O-LevelMathematicsGeometry4024/21 · Oct/Nov 2017 · Q610 Marks
Find ACB.
- (a)(i)Find ACB.[1]
- (a)(ii)Find AÊF. Give a reason for your answer.[1]
- (a)(iii)Find CDE.[1]
- (a)(iv)Find BCD.[2]
- (b)Work out the size of the largest angle in the pentagon.[3]
- (c)The angles in the quadrilateral are given correct to the nearest degree. Find the lower bound for the value of y.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.
- [1] [ ACB =] 38
- [1] [ AÊF = ] 38, angles in same segment are equal
- [1] [CDE = ] 112
- [2] FT 180 – their CDE + their ACB
- [2] M1 for ACD = 180 – their 112 soi
- [2] [ BCD = ] 106
- [3] B1 for sum of angles in pentagon = 540 soi
- [3] M1 for 8x + 124 = their 540 oe
- [3] 156
- [2] B1 for two of 65.5, 131.5 and 57.5 seen
- [2] After B0, SC1 for answer 108.5
- [2] 105.5
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