Functional Skills
Mathematics Assessment
Level 2
Learner name
Learner registration number
Learner signature
Centre
Assessment date
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.
NOCN USE ONLY
Task Mark
1
2
3
NOCN USE ONLY
Task Mark
1a
1b
1c
1d
2
3
4
5
Total
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:
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)
Task 1b – Surface Area of the Pond
Work out the surface area of the pond
Show how you have checked your results. (6 marks)
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
1.2 1.25 1.05 0.9 0.8 0.85 1.15 0.95 0.85 1.0 1.2 1.25 1.15 1.25 1.05
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
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)
Price List
Pond World – Pond Liners
To Calculate the Width of the pond liner
Where:
WPL = Width of the pond liner W = Maximum Width of the pond D = Mean Depth of the pond
To Calculate the Length of the pond liner
Where:
LPL = Length of the pond liner L = Maximum Length of the pond D = Mean Depth of the pond
Width
Price per
Linear Foot
10 feet
£5.12 / foot
12 feet
£6.14 / foot
14 feet
£7.16 / foot
16 feet
£8.24 / foot
18 feet
£9.24 / foot
20 feet £10.24 / foot
22 feet £11.24 / foot
Conversion Table
1 gallon = 4.54609 litres
1 metre = 39.3700787 inches
1 lb = 0.45359 kilograms
1 metre = 3.2808399 feet
1 inch = 2.54 centimetres
1 cubic metre = 1000 litres
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
Pond World - Price List of Cold Water Pond Fish
1 This allows for the fish to grow to full size
Type of Fish Length Price (each)
Koi Carp 15 cms £18.95 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 £6.95
Each 15cms length of fish requires
400 litres of water in the pond
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 Quantity in Stock
Koi Carp Gold Fish Green Tench Shubunkins Gudgeon Sarasa Comet Golden Orfe Blue Orfe
Use this space for your chart:
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)
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.
(2 marks)
Use this space for your workings:
