1. Week 11 Understand and use scale drawings
Functional MATHS
Week 11
Understand and use scale drawings

2. Today’s starter…

3. Re-cap: What did we do last week?

4. (Level 2: plus volumes and circles)
What did we do last week?
Perimeter and area
(Level 2: plus volumes and circles)
Use metric units in everyday situations
Work out areas and perimeters in practical situations
Find perimeter, area and volume of common shapes, including area and circumference of circles

5. Metric Conversion Quiz
Write all your answers in words.

6. There are 1000 of these in a kilogram
Question 1
There are 1000 of these in a kilogram

7. There are 100 of these in a metre.
Question 2
There are 100 of these in a metre.

8. How many millilitres are there in a litre?
Question 3
How many millilitres are there in a litre?

9. There are 1000 of these in a Tonne.
Question 4
There are 1000 of these in a Tonne.

10. There are 10 of these in a centimetre.
Question 5
There are 10 of these in a centimetre.

11. Question 6
There are metres in a ……..?

12. How many millilitres are there in 1 centilitre?
Question 7
How many millilitres are there in 1 centilitre?

13. There are 1000 of these in a litre
Question 8
There are 1000 of these in a litre

14. There are 1000 of these in a metre.
Question 9
There are 1000 of these in a metre.

15. How many centilitres are there in a litre?
Question 10
How many centilitres are there in a litre?

16. What is the perimeter of this shape?
Question 11
What is the perimeter of this shape?

17. What is the area of this shape?
Question 12
What is the area of this shape?

18. Answers

19. There are 1000 of these in a kilogram
Question 1
There are 1000 of these in a kilogram
Grams

20. There are 100 of these in a metre.
Question 2
There are 100 of these in a metre.
Centimetres

21. How many millilitres are there in a litre?
Question 3
How many millilitres are there in a litre?
One thousand

22. There are 1000 of these in a Tonne.
Question 4
There are 1000 of these in a Tonne.
Kilograms

23. There are 10 of these in a centimetre.
Question 5
There are 10 of these in a centimetre.
Millimetre

24. Question 6
There are metres in a ……..?
Kilometre

25. How many millilitres are there in 1 centilitre?
Question 7
How many millilitres are there in 1 centilitre?
Ten

26. There are 1000 of these in a litre
Question 8
There are 1000 of these in a litre
Millilitres

27. There are 1000 of these in a metre.
Question 9
There are 1000 of these in a metre.
Millimetres

28. How many centilitres are there in a litre?
Question 10
How many centilitres are there in a litre?
One hundred

29. What is the perimeter of this shape?
Question 11
What is the perimeter of this shape?
28cm
26cm

30. What is the area of this shape?
Question 12
What is the area of this shape?
48cm2
32cm2

31. Put your name on it please before handing in!
Directed Study

32. What are we going to do today?
Scale Drawings
Use scale to draw a diagram
Draw an accurate scale plan using a given scale expressed as a ratio
Interpret real life measurements from a scale diagram
Solve problems involving scale
(Ratio and Proportion part 2)

33. Proportion
If I travel at 45mph how many miles would I travel in 2 hours?
What about 3 hours?
What about 9 hours?
Hours 1 2 9
Miles 45

34. Name 5 things you might use a scale drawing or model for
Where could scale be used?
eg 1:50

35. Architects make models of buildings
Architects make models of buildings. Models are 3-D representations of objects.

36. People use maps to find their way
People use maps to find their way. Maps are flat 2-D representations of a plan view of an area.

37. Every qualified tradesperson will come across, and have to use, scale drawings as a normal part of their job. Drawings are one of the most important methods of communicating technical information to the building team.

38. • the finished job being the wrong size
• the job having to be done again
• materials being under- or over-ordered
• or even work stopping until the mistake has
been sorted out.
This will mean wasting time and money.

39. Estimate the height, in metres, to the top of the tree
Estimations
Estimate the height, in metres, to the top of the tree

40. Estimate the height, in metres, to the top of the tree
The average man is between 1.6 m and 1.8 m tall
1 metre
Approximately 11m
Estimate the height, in metres, to the top of the tree

41. Estimate the heights of the buildings shown

42. Estimate the heights of the buildings shown
6.5 x 1.7 = m
5 x 1.7 = 8.5 m
3.5 x 1.7 = 5.95 m
1.7 m

43. Estimate the length of the whale shown

44. Estimate the length of the whale shown
The average whale is about 30m in length
30 m

45. Scale Drawing
Scale drawing allows us to draw large objects on a smaller scale or a smaller object on a larger scale, keeping them accurate.
All scale drawings must have a scale written on them. Scales are usually expressed as ratios.
Example: 1cm : 100cm
The ratio 1cm:100cm means that for every 1cm on the scale drawing the length will be 100cm in real life

46. Scale As a scale we would write this as 1:20
If 1cm on the map is 20cm in real life what would 3cm be in real life?
What about 7cm in real life?
What would 500cm in real be on a map?
Map 1 3 7
500
Actual 20
As a scale we would write this as 1:20

47. Scale examples
Scales can be written in many different ways

48. Scale drawing
Scales are simple ratios i.e. how many of these represent that.
E.g. 1 cm : 5 m
So 1 cm on the drawing represents 5 metres on the ground.
A scale of 1:100 where no measurements are given can be used for any measurement so 1 of 1 measurement is 100 times bigger.

49. N
Distance to Town 40 cm
Real Distance :
80 km
Scale 1 cm : 2 km
Distance from Town to Shops
10 cm
Airport
Local Town
Real Distance :
20 km
Hospital
Shops
Distance from shops to Hospital
4.2 cm
Real Distance :
8.4 km

50. N
Distance to Town 40 cm
Real Distance :
1000 m
Scale 2 cm : 50 m
Distance from Town to Shops
10 cm
Airport
Local Town
Real Distance :
250 m
Hospital
Shops
Distance from shops to Hospital
4.2 cm
Real Distance :
105 m

51. N
Distance to Town 40 cm
Real Distance :
120 km
Scale 1 cm :3 km
Distance from Town to Shops
10 cm
Airport
Local Town
Real Distance :
30 km
Hospital
Shops
Distance from shops to Hospital
4.2 cm
Real Distance :
12.6 km

52. Scale Drawings Here is a garden Scale 1 : 200 4.5 m = 3 m = ___cm
greenhouse
shed
4.5 m =
___cm
3 m =
___cm
14 m =
___cm
12 m = ___cm
patio
18 m = ___cm
Calculate the scale diagram measurements

53. Scale Drawings ANSWERS
Here is a plan of a garden
Scale 1 : 200
greenhouse
shed
1.5 cm
2.25 cm
7 cm
6 cm
patio
9 cm
Calculate the scale diagram measurements

54. Find the actual height of the Eiffel Tower from the scale model.
Scale: 1cm = 10m
The model has a height of 30 cm. This is 30 times bigger that the 1 cm on the scale so multiply 1 x 30 = 30cm. Do the same to the other side of the scale so 10m x 30 = 300m.
30cm
Scale model
Actual size

55. Find the actual height of the Empire State Building
Scale: 1 cm : 5m
76cm

56. Find the height of the Statue of Liberty
Scale 1 cm = 3m
30cm
Height of the statue of liberty = 90m

57. Find the height of the scale model of Big Ben
Scale: 1 cm : 3 m
96m
This time you know the actual height. This goes under the 3m on the scale. Find out how many lots of 3 go into 96 so divide.
96 ÷ 3 = 32 cm

58. Find the height of the scale model of Ben Nevis
Scale 1 cm : 50 m
1350m

59. Design a room activity Different for different levels
Complete the activity and design/draw your room

60. Scale Drawing Quiz
1 of 12
AQA Education (AQA) is a registered charity (number ) and a company limited by guarantee registered in England and Wales (number ). Our registered address is AQA, Devas Street, Manchester M15 6EX.

61. A B C D What is the actual height of a wall that measures
Question 1
What is the actual height of a wall that measures
6cm on the scale drawing with a scale of 1:50? A
600 cm B
120 cm C
14 cm D
300 cm
2 of 12
AQA Education (AQA) is a registered charity (number ) and a company limited by guarantee registered in England and Wales (number ). Our registered address is AQA, Devas Street, Manchester M15 6EX.

62. Question 2
What does 5 cm on a map with scale 1:200 represent in actual distance? A
1000 cm B
2500 cm C
150 cm D
1500 cm
3 of 12
AQA Education (AQA) is a registered charity (number ) and a company limited by guarantee registered in England and Wales (number ). Our registered address is AQA, Devas Street, Manchester M15 6EX.

63. Question 3
A house plan is drawn to a scale of 1:100. The lounge on the drawing is 9 cm long. What is the length of the lounge in metres? A
90 cm B
45 m C
9 m D
30 m
4 of 12
AQA Education (AQA) is a registered charity (number ) and a company limited by guarantee registered in England and Wales (number ). Our registered address is AQA, Devas Street, Manchester M15 6EX.

64. Question 4
A house plan is drawn to a scale of 1:50. The lounge on the drawing is 15 cm long. What is the length of the lounge in metres? A
50 m B
7.5 m C
5 m D
65 m
5 of 12
AQA Education (AQA) is a registered charity (number ) and a company limited by guarantee registered in England and Wales (number ). Our registered address is AQA, Devas Street, Manchester M15 6EX.

65. Question 5
A model is to be made of the new college which is 1125 m in length. The suggested scale is 1:750. How long will the model be? A
9 cm B
1.5 m C
2 m D
3.5 m
6 of 12
AQA Education (AQA) is a registered charity (number ) and a company limited by guarantee registered in England and Wales (number ). Our registered address is AQA, Devas Street, Manchester M15 6EX.

66. Scale Drawing Quiz
7 of 12
AQA Education (AQA) is a registered charity (number ) and a company limited by guarantee registered in England and Wales (number ). Our registered address is AQA, Devas Street, Manchester M15 6EX.

67. A B C D What is the actual height of a wall that measures
Question 1
What is the actual height of a wall that measures
6cm on the scale drawing with a scale of 1:50? A
600 cm B
120 cm C
14 cm D
300 cm
8 of 12
AQA Education (AQA) is a registered charity (number ) and a company limited by guarantee registered in England and Wales (number ). Our registered address is AQA, Devas Street, Manchester M15 6EX.

68. Question 2
What does 5 cm on a map with scale 1:200 represent in actual distance? A
1000 cm B
2500 cm C
150 cm D
1500 cm
9 of 12
AQA Education (AQA) is a registered charity (number ) and a company limited by guarantee registered in England and Wales (number ). Our registered address is AQA, Devas Street, Manchester M15 6EX.

69. Question 3
A house plan is drawn to a scale of 1:100. The lounge on the drawing is 9 cm long. What is the length of the lounge in metres? A
90 cm B
45 m C
9 m D
30 m
10 of 12
AQA Education (AQA) is a registered charity (number ) and a company limited by guarantee registered in England and Wales (number ). Our registered address is AQA, Devas Street, Manchester M15 6EX.

70. Question 4
A house plan is drawn to a scale of 1:50. The lounge on the drawing is 15cm long. What is the length of the lounge in metres? A
50 m B
7.5 m C
5 m D
65 m
11 of 12
AQA Education (AQA) is a registered charity (number ) and a company limited by guarantee registered in England and Wales (number ). Our registered address is AQA, Devas Street, Manchester M15 6EX.

71. Question 5
A model is to be made of the new college which is 1125 m in length. The suggested scale is 1:750. How long will the model be? A
9 cm B
1.5 m C
2 m D
3.5 m
12 of 12
Copyright © 2015 AQA and its licensors. All rights reserved.
AQA Education (AQA) is a registered charity (number ) and a company limited by guarantee registered in England and Wales (number ). Our registered address is AQA, Devas Street, Manchester M15 6EX.

72. Directed study
Scale drawing questions