Numeracy Foundation November 2024 Unit 1 Q4
4.
The map below shows part of the coastline and some islands off the coast of Gwynedd.
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
…………… °
…………… °
How far is the lighthouse from Ynys Gwylan-bach?
Give your answer in kilometres.
You must show all your working. [2]
The candela and the lumen are units that can be used to measure light intensity.
Below is a conversion graph.
You can use this graph to make approximate conversions between candelas and lumens for a particular type of light.
For this type of light, complete each of the following statements.
The light from Bardsey Island lighthouse has an intensity of approximately 52 000 candelas.
The light from Strumble Head lighthouse in Pembrokeshire has an intensity of approximately 1 000 000 candelas.
By estimating, complete the following statement.
You must show all your working. [2]
‘The light from Strumble Head lighthouse is approximately …………… times as intense as the light from Bardsey Island lighthouse.’
| Scheme | Marks | Comments |
|---|---|---|
| (i) 045(°) (± 3°) | B1 | Do not accept 45(°) (± 3°) |
| (ii) 243(°) (± 3°) | B1 | |
| (iii) An unambiguous answer of 8 (km) or an answer in the range 7.68 (km) to 8.32 (km) | B2 | This must be an unambiguous answer, do not award if another distance is also given as a final answer, e.g.
|
| Scheme | Marks | Comments |
|---|---|---|
| (i) Answer in the inclusive range 14.45 (lumens) to 14.5 (lumens) | B1 | |
| (ii) Answer in the inclusive range 1.07 (candelas) to 1.075 (candelas) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| Any value in the range 19 to 20 | B2 | Accept from reverse working Answer space takes precedence, if blank allow an unambiguous embedded answer in the range B1 for sight of unambiguous appropriate working, e.g. any of the following examples or similar:
|