Foundation June 2022 Paper 3 Q13
13 The accurately drawn map shows the positions of three points, \(A\), \(B\) and \(C\), in a field.
Scale: 1 cm represents 150 metres
Parveen walks in a straight line from \(A\) to \(B\).
She then walks in a straight line from \(B\) to \(C\).
Susan walks in a straight line from \(A\) to \(C\).
Parveen walks more metres than Susan.
(a) How many more? (3)
(b) Find by measurement the bearing of \(A\) from \(C\). (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 300 | M1 | for a correct method to measure and convert one line to a distance in metres, eg (\(AB =\)) \(5 \times 150\) (= 750 or in the range 720 to 780) or (\(BC =\)) \(4 \times 150\) (= 600 or in the range 570 to 630) or (\(AC =\)) \(7 \times 150\) (= 1050 or in the range 1020 to 1080) or for \(5 + 4 - 7\) (= 2 or in the range 1.4 to 2.6) |
| M1 | for a complete method, eg \(\text{``}750\text{''} + \text{``}600\text{''} - \text{``}1050\text{''}\) or \(\text{``}2\text{''} \times 150\) | |
| A1 | for answer in the range 210 to 390 |
Additional guidance
Accept measurements given in mm instead of cm for the first mark.
Accept measurements given to a tolerance of ±2 mm
Where “750”, “600”, “1050” and “2” have come from their measurements
| Answer | Mark | Mark scheme |
|---|---|---|
| 288 | B1 | for answer in the range 286 to 290 |