4MA0 Foundation January 2016 Paper 1R Q10
10

Diagram NOT accurately drawn
(a) Work out the size of angle \(q\). (2)

Diagram NOT accurately drawn
\(ABCD\) and \(EBF\) are straight lines.
Angle \(FBC = 36^\circ\) and angle \(FCD = 68^\circ\)
\(FC = FD\)
(b) Write down the size of angle \(s\). (1)
(c) Work out the size of angle \(t\). (1)
(d) Explain why angle \(v = 68^\circ\) (1)
(e) Work out the size of angle \(w\). (2)
| Scheme | Marks |
|---|---|
| \(360 - 250\) or \(180 - 125\) or \(2q + 250 = 360\) oe | M1 |
| 55 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| 36 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 112 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| base angles of an isosceles triangle are equal | B1 |
| (1) |
Notes
B1: Accept \(CF = FD\)
| Scheme | Marks |
|---|---|
| \(180 - 68 - 68\) | M1 |
| 44 | A1 |
| (2) | |
| Total 7 marks |