Foundation June 2025 Paper 3 Q25
25 Construct the perpendicular from the point P to the line AB.
Show all of your construction lines.
[2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Ruled line through P and perpendicular to AB constructed with correct arcs (one pair intersecting AB) | 2 | B1 for correct arcs (one pair intersecting AB) only but no line or for correct ruled line but no, or incomplete, construction arcs  | Condone dotted lines Set protractor to \(90^\circ\) and check \(88^\circ\) to \(92^\circ\) at AB Correct construction arcs as shown (may be two pairs of arcs used to draw line through P) Ignore other arcs if correct arcs clearly used to construct line Condone perpendicular extending beyond AB but must pass through P and reach AB (no daylight) Alternative (eg constructing a kite) Arc centred on A length AP and arc centred on B length BP meeting below AB (may also pass through P). Candidates may use points on AB other than A and B for this construction. In such cases check radii of arcs using on-line ruler to judge. See appendix for exemplars |
Appendix
Question 25
| Response | Mark | |
|---|---|---|
| A |  | Scores 2 This is a correct alternative method for arcs centred on A and B Use overlay to see arcs lie within circles (We can also check using on-line ruler) Candidates may use points on AB other than A and B for this construction. In such cases check radii of arcs using on-line ruler to judge. |
| B |  | Scores 2 This is the main method not the alternative. Arc from P intersects AB at B and another point. Red arc from B intersects the arc from that other point. |
| C |  | Scores 2 There is an arc from B through P. Another arc passes through P but its centre on AB is not identified - perhaps a small compass hole on the hard copy? This arc should have symmetry in line AB. This may need to be confirmed using the ruler tool. |
| D |  | 0 marks Only one correct (pair of) arcs (One arc centred on P and cutting AB twice) and inaccurate line. |
| E |  | 0 marks No valid sets of arcs nor a correct line |