O-LevelAdditional MathematicsCircular measure4037/12 · Oct/Nov 2023 · Q107 Marks
In this question all lengths are in centimetres and all angles are in radians. [Figure 10.1] The diagram shows a badge which consists of a minor sector, OAB, of the circle with centre O and radius 12, and a kite OBCD, where OB = OD and CD = CB. The arc AB has length 27. The line OB is perpendicular to the line CB, and COA is a straight line.
- (a)Find the perimeter of the badge.[4]
- (b)Find the area of the badge.[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 (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [4] (a) B1 ∠AOB = θ
- [4] (a) M1 Allow with their θ.
- [4] (a) M1 Allow with their CB.
- [4] (a) A1 From correct working only
- [3] (b) M1 for each area
- [3] (b) A1 for awrt 340 or 341
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