O-LevelMathematicsGeometry4024/21 · May/June 2019 · Q37 Marks
B P 58° A R S A C 47° E D PBQ and RACS are parallel lines. BAE and BCD are straight lines. AB = AC, QBC = 58° and AÊD = 47°.
- (a)B P 58° A R S A C 47° E D PBQ and RACS are parallel lines. BAE and BCD are straight lines. AB = AC, QBC = 58° and AÊD = 47°.
- (a)(i)Calculate BAC, giving reasons for each step in your working.[3]
- (a)(ii)Calculate CDE.[1]
- (b)The shaded region M shows part of a regular pentagon and the shaded region N shows part of a regular octagon. Calculate x.[3]
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 (May/June 2019). The mark or mark type is shown in brackets.
- [3] 64 B1 QBC alternate to angle BCA oe B1 ABC is isosceles triangle or angle sum of triangle [=180]
- [1] 75
- [3] 117 B2 for [interior angles] 108 and 135 soi or [exterior angles] 72 and 45 soi or B1 for [interior angle] 108 or 135 soi or [exterior angle] 72 or 45 soi
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