Higher June 2019 Paper 2 Q5
5 Using ruler and compasses, show the region inside the grid that is
less than 4 cm from \(A\)
and
nearer to \(B\) than to \(C\).
Label the region R.
Show all your construction lines. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Arc, centre \(A\), radius 4 cm on grid | B1 | at least a quarter-circle \(\pm\) 2 mm radius ignore any other arcs |
| Correct straight line equidistant from \(B\) and \(C\) | B1 | their line must intersect any two of the five grid vertices (0, 3), (3, 4), (6, 5), (9, 6), (12, 7) \(\pm\) 2 mm |
| Correct enclosed region identified | B1 | \(\pm\) 2 mm for the line at (0, 3), (6, 5) and the arc at (6, 6), (2, 10) region may be identified by labelling R or by shading implies B3 |
Additional guidance
 | B1B1B1 |
| Arc must be drawn using compasses for the first and third marks | |
| If a quarter-circle is in tolerance, ignore the rest of the arc for first B1 | |
| Grid points are based on the origin being bottom left | |
| Use (6, 5) not the intersection of the arc and the line to test the region | |
| Lines may be dotted |