4MA0 Higher June 2014 Paper 4R Q5
5
Diagram NOT accurately drawn
The diagram shows a metal plate in the shape of a rectangle.
The rectangle has length 20 cm and width 12 cm.
Two identical circles, each of diameter 6 cm, have been cut out of the plate.
Work out the area of the shaded region of the metal plate.
Give your answer correct to the nearest cm2.
(4)
| Scheme | Marks |
|---|---|
| \(\pi \times 3^2\) (= \(9\pi\)) (= 28.27...) | M1 |
| 20 × 12 (= 240) | M1 |
| “240” − 2 × “28.27…” | M1 |
| 183 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: rounded or truncated to 3 or more sig figs
M1: dep on M2
A1: for answer in range 183 – 184