O-LevelMathematicsGeometry4024/11 · Oct/Nov 2021 · Q65 Marks
ABC is a triangle with AC = 5 cm and BC = 7 cm. (a) Using ruler and compasses only, construct triangle ABC. Side AB has been drawn for you. [Figure showing a line segment labeled A and B]
- (a)Using ruler and compasses only, construct triangle ABC.[2]
- (b)Using a straight edge and compasses only, construct the perpendicular bisector of AB.[2]
- (c)A point W lies inside triangle ABC. The point W is closer to A than to B. On your diagram, shade the region in which W lies.[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 (Oct/Nov 2021). The mark or mark type is shown in brackets.
- 6(a) Acceptable triangle with intersecting arcs [2] B1 for acceptable vertex C clearly indicated with no/incorrect arcs If 0 scored, SC1 for reflection of correct triangle with arcs
- 6(b) Acceptable perpendicular bisector of AB with correct arcs [2] B1 for acceptable perpendicular bisector with no/incorrect arcs
- 6(c) Shade inside triangle to left of perpendicular bisector [1] Dependent on at least B1 in (b)
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