Higher June 2022 Paper 1 Q11
11 Here are two shapes, P and Q.
Not drawn accurately
How many times bigger is the area of P than the area of Q?
You must show your working. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(20^2\) (\(\times \pi\)) or 400 (\(\times \pi\)) or \(15^2\) (\(\times \pi\)) or 225 (\(\times \pi\)) | M1 | oe |
| \(\dfrac{3}{4} \times 20^2\) (\(\times \pi\)) or 300 (\(\times \pi\)) or \(\dfrac{1}{3} \times 15^2\) (\(\times \pi\)) or 75 (\(\times \pi\)) | M1dep | oe |
| \(\dfrac{3}{4} \times 20^2\) (\(\times \pi\)) or 300 (\(\times \pi\)) and \(\dfrac{1}{3} \times 15^2\) (\(\times \pi\)) or 75 (\(\times \pi\)) | M1dep | |
| 300 (\(\times \pi\)) and 75 (\(\times \pi\)) and 4 | A1 | Accept P = 4Q for 4 SC2 40 (\(\times \pi\)) and 30 (\(\times \pi\)) and 30 (\(\times \pi\)) and 10 (\(\times \pi\)) and answer 3 |
Additional guidance
| Answer 4 with no working | M0A0 |
| Condone inconsistent use of \(\pi\) eg \(300\pi\) and 75 and 4 | M3A1 |
| Condone, for example, \(\pi 400\) for \(400\pi\) | |
| Allow use of a numerical value for \(\pi\) for method marks and for the A mark with answer 4 | |
| Ignore units throughout |