Functional Skills Mathematics Assessment Level 2

Transcription

1 Sample Paper Assessment Task Sheet Functional Skills Mathematics Assessment Level 2 Learner name Run ID Learner signature Centre Assessment Date NOCN USE ONLY Available marks 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 1 st Marker 2 nd Marker 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

2 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. Running Machine 5,400 Exercise Bike 2,800 Cross Trainer 6,400 Rowing Machine 1,200 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. Name: Centre: Page 2 of 12

3 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) Name: Centre: Page 3 of 12

4 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 I III III II I II Q2a) Draw an appropriate graph or chart to show the fitness suite usage in one day. Comment on your findings. (5 marks) III III III Write your comments here: Name: Centre: Page 4 of 12

5 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) Name: Centre: Page 5 of 12

6 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. 82 feet 164 feet 6.5 feet 12.5 feet 1 cubic foot = litres Formula for calculating the volume of the pool in Cubic Feet Where: V = L W (x + y) 2 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 Name: Centre: Page 6 of 12

7 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) Name: Centre: Page 7 of 12

8 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 It costs 3,000 a week to maintain and staff the swimming pool. Formula for calculating the percentage profit (Income - Cost of running the pool) Percentage Profit = 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) Name: Centre: Page 8 of 12

9 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. Perimeter 2L + πd 1 mile = kilometres 85m π = m 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 Name: Centre: Page 9 of 12

10 Question 2 You have this chart on Olympic marathons times. Name: Centre: Page 10 of 12

11 Q2a) Analyse the line graph and make appropriate comments (2 marks) Write your comments here: Q2b) What do the data suggest for marathon times at future Olympics? (2 marks) Write your comments here: END OF ASSESSMENT Name: Centre: Page 11 of 12

12 NOCN The Quadrant Parkway Business Centre 99 Parkway Avenue Sheffield S9 4WG Tel: Fax: Name: Centre: Page 12 of 12