O-LevelMathematicsGeometry4024/11 · May/June 2018 · Q103 Marks
The scale diagram below shows a barn ABCD. AB = 7 m and BC = 4 m. On the diagram 1 cm represents 1 m. A horizontal rail is attached to the outside wall of the barn from A to B. Jasper is a dog attached to a rope 3 m long. The other end of the rope is attached to the rail and can slide along it. On the diagram, shade the region where Jasper can go. Scale: 1 cm to 1 m. [Figure 10.1]
- On the diagram, shade the region where Jasper can go.[3]
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 2018). The mark or mark type is shown in brackets.
- [3] Correct region shaded
- B1 for line parallel to AB 3 cm away for length of barn
- B1 for 2 correct semicircles radius 3 cm centre A and B
- B1 for region outside barn shaded between line parallel to AB and attempt at two arcs centred A and B
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