Numeracy Foundation November 2023 Unit 2 Q2
2. Jamil works in Cardiff from Monday to Friday.
He travels by train from Bridgend to Cardiff and back each day.
The table below shows the times of the trains from Bridgend to Cardiff.
| Departs at 07:43 Bridgend [BGN] | Arrives 08:08 Cardiff Central [CDF] |
| Departs at 07:53 Bridgend [BGN] | Arrives 08:13 Cardiff Central [CDF] |
| Departs at 08:22 Bridgend [BGN] | Arrives 08:47 Cardiff Central [CDF] |
| Departs at 08:26 Bridgend [BGN] | Arrives 08:54 Cardiff Central [CDF] |
His office is a 10-minute walk from the station.
What is the latest train that Jamil could catch from Bridgend to be on time for the meeting? [2]
The train that departs from Bridgend at …………………… takes the longest time to travel to Cardiff.
This train takes …………………… minutes to travel from Bridgend to Cardiff.
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Jamil buys his lunch on his way to work every day from Monday to Friday.
Each day, he buys a sandwich, an orange juice and a bag of crisps.
| Caz’s Café Any sandwich £2.49 Orange juice 95p Bag of crisps 80p | Simon’s Sandwiches £3.50 Meal Deal Any sandwich, drink & bag of crisps |
Last week, Jamil bought his lunch from Caz’s Café every day from Monday to Friday.
This week, he plans to buy his lunch from Simon’s Sandwiches every day from Monday to Friday.
In total, how much less will Jamil pay for his lunches this week than he paid last week?
You must show all your working. [4 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| (i) 08:22 or 8:22 (a.m) | B2 | Allow 08:22 a.m Allow 08:22 – 08:47 as an indication that it is the 08:22 train from Bridgend. Allow indication that it is the train that arrives at Cardiff at 08:47 or arrives at Cardiff at 8:47 (a.m) Award B1 for
|
| (ii) (0)8:26 (a.m.) AND 28 mins | B3 | Answer lines take precedence Workings may be seen in or by the table If B3 not awarded: Award B2 for:
|
| Scheme | Marks | Comments |
|---|---|---|
| (Caz’s Café = (£2.49 + 95p + 80p) × 5 or equivalent (£)21.2(0) | M1 A1 | Treat use of 7 days as a misread. (4.24 × 5) If M0 A0 award SC1 for sight of (£)4.24 |
| (Simon’s Sandwiches 3.50 × 5 =) (£)17.5(0) | B1 | |
| (Saving 21.20 – 17.50 =) (£)3.7(0) | B1 | FT ‘their stated or derived 21.20’ – ‘their stated or derived 17.50’ provided at least one mark previously awarded and not any value given in the question used and 2 costs have been stated or calculated and the saving is > 0. Misuse of units can be penalised in OCW |
Alternative
The alternative method is printed in italics in the mark scheme.
2(b) Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| (Saving per day) (£)2.49 + 95(p) + 80(p) – (£)3.5(0) 74(p) or (£)0.74 | M1 A1 | Treat use of 7 days as a misread. (£)4.24 – (£)3.50 Allow for sight of 0.74 or 74 If M0 A0 award SC1 for appropriate sight of (£)4.24 |
| (Savings for the week) 5 × 74(p) (£)3.7(0) | M1 A1 | FT 5 × ‘their 74(p)’ provided M1 previously awarded Misuse of units can be penalised in OCW |
| Scheme | Marks | Comments |
|---|---|---|
| 2(b). Organisation and communication | OC1 | For OC1, candidates will be expected to: • present their response in a structured way • explain to the reader what they are doing at each step of their response • lay out their explanations and working in a way that is clear and logical • write a conclusion that draws together their results and explains what their answer means |
| Writing | W1 | For W1, candidates will be expected to: • show all their working • make few, if any, errors in spelling, punctuation and grammar • use correct mathematical form in their working • use appropriate terminology, units, etc. |