Numeracy Foundation June 2019 Unit 2 Q10
10.
A survey was carried out to find out how often people used the swimming pool in a sports centre.
The following two questions were asked in a questionnaire.
Q1. How far away from the sports centre do you live?
Q2. How often do you go swimming?
A person answers that they go swimming.
Write a question that could be used to find out how long this person spends in the pool, on average, each time they go swimming.
You must give groups for collecting the data. [2]
Question:
Jamil works at the Hafan Parc swimming pool.
He records the temperature of the water in the pool from 8 a.m. to 11:30 a.m.
Jamil draws the following graph.
Use the graph to answer the following questions about the temperature of the water between 8 a.m. and 11:30 a.m.
For swimming, the most suitable temperature of the water in the pool is between 27°C and 28°C inclusive.
Find the length of time that the water in the pool was most suitable for swimming.
Give your answer in minutes. [1]
The water was most suitable for …………… minutes
| Scheme | Marks | Comments |
|---|---|---|
| (a)(i) Reason, e.g. ‘find out if too far to go swimming’, ‘find out if there is a pool nearby’, ‘interesting to explore between distance people live from the pool and how often they use the pool’ ‘to find out how far people would travel to get to the sports centre’, ‘show relationship between how frequently they go swimming and distance travelled’, ‘see how far people travelled’, ‘to analyse the distance people travelled’, ‘to find out if people who live close by go more often’, ‘distance can affect participation’ | E1 | Allow, e.g. ‘to see whether people close by use the gym more’, ‘shows how far people are willing travel’, ‘people who live close by go more often’, ‘distance affects participation’ Do not accept, e.g. 'not a biased question', ‘anyone can answer it’, ‘it would give a numerical answer’, ‘to see how people go to the sports centre’, ‘data can be grouped’, ‘data can be analysed’ |
| (a)(ii) Difficult to analyse because..., e.g. ‘no categories’, ‘vague (question)’, ‘it is not specific’, 'need time frame', ‘it could be weeks, months, years’ 'don't know what often means', ‘no time period given’, ‘it is an open question’, ‘may not be about swimming in this sports centre’ | E1 | Do not accept, e.g. ‘they may not remember’, ‘they don’t know’, ‘they might not go swimming’ |
| (a)(iii) Appropriate question and at least 3 suitable categories with no gaps or overlaps, e.g. ‘under 20 minutes, 20 minutes to one hour, more than one hour’, ‘1 hour or less, more than 1 hour but less than 2 hours, 2 hours or more’ | B2 | Ignore gaps in continuous data provided not greater than 1 minute Allow 2 suitable groups with the third group as ‘more’ or similar Accept if options do not start at zero, provided the first option starts below 31 minutes Provided an appropriate question is given: Working in minutes allow:
|
| Scheme | Marks | Comments |
|---|---|---|
| (b)(i) 4 (°C) | B1 | (28 – 24 = 4) Do not accept from incorrect working, e.g. 29 – 25 |
| (b)(ii) 36 (minutes) | B1 | Accept answers in the inclusive range 35 minutes to 37 minutes |