Foundation June 2023 Paper 2 Q9
9
(a) The cost of a TV streaming service is
£6 per month for the first 4 months
then
£11 per month for the rest of the year.
Work out the total cost for the year. [2 marks]
(b) A TV series has ten episodes.
Nine episodes are each 50 minutes long.
One episode is 1 hour 42 minutes long.
Work out the total length of the series.
Give your answer in hours and minutes. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(6 \times 4\) or 24 or \(11 \times (12 - 4)\) or \(11 \times 8\) or 88 | M1 | oe |
| 112 | A1 |
Additional guidance
| 112.00(p) | M1A1 |
| 112.0 | M1A0 |
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 Works in min or hrs for 9 episodes and 1 episode | ||
| \(9 \times 50\) or 450 or \(9 \times \dfrac{50}{60}\) or \(\dfrac{450}{60}\) | M1 | oe eg \(9 \times \dfrac{5}{6}\) or \(\dfrac{45}{6}\) or \(\dfrac{15}{2}\) or 7.5 |
| \(60 + 42\) or 102 or \(\dfrac{102}{60}\) oe fraction or 1.7 | M1 | 552 or 9.2 implies M1M1 |
| 9 hours 12 minutes | A1 | SC2 9 h 32 min or 6 h 32 min or 9 h 20 min |
| Alternative method 2 Works in min or hrs for 9 episodes and converts to hrs and min | ||
| \(9 \times 50\) or 450 or \(9 \times \dfrac{50}{60}\) or \(\dfrac{450}{60}\) | M1 | oe eg \(9 \times \dfrac{5}{6}\) or \(\dfrac{45}{6}\) or \(\dfrac{15}{2}\) or 7.5 implied by 7 h 30 min |
| 7 h 30 min | M1 | ft conversion of their 450 to hours and minutes if their \(450 \gt 60\) or their \(\dfrac{450}{60}\) to hours and minutes if their \(\dfrac{450}{60} \gt 1\) |
| 9 hours 12 minutes | A1 | SC2 9 h 32 min or 6 h 32 min or 9 h 20 min |
Additional guidance
| 7 h 50 min + 1 h 42 min = 9 h 32 min | SC2 |
| 4 h 50 min + 1 h 42 min = 6 h 32 min | SC2 |
| 9.2 h = 9 h 20 min | SC2 |