 10 = 30\) | For M1 must be an equation in \(x\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(5a(a - 2)\) final answer | 2 | M1 for \(5(a^2 - 2a)\) or \(a(5a - 10)\) as answer | Condone missing final bracket |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \((x + 7)(x + 8)\) | M2 | M1 for \((x + a)\) and \((x + b)\) where \(ab = 56\) or \(a + b = 15\) | |
| \({}^{-}7\) and \({}^{-}8\) final answer | B1FT | for correct solutions from their quadratic factors If 0 scored SC1 for answers \(\pm 7\) and \(\pm 8\) | |