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© The City and Guilds of London Institute 2015

Functional Skills Mathematics Level 2 sample assessment Sample paper 4

Total marks

Task Mark

Total

You should have the following for this assessment: a pen with black or blue ink a 30cm ruler. You may use a calculator. You may use a protractor. You may use a dictionary. General instructions

There are 3 tasks to complete. You should spend an equal amount of time on each task. Read through each task carefully. Show your working out. Check your calculations. Remember to put units on your answers. Write all working out and answers in this booklet. There are additional pages at the back of this booklet if you run out of space. *I declare that I had no prior knowledge of the questions in this assessment and that I will not divulge to any person any information about the questions.

The actual Level 2 assessment will be 2 hours. There is no imposed time limit for this sample assessment, as it is intended as a teaching/learning tool to help prepare candidates for the actual Level 2 assessment. It is the intention that this sample paper reflects the requirements of a live Level 2 assessment. However, it is recommended that learners are allowed as much time as necessary to complete the whole assessment so that they can experience all three tasks.

www.cityandguilds.com May 2015

Version 1-3

3748-320 - 2 - Sample 4

Task 1 Team building day There are 25 marks available for this task. You should check all your work as you go along. Introduction This task is about organising a team building day at an outdoor activity centre. You need to put employees into two teams, plan activities and work out the cost for the day. Both teams must complete the same activities at the same time and all team members must take part in them. Each employee has a fitness level score. Both teams must have similar combined fitness level scores and include at least one manager.

Employee information

Employees Skills

Employee name

Gender Employee department Swimming

ability

Fitness level score

1 (unfit) - 5 (very fit)

Abbie F Sales manager cannot swim 2

Frank M Sales 2

Isaac M Sales 5

Nita F Administration 2

Alvin M Office manager 3

Lora F Administration 5

Pete M Production manager cannot swim 2

Prita F Production 3

Shilen M Production 4

Ash M Design 5

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Phone message from activity company

We’ve started to plan your team building day from the information you sent us. The day will run from 9:00am – 5:00pm.

It will start with a 30-minute introduction from 9:00am – 9:30am.

It will finish with a discussion and prizes from 4:30pm – 5pm.

Lunch break is from 1:00pm – 2:00pm.

Everyone will do Archery straight after lunch. We will send you our leaflet with all the fun activities we offer so you can pick activities to fill up the rest of the day.

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Activity leaflet

Activities Time allowed (minutes)

Price band

Suitable for non-swimmers

Archery range 60 A Yes

Assault course Rope swings, walls and bridges

90 A Yes

Crate tower building 90 A Yes

Fright wall A 30-metre climbing wall

90 A Yes

Mud flume A downhill ride on a muddy slide

60 A Yes

Paddle boarding Paddle across the lake standing on paddle boards

90 B No

Power Fan A free fall jump

60 C Yes

Quad biking On cross country course

75 B Yes

Raft building 90 B Yes

River zip wire Slide down the wire to the beach

45 A Yes

Wipe out course Water assault course

45 C No

Zorbing Race in a bubble

75 C Yes

Price per person per activity

Price band A – £7.95 Price band B – £9.67 Price band C – £11.50

***15% discount when booking a whole day for more than 8 people***

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1A You need to work out the two teams, the activities and the costs. Plan how to solve this task. Write down your plan, including the steps you will use.

(3 marks)

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1B Carry put your plan to work out the teams, activities and costs.

(11 marks + 2 check marks)

Show your working. You should check your work as you go along. Write down one of your calculation checks.

Check

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1C Make a notice for the noticeboard with a list of the teams and a timetable of all the day’s activities.

(5 marks)

1D Give one reason why you chose your combination of activities.

(1 mark)

Reason

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1E You need to review how well you did the task.

Think about… Explain three of the most important points.

(3 marks)

anything you found difficult

things you might do differently if you had to tackle a

similar problem

any other information that you would have

liked

how your plan and methods worked

how sensible your answers

were

3748-320 - 9 - Sample 4

Task 2 Food vans There are 25 marks available for this task. You should check all your work as you go along. Introduction This task is about organising a food zone for a music festival at a new venue. You need to plan the space for the food zone. The food zone will have vans that sell food and a seating section. 2A Here is a sketch of the planned food zone and an access road. It is not drawn to scale. Draw a scale diagram to show

the outline of the food zone the road the space for the food vans the seating section.

Label your diagram and show your scale. Use the graph paper on the next page.

(9 marks)

Key

Space 4m wide for food vans

Seating section

Road 3m wide

Space for working

10m

12m

46m

28m

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2B You need to show a check of how you used your scale in 2A. Explain how you know one of the lines on your diagram is the correct scaled length.

(2 marks) 2C Food vans will go along the side of the food zone in spaces called pitches. Each pitch needs to be longer than a food van as shown in the diagram. Not to scale You need to work out the length of a pitch. Use this formula to work out the minimum length of a pitch. Round your answer up to the next whole metre to give the length to use for a pitch.

39.37

1.5

Where P = minimum length of pitch in metres

L = length of food van in inches

1 foot = 12 inches

Food van

23 feet 9 inches

Length of pitch

Food van

Write your check here

3748-320 - 12 - Sample 4

(6 marks)

Show your working

Minimum length of pitch _____________________________

Rounded length to use for pitch _____________________________

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2D You need to work out the maximum number of pitches that will fit along the longest side of the seating section.

(3 marks) 2E The organisers claim that the area of the seating section at the new venue is over 50% larger than the seating section at the old venue. The seating section at the old venue was 250m2. Work out the area of the seating section at the new venue. Compare the seating sections at the two venues. State whether the organisers’ claim is true. Explain your decision.

(5 marks)

Show your working

Area of seating section at the new venue _______________________m2

Is the organisers’ claim true? Yes No

Explanation

Show your working

Number of pitches___________________________

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Task 3 New soap There are 25 marks available for this task. You should check all your work as you go along. Introduction This task is about the testing and the promotion of a new liquid soap. You work for a company that wants to introduce a new brand of soap. You carry out a customer survey. You ask volunteers to try the soap and then answer a questionnaire. 3A The questionnaire asks volunteers to rate the soap on a scale of 1(not at all) to 10 (very much).

Questionnaire ratings for the new soap

Volunteer How much do you like the design of

bottle?

How much do you like the fragrance

(smell)?

How clean do your hands feel

afterwards?

A 4 6 7

B 3 7 9

C 6 7 8

D 5 9 6

E 6 8 9

F 3 6 7

G 4 10 10

H 3 2 6

I 4 9 9

J 6 6 10

K 6 10 9

L 6 6 10

M 4 10 9

N 6 7 6

O 4 10 9

P 3 7 7

Q 3 9 6

R 5 6 7

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Work out a suitable average for the scores of the new soap for design of bottle fragrance hands feel clean afterwards.

Explain why the average you used is the most suitable.

(5 marks)

Tick the average you will use Mean Median Mode

Show your working Explanation of your choice of average

Design of bottle _________________________________________

Fragrance _________________________________________

Hands feel clean afterwards _________________________________________

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3B Draw a suitable chart to compare the average rating scores for the new soap for

design of bottle fragrance hands feel clean afterwards.

(5 marks)

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3C Find the range in rating scores for the new soap for

design of bottle fragrance hands feel clean afterwards.

(3 marks)

3D Choose one of your calculations in 3C to show a check. Check it by a different method to the one you used originally.

(2 marks) 3E What does the survey show about the volunteers’ opinions of the fragrance? Make one comment using the average and one comment using the range.

(2 marks)

Show your working

Design of bottle _________________________________________

Fragrance _________________________________________

Hands feel clean afterwards _________________________________________

Comment using the average Comment using the range

Write your check here.

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3F Your company uses money-off vouchers to promote new products. Your manager needs to make decisions about how to spend the advertising budget for money-off vouchers for the new soap. The marketing department gives you this chart showing how many vouchers customers used in previous promotions.

The graph shows the number of vouchers used in the last eight promotions. Promotion 9 will be for the new soap. Extend the trend lines for the different types of voucher. Use your trend lines to predict how many paper vouchers will be used and how many online vouchers will be used in Promotion 9.

(3 marks)

0

500

1000

1500

2000

2500

3000

3500

4000

4500

5000

0 1 2 3 4 5 6 7 8 9

Number of vouchers used

Promotion

Number of vouchers used in the last eight promotions 

Paper vouchers

Online vouchers

Space for working

Paper vouchers _________________________________________

Online vouchers _________________________________________

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3G The company sends out 100 000 paper vouchers for every campaign. Work out the probability that a person who receives a paper voucher for Promotion 9 will use it. Show your result on the probability line.

(4 marks) 3H The company spends the same amount of money to pay for vouchers for each promotion with half spent on paper vouchers and half on online vouchers. Use your results and the graph to recommend to your manager whether you should continue to spend money on paper vouchers for Promotion 9. Explain your answer.

(1 mark)

End of assessment

Should you continue to spend money on paper vouchers? Yes No

Explanation

Show your working Probability ___________________

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Extra space for working out and answers

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