Foundation January 2020 Paper 1 Q7
7
Diagram NOT accurately drawn
\(ABDE\) is a quadrilateral.
\(ABC\) is a triangle.
\(DCB\) is a straight line.
(a)
(i) Work out the value of \(x\). (1)
(ii) Give a reason for your answer. (1)
(b) Work out the value of \(y\).
Give a reason for each stage of your working. (3)
Give a reason for each stage of your working. (3)
| Scheme | Marks |
|---|---|
| 38 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| Angles in a triangle sum to 180° | B1 |
| (1) |
Notes
B1: Allow
Angles in a triangle sum to 180°
| Scheme | Marks |
|---|---|
| Quad \(ABDE\) 360 – 78 – 90 – 17 – (a)(i) (360 – 223) or Line and quad \(ACDE\) 360 – 90 – 78 – (180 – 125) 360 – 90 – 78 – ‘55’ | M1 |
| 137 | A1 |
| Reason(s) | B1 |
| (3) | |
| (5 marks) |
Notes
M1: ft from (a)(i)
B1: for full reasons
E.g. Angles in a quadrilateral sum to 360°
(accept Angles in a quadrilateral sum to 360°)
OR
Angles on a straight line sum to 180°
(accept Angles on a straight line sum to 180°)
and
Angles in a quadrilateral sum to 360°
(accept Angles in a quadrilateral sum to 360°)
Accept 4 sided shape for quadrilateral