key stage 4: maths worksheet

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1 Key Stage 4 2021 2031 2041 2061 140 80 120 60 20 100 40 0 Tourism Agriculture Manufacturing 140 80 120 60 20 100 40 0 1981 1991 2001 2011 2021 Tourism Agriculture Manufacturing Key Stage 4: Maths Worksheet The story of Statistopia 01. Jobs and Business Which sector should business leaders support, to best boost the island’s economy? Business leaders have compiled census information about the island’s three main employment sectors. They have also asked experts to predict how each sector is likely to change in the future. They want to know which sector is predicted to grow and is also likely to provide more jobs over time. Which sector is likely to grow in size and provide more jobs? Answer Notes Chart 1 Employment by sector, thousands Chart 2 Economic sectors by size, £million

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Page 1: Key Stage 4: Maths Worksheet

1Key Stage 4

2021 2031 2041 2061

140

80

120

60

20

100

40

0

Tourism Agriculture Manufacturing

140

80

120

60

20

100

40

01981 1991 2001 2011 2021

Tourism Agriculture Manufacturing

Key Stage 4: Maths Worksheet

The story of Statistopia01. Jobs and Business

Which sector should business leaders support, to best boost the island’s economy?

Business leaders have compiled census information about the island’s three main employment sectors. They have also asked experts to predict how each sector is likely to change in the future. They want to know which sector is predicted to grow and is also likely to provide more jobs over time.

Which sector is likely to grow in size and provide more jobs?

Answer

Notes

Chart 1 Employment by sector, thousands

Chart 2 Economic sectors by size, £million

Page 2: Key Stage 4: Maths Worksheet

2Key Stage 4

02. Health

The Island Health Service wants to identify which age group is least healthy and takes the least exercise.

Identify which age group has both the highest numbers of people who say their health is ‘very poor’ or ‘poor’ and who are most likely to be active for less than 20 minutes a day.

Notes

Answer

Active minutes per day by age group Level of health by age group

Over 65Over 65

55-64

45-54

35-44

18-34

very poor poor ok good very good

55-64

45-54

35-44

18-34

0% 20% 40% 60% 80% 100%

0-10% 11-20 21-30 31-40 41+

0% 20% 40% 60% 80% 100%

Page 3: Key Stage 4: Maths Worksheet

3Key Stage 4

R4

R1

R2

R3

R5

40-49%

50-59%

60-69%

70-79%

80-89%

R4

R1

R2

R3

0-5%

6-10%

11-15%

16-20%

21-25%

R1R3

0-20%

21-40%

41-60%

61-80%

81-100%

R4R2

R1R3

03. Work and education

Which region would most benefit from training programmes to help people enter work?

The government has compiled census data about unemployment and level of education. It has also identified how each region contributes to the number of new jobs created in the past year. For each of these measures, rank the island’s five regions in order. From your rankings, identify which two regions most need the training programmes.

Answer

% of new jobs created unemployement %

R5

school leavers with secondary diploma %

R5

R5

Page 4: Key Stage 4: Maths Worksheet

4Key Stage 4

04. Crime

What programme of support can best reduce levels of crime in Statistopia?

Statistopia’s crime prevention unit has carried out three trial programmes that may help to reduce crime. It wants to find the best correlation between money spent and reduced crime. Add two final points to complete each scatter graph. Identify which graph shows the right correlation.

Answer

4.5

3

4

2.5

0.51

2

3.5

1.5

02 4 6 8 1210

4.5

3

4

2.5

0.51

2

3.5

1.5

02 4 6 8 1210

4.5

3

4

2.5

0.51

2

3.5

1.5

02 4 6 8 1210

‘Back to Work’

Funding Crime

R1 10 0.5

R2 5 2

R3 3 1

R4 2 4

R5 6 2

‘Business Loans’

Funding Crime

R1 8 4

R2 4 1

R3 3 3

R4 5 2

R5 2 1

‘Every Child in School’

Funding Crime

R1 10 0.5

R2 6 2

R3 4 3

R4 3 3.5

R5 2 4

‘Back to Work’ funding and crime level

‘Business Loans’ funding and crime level

‘Every Child in School’ funding and crime level

Page 5: Key Stage 4: Maths Worksheet

5Key Stage 4

Statistopia

Factopolis

Datastan

Statistica

Graphille

15

20

2515

285

male female

80 4060 020 4020 8060

0 - 24

25 - 44

45 - 64

65+

Statistopia

Factopolis

Datastan

Statistica

Graphille

25

20 10 5

30060

male female

40 020 4020 60

0 - 24

25 - 44

45 - 64

65+

05. Communities

Which groups does Statistopia need to make sure it includes in its decision making?

Identify the fastest-growing age group and place of origin in Statistopia’s population.

Notes

Answer

Places of origin 2001 Population by age group 2001, thousands

Places of origin 2021 Population by age group 2021, thousands

Page 6: Key Stage 4: Maths Worksheet

6Key Stage 4

Answer Sheet

Mini Challenge Policy A Policy B

Jobs and Business Support for agriculture Support for tourism

Health 55-64 year-olds Over 65s

Poverty Regions 2 and 3 Regions 2 and 5

Crime ‘Back to Work’ funding ‘Every Child in School’ funding

Communities Over 65s and people from Factopolis 0-24s and people from Statistica