4MA0 Foundation January 2013 Paper 1 Q7
7

Diagram NOT accurately drawn
\(BCE\) and \(FCD\) are straight lines.
\(CD = CE\)
(a)
(i) Find the value of \(x\).
(ii) Give a reason for your answer.
(2)(b)
(i) Work out the value of \(y\).
(ii) Give a reason for your answer.
(2)(c) Work out the value of \(z\). (2)
| Scheme | Marks |
|---|---|
| (i) 32° | B1 |
| (ii) (vertically) opposite angles (are equal) | B1 |
| (2) |
Notes
B1: must have “opposite angles” or “vertically opposite” as minimum (accept abbreviations if meaning is clear).
Do not accept amalgamations (“corresponding vertically opposite angles”)
| Scheme | Marks |
|---|---|
| (i) 45° | B1 |
| (ii) (sum of) angles at a point = 360° | B1 |
| (2) |
Notes
B1: a full turn / circle = 360° must mention 360
Ignore calculations if on their own
Do not accept “angles add up to 360°”
| Scheme | Marks |
|---|---|
| \((180 - 32) \div 2\) | M1 |
| 74 | A1 |
| (2) |
Notes
M1: “148” ÷ 2
A1: N.B. 164 (implied from 180 – 16) on answer line with no working = M1A0