Numeracy Foundation June 2018 Unit 1 Q10
10.
The towns of Aberglen, Bargwyn, Caerlow and Derwen are on Bus Route 3.
The times buses take to travel between each of the towns are shown on the diagram below.

Diagram not drawn to scale
Buses start at Aberglen.
All these buses travel to Derwen, stopping at Bargwyn and Caerlow.
Here is the bus timetable.
| Departing from: | Times |
|---|---|
| Aberglen | First bus leaves at 09:00, then every 13 minutes after this time. |
At what time does the 09:13 bus from Aberglen arrive at Derwen?
Circle your answer. [1]
09:23 09:33 09:43 10:53 10:13

Diagram not drawn to scale
The timetable for these buses is given below:
| Bus Number | To | Times |
|---|---|---|
| 6 | Wyndre | First bus leaves at 10:00, then every 20 minutes after this time. |
| 7 | Hafgoch | First bus leaves at 10:00, then every 45 minutes after this time. |
After 10:00, when will the Number 6 bus and the Number 7 bus next leave Grainsey at the same time? [4]
| Scheme | Marks | Comments |
|---|---|---|
| 10:13 | B1 |
| Scheme | Marks | Comments | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (Leaves Grainsey at ) 13(:)00 or 1p.m.
| B4 | Allow 13:00 p.m. or 1:00 or 1 o’clock B3 for attempt to add 3 hours onto 10:00 (Do not accept 10:00 + 180) OR Listing 9 further times for bus 6 and 4 further times for bus 7 with at most one error in total (FT with that 1 error to check further times) B2 for sight of result (LCM 2 × 2 × 3× 3 × 5 =) 180 (minutes) or 3 hours OR Listing 7 further times for bus 6 and 3 further times for bus 7 with at most one error in total (FT with that 1 error to check further times) OR Listing 5 further times for bus 6 and 2 further times for bus 7 with no errors. B1 for sight of 20 = 2×2×5 with 45 = 9×5 OR for sight of 20 = 4×5 with 45 = 3×3×5 OR for sight of 20 = 4×5 with 45 = 9×5 OR Listing 3 further times for bus 6 and 2 further times for bus 7 with at most one error in total (FT with that 1 error to check further times) OR Listing 20, 40, 60, ... AND 45, 90, 135, ... |