4MA0 Foundation June 2015 Paper 1R Q3
3 The diagram shows a quadrilateral \(PQRS\) drawn on a centimetre grid.
(a) Write down the mathematical name of the quadrilateral \(PQRS\). (1)
(b) Measure the length of \(PQ\).
Give your answer in millimetres. (1)
Give your answer in millimetres. (1)
(c) Write down the coordinates of
(i) the point \(P\),
(ii) the point \(Q\).
(2)(d) On the quadrilateral \(PQRS\), draw the line of symmetry. (1)
(e) Work out the area of the quadrilateral \(PQRS\). (2)
| Scheme | Marks |
|---|---|
| Kite | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 52~56 mm inc. | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| (i) Answer: (2,3) | B1 |
| (ii) Answer: (4,-2) | B1 |
| (2) |
| Scheme | Marks |
|---|---|
| Line of symmetry drawn | B1 |
| (1) |
Notes
B1: for line drawn from (4, −2) to (4, 5) (may extend beyond these points)
| Scheme | Marks |
|---|---|
| 2 × 0.5 × 7 × 2 oe or 0.5 × 4 × 2 + 0.5 × 4 × 5 oe | M1 |
| 14 | A1 |
| (2) | |
| Total 7 marks |
Notes
M1: M1 or evidence of counting squares or correct area for any triangle
A1: Alternative: Award B2 for 14 with no working
if not B2 then B1 for \(12 \leqslant \text{area} \leqslant 16\)