Edexcel On-screen Mathematics Functional Skills Pilot Level 1

Transcription

Edexcel On-screen Mathematics Functional Skills Pilot – Level 1
Edexcel On-screen Mathematics Functional Skills Pilot
Sample Assessment Materials – March 2009
Level 1
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. The pictures show three mobile phones and the year they were made.
A
1974
B
1996
C
2008
Phone B was made in 1996
How many years later was phone C made?
(1 mark)
Phone A weighed 0.5 kg.
How many grams is 0.5 kg?
g
(1 mark)
2. This diagram shows the measurements of one of the first mobile phones.
5 cm
8 cm
20 cm
Not to scale
Click on the calculation that will give the volume of the mobile phone.
20 + 8 + 5
20 × 8 × 5
20 - 8 - 5
20 ÷ 8 ÷ 5
(1 mark)
3. Transmitters are used to send mobile phone signals.
Transmitter mast
The man in the picture is 2 metres tall.
Select the best estimate for the height of the transmitter mast.
2m
5m
10 m
20 m
30 m
(1 mark)
4. This chart shows the number of mobile phones in the UK from 1998 to 2008
80
70
60
50
Num ber of
40
m obile phones 30
(m illions)
20
10
0
1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008
Year
Between which years was there the greatest increase in the number of mobile phones?
click here to choose
(1 mark)
Estimate the number of mobile phones in 2001
million
(1 mark)
Source for data: www.mobilemastinfo.com/information/history.htm
Answer options for part (a): 1998 to 1999, 1999 to 2000, 2000 to 2001, 2003 to 2004, 2005 to 2006, 2007 to 2008
5. 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.
80 minutes of calls are made in January.
What is the total cost of using the phone in this month?
£
(2 marks)
6. This pie chart gives information about David’s phone bill.
Calls made to:
Mobiles
Landlines
Other
Estimate the percentage of calls David made to mobiles.
%
(1 mark)
7. This chart gives information about Lara’s phone bill.
Key:
Peak calls
Off-peak calls
10 am - 12 pm
12 pm - 2 pm
2 pm - 4 pm
Time
4 pm - 6 pm
6 pm - 8 pm
8 pm - 10 pm
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
Cost (£)
What is the total cost of Lara’s off-peak phone calls?
£
(1 mark)
8. This table shows the number of phone calls Lara made over a
three month period.
Month
Number of phone calls
made
January
70
February
48
March
68
What was the mean number of phone calls made per month?
(1 mark)
9. Lara makes calls using a landline and a mobile phone.
The costs for landline calls and mobile phone calls are in the ratio 1:3
Drag the red bar to show this.
Key:
Calls made using a landline
Calls made using a mobile phone
(1 mark)
Task 2: Recycling
10. The diagram shows the percentage of all of the different types
of rubbish produced by a typical household in the UK.
plastic and metal
organic waste
glass
paper
17%
33%
10%
%
What percentage of the rubbish is paper?
Type the missing percentage in the box.
(1 mark)
Source for data: http://www.recycling-guide.org.uk/rrr.html
11. Wheelie bins come in different sizes.
120 litres
12 kg
240 litres
? kg
360 litres
36 kg
Estimate the weight of wheelie bin B.
kg
(1 mark)
12. 60% of the rubbish in the UK that is thrown away could be recycled.
Drag the red dot on the pie chart to show this.
Key:
Cannot be recycled
Could be recycled
(1 mark)
Source for data: http://www.recycling-guide.org.uk/facts.html
13. Some drink cans are recycled.
In the UK, the ratio of recycled to non-recycled cans is about 1 : 2
Drag all 6 cans onto the diagram to show this.
Recycled
Non-recycled
(1 mark)
source for data: http://www.biggreenswitch.co.uk/wastereduction/recycle-tins-and-cans
14. 10% of the rubbish produced by a typical household in the UK is glass.
Click on the fraction that is equal to 10%.
1
2
1
5
1
10
1
100
(1 mark)
15. When glass is recycled, it is separated into different colours.
A recycling bin contains the following glass bottles:
4 brown
8 clear
4 green
One bottle is picked out at random from the bin.
Which of these statements is true?
It is certain that the bottle will be brown.
It is likely that the bottle will be brown.
It is unlikely that the bottle will be brown.
It is impossible that the bottle will be brown.
(1 mark)
16. This poster shows some benefits of recycling.
Recycling Saves
Energy
Recycling one plastic bottle will
power a TV for 3 hours.
Recycling one metal can will
power a light bulb for 2 hours.
How many recycled metal cans are needed to power a light bulb for 10 hours?
(1 mark)
17. Waste that is not recycled is sent to landfill sites where it is buried in the ground.
The amount of organic waste sent to landfill sites between 2003 and 2008 decreased by
Write
1
as a percentage.
5
1
5
%
(1 mark)
18. In 2008, a supermarket gave away 860 000 plastic bags to 4000 customers.
How many plastic bags is this per customer?
(1 mark)
Give your answer to the nearest hundred.
(1 mark)
19. This chart shows the number of plastic bags given out to customers by
four supermarkets in 2007 and 2008
300
Number of
plastic bags
(thousands)
2007
250
2008
200
150
100
50
0
A
B
C
Supermarkets
Which supermarket gave out the most plastic bags in 2008?
D
(1 mark)
Which supermarket showed the biggest decrease in the
number of plastic bags given out between 2007 and 2008?
Altogether, about how many plastic bags were given out
by the four supermarkets in 2007?
(1 mark)
Answer options for part (a): Supermarket A, Supermarket B, Supermarket C, Supermarket D
Answer options for part (b): Supermarket A, Supermarket B, Supermarket C, Supermarket D
Answer options for part (c): 500 000, 600 000, 700 000, 1 200 000, 6 000 000
(1 mark)
20. Some supermarkets charge for plastic bags.
One supermarket sells 500 plastic bags per week and charges 5p per bag.
How much do customers spend per week on plastic bags from this supermarket?
£0.25
£2.50
£25
£250
£2500
(1 mark)
Task 3: Positive Difference
21. This chart shows the number of people getting a disability allowance in the UK for different age groups.
26000
24000
22000
20000
Number
18000
of
16000
people
14000
12000
10000
8000
6000
4000
2000
0
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 80 and
over
Age (years)
Estimate the number of people aged between 50 and 54 getting a disability allowance.
(1 mark)
Source for data: http://www.dsdni.gov.uk/dla
22. The tables show information about disability allowance.
Care
Rate per week
Higher rate
£67.00
Middle rate
£44.85
Lower rate
£17.75
Mobility
Rate per week
Higher rate
£46.75
Lower rate
£17.75
The total disability allowance is made up of an amount for care and an amount for mobility.
Jane receives the higher rate for care and the lower rate for mobility.
What is her total disability allowance per week?
£
(1 mark)
Source for data: http://www.direct.gov.uk/en/DisabledPeople/FinancialSupport/DG_10011925
23. This chart shows some of the sports played by children at school.
Key:
Football
Non-disabled
Disabled
Athletics
Sport
Basketball
Cycling
Tennis
0
10
20
30
Percentage of children
40
Which is the most popular sport for disabled children?
Select it from the list below.
One of the sports is played more by disabled children than non-disabled children.
Select it from the list below.
Source for data: http://www.statistics.gov.uk/CCI/nugget.asp?ID=795&Pos=&ColRank=2&Rank=480
Answer options for part (a): Football, Athletics, Basketball, Cycling, Tennis
Answer options for part (b): Football, Athletics, Basketball, Cycling, Tennis
(1 mark)
(1 mark)
24. This drawing shows a play structure designed for some disabled children.
The top of the play structure is a rectangle.
The length is 3 m and the width is 2 m.
What is the perimeter of this rectangle?
3m
2m
m
(1 mark)
25. The Orange Sailing Trust gives disabled people opportunities to go sailing.
The cost of sailing is £680 per week.
Students pay half this cost.
How much would it cost for a student to go sailing for 3 weeks?
£
(2 marks)
26. One of the ships sails from Southampton to Gran Canaria.
It leaves Southampton on Monday 27 October.
It arrives at Gran Canaria 20 days later.
Complete the missing information to show the day of the week and the date
when the ship arrives at Gran Canaria.
There are 31 days in October.
Departs from
Southampton:
Arrives at
Gran Canaria:
Day: Monday
Date: October 27
Day:
Date:
(1 mark)
(1 mark)
Answer options for part (a): Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday
Answer options for part (b): November 12, November 13, November 14, November 15, November 16,
November 17, November 18, November 19, November 20
Southampton
27. The ship sails from Southampton to Gran Canaria.
It stops at Porto and Madeira on the way.
From
Porto
To
Distance (km)
Southampton
Porto
1200
Porto
Madeira
1218
Madeira
Gran Canaria
473
What is the total distance travelled by the ship?
Madeira
km
(1 mark)
Gran Canaria
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.
04.00 to
08.00
08.00 to
12.00
12.00 to
16.00
16.00 to
20.00
20.00 to
24.00
Mon
Tues
Wed
Thurs
Fri
Sat
Sun
How many hours does Rahima work on Monday?
On which day does Rahima work two shifts?
(1 mark)
Answer options for part (b): Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday
(1 mark)
29. In 2008, David Weir won the men’s London
wheelchair marathon. Sandra Graf won the women’s
London wheelchair marathon.
David Weir crossed the finish line at 1.53 pm.
Sandra Graf crossed the finish line 15 minutes later.
At what time did Sandra Graf cross the finish line?
Type the correct answer in the boxes below.
.
pm
(1 mark)
Source of results: http://results-2008.london-marathon.co.uk
30. Racing wheelchairs are specially designed.
They cost between £595 and £1995
Which calculation can you use to find the range of the racing wheelchair costs?
Click on the correct answer.
1995 - 595
1995 + 595
1995 x 595
1995 ÷ 595
(1 mark)
31. The wheels of a racing wheelchair are 45 cm in diameter.
diameter
Calculate the circumference of the wheel.
Use this formula:
circumference = 3.14 x diameter
cm
(1 mark)
32. The Paralympics is the Olympic games for people with disabilities.
The table shows which countries won the most medals in 2008
Country
Gold
Silver
Bronze
Total
1.
China
89
70
52
211
2.
Great Britain
42
29
31
102
3.
USA
36
35
28
99
4.
Ukraine
24
18
32
74
5.
Australia
23
29
27
79
How many more medals did China win than Great Britain?
(1 mark)
Source for datra: http://www.paralympics.org.uk/
33. An Olympic swimming pool has a length of 50 m and a width of 25 m.
25 m
50 m
What is the area of the Olympic swimming pool?
m2
(1 mark)
34. Use this information to work out the missing numbers in the sentences below:
The length of an Olympic swimming pool is 50 m
Ellie Simmonds won two gold medals for swimming.
One medal was for winning a race of 100 m, which is
lengths of the pool.
(1 mark)
The other was for winning a race of 400 m, which is
lengths of the pool.
(1 mark)

Edexcel On-screen Mathematics Functional Skills Pilot Level 1

Transcription

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