O-LevelMathematicsGeometry4024/11 · May/June 2019 · Q145 Marks
The diagram shows the plan of a garden, ABCD. [Figure of quadrilateral ABCD]
- (a)(i)Use a straight edge and compasses only to construct the locus of points inside ABCD that are equidistant from A and B,[2]
- (a)(ii)Use a straight edge and compasses only to construct the locus of points inside ABCD that are equidistant from CD and AD.[2]
- (b)Stefan wants to plant a tree in the garden. He wants the tree to be • nearer to A than to B and • nearer to CD than to AD. Shade the region inside the garden where Stefan can plant the tree.[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 2019). The mark or mark type is shown in brackets.
- [2] Perpendicular bisector of AB with correct arcs B1 for acceptable bisector with no/incorrect arcs
- [2] Bisector of angle ADC drawn with two pairs of correct arcs B1 for acceptable bisector with no/incorrect arcs
- [1] Correct area shaded FT their reasonable attempts at (a) and (b)
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