O-LevelMathematicsGeometry4024/11 · Oct/Nov 2017 · Q184 Marks
The diagram represents a vertical, circular fairground wheel which turns about its centre O. The wheel has 30 seats, equally spaced around the circumference, numbered consecutively from 1 to 30. The diagram, which is not drawn to scale, shows seven of the seats, labelled with the seat number. The seat number 29 is at the top of the wheel. [Figure 18]
- (a)What is the number of the seat which is at the bottom of the wheel?[1]
- (b)Calculate the angle x°, as shown on the diagram.[1]
- (c)Work out the angle of elevation of seat 2 from the bottom of the wheel.[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] 14
- [1] 36
- [2] B1 for angle OB2 = 18°, where B is the bottom point. or M1 for correct angle clearly identified.
- [2] 72 nfww; or FT 90 – their(b)/2 nfww
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