Numeracy Foundation June 2017 Unit 2 Q1
1. The chart below shows the road distances between some towns and cities.
The distances are given in miles.
| Abergavenny | |||
| 18 | Newport | ||
| 45 | 53 | Gloucester | |
| 50 | 32 | 36 | Bristol |
Wyn lives in Abergavenny and works in Bristol.
(a) Use the chart to find the road distance from Abergavenny to Bristol. [1]
(b) 
Wyn works in Bristol for 5 days each week.
Each day, he drives to and from work using the route shown on the map.
Diagram not drawn to scale
How many miles, in total, does he travel to and from work each week? [2]
(c) 
One day, Wyn had to use a different route through Gloucester to get to and from work.
Alternative Route
Diagram not drawn to scale
Use the chart to work out how many extra miles Wyn travelled that day.
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| 50 (miles) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| 5×2×50 500 (miles) | M1 A1 | FT ‘their 50’ If no marks awarded, award SC1 for 250 (miles), or an accurate answer to 5×’their 50’ or 7×2×’their 50’ |
| Scheme | Marks | Comments |
|---|---|---|
| Abergavenny to Gloucester 45(miles) Gloucester to Bristol 36 (miles) | ||
| (alternative route distance=) 45 + 36 | M1 | Addition of two distances from the table, with at least one of 45 and 36 included. |
| 81 (miles) | A1 | CAO. Unsupported 81 gets M1 A1. Sight of (extra distance per day = 81 – 50=) 31 or a value for 81 – ‘their 50’ implies M1A1 |
| (extra distance=) (81 − 50) × 2 or equivalent. | M1 | FT ‘their 50’ if first M1 awarded and ‘their 81’ providing first M1 awarded and ‘their 81’ > ‘their 50’ |
| =62 (miles) | A1 | FT if first M1 awarded. If last M1 not awarded, award SC1 for 31 (miles) ISW |