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Edexcel On-screen Mathematics Functional Skills Pilot – Level 2

Edexcel On-screen Mathematics Functional Skills PilotSample Assessment Materials – March 2009

Level 2

Time allowed: 1 hour 15 minutes.

Answer ALL the tasks and questions.

The total mark for this test is 45.

Use the NEXT and PREVIOUS buttons at the top of the screen to move through the questions.

A calculator has been provided on each screen to help you. To use it, click on the calculator symbol.

You are allowed to use paper to help you with your working. Any paper you use will not be collected.


Task 1: Mobile Phones


1. One of the first mobile phones weighed 1.1 pounds (lbs).

How many grams is 1.1 lbs?

Assume 1 kg is 2.2 lbs.

g

(1 mark)


2. This diagram shows the dimensions of the first mobile phone.

5 cm

20 cm

8 cm

Not to scale

What is the volume of this mobile phone?

cm3

(1 mark)


3. This table shows information about three mobile phones A, B and C.

A B C

Contract 1.5 years 24 months 12 months

Battery life 260 minutes 6 hours 30 minutes 7 hours

Weight 151 g 220 g 0.2 kg

Cost £45.00 £24.00 £50.00

Select A, B or C for each of the following questions.

A B CWhich phone has the shortest contract?

Which phone has the longest battery life?

Which phone weighs the least?

(2 marks)


4. Transmitters are used to send mobile phone signals.

Transmitter mast

The man in the picture is 1.8 metres tall.

Estimate the height of the transmitter mast in metres.

m(1 mark)


5. Transmitters cover a range of 10 km. 2 km

×

2 km

× transmitter

Up Down

Make the diameter of the circle around the transmitter 10 km.

The circle around the transmitter can be changed using the up and down arrow buttons.

(1 mark)


6. This table shows the number of calls made from one phone in 2008

Period Number of calls made

January to March 224

April to June 148

July to August 120

September to December 252

In 2008, what was the mean number of phone calls made per month?

(1 mark)


7. The total cost of using a mobile phone is made up of:

• a fixed monthly charge• the cost of each phone call

The fixed monthly charge for a mobile phone is £20

The cost of each phone call is 5p per minute.

In January the phone is used for a total of 2 hours and 20 minutes.

What is the total cost of using the phone in this month?

£

(2 marks)


8. The bars on this chart show the number of mobile phones in the UK from 1998 to 2008

The line shows the number of people in the UK for the same period.

0

10

20

30

40

50

60

70

80

1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008

Year

Number(millions)

In which year was the number of mobile phones approximately a third of the number of people in the UK?

click here to choose

(1 mark)

Source for population data: http://www.optimumpopulation.org/opt.more.ukpoptable.html

Source for ‘phone data: www.mobilemastinfo.com/information/history.htm

Answer options: 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008


9. Here is some information about the use of phones in the UK in 2008

2 in 5 mobile phone users took pictures on their phones.

The number of ‘pay as you go’ customers decreased by a quarter.

Between 2005 and 2008 there was a 20% increase in the number of people over 65 using a mobile phone.

For each statement tick the correct box to show if it is true, false or there is not enough information to tell.

True Not enough information

False

40% of mobile phone users took pictures on their phones. (1 mark)

75% of all mobile phone users were ‘pay as you go’ customers. (1 mark)

The number of people over 65 using a mobile phone between 2005 and 2008 increased by one fifth. (1 mark)

Source for data: http://comment.ofcom.org.uk/cmr08/


10. David’s phone bill includes the cost of:

mobile phone calls using the internetcalls from a landline

The costs for mobile phone calls, using the internet and calls from a landline are in the ratio 1:1:4

Use this information to drag the red bars to show the correct ratio for these costs.

David’s phone bill

(1 mark)

Edexcel On-screen Mathematics Functional Skills Pilot – Level 2The screen

Task 2: Recycling


organic waste 33%

paper 30%

11. The diagram shows the percentage of all of the different types of waste materials produced by a typical household in the UK.

cardboard 12%

plastic 10%

metal 7%

What percentage of the waste materials is glass?

Type in the missing percentage in the box.

glass %

source for data: http://www.recycling-guide.org.uk/rrr.html

(1 mark)


12. The dimensions of a wheelie bin are shown on the diagram.

Calculate the volume of the wheelie bin. cm3

Give your answer in litres.litres

1000 cm3 = 1 litre

(1 mark)

(1 mark)

depth 50 cm

height 96 cm

width 50 cm

Edexcel On-screen Mathematics Functional Skills Pilot – Level 2The screen

13. 33% of the waste produced by a typical household in the UK is organic waste.

Click on the fraction that is closest to 33%.

331

21

41

31

(1 mark)


14. When glass is recycled, it is separated into different colours.

A recycling bin contains the following glass bottles:

12 green 8 clear4 brown

One bottle is picked out at random from the bin.

What is the probability that the bottle will be brown?Click on the correct answer.

81

51

61

41

21

(1 mark)


15. Some drink cans are recycled.

In the UK, the ratio of recycled to non-recycled cans is about 2 : 3

Drag all 10 cans onto the diagram to show the ratio 2 : 3

Recycled

Non-recycled

(1 mark)


16. This chart shows how the number of plastic bags used in 8 supermarket chains changed from 2005 to 2006

E

16%12.5%

1%6.5%

8% 10%14% 15%

increase

decreaseA B

C D F G H

For each statement tick the correct box to show if it is true, false or there is not enough information to tell.

True False Not enough information

Supermarket A showed the greatest percentage increase in the number of bags used

(1 mark)Most of these supermarkets used fewer plastic bags in 2006 than in 2005

(1 mark)In 2006, supermarket D used fewer plastic bags than supermarket C

(1 mark)

Source for data: http://www.which.co.uk/advice/excess-food-packaging/reduce-plastic-bags/index.jsphttp


17. In 2008, approximately 13 000 million plastic bags were given out by supermarkets in the UK.

In 2008, the population of the UK was 61 million.

How many plastic bags is this per person?

(1 mark)

Give your answer to the nearest hundred.

(1 mark)

Source for data: http://www.which.co.uk/advice/excess-food-packaging/reduce-plastic-bags/index.jsphttp


18. A supermarket chain gave out 14.8 million plastic bags in 2008

It set a target to reduce the number of plastic bags by 25% in 2009

If the target is met, how many plastic bags will be given out in 2009?

million

(1 mark)


19. Some supermarkets now charge for plastic bags.

One supermarket sells 2000 plastic bags per month and charges customers 5p per bag.

How much do customers spend per year on plastic bags from this supermarket?

£

(1 mark)


20. In 2003, the UK set a target to reduce the amount of organic waste going to landfill sites by 50% every 5 years.

If the target set in 2003 is to be met, in what year would the amount of organic waste going to UK landfill sites be 3.75 million tons?

Type the correct year in the box.

Year Organic waste going to UK landfill sites (millions of tons)

2003 30

3.75

(2 marks)

Source for data: http://www.guardian.co.uk/environment/2007/oct/30/waste.recycling


Task 3: Positive Difference


02,0004,0006,0008,000

10,00012,00014,00016,00018,00020,00022,00024,00026,000

0 - 4 5 - 9 10-15

16-19

20-24

25-29

30-34

35-39

40-44

45-49

50-54

55-59

60-64

65-69

70-74

75-79

80andover

21. This chart shows the number of people claiming a disability allowance in the UK for different age groups.

Number of

people

Age (years)

Estimate the total number of children aged under 16 who claim a disability allowance.

(1 mark)

Sourcefor chart data: http://www.dsdni.gov.uk/dla


22. The tables show some information about disability allowance.

Care component Rate per Week

Higher rate £67.00

Middle rate £44.85

Lower rate £17.75

Mobility component Rate per week

Higher rate £46.75

Lower rate £17.75

The total disability allowance is made up of a care component and a mobility component.

Jane receives a total of £64.50 each week for her disability allowance.

Click on the correct row in each table to show the rate she receives for each component.

(1 mark)

Source for data from: http://www.direct.gov.uk/en/DisabledPeople/FinancialSupport/DG_10011925


23. This chart shows some of the sports played by children at school.

0 10 20 30 40

Tennis

Cycling

Horse riding

Basketball

Dance classes

Aerobics

Athletics

Football

Gym

Swimming

Sport

Percentage of children

Non-disabledDisabled

Key:

Which three sports are more popular among disabled children than non-disabled children?

Click on the names of the three sports in the graph.

(1 mark)

Source for data: http://www.statistics.gov.uk/CCI/nugget.asp?ID=795&Pos=&ColRank=2&Rank=480


24. This photograph shows a play structure designed for some disabled children.

The top of the play structure is a rectangle.

9 logs are used for the rectangle. Each log has a length of 3 m and width of 25 cm.

What is the area of this rectangle?

m2

3 m

25 cm

Not to scale

(2 marks)


25. The Orange Sailing Trust gives disabled people opportunities to go sailing.

The cost of going on one voyage is £675

A deposit of 15% needs to be paid.

What is the cost of the deposit?

£

(1 mark)

A group of 3 people book a voyage on the ship.

2 of them are students.

Students only have to pay half the cost.

What is the total cost for the group of 3 people?

£

(1 mark)


26. One of the ships sails from Southampton to Gran Canaria.

The ship stops at Porto and Madeira on the way.

From To Distance (km)

Southampton Porto 1200

Porto Madeira 1218

Madeira Gran Canaria 473

The ship is exactly halfway between Porto and Madeira.How much further does the ship need to sail to get to Gran Canaria?

km

(1 mark)

Southampton

Porto

Madeira

Gran Canaria


27. The distance from Southampton to Gran Canaria is 2891 km.

It takes 20 days to complete the journey.

On average, how many kilometres does the ship sail each day?Give your answer to the nearest kilometre.

km

(1 mark)

The temperature in Southampton when the ship sets sail is -2°C.

The temperature in Gran Canaria when the ship arrives is 19 °C.

What is the difference between the two temperatures?(1 mark)

°C


28. The people who go sailing are given the opportunity to work on the ship.

The blue cells in the table show the times when Rahima works.

Midnight to 4 am

4 am to 8.30 am

8.30 am to 12.30 pm

12.30 pm to 5 pm

5 pm to 9 pm

9 pm to midnight

Day 1

Day 2

Day 3

Day 4

Day 5

Day 6

Day 7

How much longer does Rahima work on day 7 than on day 1?

hours and minutes

(1 mark)


29. David Weir won the London wheelchair marathon in 2008

David Weir took 1 hour 30 minutes to complete the 26 mile race.

What was David Weir’s average speed in miles per hour (mph)?

click here to choose

(1 mark)

Result :http://results-2008.london-marathon.co.uk

Answer options: 0.29 mph, 17.3 mph, 20 mph, 39 mph, 2340 mph


30. The wheels of a racing wheelchair are 0.45 m in diameter.

Click on the play button to see the wheel rotate once.

One complete rotation is equal to the circumference of the wheel.

diameter

How many complete rotations does the wheel make in a 400 m race?

m

Calculate the circumference of the wheel.

Use this formula: circumference = 3.14 x diameter

(1 mark)

(1 mark)


31. The medal table for the 2008 Paralympics is shown.

Number of medals

Country Gold Silver Bronze Number of points

China 89 70 52 459

Great Britain 42 29 31 215

USA 36 9 28

Ukraine 24 18 32 140

Australia 23 27 140 (1 mark)

Some people use a scoring system for medal tables.One way is to give each gold medal 3 points, each silver medal 2 points and each bronze medal 1 point.

(1 mark)

Use the scoring system to find the total number of medals for the USA and the number of silver medals for Australia.

Type the numbers in the boxes.

Source for data : http://www.paralympics.org.uk/

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