Properties of Numbers: WJEC GCSE Numeracy Intermediate June 2018 Unit 1 Q4

Numeracy Intermediate June 2018 Unit 1 Q4

WJECIntermediateCurrent spec6 marksProperties of Numbers Units & Time

(a) 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.

Bus Route 3: Aberglen to Bargwyn 10 minutes, Bargwyn to Caerlow 30 minutes, Caerlow to Derwen 20 minutes

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.

(i) 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

(ii) Dilys arrives at the bus stop in Bargwyn at 09:30.
At what time is the next bus?
Circle your answer. [1]

09:32 09:36 09:39 09:49 09:52

(b) From Grainsey, the Number 6 bus runs to Wyndre and the Number 7 bus runs to Hafgoch.

Map: from Grainsey one route goes to Wyndre and another to Hafgoch

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
(i) 10:13	B1
(ii) 09:36	B1

Mark scheme (b)

Scheme

Marks

Comments

(Leaves Grainsey at )
13(:)00 or 1p.m.

Bus 6	Bus 7
10:20	10:45
10:40	11:30
11:00	12:15
11:20	13:00
11:40
12:00
12:20
12:40
13:00

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, ...