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Sample Paper reference P000133
501/2324/5
NCFE Functional Skills Qualification in Mathematics at Level 2
Time Allowed 2 HOURS
Candidate No:Ext Ass Ref:Batch No:Forename:Surname:Centre No:
Please ensure that your personal details above are correct.
You may use a calculator during this assessment.
Read each document and activity carefully and attempt to answer ALL activities.
Write your answers in the spaces provided and ensure that your writing is legible. If extra pages are used, please make sure your name is on them and they’re securely fastened to this booklet.
At the end of the assessment hand all documents over to the invigilator as instructed.
DO NOT TURN OVER UNTIL YOU ARE INSTRUCTED TO DO SO BY THE INVIGILATOR.
For Examiner use only:
Activity number 1 2 3 4 TotalMarks awarded
Fitness
Keeping fit is important for many people throughout the world.
Many people use and enjoy cross-country running. It’s a popular way of keeping fit and getting out into the country.
This assessment is about using cross-country running to keep fit.
Look carefully through documents 1 to 6.
Then complete the activities that follow.
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Document 1
Initial fitness test:
The student did the step test for 3 minutes and 45 seconds.
1st 30 second pulse beat 2nd 30 second pulse beat 3rd 30 second pulse beat
73 62 50
Fitness index ( F )
< 50 50 to 60 60 to 70 70 to 80 80 to 90 > 90
Fitness grade
Very poor Poor Fair Good Excellent Superb
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Document 2
4
Document 3
Recorded details for the student’s training sessions:
Week
Session 1 Session 2 End of week
weight
kg
Distance
km
Time
Min:sec
Recovery rate
Bpm
Distance
km
Time
Min:sec
Recovery rate
Bpm
1 3 14:07 8 5 23:11 9 74.8
2 5 22:24 10 6 26:36 11 74.1
3 6 25:17 13 6 25:21 14 73.5
4 7 28:49 15 7 27:51 17 72.9
5 8 31:45 17 8 30:54 18 72.5
6 8 31:07 20 9 35.19 21 72.3
7 8 30:12 21 10 37:02 23 71.9
8 9 32:51 22 10 36:13 24 71.8
9 10 34:27 26 8 28:03 26 71.7
10 8 28:45 26 9 31:41 28 71.5
11 9 32:24 30 9 31:23 30 71.5
12 9 32:33 30 - -
Document 4
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Document 5
Hire prices for tents:
Company Hire price
£
Special offers
Mtents 135 None
Space 148 10% off total hire cost when more than one tent is hired
Rural 151 Hire one tent and the hire cost of the second tent is reduced by 15%
Document 6
Student’s sponsors
Sponsor Donation per kilometre
£
Unconditional donation
£
A 2.50
B 10.00
C 1.50
D 1.30
E 0.70
F 15.00
G 2.40
H 1.20
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Now complete activities 1, 2, 3 and 4 based on the documents you’ve just looked at.
Activity 1
Use documents 1, 2 and 3 to help you complete the tasks.
You are a committee member of a running club and as part of your role you monitor the fitness of new members. The club is planning a charity cross-country run. A student has joined the club with the intention of participating in the run. Your first duty is to establish the initial fitness of the student.
A. You use a step test to work out the student’s initial fitness grade. In the test the person steps on and off a bench for up to 4 minutes. The fitness index (F) is calculated using a formula and then matched to a fitness grade table.
Fitness index (F) = 50T p + q + r
T is the exercise time in secondsp, q and r are the number of heart beats in three 30 second intervals after completing the exercise.What is the student’s initial fitness grade?
Marks available: 3
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As another measure of health you ask the student to record their weight at the end of
each week. The student is 5ft 7ins in height. At the end of week 1 the student’s Body
Mass Index is in the Overweight category.
B. At the end of which week is the student’s Body Mass Index in the Normal category? Show your working.
Marks available: 3
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Total marks available: 6
Activity 2
Use document 3 to help you complete the tasks.
To develop fitness the student does two sessions of cross-country running per week. During this time the student keeps a record of the details of their training. In the final week before the charity run the student only does one session.
A. You ask the student to wear a heart-beat monitor when running. This keeps details of heart-beat (pulse). The student records the heart-beat (bpm) at the end of the run and again one minute later. The ‘Recovery rate’ is the difference between these two readings. The greater the number, the better shape you are in!
Prepare a graph of the student’s ‘Recovery rate’ during the final five weeks before the event.
Marks available: 7
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B. You need to give feedback to the student on their fitness. Look at the graph pattern and use this to comment on the student’s progress in fitness.
Marks available: 2
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Total marks available: 9
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Activity 3
Use documents 4 and 5 to help you complete the tasks.
The committee is planning for the charity run.
A. One of the committee members has prepared a pencil sketch of the cross-country run location. A scale drawing of the location will be printed on an A0 paper to use as a poster for participants. A0 paper size is 841mm by 1189mm. The poster will be in portrait orientation. The scale drawing needs to use as much space as possible on the poster.
Calculate an appropriately rounded scale to use. Show how you would check that your answer is appropriate.
Marks available: 4
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B. The committee is considering prices for hiring tents to be placed at the start/finish point of the run. Two tents will be needed. You have researched some prices for suitable tents. Which company would you recommend to the committee as providing the cheapest hire cost? Justify your recommendation.
Marks available: 4
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C. Your committee expects 150 people to participate in the run. There will be an energy drink for each runner at the end of the run. The drinks will be in 175ml cups. The concentrated energy drink used is diluted as 1 part juice with 4 parts water. The concentrated juice is in 1litre bottles. Calculate how many bottles of juice will need to be bought.
Marks available: 5
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D. The committee is planning to give a boxed souvenir to each participant. The box will be a cube with a picture on each of the vertical sides. The top side will have a map of the run and the bottom side will be blank. You are asked to prepare a sketch of a 2D representation of the cube with the letters:
M for map B for blank P for pictureon the appropriate sides.
Marks available: 2
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Total marks available: 15
Activity 4
Use documents 3 and 6 to help you complete the tasks.
The cross-country run will raise money for charity. Participants are asked to find sponsors who will make donations. Details of the sponsors’ offers are recorded and passed on to the committee.
A. The cross-country run will be 8.5km. The student keeps details of how much money the sponsors are donating. If the student completes the run how much money will be raised?
Marks available: 2
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B. A sponsor offered to make a large donation to charity if the student completes the run within 30 minutes. Look at the information on Distance and Time for the Sessions in the final 3 weeks before the event. Use this information to calculate the probability of the student completing the event within 30 minutes.
Marks available: 6
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C. The committee would like to know the amount of money they should expect from the donations. There are 150 participants and their expected donations range from 20 to 150 pounds. Using the median value for this range of expected donations and the ‘number of participants’ calculate the total expected amount of donations.
Marks available: 2
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D. The donations will be allocated to three charities (A, B, C) in the ratio 1:2:3. Using the total expected amount of donations from task C, calculate the amount that will be allocated to each charity.
Show how you would check that your answer is correct.
Marks available: 4
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Total marks available: 14
End of assessment
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