Foundation January 2020 Paper 2 Q20
20 The diagram shows a triangle.
Diagram NOT accurately drawn
Work out the value of \(x\).
(4)
| Scheme | Marks |
|---|---|
| \(30 + 4x + 10 + x + 20\ (= 5x + 60)\) or 180 – 30 (= 150) | M1 |
| e.g. \(30 + 4x + 10 + x + 20 = 180\) or \(5x + 60 = 180\) oe or 180 – 30 – 10 – 20 (= 120) oe eg 180 − 60 | M1 |
| \(5x = 120\) or “120” ÷ 5 | M1 |
| 24 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: Allow \(5x + 60 = n\) where \(n \neq 180\) or for subtracting 30 from 180
M1: for setting up the equation or for subtracting all numerical values of angles from 180
M1: dep on M2 for correctly simplifying to \(ax = b\) or for dividing “120” by 5
A1: for 24
M2 for \(5x + 30 = 150\) oe (in place of the first two M1 marks)