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 TotalMarks awardedTotal marks available 16 9 15 40

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Theme Parks

This assessment is about Theme Parks.

Complete activities 1, 2 and 3 based on the documents provided for each activity.

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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

TicketOn-the-day

Price Online PriceAdult £18.00Child (4-11 years) £10.00 £8.00Disabled with helper £8.50 £6.80

Family of 4(2 adults & 2 children, 4-11 years) £46.00 £36.40

Group(10 or more)

AdultsNot available

£12.96Children(4-11 years) £7.20

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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:

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:

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THEME PARK HALF TERM SPECIAL OFFER

V O U C H E RONE THIRD OFF INDIVIDUAL ON-THE-DAY PRICES

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

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Diagram of the Theme Park (not to scale)

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.

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Entrance

Shops, guest

services and facilities

Guest facilities

10m11m

44m

18m

Walkway

Standing area

Seating areaIce Rink

Changing rooms and

shop

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:

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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

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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

YearAverage Weekly

Attendance2005 84,2002006 69,7002007 66,8002008 75,5002009 72,5002010 69,900

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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

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Title:

Label:

Label:

85,000

80,000

75,000

70,000

65,0002005 2006 2007 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

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