O-LevelMathematicsMensuration4024/12 · May/June 2016 · Q245 Marks

The diagram shows a sector of a circle with radius 3r cm and angle a° and a circle with radius r cm. [Figure 24.1] The ratio of the area of the sector to the area of the circle with radius r cm is 8 : 1.

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Mark scheme

Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.

[3*] (a) 320 M2 for a/360 × π × (3r)² = 8πr² oe OR M1 for a/360 × π × (3r)² oe seen or for 8πr² seen
[2*] (b) 6r + (16πr)/3 final answer C1 for kr + (16πr)/3, where k ≥ 0 OR M1 FT for (their 320)/360 × 2π × 3r oe or for 6r + (their 320)/360 × nπr oe where n is a positive integer

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Topic: Mensuration, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source: O-Level Mathematics, May/June 2016 Paper 1 Variant 2, question 24.

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