Numeracy Higher June 2019 Unit 1 Q2
2. A builder has drawn a plan for building 3 office blocks on a plot of land.
They are numbered 1, 2 and 3, as shown below.
The scale of the plan is 1 cm represents 20 m.
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
(a) The builder is planning to plant a tree so that it is:
- the same distance from Block 1 as it is from Block 2,
- 80 metres from the top left hand corner of Block 3.
Mark the position for the planting of the tree. [3]
(b) What is the shortest possible distance between Block 2 and Block 3? [1]
…………………… metres
| Scheme | Marks | Comments |
|---|---|---|
| Correct position indicated | B3 | Allow ±2 mm and ±2° throughout Irrespective of any indication of construction correct or otherwise If not indicated, allow for the correct and unambiguous intersection of the perpendicular bisector and the arc If not B3, award: B1 for an arc of radius 4cm in the correct position AND B1 for perpendicular bisector between Block 1 and Block 2 drawn (accept bisector indicated as a short vertical indication at the midpoint between Block 1 and Block 2) |
| Scheme | Marks | Comments |
|---|---|---|
| Answer in the range 102 to 110 (metres) | B1 |