Functional Mathematics
Measurement and Scale
Underpins the following coverage & range statements
Level 1
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solve problems requiring calculation, with common measures, including
money, time, length, weight, capacity & temperature
convert units of measure in the same system
work out areas and perimeters in practical situations
Level 2
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recognise and use 2D representations of 3D objects
find area, perimeter and volume of common shapes
use, convert and calculate using metric and, where appropriate,
imperial measures
Kindly contributed to www.skillsworkshop.org by Elizabeth Adeyemi, South Thames College
Kindly contributed to www.skillsworkshop.org by
Elizabeth Adeyemi, South Thames College
Functional Mathematics
Measurement and Scale
When using this resource
teachers should assess and
reinforce the L1-2 skill
standards:
Level 1
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understand practical problems in familiar and unfamiliar contexts and situations, some of which are
non-routine
apply mathematics in an organised way to find solutions to straightforward practical problems for
different purposes interpret and communicate solutions to practical problems, drawing simple
conclusions and giving explanations
identify and obtain necessary information to tackle the problem
use appropriate checking procedures at each stage
select mathematics in an organised way to find solutions
Level 2
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understand routine and non-routine problems in familiar and unfamiliar contexts and situations
apply a range of mathematics to find solutions
interpret and communicate solutions to multistage practical problems in familiar and unfamiliar
contexts and situations
identify the situation or problems and identify the mathematical methods needed to solve them
use appropriate checking procedures and evaluate their effectiveness at each stage
draw conclusions and provide mathematical justifications
choose from a range of mathematics to find solutions
Functional Mathematics
Measurement and Scale
for construction students
Answer the following questions
(You must show all your workings)
1.Why is it important to be able to measure
accurately? (use 2 or 3 complete
sentences) (3 marks)
2. A lounge measures 5m by 3m. The owner
has contracted you to put up a wall paper
border around the room. What length of
border will you require? (3 marks)
3.A garden is 5m x 7m. What is the area of the
garden? (3 marks)
Answer the following questions
(You must show all your workings)
4. You have been asked to put carpet on the stage of a
local theatre measuring 45m x 30m. You have a
carpet of area 1200 m2. Is the carpet large
enough? (3 marks)
5. What is the area of a sheet of metal measuring 58cm
and 32 cm? (3 marks)
6. A rectangular rush mat of length 4.5m and width
75cm lies along a corridor. The edges of the mat
are strengthened with tape. What length of tape is
needed? (3 marks)
Answer the following question
(You must show all your workings)
7. A supplier sends out storage bins for electrical
materials. Each bin measures 50cm long x 30 cm
wide x 50cm high. The bins cannot be stacked inside
each other but they can be packed anyway up.
How many storage bins can be packed into a large
container measuring 3m wide x 3m long x 3m high?
(5 marks)
Answer the following questions
(you must show all your workings)
8. A small bungalow is L-shaped with basic floor
measurements as shown. How many floorboards 2.5
m x 12 cm are needed to cover the floor (assuming
no waste) (5 marks)
What is the cost if a floorboard is £1.35? (2 mark)
Scales and Maps
(You must show all your workings)
9. A house plan is drawn to a scale of 1:100.
The lounge on the drawing is 7.5cm long and
5cm wide. What is the:
 Length of the lounge in metres? (2 marks)
 Width of the lounge in metres? (2 marks)
Scales and Maps
(You must show all your workings)
10. A model is to be made of a new college building
which is 120m in length. The suggested scale is
1:250. How long will the model be? (2 marks)
11. An aeroplane has a wingspan of 150 ft. A model of it
is made on a scale 1:100. How big is the wingspan
on the model? (2 marks)
12. A house was drawn using a scale of 1:100. The
main bedroom is 4cm long on the scale plan. How
long is the main bedroom? (2 marks)
Answers
These are simple short answers for teacher reference. However, in
order to obtain full marks, learners must show all working out, along
with evidence of checking and clear diagrams where appropriate.
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Any sensible explanation, with examples.
16 m
35 m2
No. The carpet needs to have an area of 1350m2
1856 cm2
10.5 m
6 x 6 x 10 = 360 boxes
1200m floor-boarding = 480 boards. (£648.00)
7.5m long x 5m wide
48 cm
1 ½ ft (18 inches)
4m long