Numeracy Foundation June 2022 Unit 1 Q4
4. Gary works at a garage.
This service will take 2 hours.
Mr Morgan will leave his car at the garage before 09:00.
He needs to collect his car before 12:30 on the same day.
Look at the timetable below. The shaded hours show the times when Gary is already booked to service other cars next week.
Gary does not work during his lunch break, which is between 12:00 and 13:00 every day.
When is the earliest that Gary could start the service for Mr Morgan?
Give the day and the time. [2]
Earliest day and time that Gary could start the service:
Day …………… Time ……………
The bonus is £8 for each extra hour he spends servicing cars.
Mr Morgan’s service is the only service added to Gary’s timetable for next week.
Calculate the total bonus that Gary will get in his wages.
You must show all your working. [2]
For each service, 4·5 litres of oil are needed.
Another 6 litres of oil are used for all the other jobs in the garage.
What is the total amount of oil needed on Tuesday? [2]
He is incorrect.
Change 4·5 litres to millilitres. [1]
4·5 litres is the same as …………… millilitres.
Mr Khan would like to have his campervan serviced.
Mr Khan’s campervan is shown in the picture below.
The scale of the picture is 1 cm represents 0·4 m.
Find the actual height of the campervan in metres.
Decide whether or not the campervan will fit under the garage doorway.
You must show all your working. [3]
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
| 1 cm represents 0·4 m |
Actual height of the campervan = …………… metres
Will the campervan fit under the doorway? Yes ☐ No ☐
| Scheme | Marks | Comments |
|---|---|---|
| (i) Wednesday AND 10:00 | B2 | Allow Wednesday AND 10:00 – 11:00 or Wednesday AND 10:00 – 12:00 Award B1 for:
|
| (ii) ((19 + 2 – 15) × 8 =) OR ((21 – 15) × 8=) 48 | B2 | Award B1 for:
|
| Scheme | Marks | Comments |
|---|---|---|
| 4·5 × 7 + 6 37·5 (litres) | M1 A1 |
| Scheme | Marks | Comments |
|---|---|---|
| 4500 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| 6(cm) (±2mm) | B1 | (5·8 (cm) to 6·2(cm)) May be seen or indicated on the diagram or from workings. |
| 6 × 0·4 (m) | M1 | FT ‘their 6’ seen or indicated × 0·4 (m) where ‘their 6’ is between 3 and 9 inclusive. |
| No AND 2·4 (metres) shown | A1 | FT their correctly evaluated 2·4 metres compared with 2·3 metres provided M1 awarded eg 5 × 0·4 (m) = 2(m) and Yes indicated Answer only of 2.4 (m) and any of the measurements below with No indicated gets B1 M1 A1 Measurement of: 5·8 cm gives 2·32 m 5·9 cm gives 2·36 m 6 cm gives 2·4 m 6·1 cm gives 2·44 m 6·2 cm gives 2·48 m If no workings shown and answer not from the list above, award SC1 for:
OR
|