O-LevelMathematicsGeometry4024/21 · May/June 2014 · Q48 Marks
[Figure 4] A, B, C, D and E are points on a circle with centre O. AD is a diameter of the circle and F is the point of intersection of AD and CЕ. ACE = 24° and ADC = 72°. (a) Find
- (a)(i)ADE,[1]
- (a)(ii)CÊD,[1]
- (a)(iii)CÊD,[1]
- (a)(iv)ABC.[1]
- (b)(i)Given that DC = 4.5 cm, calculate the diameter of the circle,[2]
- (b)(ii)DE.[2]
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Mark scheme
Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.
- [1] 24°
- [1] 18°
- [1] 42°
- [1] 108°
- [2] M1 for cos 72 = 4.5 / AD
- [2] M1 for DE / sin 66 = 4.5 / sin 18
- [2] Or for 'their (b)(i)' × cos(‘their (a)(i)')
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