1.1 collecting and recording data test

Chapter test Higher – Chapter 1.1

Edexcel GCSE Mathematics B Modular: Assessment Pack 25 © The authors 2010

1.1 Collecting and recording dataTest

Questions in this test are targeted at the grades indicated.

1. A group of people were asked to pick their favourite meal from a list. The two-way table gives information about this:

Italian Chinese Indian Total

Adults 14 10 8

Teenagers 12

Children 8 to 12 6 10 7

Total 28 24

a Complete the two-way table. (1)

b Write down how many people were asked altogether. (1)

2. A garage owner collected the following information about the second-hand cars displayed inside his showroom:

Colour Type of car Engine size Number of seats

Red Hatchback 1200 5

Blue Saloon 900 4

White Sports 2700 2

a Describe the data in each column as qualitative or quantitative. If it is quantitative, state whether it is discrete or continuous data. (2)

b State whether the data is primary or secondary data. (1)

3. Nassim is going to do a survey of the amount of pocket money his classmates get. Draw up a suitable data collection sheet that he could use. (2)

AO3



4. The table shows some information about the number of areas given over to wildlife in six countries:

Country Nature reserves

Wilderness areas

National parks

Protected landscapes

Canada 43 13 319 127

Portugal 2 1 1 13

USA 8 393 171 409

Finland 15 2 26 10

Australia 408 37 376 14

New Zealand 43 9 13 17

a Which country has the highest number of national parks? (1)

b How many more nature reserves has Australia than Canada? (1)

Malcolm says ‘It is obvious from this table that Canada and New Zealand have the same area of land given over to nature reserves.’

c Explain why Malcolm is wrong. (1)

5. A piece of ground measuring 3.5 m by 6.7 m is to be treated with fertiliser. Fertiliser costs 60p per square metre. Work out the cost of fertilising this piece of ground.

Give your answer to the nearest pound. (1)

6. A questionnaire is to be written to find out what people think about the flood defences in their town. Two questions suggested are:

A: ‘Tick one box to show your age group’

Under 20 20 to 40 40 to 60

B ‘What do you think of the flood defences in the town?’

Comment on these questions. (2)

AO2 AO3

D

AO2 AO3

C



7. The tables show part of a train/bus timetable:

Train Bus Train Bus

Preston 09.20 10.00

Lancaster 09.36 10.15

Carnforth 09.46 10.50

Silverdale 09.54 10.00 10.28 11.05

Redmayne 10.25 11.30

Bus Train Bus Train

Redmayne 13.30 15.20

Silverdale 13.56 14.45 16.00 16.05

Carnforth 14.55 16.13

Lancaster 15.06 16.23

Preston 15.21 16.38

Najab is a salesman. He wants to use trains and buses to cover his calls one day. He lives in Preston.

He has the following calls to make:

Half-hour call at Carnforth at 10 am Half-hour call at Redmayne at quarter past 12 midday Quarter-hour call at Silverdale at quarter past 2 pm

Draw up a plan of the times of his journeys so that he gets home as early as possible. (4)

8. Margo is carrying out an investigation into the cost of food at a railway station café. She asks the people in the café:

‘Do you agree that the food served in the café is value for money?’

a Why is her sample likely to be biased? (1)

b Why is her question biased? (1)

9. Write down, with reasons, whether or not the following sampling processes are biased.

A: You want to find out if a drug cures a common illness. You give the drug to a sample of people who have the illness.

B: You want to know the political preferences of the nation. You do a nationwide poll of 5000 randomly selected people. (2)

10. A superstore manager wants to give out a survey to a sample of 25 of its workers. It wants the sample to be a good representation of the workers. The table shows the numbers of workers in each section of the workforce.

Working tills Stacking shelves Office/managers Warehouse

32 24 24 20

Describe exactly how this can be done. (3)

AO2 AO3

C

AO3

C

B

AO2 AO3

A



11. There are 60 members of Mayfield Youth Club. Melvin wants to collect some information from six of them. Investigate how he can do this using the following set of random numbers:

86 13 84 10 07 30 39 65 97 96 88 12 37 26 04 89 (3)

*12. The table shows some information about the cost, in £s, of a holiday in Dubai. The price is per adult. There is a reduction of 20% for children under 12.

Hotel Economy Class Business Class

5 nights 7 nights 5 nights 7 nights

Midas 820 1020 1200 1500

Quatro 740 960 960 1300

Palace 800 980 1100 1350

Cosmo 700 900 900 1250

Max, his wife, Jenny aged 14 years and Tom aged 10 years plan to go to the Palace for five nights travelling Business Class.

a How much will Max pay for this holiday? (1)

b Discuss ways in which Max could reduce the cost of his family’s five-night holiday. (2)

(Total = 30 marks)

AO2

A

AO2 AO3

A

1.1 collecting and recording data test

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