Numeracy Higher November 2020 Unit 2 Q3
3. Formula One cars are some of the fastest racing cars in the world.
The cars’ top speeds are up to 375 km/h and their engines are limited to 15 000 rotations per minute.
The Monaco Grand Prix is the shortest Formula One race with 78 laps of the track and a total distance of 260·5 km.
Fernando Alonso won the Monaco Grand Prix in 2007.
He completed the race with an average speed of 155·552 km/h.
‘Top speeds of Formula One cars are up to ………………… mph.’
Give your answer in minutes.
You must show all your working. [4]
Circle your answer. [1]
‘Formula One engines are limited to ………………… rotations per second.’
900 000 250 300 4·17 54 million
- £1 = 1.38 US dollars
- £1 = 1.14 euros
In 2018, the average annual cost of running a Formula One race team was 250 million US dollars.
Complete the following statement.
‘In 2018, the average monthly cost of running a Formula One race team was ………………… million euros.’
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| 375 ÷ 1.6 or 375 × 5 ÷ 8 or equivalent 234(.375 mph) | M1 A1 | Allow use of ÷1.6 to ÷1.613, ×0.62 to ×0.625 Accept 234.4 (mph) Allow 234.3(…mph) |
| Scheme | Marks | Comments |
|---|---|---|
| Method marks can be awarded in any order but the operation must be unique (not contradicted or repeated in the working) | ||
| 260.5 ÷ 78 ÷ 155.552 × 60 | M1 M1 M1 | (Lap distance km) (Average lap time in hours) (Average lap time in minutes) Award M3 for sight of \(\dfrac{260.5 \times 60}{78 \times 155.552}\) |
1.288(.... minutes) | A1 | CAO, accept rounded to 1.29 (minutes) or 1.3 (minutes) or 1 minute 17(.29...) seconds If no marks, award SC1 for equivalent operations used without 260.5 or with use of an incorrect 260.5, i.e. \(\dfrac{60}{78 \times 155.552}\), 60 ÷ 78 ÷ 155.552 or equivalent |
| Scheme | Marks | Comments |
|---|---|---|
| 250 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| Method marks can be awarded in any order but the operation must be unique (not contradicted or repeated in the working) Ignore place value errors in working with ‘millions’ for M marks | ||
| 250 ÷ 1.38 × 1.14 ÷ 12 | M1 M1 M1 | (= £181.1594... million) (= €206.5217... million) Award M3 for sight of \(\dfrac{250 \times 1.14}{1.38 \times 12}\) |
17(.21... million €) | A1 | CAO. Allow final answer written in full. Allow ‘millions’ not written in the answer If no marks, award SC1 for equivalent operations used without 250, i.e. \(\dfrac{1.14}{1.38 \times 12}\) or 1.14 ÷ 1.38 ÷ 12 or equivalent |