Foundation June 2022 Paper 1 Q11
11 120 new homes are built in a village.
Each home is either a house or a flat.
Each home either has a garage or does not have a garage.
64 of the houses have a garage and 26 of the flats have a garage.
This frequency tree shows the above information.
(a) \(\dfrac{5}{8}\) of the homes are houses.
Complete the frequency tree. [4]
(b) Show that 75% of the homes have a garage. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 75 11 45 19 | 4 | B1 each correct OR B1 for 75 B1 FT for 45 B1 FT for 11 and 19 | Mark to candidate’s advantage, ie B1 each correct or part marks including possible FT Negative numbers will not score. Values must be integers. |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(64 + 26 = 90\) and \(\dfrac{90}{120} = 75\%\) nfww OR \(120 \times 0.75 = 90\) and \(64 + 26 = 90\) oe | 2 | M1 for \(64 + 26 = 90\) OR M1 for \(120 \times 0.75 = 90\) OR M1 for \(\dfrac{90}{120} = 75\%\) nfww | Accept \(\dfrac{3}{4}\) for 75% Allow equivalent methods using 25% or \(\dfrac{1}{4}\) for M1 or 2 If using 25% for 2 marks they must also show 100% – 25% = 75% oe Breakdown methods must be complete and correct Do not accept e.g. 0.75 of 120 Do not accept e.g. 75% \(\times\) 120 Do not accept 75% for 0.75 or \(\dfrac{75}{100}\) as this is a show that question |