Functional Skills Mathematics Assessment Level 2 - …

1 Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER Functional Skills Mathematics Assessment SAMPLE PAPER Level 2 Available marks 1st Marker 2nd Marker Task 1 Q1a 5 Q1b 6 Q1c 5 Q1d 1 Q2a(i) 10 Q2a(ii) 3 Q2b 3 Task 2 Q1a 7 Q1b 1 Q2a 3 Q2b 2 Task 3 Q1a 1 Q1b 1 Q1c 2 Total 50 Learner name Run ID Learner signature Centre Assessment date Instructions to candidates 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.

2 There are 3 tasks in this Assessment . You must attempt ALL tasks. Total marks available: 50 You have two hours to finish the Assessment Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 2 of 16 Task 1 Question 1 Pond World is a centre that specialises in garden ponds and fish. Kevin is on his work experience at Pond World. A customer at Pond World has a garden pond. This is a sketch of his pond. The shape is symmetrical. The sides are at right angles. Each corner cut away is a square Diagram not drawn to scale Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 3 of 16 1a) Make a scale drawing of the garden pond on the next page.

3 State the scale you have used. (5 marks) Show any workings out Draw your scale drawing below. Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 4 of 16 1b) Work out the surface area of the pond. Explain your method. (6 marks) Show your workings out and your answer Diagram not drawn to scale The shape is symmetrical The sides are at right angles. Each corner cut away is a square m m Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 5 of 16 The depth of the pond varies.

4 The customer has taken a number of depth readings for his pond. He thinks the mean depth of his pond is 1m. Depth readings in metres. Kevin finds this formula to work out the capacity of the pond in litres. 1c) Use your answer to 1b) and the information above to work out the capacity of the pond. Comment on the customer s value for the mean depth. (5 marks) Show your workings out and your answer C = S M 1000 where: C = capacity of the pond in litres S = surface area of the pond in metres2 M = mean depth of the pond in metres Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 6 of 16 1d) Show a check of your answer.

5 (1 mark) Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 7 of 16 Question 2 A customer needs a liner for his garden pond which has a mean depth of Kevin finds this information about the dimensions of garden pond liners and their cost. Kevin knows that: Customers can only buy pond liner material in whole numbers of feet. W = w + 2d where: W = width of pond liner w = maximum width of pond d = mean depth of pond L = l + 2d where: L = length of pond liner l = maximum length of pond d = mean depth of pond Price list Width in feet Cost for 1 foot in length 10 12 14 16 18 20 22 1 metre = feet Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 8 of 16 2a(i) How much pond liner will the customer need?

6 (10 marks) Show your workings out and your answer Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 9 of 16 2a(ii) Work out the lowest cost the customer can pay for a pond liner for his pond. Explain your answer. (3 marks) Show your workings out and your answer Pond World has a special offer on pond liners. 2b) What is the cost of the pond liner after the discount? (3 marks) Show your workings out and your answer Special offer 12% off the price of pond liners Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 10 of 16 Task 2 Question 1 A customer wants to stock his pond with fish.

7 These are the lengths and the prices of the fish at Pond World. Type of fish Length Price of one fish Koi 15cm Goldfish Tench 15cm Shubunkin Gudgeon 15cm Sarasa Comet 15cm Golden Orfe 15cm Blue Orfe 15cm Kevin finds this information about stocking a pond with fish. The customer tells Kevin his pond holds 6750 litres of water he wants to buy the maximum length of fish possible he wants to buy three different types of fish he has a budget of 200 Recommended Maximum Number of Fish Each 15cm length of fish requires 400 litres of water in the pond. Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 11 of 16 1a) Work out a combination of fish the customer could buy.

8 (7 marks) Show your workings out and your answer 1b) Show a check of your answer. (1 mark) Show your workings out Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 12 of 16 Question 2 There are four types of fish which are the most popular to buy at Pond World. The manager gives Kevin information on the numbers of these fish sold in the last two years. Year Goldfish Koi Shubunkin Tench 1 570 720 480 300 2 630 840 390 250 He asks Kevin to draw a graph or chart to compare the numbers of fish sold. 2a) Comment on the differences between the numbers of each type of fish sold in the last two years.

9 (2 marks) Write your comments: Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 13 of 16 2b) Draw a graph or chart on the next page to compare the numbers of each type of fish sold. (3 marks) Draw your graph or chart below. Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 14 of 16 Task 3 Question 1 There is an outside pond at Pond World. Kevin reads about the temperature of garden pond water. On one cold night in winter the air temperature above the pond dropped to 9oC. 1a) What is the difference between 9oC and 4oC?

10 (1 mark) Show your answer 1b) Show a check of your answer. (1 mark) Show your workings out Fresh water is most dense at 4oC. This means that water at that temperature will sink to the bottom. So the water at the bottom of a garden pond will not get colder than 4oC. Functional Skills Mathematics Level 2 Work Experience Assessment Task Sheet SAMPLE PAPER : Page 15 of 16 The Golden Orfe and Blue Orfe fish are kept in the same pond. Kevin is asked to separate the two types of fish into two separate ponds. Key: The two types of fish are equally likely to be caught.