Foundation June 2022 Paper 3 Q10
10 Each edge of a fair spinner is coloured either red or blue.
The scale shows the probability of the spinner landing on red and of landing on blue.
(a) Write down, as a fraction, the probability of the spinner landing on red. [1]
(b) Show that the spinner could not have 15 edges. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{2}{8}\) | 1 | Accept equivalent fractions e.g. \(\dfrac{1}{4}\) or \(\dfrac{4}{16}\) | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(15 \div 4\) oe or \(15 \div 8 \times\) [2 or 6] oe | M1 | No FT as the scale can be used but allow \(15 \times\) (0.25 or 0.75) for M1 | |
| 3.75 oe or 1.875 or 11.25 and recognise not integer | A1 | ||
| OR | |||
| \(\dfrac{R}{R+B} = \dfrac{3}{12}\) and \(\dfrac{4}{16}\) or \(R:B = 3:9\) and 12 sides and \(4:12\) and 16 sides | M1 | May be fractions \(\dfrac{R}{B} = \dfrac{3}{9}\) and 12 sides etc | |
| 15 is missing oe | A1 | If 0 scored, SC1 for 15 is not a multiple of 4 or 8 oe | oe e.g. 4, 8, 12, 16 and 15 is not here |