Edexcel On-screen Mathematics Functional Skills Pilot Level 2

Transcription

Edexcel On-screen Mathematics Functional Skills Pilot – Level 2
Edexcel On-screen Mathematics Functional Skills Pilot
Sample 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
8 cm
Not to scale
20 cm
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
C
Which 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.
80
70
60
50
Number
(millions)
40
30
20
10
0
1998 1999 2000
2001 2002
2003 2004 2005
2006 2007 2008
Year
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
40% of mobile phone users took pictures on their
phones.
75% of all mobile phone users were ‘pay as you go’
customers.
The number of people over 65 using a mobile phone
between 2005 and 2008 increased by one fifth.
Source for data: http://comment.ofcom.org.uk/cmr08/
False
Not enough
information
(1 mark)
(1 mark)
(1 mark)
10. David’s phone bill includes the cost of:
mobile phone calls
using the internet
calls 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)
The screen
Task 2: Recycling
11. The diagram shows the percentage of all of the different types
of waste materials produced by a typical household in the UK.
metal
7%
plastic
10%
cardboard
paper
12%
30%
organic waste
glass
33%
%
What percentage of the waste materials is glass?
Type in the missing percentage in the box.
(1 mark)
source for data: http://www.recycling-guide.org.uk/rrr.html
12. The dimensions of a wheelie bin are shown on the diagram.
width 50 cm
depth 50 cm
height 96 cm
Calculate the volume of the wheelie bin.
cm3
(1 mark)
Give your answer in litres.
1000 cm3 = 1 litre
litres
(1 mark)
The 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%.
1
2
1
3
1
4
1
33
(1 mark)
14. When glass is recycled, it is separated into different colours.
A recycling bin contains the following glass bottles:
12 green
8 clear
4 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.
1
2
1
4
1
5
1
6
1
8
(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
16%
12.5%
increase
C
A
decrease
B
D
E
F
G
H
1%
6.5%
8% 10%
14% 15%
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
Most of these supermarkets used fewer plastic
bags in 2006 than in 2005
(1 mark)
(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
21. This chart shows the number of people claiming a disability allowance in
the UK for different age groups.
26,000
24,000
22,000
20,000
Number 18,000
16,000
of
people 14,000
12,000
10,000
8,000
6,000
4,000
2,000
0
0-4 5-9
1015
1619
2024
2529
3034
3539
4044
4549
5054
5559
6064
6569
7074
Age (years)
7579
80
and
over
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.
Key:
Non-disabled
Swimming
Disabled
Gym
Football
Athletics
Aerobics
Sport
Dance classes
Basketball
Horse riding
Cycling
Tennis
0
10
20
30
40
Percentage of children
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.
3m
25 cm
The top of the play structure is a rectangle.
Not to
scale
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
(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)
Southampton
26. One of the ships sails from Southampton to Gran Canaria.
The ship stops at Porto and Madeira on the way.
Porto
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?
Madeira
Gran Canaria
km
(1 mark)
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.
diameter
Click on the play button to see the wheel rotate once.
One complete rotation is equal to the circumference of the wheel.
Calculate the circumference of the wheel.
Use this formula:
circumference = 3.14 x diameter
m
(1 mark)
How many complete rotations does the wheel make in a 400 m race?
(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
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.
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/
(1 mark)
(1 mark)

Edexcel On-screen Mathematics Functional Skills Pilot Level 2

Transcription

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