Foundation June 2017 Paper 1 Q16
16 The scale diagram shows the positions of town A and town B.
Scale: 1 cm represents 10 miles
Lucy’s house is nearer to town A than to town B.
Her house is exactly 50 miles from town B.
On the scale diagram show all the possible positions of Lucy’s house.
You must show all your construction lines. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Complete correct arc centred at B identified with full construction shown including either perpendicular bisector of AB (including arcs and intersecting the arc centred at B) or arc(s) of 5cm radius centred at A and intersecting the arc from B at 2 points | 5 | B4 5cm arc centred at B with full construction shown including either perpendicular bisector of AB (including arcs and intersecting the arc centred at B) or arc(s) of 5cm (\(\pm 0.2\) cm) radius centred at A and intersecting the arc from B at 2 points OR B2 for complete arc 5cm (\(\pm 0.2\) cm) centred at B or B1 for arcs 5cm (\(\pm 0.2\) cm) radius centred at B or continuous arc 5cm (\(\pm 0.2\) cm) radius centred at B, but not covering the whole of the required region, minimum span \(30^\circ\) AND B1 for arc[s] centred at A radius 5cm (\(\pm 0.2\) cm) or a perpendicular bisector of AB OR B1 for minimum of 3 points in the correct position without arc from B | B4 is fully correct without the correct locus identified Complete arc for the region required |