Higher June 2017 Paper 6 Q2
2
(a) The scale of a map is 1 cm represents 25 m.
(i) The length of a path is 240 m.
Work out the length, in centimetres, of the path on the map. [1]
(ii) The scale 1 cm represents 25 m can be written in the form 1 : \(k\).
Find the value of \(k\). [1]
(b) The scale drawing represents a park.
Scale: 1 cm represents 25 m
A new play area must be
- no more than 150 m from B
- closer to AD than to CD.
Construct and shade the region where the play area can be positioned.
Show all your construction lines. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) 9.6 | 1 | ||
| (ii) 2500 | 1 | Condone 1 : 2500 | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Arc centre B radius 6 cm meeting AB and CB or AB and bisector of ADC | 2 | B1 for any arc centre B meeting AB and BC or short arc (at least 1cm) radius 6 cm centre B | Accept dashed or dotted for all marks Freehand, all within template, max B1 Allow beyond AB and BC for 1 or 2 marks Tolerance 5.8 to 6.2 cm |
| Ruled bisector of angle ADC to reach BC with construction arcs or Bisector with construction arcs from BC to their arc centre B | 2 | B1 for correct ruled bisector at least 2cm long by eye with no construction arcs or correct construction arcs with no bisector drawn | Tolerance \(\pm 2^\circ\) Construction arcs on AD and on DC and two intersecting arcs from these |
| Correct region shaded | 1 | Dep on B1 and B1 If 0 scored SC1 for 6 [cm] [= 150] [m] seen | |