1. Unit Scale Factors – Worksheet A
The worksheet is in three sizes.

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3. Unit Scale Factors
Find the area of each shape in both cm2 and m2.
Find the perimeter and area of these shapes in cm. 5m
200cm 6 7 1 5m 2
300cm
100cm 1m 4m
5.4m
3.8m 3m
300cm
300cm
1.5m 2m
150cm
Find the area of these shapes in both cm2 and m2 2m
What is the volume of these objects in cm3? 3 4 7 8
50cm 5m
2500cm2 2m 4m 1m 2m 3m
200cm 1m
50cm 1m
90cm 9 4 5
John wants to carpet 2 rectangular rooms. One room measures
1.7m by 3m. The second room is 680cm by 4 ½ m. How many
square meters of carpet will he need?
1 square meter of carpet costs £5.
How much will he need to spend?
3.5m
70cm 4m
250cm 2m 1m

4. Half Answers P = 1400 cm P = 1800 cm A = 750,000 cm2 A = 110,000 cm2
Unit Scale Factors
Find the area of each shape in both cm2 and m2.
Find the perimeter and area of these shapes in cm. 5m
200cm 6 7 1 5m 2
300cm
100cm 1m 4m
5.4m
3.8m 3m
P = 1800 cm
A = 110,000 cm2
P = 1400 cm
A = 750,000 cm2
300cm
300cm
1.5m 2m
150cm
Find the area of these shapes in both cm2 and m2 2m
What is the volume of these objects in cm3? 3 4 7 8
50cm 5m
2500cm2 2m
A = 115,000 cm2,
11.5 m2 4m
A = 37,500 cm2,
3.75 m2 1m 2m 3m
200cm 1m
50cm 1m
Half Answers
90cm 9 4 5
John wants to carpet 2 rectangular rooms. One room measures
170 cm by 3 m. The second room is 680 cm by 4 ½ m. How many
square meters of carpet will he need?
1 square meter of carpet costs £5.
How much will he need to spend?
3.5m
70cm 4m
A = 12,500 cm2,
1.25 m2
250cm
A = 73,000 cm2,
7.3 m2 2m 1m

5. Unit Scale Factors
Find the area of each shape in both cm2 and m2.
Find the perimeter and area of these shapes in cm. 5m
200cm 6 7 1 5m 2
300cm
100cm 1m 4m
A = 61,000 cm2,
6.1 m2
5.4m
3.8m 3m
A = 256,000 cm2,
25.6 m2
P = 1800 cm
A = 110,000 cm2
P = 1400 cm
A = 750,000 cm2
300cm
150cm
300cm
1.5m 2m
Find the area of these shapes in both cm2 and m2 2m
What is the volume of these objects in cm3? 3 4 7 8
50cm 5m
2500cm2
V = 3,000,000 cm3 2m
A = 115,000 cm2,
11.5 m2 4m
A = 37,500 cm2,
3.75 m2 1m 2m 3m
200cm 1m
50cm
V = 1,000,000 cm3 1m
90cm 9 4 5
John wants to carpet 2 rectangular rooms. One room measures
170 cm by 3 m. The second room is 680 cm by 4 ½ m. How many
square meters of carpet will he need?
1 square meter of carpet costs £5.
How much will he need to spend?
3.5m
70cm 4m
A = 12,500 cm2,
1.25 m2
A = 35.7 m2
250cm
A = 73,000 cm2,
7.3 m2 2m
£180 1m

8. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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