Page 72 - Mathematics Coursebook

End of unit review

End of unit review

1 In a survey, which units would you use to measure:
a the distance a person can swim in 10 minutes
b the length of time a person takes to have a shower?

2 Would you collect primary data or secondary data to answer the following questions?
a Which countries in the world have active volcanoes?
b What is the favourite fruit of students in your class?

3 Should you carry out a survey or an experiment to collect the primary data for these questions?
a How many times does a dice land on ‘6’ when it is rolled 30 times?
b Who is the favourite sports personality of the students in your class?

4 Tara wants to know if the students in her school like to listen to music. She asks five boys and five

girls from each class. Will the results of her survey give a fair result? Give a reason for your answer.
5 Eira asks people in her village to fill in a questionnaire about their local shop.

These are three of the questions she writes.
a Explain why each question is unsuitable.
b Re-write Eira’s questions 2 and 3 to make them suitable for a questionnaire.

1 What is your age? ......................... years
2 Do you agree that the local shop has a good selection of products?
agree strongly agree not sure
3 How many times do you visit the local shop each month?
1–3 times 3–6 times 6–9 times more than 10 times

6 Some people were asked to choose their favourite drink out of tea (T), coffee (C), fruit juice (F)
and water (W). The results are below.
T W F C T W T F C C W W T F C W T W
a Draw a frequency table to show this information.
b What is the most popular drink?

7 Mr Stephens gave his class a mental maths test. On the right are the students’ scores, out of 15.

Score Tally Frequency 12 9 7 8 5 12
1–5 5 11 13 11 14 9

6–10 3 8 5 12 9 8
11–15 15 6 4 15 3 10
Total: 9 8 14 10 6 13

a Copy and complete the grouped frequency table.
b How many students are there in Mr Stephen’s class?
c Can you tell from the frequency table how many students got more than half of the questions
correct? Explain your answer.

6 Planning and collecting data 71