Electrotechnical Inspection and Testing Examination …awarding.theimi.org.uk/Portals/0/Documents/Functional... · Web viewAnswer each question in the space provided on this question

FUNCTIONAL SKILLSMATHEMATICS

LEVEL 2I.D: 501/1437/2

QUESTION AND ANSWER PAPERYOU NEED

This question and answer paper A pen with black or blue ink A pencil and an eraser A ruler marked in mm and cm A protractor A calculator

Do not open this paper until you are told to do so by the Exam SupervisorTHERE ARE FOUR TASKS IN THIS EXAM

Total marks available: 60Try to answer ALL questions

TIME ALLOWED: 1 HOUR 30 MINUTES

INSTRUCTIONS Make sure that your candidate information is entered correctly on this question and

answer paper Make sure that your writing is clear, and show all your working Answer each question in the space provided on this question and answer paper If you use extra paper, make sure that it has your name and candidate number on it

and is securely attached to your question and answer paper At the end of the test, hand this question and answer paper and all notes to the Exam

Supervisor

Candidate Name: ……………………………………………….…………………………

Candidate Number: ..………………………………………………………………………

Centre Code: .………………………………………………………………………………

Functional Skills Mathematics Level 2

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Task 1Linda is going to paint her bedroom.She will paint the walls yellow and the ceiling white.She will apply 2 layers of paint to the walls and 2 layers of paint to the ceiling.

Plan of Linda’s bedroom

Diagram not to scale

The height of the room is 2.55 metres.

Linda can buy paint from the Décor 8 shop or the Paintrite shop. The boxes below give the amounts, the prices and the coverage of the paints from each shop.

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Décor 8Matt Emulsion Paint

Yellow2.5 litres £22.95

White1.0 litre £3.952.0 litres £6.95

1 litre of this paint covers 14 square metres

PaintriteMatt Emulsion Paint

Yellow2.5 litres £21.995.0 litres £39.99

White0.5 litre £3.491.0 litre £5.49

2.0 litres £7.991 litre of this paint covers

12 square metres

Functional Skills Mathematics Level 21 Calculate the amounts of paint that Linda would need from each shop to paint her

bedroom. Ignore the window area in your calculation to allow for wastage of paint.Show your working clearly. Give your answers to two decimal places and statethe units.

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Functional Skills Mathematics Level 2……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………(9

marks)

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Functional Skills Mathematics Level 2Linda uses a special calculator on a DIY internet website to find out how much yellow and white paint she needs from each of the shops. The table below gives the results.

Amount of paint

2 Compare your answers to question 1 with the data from the website. State any differences between the amounts of paint. Give a possible reason for the differences.

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Linda wants to keep her costs as low as possible.

3 From which shop should Linda buy her paint? Explain why she should buy the paint from the shop you have chosen. Show calculations in your explanation.

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Décor 8 (litres) Paintrite (litres)

Yellow 6.0 7.0 White 2.5 2.5

Functional Skills Mathematics Level 2………………… (4 marks)

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KEY:-- - - Walk route....... Boat route

Waterhead

Coniston

TorverBrantwood


Task 2The diagram shows the area around Coniston Water.

Diagram not to scale

On Wednesday 5th May, Steve and Shaun are going to park their car at Brantwood then walk around the lake to Torver. They will take Steve’s dog with them.They want to spend 1½ hours in Torver where they will have lunch.Then they will catch a boat back to Brantwood.

Steve and Shaun have a map with a scale of 1 : 25 000. On the map the distance from Brantwood to Torver is 28 centimetres.They walk at an average speed of 4 kilometres per hour.

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Functional Skills Mathematics Level 2This is the summer timetable for the boat.

Summer 13 Mar to 31 Oct 28 Mar - 3 Oct

10 Jul -5 Sep

Coniston - dep 10.15 11.15 12.05 12.40* 1.05 2.05 3.05 4.05 5.05

Waterhead 10.20 11.20 12.10 12.45 1.10 2.10 3.10 4.10 5.10

Torver 10.35 11.35 12.25 1.00 1.25 2.25 3.25 4.25 5.25

Brantwood 10.50 11.50 12.40 1.15 1.40 2.40 3.40 4.40 5.40

Coniston - arr 11.05 12.05 12.55 1.30 1.55 2.55 3.55 4.55 5.55

* 12.40 sailing does not operate on Tuesdays or Wednesdays; operates from 29 Apr to 19 Sep

only.

1 Work out a time plan for Steve and Shaun.Complete the table below to show the time at each stage of their day out.Show your working.

Stage Time

Leave Brantwood

Arrive Torver

Leave Torver

Arrive Brantwood

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Functional Skills Mathematics Level 2………………………………………………………………………………………………………………………………………………………………………………………………………………………………………….. (8 marks)

Steve and Shaun go to a café in Torver for lunch.This is the menu board.

Lunch menuFood DrinkChicken and ham salad

£5.80 Coffee £2.00

Surf ‘n’ turf salad £6.40 Cappuccino £2.35Goats cheese salad £5.40 Café latté £2.35Sandwiches filled with: Espresso £1.70Ham and mustard £5.25 Hot chocolate £2.20Egg mayonnaise £4.95 Tea £1.75Cheese and tomato £4.95 Fruit juice £1.50Beef and horseradish £5.45 Lemonade/

coke£1.30

Today’s special offers:Buy two salads and get the cheapest one half price.Buy two filled sandwiches and get one fruit juice free.

They want to order one item of food each and one drink each.Shaun is a senior citizen so they will get a 15% discount on the total cost of their lunch.

After lunch they will go from Torver back to Brantwood on the boat. This table shows the prices for an adult ticket.Coniston

£2.10 Waterhead£4.60 £2.40 Torver£6.80 £4.50 £2.30 Brantwood£8.90 £6.70 £4.30 £2.20 Coniston

Senior ticket - ½ price of adult ticket

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Functional Skills Mathematics Level 2 Dog ticket - £1 for any journey

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Functional Skills Mathematics Level 2They need to buy 1 adult ticket, 1 senior ticket and 1 dog ticket.They can spend a maximum of £15 on boat tickets and lunch.

2 Suggest what Steve and Shaun should order for lunch. Check that the total cost of the boat tickets and lunch will not come to more than £15. Show all your calculations including the check.

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Task 3The Body Mass Index (BMI) uses height and weight to estimate how much body fat an adult has.Table A gives an estimate of BMI, from height and weight. Table B shows how adults are classified according to their BMI.

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Table ABody Mass Index (BMI) Table

Height (m)

Weight (kg)

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1.50 1.54

1.58 1.62 1.66

1.70 1.74

1.78

60

27 25 24 23 22 21 20 19

62

28 26 25 24 22 21 20 20

64

28 27 26 24 23 22 21 20

66

29 28 26 25 24 23 22 21

68

30 29 27 26 25 24 22 21

70

31 30 28 27 25 24 23 22

72

32 30 29 27 26 25 24 23

74

33 31 30 28 27 26 24 23

76

34 32 30 29 28 26 25 24

78

35 33 31 30 28 27 26 25

80

36 34 32 30 29 28 26 25

82

36 35 33 31 30 28 27 26

84

37 35 34 32 30 29 28 27

86

38 36 34 33 31 30 28 27

88

39 37 35 34 32 30 29 28

90

40 38 36 34 33 31 30 28


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Functional Skills Mathematics Level 2Shona is 5 feet 8 inches tall. She weighs 12 stones 5 pounds.

1 Which BMI category is Shona in? Show your calculations and explain how you used the BMI table to work out Shona’s BMI.

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2 Calculate how much weight Shona needs to lose in order to be in the Normal weight BMI category. Clearly explain how you worked out your answer.

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Functional Skills Mathematics Level 2………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… (6 marks)

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Functional Skills Mathematics Level 2Shona goes on a diet. She aims to eat 1 200 calories a day.She will divide her 1 200 calories in the ratio 2 : 1 : 3 for breakfast, lunch and dinner.

The table below gives the number of calories per 100g and a typical portion size of different breakfast items.

3 Choose items for Shona’s breakfast. Include something to eat and a drink. The number of calories must be within her breakfast allowance. Show your calculations.

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Functional Skills Mathematics Level 2marks)

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Task 4Aeroplanes emit carbon dioxide (CO2). CO2 emissions from aeroplanes are measured in kilograms per flight.

Lubna sees this graph in a magazine.

Average aeroplane CO2 emissions per passenger

Year

Lubna says ‘The graph shows that the CO2 emissions per passenger in 2000 were double what they were in 2006’.

1 Is Lubna correct? Give a reason for your answer.

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Functional Skills Mathematics Level 2In 1990 experts predicted that in 2010 the average CO2 emissions per passenger would be 250 kilograms.

2 Does the graph suggest that these experts will be correct? Explain your answer.

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This table gives some information about different aeroplanes.

The average CO2 emissions per passenger can be calculated using this formula

C=FS

where C is the average CO2 emissions per passenger in kg F is the average aeroplane CO2 emissions per flight in kg S is the average number of seats used per flight

Lubna works for an international company.Last year she travelled four times on a Boeing 747.This year she will be travelling four times on the Airbus A320.Lubna thinks that by using the Airbus A320 she will more than halve her CO2 emissions.

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Functional Skills Mathematics Level 23 Is Lubna correct? Show working to explain your answer and include a calculation check.

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An airline company owns an old DC10 aeroplane. It wants to replace the old DC10 with a new aeroplane that will produce at least 25% less CO2 emissions per passenger.

4 Which aeroplane do you think the company should choose to replace the old DC10? Show working to explain your answer.

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Functional Skills Mathematics Level 2…………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… (4 marks)

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Functional Skills Mathematics Level 2This scatter graph shows the average amount of fuel used and the average CO2 emissions per flight of the five types of aeroplane shown in the table in question 2.

Average fuel used and CO2 emissions per flight (kg)

5 What type of correlation does the scatter graph show? Explain what this tells you.

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END OF EXAM

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