Centre Number
For Examiner’s Use
Candidate Number
Surname
Other Names
Examiner’s Initials
Candidate Signature
Question
Mark
1
Functional Skills Certificate
March 2015
2
3
Functional Mathematics
4367
4
5
Level 1
Tuesday 3 March 2015
TOTAL
9.00 am to 10.30 am
For this paper you must have:

mathematical instruments

a copy of the data book (examination)
(enclosed).
You may use a calculator.
Time allowed
 1 hour 30 minutes
Instructions
 Use black ink or black ball-point pen. Draw diagrams in pencil.
 Fill in the boxes at the top of this page.
 Answer all questions.
 You must answer the questions in the space provided. Do not write
outside the box around each page or on blank pages.
 Do all rough work in this book. Cross through any work that you do not
want to be marked.
 State the units of your answer where appropriate.
Information
 The marks for questions are shown in brackets.
 The maximum mark for this paper is 60.
 You may ask for more answer paper, graph paper and tracing paper.
These must be tagged securely to this answer booklet.
 You are expected to use a calculator where appropriate.
 Evidence of checking is specifically assessed in Questions 4(b) and 5(c).
These questions are indicated with a .
Advice
 In all calculations, show clearly how you work out your answer.
(MAR15436701)
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2
Answer all questions in the spaces provided.
1
Orchestra
John is organising a concert.
An orchestra will play the music.
The table shows the number of members in each section of the orchestra.
Woodwind
11
Brass
15
Percussion
2
Strings
64
Each member of the orchestra is paid £300 for the concert.
1 (a)
Show that the total amount paid to the orchestra for the concert is £27 600
[2 marks]
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1 (b)
The costs for the concert are
£27 600 to the members of the orchestra
£6000 for other costs.
John has 2500 tickets to sell for the concert.
He sells the tickets for £20 each.
He says,
“If I sell all the tickets, I will make a profit of at least £18 000”
Is he correct?
You must show your working.
[5 marks]
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4
1 (c)
At the concert the orchestra will play some of these pieces of music.
Piece
Time needed
(minutes)
A
30
B
60
C
50
D
35
E
25
F
40
G
40
H
20
The concert will



start at 7.30 pm
have a 20 minute interval at about 9.00 pm
end between 10.15 pm and 10.30 pm
John wants to start the concert with piece D.
Complete a possible plan for the concert.
Remember to include the interval.
[5 marks]
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5
You can practise on this grid.
Time needed
(minutes)
Start time
End time
35
7.30
8.05
Time needed
(minutes)
Start time
End time
35
7.30
8.05
D
Put your answer on this grid.
D
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7
2
Designer
There is a data sheet for Designer.
I design and make headdresses.
I use flowers of different sizes and colours.
Vicky
2 (a)
Vicky made this headdress.
She wanted to use four times as many small flowers as large flowers.
Did she do this?
You must show your working.
[2 marks]
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2 (b)
Vicky is designing a headdress with 16 flowers.
She wants the headdress to have



only pink flowers (P) and white flowers (W)
3 times as many pink flowers as white flowers
a symmetrical pattern of colours.
Show a possible design on the diagram.
[4 marks]
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Key
P
W
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Pink
White
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Put your answer on this diagram.
Key
P
W
Pink
White
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10
Vicky makes a different headdress.
She uses
18 small flowers
6 large flowers
1 wire frame
1 ribbon.
The table shows the costs.
Cost
Small flowers
40p each
Large flowers
60p each
Ribbon
Wire frame
2 (c)
50p
£1.50
Work out how much it costs Vicky to make this headdress.
[4 marks]
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2 (d)
Vicky sells the headdress for £15.25
She says,
“I have made more than £2.50 profit on this headdress.”
Is she correct?
You must show your working.
[3 marks]
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3
Running Club
Adam is a runner.
I run half marathons.
I want to start training for full marathons.
Adam
Adam ran a half marathon in a time of 2 hours.
3 (a)
Circle Adam’s time in minutes.
[1 mark]
20
3 (b)
60
120
200
You can use these steps to estimate your time, in minutes, to run a full marathon.
Step 1
Double the number of minutes you take to run a half marathon
Step 2
Add on 20 minutes
Estimate Adam’s time to run a full marathon.
Give your answer in minutes.
[3 marks]
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12
Adam joins a running club.
Here are his times, in minutes, for five training runs.
145
3 (c)
129
148
150
128
Work out his average time for the training runs.
[2 marks]
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3 (d)
Work out the range of his times for the training runs.
[2 marks]
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3 (e)
Adam needs to choose a training partner at the running club.
My training partner should have


an average time about the same as mine
a range of times about the same as mine.
Adam
Four other runners at the club did the same five training runs.
Here is some information about their times, in minutes.
Average
Range
Kyle
132
21
Lee
139
34
Matt
141
20
Nadia
149
12
Who is the best training partner for Adam?
Show how you decide.
[2 marks]
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4
Journey
Tom, Dave and Emma live near Newcastle.
They want to visit a friend near Bristol.
They will travel in Tom’s car or in Emma’s car.
4 (a)
The distance is 320 miles each way.
Tom’s car travels 40 miles for each gallon of petrol it uses.
Tom says,
“To travel there and back my car will need 16 gallons of petrol.”
Is he correct?
You must show your working.
[4 marks]
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4 (b)
You can use these steps to change gallons to litres.
Step 1
Multiply the number of gallons by 9
Step 2
Divide the answer by 2
Emma says,
“We will only need 13 gallons of petrol if we travel in my car.”
Convert 13 gallons to litres.
[2 marks]
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Check your answer.
Show how you have done your check.
[1 mark]
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4 (c)
Tom, Dave and Emma will share the cost of petrol equally between all three of them.
Petrol costs £1.28 per litre.
Emma says,
“In my car we should each pay less than £25 for petrol.”
Is she correct?
You must show your working.
[3 marks]
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5
Conference
There is a data sheet for Conference.
Mandy works at Top City Conference Centre.
I have to organise rooms for a conference
for 50 people.
Mandy
5 (a)
Here is a scale drawing of the lecture room Mandy chooses.
Scale
represents 1 m2
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Mandy says,
“This room will hold at least 50 people when in Executive layout.”
Is she correct?
You must show your working.
[5 marks]
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5 (b)
Four different companies are coming to the conference.
The 50 people will be organised into smaller groups.
Company
Number of people
attending
A
24
Equal sized groups in each room
B
10
All in the same room
C
11
At least 2 in each room
D
5
Split into two groups
Mandy says,
“I can use the Elm, Ash, and Birch rooms for the companies.”
Complete the table to show one way she can organise the people.
[6 marks]
You can practise on this table.
Room
Maximum
number of people
Elm
15
Ash
12
Birch
25
Number of people in room
Company
A
Company
B
Company
C
Company
D
Put your answer on this table.
Room
Maximum
number of people
Elm
15
Ash
12
Birch
25
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Number of people in room
Company
A
Company
B
Company
C
Company
D
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5 (c)
Mandy is setting up the Oak room for a different conference.
She wants
seats for exactly 30 people
at least one extra large (XL) table
at least one small (S) table.
Give the sizes of one possible set of tables she could choose.
[3 marks]
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Check that your set of tables has seats for exactly 30 people.
Show how you have done your check.
[1 mark]
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