4MA0 Higher January 2014 Paper 4 Q7
7 A square hole is cut from a circular piece of card.
Diagram NOT accurately drawn
The square has sides of length 3.2 cm.
The diameter of the circular piece of card is 10 cm.
Work out the area of the shaded region.
Give your answer correct to 3 significant figures.
(4)
| Scheme | Marks |
|---|---|
| 3.2 x 3.2 ( = 10.24) | M1 |
| \(\pi \times 5^2\) ( = 78.5….) { \(\pi\) = 3.14 or better} | M1 |
| \(\pi \times 5^2 - 3.2 \times 3.2\) | M1 |
| 68.3 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: Area of square.
M1: Area of circle, accept awrt 78.5 \(\to\) 78.6 incl.
M1: Intention to subtract areas from correct methods.
A1: Accept awrt 68.3 or 68.4