1. There are 1000 of these in a kilogram
There are 100 of these in a metre
How many millilitres are there in a litre?
There are 1000 of these in a Tonne
There are 10 of these in a centimetre
There are 1000 metres in a ……..?
How many millilitres are there in 1 centilitre?
There are 1000 of these in a litre
There are 1000 of these in a metre.
How many centilitres are there in a litre?

2. Today Calculate real-life and scale measurements
Interpret real life measurements from a scale diagram
Work out a distance on a map
Draw an accurate scale plan using a given scale expressed as a ratio
Convert scales to other units of measure, e.g from cm to m
Solve problems involving scale

3. Proportion Hours 1 2 Miles 45
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
Miles 45

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

5. The average man is between 1.7 m and 1.9 m tall
Estimations
11m
The average man is between 1.7 m and 1.9 m tall

6. Estimate the heights of the buildings shown

7. Estimate the length of the whale:

8. 1cm : 10cm Drawing size Real-life size
Using a scale of 1:10, we need to divide a real measurement by 10 to get the scale measurement, but multiply by 10 to get the real-life measurement.
1cm : 10cm
Drawing size
Real-life size
Scale drawing size = real-life size ÷ 10
Real-life size = scale size x 10
For example, using the scale 1cm : 5cm:
If I have a measurement of 10cm on my scale diagram what would the measurement be in real life?
What is the scale drawing size of a 20cm real-life object?
What is the real-life size of a 50cm scale drawing object?
What measurement on the scale diagram would I draw to represent 5m in real life?
What is the real-life size of a 10mm line on the scale drawing?

9. Calculate the real-life and scale measurements:
Use the scale 1:20.
Calculate the real-life and scale measurements:
Scale measurement 2 3 5 6 9 10
Real-life measurement 20
140
 160

10. 35cm
3.5cm
Scale 10cm : 1cm
6cm
120cm
Scale 1cm : 20cm
20cm
4cm
24cm 6m
Scale 5cm : 1cm
Scale 1m : 4cm

11. 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

12. 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

13. 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

14. Scale Drawings Scale 1cm : 1.5m 1.5 cm 2.25 cm 2.25m 3.375m 7 cm 10.5m
greenhouse
shed
1.5 cm
2.25 cm
2.25m
3.375m
7 cm
10.5m
6 cm 9m
patio
9 cm
13.5m

15. Scale Drawings Scale 1m : 5cm 3 m 4.5 m 15cm 22.5m 14 m 70cm 12 m 60cm
greenhouse
shed
3 m
4.5 m
15cm
22.5m
14 m
70cm
12 m
60cm
patio
18 m
90cm

16. How tall is the Eiffel Tower?
Scale: 1cm = 10m
300m
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

17. How tall is the Empire State Building?
Scale: 1 cm : 5m
380m
76cm

18. How tall is the Statue of Liberty?
Scale 1 cm = 3m
90m
Height of the statue of liberty = 90m
30cm

19. How tall is the model of Big Ben?
Scale: 1 cm : 3 m
96m
32cm
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

20. How tall is the model of Ben Nevis?
Scale 1 cm : 50 m
1350m
27cm

21. A model of a car is made using a scale of 1:10
If the door of the model is 15cm long, what is the length, in metres, of the real car door?
The scale is 1:10, so for every 1cm it is 10cm in real life
15cm (scale measurement) x 10 = 150cm
150 ÷ 100 = 1.5m
If the real length of the car is 6m, what is the length of the model in cm?
The scale is 1:10, so for every 10cm in real life it is going to 1cm on the model
6 ÷ 10 = 0.6m
0.6 x 100 = 60cm

22. Question 1 A B C D 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

23. 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

24. 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

25. 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

26. Question 5
A model is to be made of a new college which is 1125m in length. The suggested scale is 1: How long will the model be? A
9 cm B
1.5 m C
2 m D
3.5 m