Functional Skills Mathematics Assessment. Level 2

Transcription

1 Functional Skills Mathematics Assessment Learner name Learner registration number Learner signature Centre Assessment date Level 2 NOCN USE ONLY Task Mark 1a NOCN 1b USE ONLY Task Mark 1c 1 1d Total You may use a calculator. You will need a pen, pencil, ruler, 90 set square, compass and a protractor. There are 5 tasks in this assessment. Total marks available: 52 You must attempt ALL 5 tasks. You have one and a half hours to finish the assessment. L2 Mathematics Sample Pond World v3 Page 1 of 16

2 You are working at Pond World, a centre that specializes in Garden Ponds and Fish on a two week work experience. One of the customers, Mr. Kim Matsuba, has provided a rough plan of his garden pond and needs your help stocking it with fish. This is the sketch Mr. Matsuba has provided: L2 Mathematics Sample Pond World v3 Page 2 of 16

3 Task 1a Scale Drawing Make a scale drawing of the Garden Pond using the rough sketch provided Show the scale you have used. Use the space below. (6 marks) Show your working: L2 Mathematics Sample Pond World v3 Page 3 of 16

4 Task 1b Surface Area of the Pond Work out the surface area of the pond Show how you have checked your results. (6 marks) Show your working: L2 Mathematics Sample Pond World v3 Page 4 of 16

5 Task 1c Capacity of the Pond The depth of the pond varies and Mr Matsuba has taken a number of depth readings to help you calculate the capacity. He thinks the average depth is 1 metre. Using the surface area you have calculated: Say if Mr Matsuba is correct. Explain your answer. Use the formula below to work out the volume in litres Show how you have checked your results. Use the space on the next page to show your workings. (7 marks) Depth readings of the pond taken at regular intervals in metres Formula for calculating the capacity of the pond in litres Where: C = capacity of the pond S = surface area of the pond when full M = mean depth of the pond L2 Mathematics Sample Pond World v3 Page 5 of 16

6 Show your working: L2 Mathematics Sample Pond World v3 Page 6 of 16

7 Task 1d The Pond Liner Mr Matsuba needs a liner for his pond. Using the information you already have and formulae and tables below, work out the lowest cost of a suitable pond liner. You can only buy pond liner in whole feet. Show how you have checked your results. (13 marks) To Calculate the Width of the pond liner To Calculate the Length of the pond liner Where: WPL = Width of the pond liner W = Maximum Width of the pond D = Mean Depth of the pond Where: LPL = Length of the pond liner L = Maximum Length of the pond D = Mean Depth of the pond Price List Pond World Pond Liners Width Price per Linear Foot 10 feet 5.12 / foot 12 feet 6.14 / foot Conversion Table 1 gallon = litres 1 metre = inches 1 lb = kilograms 1 metre = feet 1 inch = 2.54 centimetres 1 cubic metre = 1000 litres 14 feet 7.16 / foot 16 feet 8.24 / foot 18 feet 9.24 / foot 20 feet / foot 22 feet / foot L2 Mathematics Sample Pond World v3 Page 7 of 16

8 Show your workings L2 Mathematics Sample Pond World v3 Page 8 of 16

9 Task 2 Stocking the Pond Another customer wants to stock his pond. The pond contains 6750 litres of water. Your task is to select three types of fish from the price list below. You may have as many of each type of fish as you want provided that: You do not exceed the recommendation below. You do not exceed your budget of 200. Use the space on the next page to show your workings. (7 marks) Recommended Maximum Number of Fish 1 Each 15cms length of fish requires 400 litres of water in the pond Pond World - Price List of Cold Water Pond Fish Type of Fish Length Price (each) Koi Carp 15 cms Gold Fish 7.5 cms 2.95 Green Tench 15 cms 6.95 Shubunkins 7.5 cms 1.95 Gudgeon 15 cms 3.95 Sarasa Comet 15 cms 9.95 Golden Orfe 15 cms 6.95 Blue Orfe 15 cms This allows for the fish to grow to full size L2 Mathematics Sample Pond World v3 Page 9 of 16

10 Show your working: L2 Mathematics Sample Pond World v3 Page 10 of 16

11 Task 3 Fish Survey Your manager has an urgent job for you. He has undertaken a stock check of the fish at Pond World and wants you to create a suitable chart showing the proportions of the different types of fish in the ponds. Use the space below for your workings. Show how you have checked your results. (9 marks) Type of Fish Koi Carp Quantity in Stock Gold Fish Green Tench Shubunkins Gudgeon Sarasa Comet Golden Orfe Blue Orfe Show your workings: L2 Mathematics Sample Pond World v3 Page 11 of 16

12 Use this space for your chart: L2 Mathematics Sample Pond World v3 Page 12 of 16

13 Task 4 Pond Temperatures in Winter As the temperature of the water in a pond drops in winter, the water becomes heaviest at 4 C. It sinks to the bottom of the pond, with colder, lighter water and ice floating to the top. If the air temperature above the pond is -9 C, what is the difference in the temperature between the air temperature and the bottom of the pond which is 4 C? Show how you have checked your results. (2 marks) Use this space for your workings: L2 Mathematics Sample Pond World v3 Page 13 of 16

14 Task 5 Probability Your manager needs you to separate out the two types of fish into separate ponds. What is the probability of catching a darker shaded fish in the pond below? Place an arrow on the scale below. 0 % 100% (2 marks) Use this space for your workings: End of the assessment L2 Mathematics Sample Pond World v3 Page 14 of 16

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16 NOCN The Quadrant Parkway Business Centre 99 Parkway Avenue Sheffield S9 4WG Tel: Fax: L2 Mathematics Sample Pond World v3 Page 16 of 16