Functional Skills Mathematics - … · Page 4 of 16 Functional Skills Maths Level 1 – AC - Sample Section A – Training for a Race Imran is training for a 10 kilometre race. 1

Functional Skills Mathematics

Level 1 - Sample

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Paper Ref: FSML1AC/P

Time: 1 hour

30 minutes

Total Marks:

45

Marks Achieved: /45

You must have:

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

mm)

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.

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Page 4 of 16 Functional Skills Maths Level 1 – AC - Sample

Section A – Training for a Race

Imran is training for a 10 kilometre race.

1. He asks his friend Ben, for some training advice.

This is Ben’s advice:

Based on Ben’s advice, draw a table to show a training plan for the

first week of Imran’s training.

The table should show the days of the week and the total distance he should

run on each of his training days.

(4 marks)

For the first week of training, you should run 4 times. Your training runs

should cover a total distance of 20–25km in that week.

Your first run should be short - no more than 3km. For every run that is less

than 5km, you must do 3 runs of more than 5km. You must have a rest day

after your longest run.

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2. Imran goes to his local athletics track to train for the race.

One lap of the track is 400 metres.

Imran wants to run 6km.

Ben says he needs to run 16 laps of the track to run 6km.

Is Ben correct?

You must show your working. (4 marks)

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3. Imran looks at a running website.

It advises this formula to calculate ‘target training pace’.

Target training pace per km = Target time for 10km + 20 seconds 10

Imran’s target time for 10km is 60 minutes.

Using the equation, what is Imran’s target training pace per km?


4. Imran runs for 2km and checks his stopwatch.

This is the time it shows his 2km training run has taken:

Imran thinks his actual training pace is too slow compared to his target training

pace that you found in Q3.

Is Imran correct? Explain your answer.

You must show your working and your reasoning. (3 marks)

12:54

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5. These are Imran’s recent 10km training times (rounded to the nearest

minute):

65, 63, 61, 63, 62 minutes.

Imran knows that his race time is likely to be 2 minutes faster than his training

time.

Based on these training times, how likely is Imran to complete the race in 1

hour?


6. Imran finds some information about last year’s 10km race:

Number of runners: 620 Number of runners completing race in under 1 hour: 192 Imran wants to finish in the top 30% of all runners. Based on last year’s data, would a race time of 60 minutes achieve this?


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7(a) Imran wants to use the 10km race to raise money for charity.

He asks people to sponsor him by giving money for each kilometre he runs.

This is a copy of Imran’s sponsor form:

Name Amount per km (p)

Mum and Dad

30

Rashid

20

Usmah

20

Ben

10

Isaac

5

Jess

15

Imran has three more friends he can ask to be sponsors: Lily, Niall and Javid.

He thinks he can increase the total raised so far by between 50% and 60%

Record his friends’ names on the sponsor form with a suggested amount

per km which would achieve this.


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

Use the box below to show how you could check your answer for Q7(a).

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

to work out your final answer.

Show your check. (2 marks)

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Task B – The Bird Table

Layla works in a Care home. She wants to make

a bird table so that the residents can watch birds

feeding outside.

She finds guidance about making a bird table on a

website.

The website suggests that the table is mounted onto a post.

1. The post should be at least 1 300mm high. It should also be more than 12cm

shorter than the height of the person who will be cleaning it.

Layla will be cleaning it. She is 1.56m in height.

Suggest a suitable height for the post that Layla could use to mount the bird

table on.


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2. Layla finds this piece of wood. She thinks she could use the wood for the top of

the bird table.

The top surface of the wood measures 28cm by 28cm.

The website states that the area of the table should be a minimum of 850cm².

Is this piece of wood a suitable size for Layla to use? Explain why.

You must show your working and your reasoning. (3 marks)

28cm

28cm

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3. One of the residents, George, is a keen birdwatcher. Once the table had been built, he noticed that more birds visit the bird table on cold days.

Layla decides to see if he is correct. She records the air temperature and the numbers of birds visiting the bird table each day. Here is her table:

Day Mon Tues Wed Thurs Fri Sat

Air

temperature

(ºC)

5

1

7

- 2

3

Number of

birds

8

12

6

15

9

3(a) Between Friday and Saturday, the temperature is predicted to drop by 7ºC.

If the temperature does drop by 7ºC, what should Layla record as the

temperature for Saturday?


3(b) George thinks that based on the likely temperature, there could be about

18 birds visiting the bird table on Saturday.

Explain why he may think this. (1 mark)

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4. Layla buys some bird seed to put out on the bird table.

The bag contains 1.8kg of bird seed.

75 grams of bird seed are placed on the bird table each day.

Layla estimates the bag will last for 24 days.

Is Layla correct?


5(a) The bag of bird seed costs £3.99. She wants to have enough bird seed to

last for 12 weeks. The same amount of bird seed is used every day in each full

week. Layla needs to calculate how much the bird seed will cost for 12 weeks.

Using your answer to Q4, how much will the bird seed cost for 12 weeks?

Round up your answer to the nearest £.


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

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

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

to work out your final answer.

Show your check. (2 marks)

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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 - … · Page 4 of 16 Functional Skills Maths Level 1 – AC - Sample Section A – Training for a Race Imran is training for a 10 kilometre race. 1