Foundation June 2024 Paper 1 Q6
6
Diagram NOT accurately drawn
(a)
(i) Work out the value of \(x\) (1)
(ii) Give a reason for your answer. (1)
Diagram NOT accurately drawn
\(ABDE\) is a quadrilateral.
\(BCD\) is an isosceles triangle.
\(ABC\) is a straight line.
(b) Work out the value of \(y\) (3)
| Scheme | Marks |
|---|---|
| (i) Answer: 125 | B1 |
| (ii) Answer: correct reason | B1 |
| (2) |
Notes
B1: cao
B1: for Angles around a point add up to 360° or
Angles around a point add up to 360°
| Scheme | Marks |
|---|---|
| \(ABD\) = 180 – 54 (= 126) or \(BDC\) = 180 – 2 × 54 (= 72) or \(BDC\) = 180 – 108 (= 72) | M1 |
| 360 – (98 + 90 + “126”) or 360 – (98 + 90 + 54 + “72”) or 360 – 314 | M1 |
| Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: 46 | A1 |
| (3) | |
| (5 marks) |
Notes
M1: NB If angles are on the diagram they must be correctly assigned or if angle notation is used it must be correctly assigned
M1: for a complete method