functional skills mathematics sample paper level 2 …€¦ · functional skills mathematics sample...

Functional Skills Mathematics Sample Paper Level 2 Sport & Fitness Assessment Task Sheet

Functional Skills Mathematics Assessment

Level 2 NOCN USE ONLY

Learner name _______________________________________________ Run ID _______________________________________________ Learner signature

Centre _______________________________________________ Assessment Date _______________________________________________

Instructions to candidates

Write your name and centre in the space provided on all sheets

You may use a calculator.

You will need a pen, pencil and a ruler.

Use only blue or black ink. Pencil must only be used for drawing.

There are 3 tasks in this assessment.

You must attempt all tasks.

Total marks available: 50

You have two hours to finish the assessment

Available marks

1st Marker

2nd Marker

Task 1 Q1 10

Q2a 5

Q2b 3

Task 2 Q1a 7

Q1b 1

Q2a 8

Q2b 1

Task 3 Q1 11

Q2a 2

Q2b 2

Total 50

Functional Skills Mathematics SAMPLE PAPER Level 2 Sport & Fitness

Name: Centre: of 12

Task 1 Question 1

A new fitness suite is planned for the sports centre. There is a budget of £85,000 to furnish the

fitness suite. There is a door, which is 2m wide, in the top right hand corner.

Not to scale

15m

10m

Gym equipment needs to be installed.

Each piece of equipment needs a space of 2.2m x 1.2m. There must be 1m between every piece of

equipment.

There must be at least 0.8m between any machine and the walls.

There must be combination of all pieces of equipment.

You need to fit as many pieces of equipment as possible to make full use of the budget.

Running Machine £5,400

Exercise Bike £2,800

Cross Trainer £6,400 Rowing Machine £1,200


Name: Centre: of 12

Q1) Make a scale drawing of the fitness suite. Draw a plan to scale for each machine you would like in your fitness suite, maximising your

£85,000 budget. Explain your answer. (10 marks)

Show your working:


Name: Centre: of 12

Task 1

Question 2 You have this information on fitness suite usage for each hour in one day.

9am 10am 11am noon 1pm 2pm 3pm 4pm 5pm 6pm 7pm 8pm

II IIII IIII

IIII IIII IIII I

IIII IIII IIII

IIII IIII II

IIII III

IIII III

IIII I IIII II

IIII IIII III

IIII IIII IIII III

IIII IIII III

Q2a) Draw an appropriate graph or chart to show the fitness suite usage in one day. Comment on your findings. (5 marks)

Write your comments here:


Name: Centre: of 12

Q2b) The national mean for the chain of fitness suites is 12 people per hour. Use statistical methods

to compare the fitness suite usage with the national average. (3 marks)

Show your working:


Name: Centre: of 12

Task 2

Question 1

The swimming pool measures 164 feet long by 82 feet wide. It slopes evenly from 6.5 feet at the shallow end to 12.5 feet at deep end. It can be filled at the rate of 20,000 litres per hour.

1 cubic foot = 28.3168 litres

Formula for calculating the volume of the pool in Cubic Feet

𝑉 = 𝐿 × 𝑊 × (𝑥 + 𝑦)

2

Where:

V = Volume of the swimming pool in cubic feet L = Length of the swimming pool in feet W = Width of the swimming pool in feet X = Maximum depth of the swimming pool in feet Y = Minimum depth of the swimming pool in feet

164 feet

6.5 feet

82 feet

12.5 feet


Name: Centre: of 12

Q1a) How long will it take to fill the pool in days, hours and minutes? (7 marks)

Q1b) Show how you have checked your answer. (1 mark)

Show your working:

Show your working:


Name: Centre: of 12

Task 2

Question 2

On average throughout the year 2,100 people use the swimming pool every week.

This is in the ratio of 5 children to every 2 adults.

Children are charged £1.25 admission and adults are charged £2.50.

It costs £3,000 a week to maintain and staff the swimming pool. Formula for calculating the percentage profit

Percentage Profit =(Income - Cost of running the pool)

Income × 100

Q2a) The swimming pool needs to show a 15% profit. Has it achieved this? Justify your answer

(8 marks)

Q2b) Show how you could check your answer. (1 mark)

Show your working:

Show your working:


Name: Centre: of 12

Task 3 Question 1

The running club has use of the track for four hours to train for their marathon. A marathon is

26.2miles. The diagram below shows the dimensions of the running track.

1 mile = 1.609 kilometres

The slowest runner takes an average of 144 seconds to complete a lap. Q1) Is four hours enough time for the slowest runner to complete their marathon? (11 marks)

Task 3

73.25m

85m

Perimeter 2L + πD

π = 3.14

Show your working:


Name: Centre: of 12

Question 2

You have this chart on Olympic marathons times.


Name: Centre: of 12

Q2a) Analyse the line graph and make appropriate comments (2 marks) Q2b) What do the data suggest for marathon times at future Olympics? (2 marks)

END OF ASSESSMENT




Name: Centre: of 12

NOCN The Quadrant Parkway Business Centre 99 Parkway Avenue Sheffield S9 4WG email: [email protected] Tel: 0114 2270500 Fax: 0114 2270501

mailto:[email protected]

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