Functional Mathematics Measurement and Scale

1
Functional MathematicsMeasurement and Scale

• Underpins the following coverage range
  statements
• Level 1
• 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
• 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
2
Functional MathematicsMeasurement and Scale
Kindly contributed to www.skillsworkshop.org by
Elizabeth Adeyemi, South Thames College
When using this resource teachers should assess
and reinforce the L1-2 skill standards

• Level 1
• 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
• 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

3
Functional MathematicsMeasurement and Scalefor
construction students
4
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)

5
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)

6
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)

7
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)

8
Scales and Maps (You must show all your workings)

• 9. A house plan is drawn to a scale of 1100.
  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)

9
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 1250. 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 1100. How big is
  the wingspan on the model? (2 marks)
• 12. A house was drawn using a scale of 1100. The
  main bedroom is 4cm long on the scale plan. How
  long is the main bedroom? (2 marks)

10
AnswersThese 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.

• 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