Foundation November 2024 Paper 2 Q6
6
(a) \(AB\) is a straight line.
Not drawn accurately
Work out the size of angle \(x\). [1 mark]
(b) 
Not drawn accurately
Work out the size of angle \(y\). [2 marks]
(c) Three straight lines intersect as shown.
Not drawn accurately
What type of triangle is made?
You must show your working. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| 35 | B1 |
| Answer | Mark | Comments |
|---|---|---|
| \(360 - (35 + 160)\) | M1 | oe |
| 165 | A1 |
| Answer | Mark | Comments |
|---|---|---|
| Opposite angle to 47 = 47 and 3rd angle = 47 and isosceles | B3 | B2 opposite angle to 47 = 47 and 3rd angle \(= 180 - 47 - 86\) or 47 with type of triangle blank or incorrect B1 opposite angle to 47 = 47 |
Additional guidance
| Angles may be seen in the correct places on the diagram for B3, B2 or B1 | |
| Ignore incorrect spelling of isosceles so long as intention is clear | |
| Ignore any reasons stated | |
| \(180 - 47 - 86\) does not need to be evaluated correctly for B2 | |
| 3rd angle \(= (180 - 86)/2 = 47\) does not gain credit unless opposite angle = 47 is also seen | |
| Examples of responses: | |
 Answer Isosceles | B3 |
| Angles in the triangle are both 47, answer isosceles | B3 |
| Opposite angles are 47, \(47 + 47 + 86 = 180\), isosceles | B3 |
 and \(180 - 47 - 86 = 47\) (implies 3rd angle as 1st angle stated in diagram) | B2 |
 and \(180 - 47 - 86 = 47\) | B0 |
| \(47 + 86 = 133\), \(180 - 133 = 47\), so isosceles triangle | B0 |