4MA0 Foundation June 2014 Paper 1R Q5
5 The diagram shows a quadrilateral \(PQRS\) on a centimetre grid.

(a) Write down the coordinates of \(R\). (1)
(b) Write down the coordinates of \(P\). (1)
(c) What is the mathematical name of the quadrilateral \(PQRS\)? (1)
(d) Measure the length of the side \(PQ\).
Give your answer in centimetres to 1 decimal place. (1)
Give your answer in centimetres to 1 decimal place. (1)
(e) Find the perimeter of the quadrilateral \(PQRS\).
Give your answer in centimetres to 1 decimal place. (2)
Give your answer in centimetres to 1 decimal place. (2)
(f) Work out the area of the quadrilateral \(PQRS\). (2)
| Scheme | Marks |
|---|---|
| (3, 2) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| (−4, −2) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| trapezium | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 6.4 | B1 |
| (1) |
Notes
B1: Allow 6.3 to 6.5 inclusive.
| Scheme | Marks |
|---|---|
| 2 + 4 + 7 + “6.4” | M1 |
| 19.4 | A1 |
| (2) |
Notes
M1: “6.4” denotes ft from (d)
A1: ft from (d)
| Scheme | Marks |
|---|---|
| \(\tfrac{1}{2}(2 + 7)4\) or \(2 \times 4 + \tfrac{1}{2} \times 5 \times 4\) or \(7 \times 4 - \tfrac{1}{2} \times 5 \times 4\) or 8 + 10 | M1 |
| 18 | A1 |
| (2) | |
| (Total 8 marks) |
Notes
A1: cao