Foundation November 2024 Paper 1 Q5
5
(a) The diagram shows a triangle, ABC.
The angle at A is \(30^\circ\).
The angle at A is \(30^\circ\).

Not to scale
(i) What does the symbol at angle B mean?
Choose from this list.
Choose from this list.
| An acute angle | The biggest angle | An obtuse angle | A reflex angle | A right angle |
[1]
(ii) Work out the angle at C.
Give a geometrical reason for your answer.
Give a geometrical reason for your answer.
The angle at C is ..................\(^\circ\) because .................. [2]
(b) A student works out the size of angle \(x\) in this diagram.

Not to scale
The student says the angle is \(240^\circ\).
Explain why the student’s answer cannot be correct. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) A right angle | 1 | May be indicated in list | |
| (ii) 60 | 1 | ||
| [Angles in a] triangle sum to 180 oe | 1 | Must refer to triangle Do not accept just a calculation | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 160 and 240 do not make 360 oe or sum correctly connecting 160, 240 and 400 and reference to 360 oe or sum correctly connecting 160, 200 and 360 or angles around a point add to 360 not 400 | 1 | Condone incorrect geometric reasons Must include a reference to 360 eg 160 + 240 = 400 is insufficient Angles may be marked on diagram See appendix | |
Appendix
Exemplar responses for 5b
| Response | Mark |
|---|---|
| A circle is 360 – take away 160 and you get 200 | 1 |
| Angle in a circle / round a point add to 360 not 400 | 1 |
| Angle in a circle / round a point add to 360 240 + 160 = 400 | 1 |
| Angle in a circle / round a point add to 360 360 – 160 =200 | 1 |
| All angles add to 360 240 + 160 = 400 | 1 |
| 360 – 160 = 200 | 1 |
| Reflex angles add up to 360 with 360 – 160 = 200 | 1 |
| It would be more than 360 (no working) | 0 |
| Angle in a circle / round a point add to 360 (no working) | 0 |
| Reflex angles add up to 360 (no working) | 0 |
| Angle has to add up to 360 (no working) | 0 |
| It adds up to 360 not 400 (no working) | 0 |