Sample Paper reference P000120
501/2325/7
NCFE Functional Skills Qualification in Mathematics at Level 1
Time Allowed
2 HOURS
Candidate No:
Ext Ass Ref:
Batch No:
Forename:
Surname:
Centre No:
Please ensure that your personal details above are correct.
You need the following to complete this assessment:


ruler
calculator
Read each document and activity carefully and attempt to answer ALL activities.
Write your answers in the spaces provided and ensure that your writing is
legible.
You should show your workings where appropriate. Space is provided for this
but if extra pages are used, please make sure your name is on them and they’re
securely fastened to this booklet.
At the end of the assessment hand all documents over to the invigilator as
instructed.
DO NOT TURN OVER UNTIL YOU ARE INSTRUCTED TO DO SO BY THE
INVIGILATOR.
For Examiner use only:
Activity number
1
2
3
Total
16
9
15
40
Marks awarded
Total marks available
This page is intentionally left blank
2
Theme Parks
This assessment is about Theme Parks.
Complete activities 1, 2 and 3 based on the documents provided for each
activity.
3
Activity 1
To encourage visitors to book tickets in advance, the theme park has introduced
reduced prices for tickets booked online as shown below.
Theme Park Tickets
Main season
A. A group of 3 adults and 7 children aged 4-11 years plan to visit the theme park.
Calculate how much it would cost the group in total if they booked online rather than
on the day.
Marks available: 4
You must show your working:
4
Your answer:
Show how you would check your answer by estimation without using a calculator:
B. To attract more visitors, the theme park plans to open before the start of the main
season for the February half term.
The theme park has decided on the ticket prices shown in the table below.
For the February half term, all tickets booked online will save 20% off the on-the-day
prices.
Theme Park Tickets
February Half Term
On-the-day
Price
£18.00
£10.00
£8.50
Ticket
Adult
Child (4-11 years)
Disabled with helper
Family of 4
(2 adults & 2 children, 4-11 years)
Group
(10 or more)
£46.00
Adults
Children
(4-11 years)
Online Price
£8.00
£6.80
£36.40
£12.96
Not available
5
£7.20
Calculate the online price of an adult ticket for the February half term.
Marks available: 4
You must show your working:
Your answer:
Show how you would check your answer:
6
C. The theme park’s advertising for the February half term opening states:
THEME PARK HALF TERM SPECIAL OFFER
VOUCHER
ONE THIRD OFF INDIVIDUAL ON-THE-DAY PRICES
Which would be the best buy for a family of 4: to use the voucher and buy individual
tickets on the day OR book a family ticket online?
Marks available: 4
You must show your working:
Your answer:
7
D. The family is travelling by train, arriving at the railway station at 9.40am.
Their train home leaves at 6.00pm.
Bus Timetable
Railway Station to Theme Park
Theme Park to Railway Station
Using the bus service advertised above between the railway station and the theme
park, how long will they be able to spend at the theme park? You must show the
times of the buses that the family will take to and from the theme park.
Marks available: 4
You must show your working:
Your answer:
Total marks available: 16
8
Activity 2
The theme park plans to build an ice rink.
The ice rink measures 15 metres by 20 metres.
The diagram below shows the space available for the ice rink.
Diagram of the Theme Park (not to scale)
Entrance
Shops,
guest
services
and
facilities
Guest
facilities
Walkway
Changing
rooms and
shop
Ice Rink
11m
Seating
area
10m
44m
Standing area
9
18m
The safety rules state that there must be a minimum space of 1.2 metres around the
ice rink to be used as a walkway by spectators.
A. Will the space available for the walkway meet the rules?
Give a reason for your answer.
Marks available: 3
You must show your working:
Your answer:
10
B. The theme park intends to cover the walkway with plastic matting.
The plastic matting is sold in rolls 1.5 metres wide by 15 metres. The rolls cost
£65.99 each.
Calculate the cost of the minimum number of rolls of plastic matting the theme park
needs to buy to protect the walkway.
Marks available: 4
You must show your working:
Your answer:
11
C. The theme park plans to sell advertising space on banners hung on the barrier
between the ice rink and the walkway.
Each banner will be 3.5 metres long and should not go around corners.
Calculate the maximum number of banners that can be fixed around the perimeter of
the skating area.
Marks available: 2
You must show your working:
Your answer:
Total marks available: 9
12
Activity 3
Approximately 6,000,000 people visit theme parks each
year.
A report says that 1 in 10 of the UK population visit theme
parks each year.
The population of the UK is approximately 61.4 million.
A. Is the report correct? Show your calculations to 3 decimal places to support your
answer.
Marks available: 3
You must show your working:
Your answer:
The average weekly attendance at one theme park over the past six years is shown
in the table below.
AVERAGE WEEKLY ATTENDANCES AT THE THEME PARK
Year
2005
2006
2007
2008
2009
2010
Average
Weekly
Attendance
84,200
69,700
66,800
75,500
72,500
69,900
13
B. Complete the bar chart by plotting the remaining attendances and adding the axis
labels and title in the boxes provided.
Marks available: 5 marks
Title:
85,000
80,000
Label:
75,000
70,000
65,000
2005
2006
2007
Label:
14
2008
2009
2010
C. Refer to your bar chart and make one comment about the variation in the average
weekly attendances over the past six years.
Marks available: 1
Your comment:
D. Calculate the range and mean of average weekly attendances over the past six
years.
Marks available: 4
You must show your working:
Your answer:
15
E. Does the mean value you have calculated give a reliable estimate of the likely
attendance during the February half term? Give a reason for your answer.
Marks available: 2
You must show your working:
Your answer:
Total marks available: 15
End of assessment
16