Numeracy Higher November 2016 Unit 1 Q1
1. The scale diagram below shows an Eisteddfod camping field.
The camping field is 100 metres long and 80 metres wide.
A river runs along the side AB.
There is a hedge along AD.
There is a fence along BC.
DC is an opening with access to the Eisteddfod camping field.
There is a hedge along AD.
There is a fence along BC.
DC is an opening with access to the Eisteddfod camping field.
The scale used is 1 cm represents 10 metres.
A barbecue area is to be built on the camping field.
The barbecue area must be
- nearer to the river than to the opening to the Eisteddfod camping field,
- nearer to the river than to the hedge,
- more than 30 metres from the corner of the field where the hedge meets the river.
Draw suitable lines on the diagram and shade the region where the barbecue area could be built. [5]
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
| Scheme | Marks | Comments |
|---|---|---|
| All lines and arcs must be of sufficient length to be able to select the correct region | ||
| Unambiguous straight line from midpoint, ± 2mm, AD towards BC | B1 | Intention of straight line with or without a ruler |
| Unambiguous angle bisector of DÂB ± 2° | B1 | |
| Arc centre A with radius 3cm ± 2mm | B2 | B1 for arc centre A of either insufficient length or tolerance > ± 2mm but <± 5mm, or for an arc with correct radius but centred at B Do not accept if arcs are included at C or D |
| Correct region indicated | B1 | FT provided similar region with an attempt at the horizontal line and the sloping straight line from A, and provided at least B1 awarded for the arc |