4400 Higher November 2007 Paper 3 Q5
5
(a) Calculate the area of a circle of radius 2 m.
Give your answer correct to 3 significant figures. (2)
Give your answer correct to 3 significant figures. (2)
(b) A circular pond has a radius of 2 m.
There is a path of width 1 m around the pond.
Give your answer correct to 3 significant figures. (2)
There is a path of width 1 m around the pond.
Diagram NOT accurately drawn
Calculate the area of the path.Give your answer correct to 3 significant figures. (2)
(c) Calculate the outer circumference of the path.
Give your answer correct to 3 significant figures. (2)
Give your answer correct to 3 significant figures. (2)
| Scheme | Marks |
|---|---|
| \(\pi \times 2^2\) | M1 |
| 12.6 | A1 |
| (2) |
Notes
A1: 12.6 or better
| Scheme | Marks |
|---|---|
| \(\pi \times 3^2 -\) (“12.6” or \(\pi \times 2^2\)) | M1 |
| 15.7 to 15.8 | A1 |
| (2) |
Notes
M1: \(\pi \times 3^2 - \ldots\)
| Scheme | Marks |
|---|---|
| \(2 \times \pi \times 3\) | M1 |
| 18.8 | A1 |
| (2) | |
| (6 marks) |
Notes
M1: allow \(2\pi \times 3 - 2\pi \times 2\) for M1 only
A1: 18.8 to 18.9 (incl)