O-LevelMathematicsGeometry4024/12 · Oct/Nov 2024 · Q106 Marks

The scale drawing shows a field ABCDE. The field contains a stage that is a sector of a circle, centre C. The scale is 1 cm to 2.5 m. [Figure with a polygon ABCDE and a sector of a circle with centre C labelled 'Stage']

(a)Find the actual radius of the stage.[2]
(b)The rest of the field is split into two zones, zone 1 and zone 2. Zone 1 and zone 2 do not include the stage. Zone 1 is the region that is nearer to EA than to ED. (i) Using compasses and a straight edge only, construct the boundary between zone 1 and zone 2.[2]
(b)(ii)Shade the region that represents zone 1.[1]
(c)The field is used for a concert. Tickets for the concert cost $30.75 each. Work out the cost of 8 tickets.[1]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

[2] 7 to 8
[2] B1 for radius measured as 2.8 to 3.2 [cm]
[2] or M1 for their radius written and their answer is 2.5× this value
[2] Acceptable bisector of angle AED with correct arcs meeting boundary of stage
[2] B1 for acceptable bisector with no/incorrect arcs
[1] Correct region shaded
[1] FT their angle bisector at E
[1] 246

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