Functional Skills Mathematics Level 2 sample assessment ......Task Total 1 hour 30 minutes ......

Functional Skills Mathematics Level 2 sample assessment

Sample paper 1

www.cityandguilds.com January 2012

Version 2.0

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 1 1

Task 1 Electricity bill There are 20 marks available for this task.

Introduction

This task is about choosing an electricity supplier.

You share a house with three other people.

You buy electricity from a company called . thriftyfuel

are going to increase their prices by 12%. thriftyfuel

You have to

decide which electricity supplier to use

work out how much each person owes for the last electricity bill.

1A

Here are the prices from five suppliers.

Supplier Estimated annual cost of electricity in year 1

Price promise for year 2

POWER4U £560.98 No increase in the cost of electricity

E-city £526.03 No increase in the cost of electricity

£545.50 None

Leco £524.13 Maximum increase of one-tenth

thriftyfuel £481.27 + 12% None

Which suppliers’ annual cost in year 1 is less than ? thriftyfuel

(3 marks)

Show how you decide

The suppliers are ______________________________________

1


1B

You decide to save money by changing your electricity supplier.

Think about the cost and the price promise.

Which supplier will you choose?

Explain why.

(2 marks)

1C

All bills are shared equally between the four of you.

How much will each of you save in year 1 by changing to this supplier?

(3 marks)

Supplier

Show your working

Saving ____________________

1


Here is a copy of your last electricity bill.

electricity bill Bill for 14 Jul – 13 Oct thriftyfuel

previous meter reading 14 Jul

latest meter reading 13 Oct

units used

pence per unit

charges £

Electricity used 056322 057643 1321 7.835 103.50 Standing charge for 91 days at 9.500p per day

8.65

1321 units @ 7.835p 103.50 Standing charge 8.65 Subtotal 112.15 VAT @ 5.00% 5.61 TOTAL £117.76

1D

You change suppliers 48 days after this bill.

The final meter reading is 058386

Use the standing charge per day and pence per unit in the electricity bill above to work out

the total amount to pay for these 48 days.

Show your working

Total amount to pay ____________________

(6 marks)

1


1E

One person you share the house with has been away for 24 of the 48 days.

You agree not to charge her for the electricity in that time.

How much should each person pay for the final bill?

Show your working

Three people should each pay ______________

The other person should pay ______________

(4 marks)

1F

Choose one of your calculations to show a check.

Check it by a different method to the one you used originally.

(2 marks)

1

The calculation I am going to check is in 1A 1C 1D 1E (Tick one box) Write your check here


Task 2 Selling advertising space

There are 20 marks available for this task.

Introduction

This task is about making a leaflet for a fundraising event.

You raise money by including adverts in the leaflet.

You have to

decide how to place the adverts on the page

work out how much money you will raise.

2A

Three large adverts fit on one page of the leaflet.

They must be placed symmetrically, like this:

Each large advert is 12cm wide and 6cm high.

The full size drawing on the opposite page shows a page of the leaflet.

Show accurately where the adverts should be placed.

Show your working

These heights must be the same.

These widths must be the same.

Advert 1

Advert 2

Advert 3


Full size drawing of a page of the leaflet.

Show accurately on this page where the three adverts should be placed.

(8 marks)

21.0cm

14.85cm


2B

You sell space for small adverts and large adverts.

Put adverts in our leaflet two sizes, two costs

Complete the table to show different combinations of adverts that will

fit on one page of the leaflet.

Number of small adverts

Number of large adverts

0 3

(3 marks) 2C

You want to raise as much money as possible.

Which combination will you use and how much will it raise?

Show your working

___________ small, ___________ large. This will raise____________________

(3 marks)

6cm

£39.25 £64.40

6cm 12cm

6cm

How much

space you get

How much

space you get


Here is information about the small advert again.

2D

A business asks if they can have an advert that is 9cm by 9cm.

It offers to pay the same price per cm2 as the small advert.

Work out how much the business is offering to pay for the advert.

Show your working

Business offering to pay _____________

(4 marks) 2E Choose one of your calculations to show a check. Check it by a different method to the one you used originally.

(2 marks)

How much

space you get

6cm

£39.25

6cm

The calculation I am going to check is in 2C 2D

(Tick one box) Write your check here


This page is internationally blank


Task 3 Doctor’s surgery

There are 20 marks available for this task.

Introduction

This task is about people making an appointment to see the doctor.

Some people have to wait several days so the surgery introduces a new appointment system.

You have to

decide whether the new system is better than the old.

The chart below shows the waiting times for some people who saw the doctor on

9th March, before the new system began.

9th March: Waiting times to see the doctor

Key:

The same day (0 days’ wait)

1 or 2 days’ wait

3 or 4 days’ wait

5 days’ wait

35%

48%

12%

5%


The table and chart below show the waiting times for some people who saw the doctor on

9th April, ten days after the new system began.

9th April: Waiting times (in days) to see the doctor

0 0 1 2 0 0 3 0 5 0

1 3 5 0 0 0 7 0 1 0

0 0 0 2 0

Nu

mb

er

of

pe

op

le

Waiting time (days)

Waiting time to see the doctor 9th April (new scheme)


3A

Complete the information below for the new system.

The new system (9th April)

________ days

What was the mean waiting time?

________ days

What was the median waiting time?

What was the modal value for waiting time?

What was the range?

(3 marks)

(2 marks)

(1 mark)

(2 marks)

The old system (9th March)

The mean waiting time was 1.4 days.

The median waiting time was 1 day.

The modal value for waiting time was 1 day.

The range was 5 days.

________ days

5% of people waited more than 4 days.

What percentage of people waited more than 4 days?

________ % (2 marks)

________ days


3B

Decide whether or not your results in 3A show that the new system has improved waiting

times. Give three reasons for your decision.

(3 marks)

3C

The manager wants to be sure which system is better.

What other information could you collect to help her decide?

(1 mark)

3D

The manager decides to interview one person at random from the people who

saw the doctor on 9th April.

Here are the waiting times again.

9th April: Waiting times (in days) to see the doctor

0 0 1 2 0 0 3 0 5 0

1 3 5 0 0 0 7 0 1 0

0 0 0 2 0

Your decision Reason 1 Reason 2 Reason 3


What is the probability that the person selected waited more than 2 days?

Draw an accurate, labelled probability scale to show your answer.

(4 marks)

3E

Choose one of your calculations to show a check.

Check it by a different method to the one you used originally.

(2 marks)

End of assessment

The calculation I am going to check is in 3A 3D

(Tick one box) Write your check here


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Functional Skills Mathematics Level 2 sample assessment ......Task Total 1 hour 30 minutes ......

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