Functional Skills Mathematics Level 1 sample assessment Sample paper 2

Functional Skills Mathematics
Level 1 sample assessment
www.cityandguilds.com
November 2011
Version 1.0
Sample paper 2
Candidate Name (First, Middle, Last)
Total marks
Task
Candidate enrolment number
DOB (DDMMYYYY)
Candidate signature
Assessment date (DDMMYYYY)
Centre number
Length of assessment:
1 hour 30 minutes
You should have the following for this assessment
•
•
•
•
•
•
a pen with black or blue ink
a pencil and eraser
a 30cm ruler
graph paper
a calculator
a protractor.
•
You may use a dictionary.
General instructions
• There are 3 tasks to complete.
• Each task is worth 15 marks.
• You should spend an equal amount of time on each task.
• Read through each task carefully.
• Show your working out. You may get marks for it.
• Check your calculations.
• Remember to put units on your answers.
• Write all working out and answers in this booklet.
Total
Mark
Task 1
Takeaway meals
There are 15 marks available for this task.
Introduction
This task is about ordering takeaway meals.
You and your five friends eat together every Saturday evening.
1A
You want to order set meals.
Meal number Type of food Meal for Price of meal 147 vegetarian dishes one person £5.40 148 meat dishes one person £5.60 149 fish dishes one person £5.80 150 vegetarian dishes two people £9.20 151 meat dishes two people £9.40 152 fish dishes two people £9.80 153 vegetarian dishes three people £13.60 154 meat dishes three people £14.00 155 fish dishes three people £14.40 156 vegetarian dishes four people £17.40 157 meat dishes four people £17.60 158 fish dishes four people £18.20 Decide which set meals you will order for yourself and your five friends.
What is the total price of the set meals you chose?
Show your working.
Meal numbers chosen
Set meal menu
Total price
(2 marks)
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1B
You have a voucher.
15% off the price of set meals
How much money will you get off the whole order?
Show your working.
Amount of money off
(2 marks)
1C
What is the total amount to pay for the whole order with the voucher?
Show your working.
Total amount to pay
(1 mark)
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1D
Make a table to summarise your order. Include the
• set meal numbers
• quantity of each meal
• prices
• amount of money off
• total amount to pay.
(4 marks)
1E
You and your five friends will share the total cost of the meals equally.
How much money will each person pay?
Show your working.
Each person will pay
(2 marks)
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1F
You order all the meals by telephone at 6:50pm.
3
The restaurant tells you that it will take hour to deliver your order.
4
What time should the order arrive?
Show your working.
Order should arrive at
(2 marks)
1G
Check one of your calculations.
Write your check here.
(2 marks)
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Task 2
Picture frame
There are 15 marks available for this task.
Introduction
This task is about making a picture frame.
2A
Your picture measures 50cm wide by 30cm high.
Draw a sketch to show the measurements of your picture.
Label your sketch.
Draw your sketch here
(2 marks)
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2B
You will make the frame from four pieces of wood cut from one long strip.
The strip is 2.8 metres long. The width of the strip is 5 centimetres.
2.8m long
5cm wide
For the top and bottom of the frame you need to cut two pieces of wood
size to cut each piece in cm = picture width in cm
+ (2 x width of strip in cm)
For the sides of the frame you need to cut two pieces of wood
size to cut each piece in cm = picture height in cm + (2 x width of strip in cm)
Work out the sizes of the four pieces of wood for the frame.
Show your working.
Top piece
Bottom piece
Left side piece
Right side piece
Size (cm)
(3 marks)
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2C
Draw a diagram to show where you will cut the long strip to make the four pieces of wood you
need.
Label your diagram.
(5 marks)
Use graph paper provided
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2D
How much wood will you have left over from the long strip?
Show your working.
Wood left over
(3 marks)
2E
Check one of your calculations.
Write your check here.
(2 marks)
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Task 3
Road survey
There are 15 marks available for this task.
Introduction
This task is about a survey of the town where you live.
3A
You spent one hour walking and counting the problems on roads and paths. You recorded your results on this survey sheet.
seen on main roads Problem seen on lanes seen on streets seen on footpaths Total Potholes Roadworks Damaged road signs Litter Dog fouling Complete the survey sheet with the total seen for each problem.
(2 marks)
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3B
Your friends also did the survey.
They counted the number of problems in different parts of the town.
This table shows their totals.
Survey done by Chris Sophie Martin Chandni Rob Dave Sam You Potholes 12
7
6
8
10
9
8
Problems counted Damaged Roadworks road signs 5
2
2
9
3
1
1
8
1
4
2
10
6
2
Complete the table with your results.
Litter Dog fouling 27
15
18
12
29
17
6
5
3
5
9
5
6
5
(1 mark)
3C
Look at all the results from your survey and your friends’ surveys.
Work out the mean number of problems per survey for
• litter
and
• roadworks.
Show your working.
Mean for litter
Mean for roadworks
(4 marks)
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3D
Last year the National Survey reported that in the town where you live • the mean number of litter problems was 28 per survey • the mean number of roadworks problems was 2 per survey Draw a chart to compare the mean number of problems per survey this year and last year for
• litter
and
• roadworks.
(4 marks)
Use graph paper provided
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3E
Write two comments to compare the information for last year and this year.
Include
• one comment about the litter problems
and
• one comment about the roadworks problems.
(2 marks)
3F Check one of your calculations.
Write your check here.
(2 marks)
End of assessment
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