functional skills mathematics...functional skills maths level 1 candidate paper – sample 1 page 1...

Functional Skills Maths Level 1 Candidate Paper – Sample 1 of 17

Functional Skills Mathematics Level 1 - Sample

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Paper Ref:

FSML1SA/P

Time: 1 hour

30 minutes

Marks Available:

45

Marks Awarded: /45

You must have:

A pen with black or blue ink, calculator, HB pencil, eraser, ruler (graduated in cm and

mm)

Marks

Instructions

• Answer all questions.

• Answer the questions in the spaces provided.

Information

• The total mark for this paper is 45.

• The marks for each question are shown in brackets - use this as a guide as to how much time to spend on each question.

• You must show clearly how you get your answers because marks will be awarded for your working out.

• Check your working and your answers at each stage.

• Calculators may be used throughout the paper.


THIS PAGE IS INTENIONALLY BLANK


Section A - Home Design Geri is decorating her studio flat. She plans to use wallpaper on the walls and paint all the woodwork. To help her work out how much wallpaper she will need, she measures the flat and draws herself a diagram. She works out that the floor space is square; it is 5m long and 5m wide. The walls are 3m high. 1. To help her decide how much wallpaper she will need, she starts by working out the area of the four walls. What is the total area of the four walls? You must show your working. (3 marks)

5m 3m

5m

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2. She draws herself a quick plan of one wall.

Geri plans to hang the wallpaper vertically down the wall. The wallpaper she wants to use comes in rolls that are 50cm wide. She realises she will need to cut pieces of wallpaper 3m long. How many pieces of wallpaper (3m long by 50cm wide) will Geri need for one wall? You must show your working. (3 marks)

5m

3m

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3. The wallpaper Geri has chosen is in rolls 10m long and 50cm wide. She wants to use all the wallpaper she buys. She will have joins between each roll on the walls. Geri estimates that she will need to buy 12 rolls of wallpaper to cover all the walls. Is Geri correct? You must show your working and explain your reasoning. (4 marks)

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4. Geri works out she will need enough paint to cover 5m2 of wood. She has already spent a lot on wallpaper, so she wants to buy the cheapest paint that she can. Look at the information below.

Paint Coverage (m2)

Number of times the wood needs to be

painted to cover the old paint (coats)

Cost (per tin)

£

A 6 2 27

B 4 1 32

C 3 2 21

D 5 2 26

E 6 1 48

Which paint should Geri choose? Explain your answer. You must show your working. (4 marks)

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5. Geri has £155 to pay for her wallpaper and paint. In the shop, the total cost of

Geri’s wallpaper and paint should be £180 but Geri has a voucher for 15% discount.

5(a) Does Geri have enough money to pay for her wallpaper and paint if she

uses her 15% discount voucher?

You must show your working. (4 marks)

5(b) You should have checked your calculations throughout the task.

Use the box below to show how you can check your answer for Q5(a).

The method you use for checking must be different from the method you first used

to work out your answer.

Show your check. (2 marks)

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Section B - Café Orders

Mo is working in a café. His manager wants to reduce the amount of wasted food

and increase profits. He asks Mo to monitor the food sold over a week so they can

check this against the amount of food he buys.

Mo starts by looking at the number of sandwiches sold in a week and putting the

daily totals in a spreadsheet.

Sandwiches sold

Monday Tuesday Wednesday Thursday Friday Saturday

153 147 165 172 150 149

1. Mo converts the table into a chart so he can compare the numbers sold more

easily. But he forgets to input the data for Wednesday and Friday.

Complete the chart with the missing data. (2 marks)

130

135

140

145

150

155

160

165

170

175


Number of sandwiches

Day

Number of sandwiches sold in a week

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Mo decides to look at the daily bread order to see if he can reduce food waste. Here’s Mo’s spreadsheet again.

Sandwiches sold


153 147 165 172 150 149

2. First, he looks at the mean number of sandwiches sold each day. The café is

open for 6 days a week.

What is the mean number of sandwiches sold each day?


3. Each sandwich uses two slices of bread.

What is the range of the number of slices of bread needed over a week?


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4. The café currently has 24 loaves of bread delivered every day. There are 13 slices of bread in each loaf. They need to make sure they have enough bread to make their sandwiches but want to waste as little as possible. Look at your answers to Q2 and Q3. What advice about ordering loaves should Mo give to his manager? Explain why. You must show your working and your reasoning. (4 marks)

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Mo decides to look at the profit the café makes for each sandwich sold.

Type of sandwich Cost of

ingredients Price of

sandwich Profit

Ham £1.10 £5.50 £4.40

Chicken £1.15 £5.00

Cheese 90p £4.50

Tuna salad £1.25 £5.75

Breakfast £1.20 £5.50

5. Mo works out the profit for ham sandwiches. Complete the table by filling in the profit for the other sandwiches. Which type of sandwich makes the most profit? You must show your working. (3 marks)

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6. His work colleague, Oskar, looks at Mo’s completed table.

Mo disagrees. He thinks they should try and sell more tuna salad sandwiches if they want to make more profit. Who is correct? Why? You must show your working and give reasons for your answer. (2 marks)

We need to sell more cheese

sandwiches. These are the

cheapest to make. If we sell

more we will make more

profit.

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7. Mo’s manager tells him that the best way to compare profits is to work out the percentage profit for each type of sandwich. He gives Mo this equation:

percentage profit = profit x 100 cost

Currently, the café sells a ham sandwich for £5.50. The ingredients cost £1.10. What is the percentage profit for a ham sandwich? You must show your working. (3 marks) q

8. In one week, the money taken on all sandwiches sold was £4 650. In the following week the money taken on sandwiches decreased by 25%. 8(a) What fraction decrease is this? How much money was taken on sandwiches in the second week? You must show your working. (4 marks)

Fraction decrease:

Amount of money taken in second week:

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8(b) You should have checked your calculations throughout the task.

Use the box below to show how you can check your answer for Q8(a).

The method you use for checking must be different from the method you first used

to work out your final answer.

Show your check. (2 marks)

Question checked is:

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These texts and illustrations have been incorporated into this test paper solely for the

purposes of the examination in accordance with Section 32 of the Copyright, Designs and

Patents Act 1988, as amended by the Copyright and Rights in Performance (Research,

Education, Libraries and Archives) Regulations 2014. No copyright or clearance for any

other use has been obtained or sought.


END OF ASSESSMENT

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functional skills mathematics...functional skills maths level 1 candidate paper – sample 1 page 1...

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