Activities
7.5 Converting measurements
Tutor guidance notes
Aims and objectives
At the end of these activity sheets, learners should be able to:
 convert between different metric units of length, mass and capacity
 convert between metric and imperial units of length, mass and capacity.
These questions and activities are not intended as formal assessment. However,
the answers should be discussed with the learners as a group to ensure they
have full comprehension of the subject.
Individual teachers will use these questions and activities in different ways. They
could be used at the end of a session to recap; used individually during the
session as a ‘to-the-point’ learning tool; or used as homework. Whichever
teaching method is chosen, make sure that you set and agree upon a completion
date for each activity.
The answers given are not exhaustive and are to be used as a guide only.
Alternative, appropriate answers may be considered.
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Activities
Candidate name:
Date:
7.5 Converting measurements
Chapter 7: Numeracy skills
Aims and objectives
At the end of these activity sheets, you should be able to:
 convert between different metric units of length, mass and capacity
 convert between metric and imperial units of length, mass and capacity.
Show your workings for all calculations.
1
a
Name four metric units of length.
___________________________________________________________
___________________________________________________________
___________________________________________________________
___________________________________________________________
b
Name three metric units of mass.
___________________________________________________________
___________________________________________________________
___________________________________________________________
c
Name three metric units of capacity.
___________________________________________________________
___________________________________________________________
___________________________________________________________
2
a
What does ‘milli’ mean?
_________________________________
b
What does ‘centi’ mean?
_________________________________
c
What does ‘kilo’ mean?
_________________________________
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Activities
3
4
5
6
Are these pairs of equivalent metric measurements correct? Write ‘correct’
or ‘incorrect’ next to each one, and write the correct answers.
a
1 kg = 1000 g
____________________________________
b
1 tonne = 100 g
____________________________________
c
1000 mm = 10 cm
____________________________________
d
100 cl = 10 l
____________________________________
e
1 cm = 10 mm
____________________________________
f
250 ml = 0.25 l
____________________________________
g
7 km = 70 000 m
____________________________________
h
300 ml = 30 cl
____________________________________
Convert the following lengths to millimetres.
a
34.6 cm
____________________________________
b
567 cm
____________________________________
c
1.83 m
____________________________________
d
2 m 52 cm
____________________________________
Convert the following masses to grams.
a
7.2 kg
____________________________________
b
21 kg
____________________________________
c
2.5 tonnes
____________________________________
d
8 kg 345 g
____________________________________
Convert the following capacities to millilitres.
a
49 cl
____________________________________
b
3.4 l
____________________________________
c
2 l 720 ml
____________________________________
d
78.2 cl
____________________________________
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Activities
7
8
Add these sets of lengths, giving the totals in millimetres.
a
76 cm + 450 mm + 23 cm + 2.45 m
b
394 mm + 463 cm + 3.1 m + 23.7 cm
c
6.52 m + 89.3 cm + 12 mm + 12.75 m
a
Name four imperial units of length.
___________________________________________________________
___________________________________________________________
___________________________________________________________
___________________________________________________________
b
Name three imperial units of mass.
___________________________________________________________
___________________________________________________________
___________________________________________________________
c
Name two imperial units of capacity.
___________________________________________________________
___________________________________________________________
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Activities
9
10
Are these pairs of equivalent metric and imperial measurements correct?
Write ‘correct’ or ‘incorrect’ next to each one, and write the correct
answers.
a
1 inch = 2 cm
____________________________________
b
1 ounce = 25 g
____________________________________
c
1 litre = 1.75 pints
____________________________________
d
1 foot = 12 cm
____________________________________
e
1 kg = 2 pounds
____________________________________
f
1 gallon = 4.5 litres
____________________________________
g
5 miles = 9 km
____________________________________
a
If a piece of timber is 6 feet long, what is its approximate length in
metres? ________________________________________________
b
If a container of wood stain contains 25 litres, what is its approximate
capacity in pints? ________________________________________
c
If a woodworking vice weighs 7.25kg, what is its approximate mass in
pounds? _______________________________________________
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Activities
7.5 Converting measurements
Chapter 7: Numeracy skills
Answers
1
a
Name four metric units of length.
millimetres (mm)
centimetres (cm)
metres (m)
kilometres (km)
b
Name three metric units of mass.
grams (g)
kilograms (kg)
tonnes (t)
c
Name three metric units of capacity.
millilitres (ml)
centilitres (cl)
litres (l)
2
a
b
c
3
Are these pairs of equivalent metric measurements correct? Write ‘correct’
or ‘incorrect’ next to each one, and write the correct answers.
a
b
c
d
e
f
g
h
4
What does ‘milli’ mean? one thousandth
What does ‘centi’ mean? one hundredth
What does ‘kilo’ mean? one thousand
1 kg = 1000 g
1 tonne = 100 g
1000 mm = 10 cm
100 cl = 10 l
1 cm = 10 mm
250 ml = 0.25 l
7 km = 70 000 m
300 ml = 30 cl
correct
incorrect
incorrect
incorrect
correct
correct
incorrect
correct
1 tonne = 1000 kg
1000 mm = 100 cm
100 cl = 1 l
7 km = 7000 m
Convert the following lengths to millimetres.
a
b
c
d
34.6 cm
567 cm
1.83 m
2 m 52 cm
34.6 × 10 = 346 mm
567 × 10 = 5670 mm
1.83 × 1000 = 1830 mm
2.52 × 1000 = 2520 mm
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Activities
5
Convert the following masses to grams.
a
b
c
d
6
7.2 × 1000 = 7200 g
21 × 1000 = 21 000 g
2.5 × 1 000 000 = 2 500 000 g
8.345 × 1000 = 8345 g
Convert the following capacities to millilitres.
a
b
c
d
7
7.2 kg
21 kg
2.5 tonnes
8 kg 345 g
49 cl
3.4 l
2 l 720 ml
78.2 cl
49 × 10 = 490 ml
3.4 × 1000 = 3400 ml
2.720 × 1000 = 2720 ml
78.2 × 10 = 782 ml
Add these sets of lengths, giving the totals in millimetres.
a
76 cm + 450 mm + 23 cm + 2.45 m
760 mm + 450 mm + 230 mm + 2450 mm
2450
760
450
+
230
3 8 9 0 mm
1 1
b
394 mm + 463 cm + 3.1 m + 23.7 cm
394 mm + 4630 mm + 3100 mm + 237 mm
4630
3100
394
+
237
8 3 6 1 mm
1 1 1
c
6.52 m + 89.3 cm + 12 mm + 12.75 m
6520 mm + 893 mm + 12 mm + 12750 mm
12750
6520
893
+
12
2 0 1 7 5 mm
1 2 1
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Activities
8
a
Name four imperial units of length.
inches
feet
yards
miles
b
Name three imperial units of mass.
ounces
pounds
stones
c
Name two imperial units of capacity.
pints
gallons
9
10
Are these pairs of equivalent metric and imperial measurements correct?
Write ‘correct’ or ‘incorrect’ next to each one, and write the correct
answers.
a
b
c
d
e
f
g
1
1
1
1
1
1
5
inch = 2 cm
ounce = 25 g
litre = 1.75 pints
foot = 12 cm
kg = 2 pounds
gallon = 4.5 litres
miles = 9 km
incorrect
correct
correct
incorrect
incorrect
correct
incorrect
1 inch = 2.5 cm
a
If a piece of timber is 6 feet long, what is its approximate length in
metres? 6 × 30 cm = 180 cm = 1.8 m
b
If a container of wood stain contains 25 litres, what is its approximate
capacity in pints? 25 × 1.75 pints = 43.75 pints
c
If a woodworking vice weighs 7.25kg, what is its approximate mass in
pounds? 7.25 × 2.2 pounds = 15.95 pounds
1 foot = 30 cm
1 kg = 2.2 pounds
5 miles = 8 km
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