O-LevelMathematicsGeometry4024/12 · May/June 2021 · Q154 Marks
Use a ruler and compasses only in this question. [Figure 15.1]
- (a)(i)Construct the locus of points inside quadrilateral PQRS that are 6 cm from S,[1]
- (a)(ii)equidistant from QP and QR.[2]
- (b)Shade the region inside quadrilateral PQRS containing points that are • more than 6 cm from S and • closer to QR than to QP.[1]
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 (May/June 2021). The mark or mark type is shown in brackets.
- [1] (a)(i) Arc at S radius 6 cm
- [2] (a)(ii) Acceptable angle bisector of Q with correct arcs
- [2] (a)(ii) B1 for acceptable bisector with no/incorrect arcs or short bisector with arcs
- [1] (b) Correct region shaded
- [1] (b) FT their arc from S and their angle bisector from Q
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