© The City and Guilds of London Institute 2012

Functional Skills Mathematics Level 2 sample assessment Sample paper 3

www.cityandguilds.com June 2012

Version 1.0

Total marks

Task Mark

Total

Candidate Name (First, Middle, Last)

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 20 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.

Functional Skills Mathematics Level 2 – Sample Paper 3

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Task 1 Cycle hire There are 20 marks available for this task. Introduction This task is about a cycling holiday for four adults and two children. You need to hire suitable cycles for 7 days. 1A Children under 4 years old must be seated in a child seat or a trailer. Cycle hire centres need to know the ages and weights of children under 4 years old. One of the children is 3½ years old and weighs 3 stone. The other is 18 months old and weighs 25 pounds.

What is the weight of each child in kilograms?

(3 marks)

1 stone = 14 pounds

1 kilogram = 2.2 pounds

Show your working.

Weight of 3½ year-old child in kilograms

Weight of 18 month-old child in kilograms

Functional Skills Mathematics Level 2 – Sample Paper 3

- 3 - These tables show the hire cost and different types of cycles and child seating from two cycle hire centres.

Centre A

Type of cycle and child seating Suitable for Hire cost per day

Tandem

2 adults not suitable for child seats or trailers

£22.50

Adult cycle

1 adult

£14.50

Child cycle

4 – 12 years old £6.00

Child seat

a child up to a weight of 18kg

£5 fitting charge only (no hire charge)

Trailer

1 or 2 children up to a total weight of 35kg

£17.50

Children under 4 years old must sit in a Child Seat or a Trailer

Centre B Hire cost list

Type of cycle and child seating Per day Per week (7 days)

Tandem ( not suitable for child seats or trailers)

£26.50 £175

Adult cycle £15 £70 per week

Adult cycle Special Hire Offer 2 Adult cycles for £20 per day or £90 per week

Child cycle 4 – 12 years old £8.50 £50

Children under 4 years old must sit in a Child Seat or a Trailer

Child seat for a child up to a weight of 18kg £10 fitting charge only (no hire charge)

Trailer for 1 or 2 children up to a weight of 35kg £15 per day £99 per week

Functional Skills Mathematics Level 2 – Sample Paper 3

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1B Which type or types of seating will you hire for the two children under 4 years old? Give one reason for your decision.

(2 marks) 1C How much would it cost for this seating for 7 days from each cycle centre?

(2 marks) 1D Decide which type(s) of cycle you will hire for the adults. How much would it cost to hire these cycles for 7 days from each cycle hire centre?

(3 marks)

Type(s) of seating Reason

Type(s) and number of cycles

Centre A Centre B

Show your working. Centre A Centre B

Functional Skills Mathematics Level 2 – Sample Paper 3

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1E Draw a table to compare the costs of the cycles and child seating you will hire for the 4 adults and 2 children from Centre A and from Centre B. Include the total cost for each.

(5 marks)

1F Which centre will you hire the cycles and child seating from? Give one reason for your decision.

(1 mark)

Centre Reason

Functional Skills Mathematics Level 2 – Sample Paper 3

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1G Each centre offers a 12.5% discount for paying in advance. You decide to pay in advance. What is the total amount you will pay to the centre you chose?

(2 marks) 1H Check one of your calculations.

(2 marks)

Write your check here.

Show your working. Total amount

Functional Skills Mathematics Level 2 – Sample Paper 3

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Task 2 Summerhouse There are 20 marks available for this task. Introduction This task is about a planning to put a summerhouse in a garden. You work for a company that sells summerhouses. A customer wants a summerhouse. He wants you to build some decking to put the summerhouse on.

2A What are the dimensions of the decking?

(3 marks)

Show your working.

Length

Width

Not to scale

decking

summerhouse

3600mm 2400mm

Sketch plan to show the position of the summerhouse on top of the decking

decking

1.5m

2m

summerhouse

1.5m 1.5m

Functional Skills Mathematics Level 2 – Sample Paper 3

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2B The customer wants the decking and summerhouse in the top right hand corner of the garden. The doors must face south. You have a sketch of the customer’s garden.

Draw a scale plan to show the outline of the customer’s garden. Add the decking and summerhouse to scale on your plan. Use a suitable scale. Label your diagram. Use the graph paper on the page opposite. (10 marks)

15m

.

GARDEN

North

E

S

W

20m

summerhouse

and decking

to go here

Functional Skills Mathematics Level 2 – Sample Paper 3

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Functional Skills Mathematics Level 2 – Sample Paper 3

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2C What is the area of the decking you need for your customer?

(3 marks) 2D

one pack of garden decking covers approximately 13m2 How many packs of decking do you need?

(2 marks) 2E Check one of your calculations.

(2 marks)

Write your check here.

Show your working.

Area

Show your working.

Packs of decking

Functional Skills Mathematics Level 2 – Sample Paper 3

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Task 3 Screen survey There are 20 marks available for this task. Introduction This task is about the time teenagers spend using a computer or watching television. A newspaper claims

A class of 14 year olds recorded how long they spent using a computer or watching television on one day.

Girls Amount of time spent Boys Amount of time spent Joan 6 hours Luke 5 ¾ hours Amanda 90 minutes Chris 6 ½ hours Emily 6½ hours George 9 hours Hazel 7 ½ hours Tyler 9 ½ hours Louise 6 hours 10 minutes Richard 8 hours Tami 6 hours 50 minutes Bradley 5 ¼ hours Natalie 3 ½ hours Pete 8 hours 45 minutes Chandni 6 ½ hours Ken 7 hours 10 minutes Alex 5 hours 50 minutes Sam 7 ¼ hours

3A What percentage of the class spends more than 6.1 hours a day using a computer or watching television?

(3 marks)

‘Teenagers spend on average 6.1 hours a day on a computer or watching TV’

Show your working.

Percentage of class

Functional Skills Mathematics Level 2 – Sample Paper 3

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3B What are the mean numbers of hours spent using a computer or watching television for the • girls • boys • whole class ?

(5 marks)

Show your working

girls

boys

whole class

Functional Skills Mathematics Level 2 – Sample Paper 3

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3C Draw a suitable chart to compare the mean numbers of hours spent using a computer or watching television for the • girls • boys • whole class and the claim made by the newspaper. (5 marks)

Functional Skills Mathematics Level 2 – Sample Paper 3

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3D What is the range of the times spent using a computer or watching television for the • girls • boys • whole class?

(3 marks) 3E Comment on your results and the claim in the newspaper. Include one comment about the mean(s) and one comment about the range(s).

(2 marks) 3F Check one of your calculations.

(2 marks)

End of assessment

Write your check here.

Show your working

girls

boys

whole class

Extra space for working out

Functional Skills Mathematics Level 2 – Sample Paper 3

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