Foundation November 2022 Paper 3 Q17
17 Frankie draws a circle and works out its area, in cm², and circumference, in cm.
The answer for the area is two times the answer for the circumference.
Work out the diameter of the circle.
You must show your working.
.................... cm [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 8 cao with correct working | 4 | M1 for \(\pi r^2\) [=] \(4\pi r\) or \(\pi r^2\) [=] \(2\pi d\) M1 for cancellation by \(\pi\) implied or factorising e.g. \(\pi r(r - 4) = 0\) or \(r(r - 4) = 0\) A1 for [radius =] 4 [and 0] Trials using \(\pi r^2\) and \(4\pi r\) or \(\pi r^2\) and \(2\pi d\) or \(\pi r^2\) and \(2\pi r\) or \(\pi r^2\) and \(\pi d\) M2 for two correct trials with \(r \ne 4\) or two correct trials with first \(r \ne 4\) and then \(r = 4\) or one correct trial with \(r = 4\) or M1 for one correct trial with \(r \ne 4\) A1 for [radius =] 4 If 0 or M1 scored, instead award SC2 for answer 8 cao If 0 scored, instead award SC1 for answer 4 [and 0] | “Correct working” requires evidence of at least M1M1 FT their initial statement if possible Accept \(\pi r^2 = 4\pi r\) followed by \(r^2 = 4r\) as showing cancelling Dependent on M1M1 Must use same value substituted for \(r\) in both formulas Answers required Dependent on M2 or M1 with no working or insufficient working with no working or insufficient working |