Higher November 2018 Paper 1 Q8
8 Kim works at an airport in the UK.
She records the number of planes landing between 10 am and 2 pm each day.
The table shows the data for the first 10 days in January.
| Day | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| Number of planes | 148 | 151 | 147 | 155 | 153 | 147 | 155 | 102 | 151 | 154 |
(a) The airport was affected by fog on one of the days.
Which day do you think it was?
Give a reason for your answer. [1 mark]
(b) Kim uses the data to predict how many planes will land at the airport in a year.
In her method, she
uses an estimate of 150 planes in each 4-hour period throughout the day
assumes the same number of planes each day.
Work out her prediction. [3 marks]
(c) In fact,
fewer planes land in winter than in summer
fewer planes land at night than during the day.
What does this tell you about Kim’s prediction?
Tick one box.
- Her prediction is too low
- Her prediction is too high
- Her prediction could be too low or too high
Give a reason for your answer. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| 8 and lowest (value) or 8 and outlier | B1 | oe Accept 102 for day 8 |
Additional guidance
| 8 and ‘(Only 102 landed whereas) All the other days were over 140’ | B1 |
| 8 and ‘Fewer (less) planes landed (than the other days)’ | B1 |
| 8 and ‘It’s an anomaly’ | B1 |
| 8 and ‘There was a (big) drop / reduction / decrease in the number of planes’ | B1 |
| 8 and ‘There were only 102 planes’ | B1 |
| 8 and ‘It’s low’ or 8 and ‘It’s lower’ or 8 and ‘It’s too low’ | B1 |
| 8 and ‘It doesn’t follow the trend (or pattern)’ | B1 |
| 8 and ‘It reduces a lot that day’ | B1 |
| Ignore a non-contradictory statement with a correct statement eg 8 and It’s the lowest, it dropped by 53’ | B1 |
| Do not award B1 with a numerical error in the statement eg 8 and ‘It’s the lowest by 40’ | B0 |
| 8 and ‘There were 102 planes’ | B0 |
| 8 and ‘There’s a drop of 53 (implies a point to point comparison)’ | B0 |
| 8 and ‘It’s below average’ | B0 |
| 8 and ‘It’s the odd one out’ | B0 |
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(150 \times 24 \div 4\) or \(150 \times 6\) or 900 | M1 | oe |
| their \(900 \times 365\) or their \(900 \times 7 \times 4 \times 12\) or their \(900 \times 7 \times 52\) or 302 400 or 360 000 | M1dep | for 365, allow 336, 360, 364, 366, 370 and 400 |
| 324 000 or 327 600 or 328 500 or 329 400 or 333 000 | A1 | |
| Alternative method 2 | ||
| \(365 \times 150\) or 54 750 or \(365 \times\) any multiple of 150 | M1 | for 365, allow 336, 360, 364, 366, 370 and 400 for 54 750 allow 50 400, 54 000, 54 600, 54 900, 55 500 and 60 000 |
| their \(54\,750 \times 24 \div 4\) or 302 400 or 360 000 | M1dep | |
| 324 000 or 327 600 or 328 500 or 329 400 or 333 000 | A1 | |
| Alternative method 3 | ||
| \(365 \times (24 \div 4)\) or \(365 \times 6\) or 2190 | M1 | for 365, allow 336, 360, 364, 366, 370 and 400 for 2190, allow 2016, 2160, 2184, 2196, 2220 and 2400 |
| their \(2190 \times 150\) or 302 400 or 360 000 | M1dep | |
| 324 000 or 327 600 or 328 500 or 329 400 or 333 000 | A1 | |
| Answer | Mark | Comments |
|---|---|---|
| Ticks ‘Her prediction could be too low or too high’ and explains that fewer landings in winter would make it too low, but fewer landings at night would make it too high or states that the actual numbers are not given | B2 | oe reason B1 ticks ‘Her prediction could be too low or too high’ |
Additional guidance
| Ticks ‘Her prediction could be too low or too high’ and states that there is not enough data | B1 only |