Metric / Imperial Measurements and Compound Measures
Metric
Length
1 kilometre =
Imperial
Conversion
metres
1 mile =
yards
1 mile =
km
(m)
1 yard =
feet
1 km =
miles
1 foot =
inches
1 foot =
m
(km)
1 metre =
cm
1 metre =
mm
=
cm
1 cm
mm
1 inch =
cm
=
1 metre =
Weight
1 tonne =
kilograms
1 kg =
1 kg = 2.2 lbs
( lbs )
1 oz = 28.4 g
g
1g =
milligrams
1 stone = 14 lbs
(mg)
1g=
1 ton = 2240 pounds
yd
1 pound = 16 ounces
micrograms
(lb)
( oz )
(g)
1 mg =
Capacity
1 litre (l) =
1 litre =
Temperature Celsius
g
centilitres 1 gallon =
(cl) 1 pint =
millilitres
(ml)
Fahrenheit
pints
1 litre = 1.76 pints
fliud oz. 1 litre = 0.22 gallons
1 gallon = 4.55 litres
Temp,F = 1.8 C + 32
Temp, C = 5(F-32)/9
or
Convert:
1. 2.45 kg to grams
2. 3675 grams to kg
3. 25g to mg
4. 3kg to g, then to mg
5. 0.5g to mg
6. 1.58m to cm
7. 0.54m to cm
8. 0.72m to mm
9. 0.045m to mm
10. 9.34cm to mm
ML48PS
11.
12.
13.
14.
15.
16.
17.
18.
Page 1
C = (F-32)/1.8
3750cm to m
250000mm to m
3400m to km
4.67km to m
75ml to cl
2.5 litres to ml
0.5 litres to cl
4500 cl to litres
08/03/16
Stephenson College
Imperial
12 inches = 1 foot
3 feet
= 1 yard
1760 yards = 1 mile
Length
Weight
Capacity
E.g.
GCSE Maths
Metric
Main unit: metre
1000 mm = 1 m
100 cm = 1 m
10 mm
= 1 cm
1000 m = 1 km
16 ounces (oz) = 1 pound Main unit: gram
(lb)
1000 mg = 1 g
14 lb
= 1 stone
1000 g
= 1 kg
2240 lb
= 1 ton
1000 kg = 1 tonne
20 fluid ounces = 1 pint
Main unit: litre
8 pints
= 1 gallon
1000 ml = 1 litre
100 cl
= 1 litre
1 ml
= 1 cubic
centimetre (cm³)
8st. 10lb = (8 × 14) + 10 lbs. = 122 lbs
25 pints = 25 ÷ 8 = 3 gallons 1 pint
187 cm = 187 ÷ 100 m = 1.87m
3.6 kg
Practice
1.
2.
3.
4.
5.
6.
= 3.6 × 1000 g = 3600g
convert:
9 stone 5 lbs
to lbs
100 lbs
to stones and lbs
28 oz
to lbs and oz
4 ft 3 in to inches
80 inches to feet and inches
3.5 gallons
to pints
Conversion between systems
Length
1 inch = 2.54 cm
1 foot = 30.5 cm
1 mile = 1.609 km
1 metre = 39.4 in.
1 km = 0.621 miles
HM Lorimer
1 oz.
1 lb.
1 ton
Weight
= 28.3 g
= 454 g
= 1.02 metric tonnes
1 kg
= 2.2 lb
Capacity
1 pint = 568 ml
1 gall. = 4.55 litres
1 litre = 1.76 pints
1 litre = 0.22 galls.
2
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Stephenson College
GCSE Maths
To convert between systems:
Find the appropriate conversion factor from the table
Decide whether you want to end up with a bigger or smaller number.
Multiply or divide by the conversion factor
E.g.
Convert 100 miles to km.
Conversion factor is 1 mile = 1.609 km
Miles are bigger, so to end up with a larger number of km, multiply by 1.609
100 miles = 100 × 1.609 km = 160.9 km
E.g.
Given that 1 kg = 2.2 lb, how many grams in ¼ lb ?
1000 g = 1 kg = 2.2 lb
so 1 lb = (1000 ÷ 2.2) g = 454.5 g
and ¼ lb = 454.5 ÷ 4 = 113.6 g
Difficult example: My car averages 26.8 miles per gallon. How many miles
per litre is this?
1 gallon = 4.55 litres
Since litres are smaller than gallons we will go fewer miles, so divide by 4.55.
26.8 miles per gallon = 26.8 ÷ 4.55 = 5.89 miles per litre.
ALWAYS write down the units when doing these conversions.
Practice Questions
Convert:
1.
2.
3.
4.
5.
6.
7.
8.
135 lbs to stones and lbs
8 stone 9 lbs to lbs
140 lbs to kg
67 kg to lbs, and then to stones and lbs
3850 g to kg
0.25 kg to g
4.1 kg to lbs
7 lbs 10 oz to g
9.
10.
11.
12.
13.
14.
15.
16.
17.
192 cm to m
63 cm to mm
2.45 m to mm
5 ft 4 in to inches
5ft 4 in to cm
1.7m to feet and inches
8 inches to cm
25 miles to km
80 km to miles
18.
19.
1 litre to pints
50 litres to gallons
HM Lorimer
3
533576161
Stephenson College
20.
21.
22.
GCSE Maths
2 gallons to litres
35o C to oF
70oF to oC
HM Lorimer
4
533576161
Stephenson College
GCSE Maths
Convert:
1. 2.45 kg to grams
2450g
2. 3675 grams to kg
3.675kg
3. 25g to mg
25000mg
4. 3kg to g, then to mg 3000g =
5. 0.5g to mg
500g
6. 1.58m to cm
158cm
7. 0.54m to cm
54cm
8. 0.72m to mm
720mm
9. 0.045m to mm
45mm
10. 9.34cm to mm
93.4mm
11. 3750cm to m
37.5m
12. 250000mm to m
250m
13. 3400m to km
3.4km
14. 4.67km to m
4670m
15. 75ml to cl
7.5cL
16. 2.5 litres to ml
2500mL
17. 0.5 litres to cl
50cL
18. 4500 cl to litres
45 L
Practice
7.
8.
9.
10.
11.
12.
3,000,000mg
convert:
9 stone 5 lbs to lbs
100 lbs to stones and lbs
28 oz to lbs and oz
4 ft 3 in to inches
80 inches to feet and inches
3.5 gallons to pints
131 lbs
7 st 2 lbs
1 lb 12 oz
51 in.
6 ft 8 in.
28 pints
Convert:
23.
135 lbs to stones and lbs
(9st 9lbs)
24.
8 stone 9 lbs to lbs
(121 lbs)
25.
140 lbs to kg (63.64kg)
26.
67 kg to lbs, and then to
stones and lbs (147.4 lbs,
10st 7 lbs)
27.
3850 g to kg (3.85kg)
28.
0.25 kg to g (250g)
29.
4.1 kg to lbs (9.02 lbs)
30.
7 lbs 10 oz to g (3465.9g)
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
44.
192 cm to m (1.92m)
63 cm to mm (630mm)
HM Lorimer
5
2.45 m to mm (2450mm)
5 ft 4 in to inches (64 in.)
5ft 4 in to cm
(162.6 cm)
1.7m to feet and inches
( 5ft 7in.)
8 inches to cm (20.3 cm)
25 miles to km (40 km)
80 km to miles (50 miles)
1 litre to pints (1.76 pints)
50 litres to gallons
(3.55 gal)
2 gallons to litres (9.09 l)
35o C to oF
(95o F)
o
o
70 F to C
(21.1o C)
533576161
Stephenson College
GCSE Maths
Estimates of sizes of everyday objects
Give examples of everyday things whose…….
weight is
1kg
250g
25 kg
50 kg
8 oz.
1 lb
1 stone
length / height is
1 mm
1 cm
1m
1 km
1 inch
1 foot
1 yard
1 mile
volume is
5 ml
1 litre
1 pint
1 gallon
Estimate these sizes in both metric and Imperial measurements
Metric
Imperial
Weight of a new born baby
Height of a medium sized adult woman
Length of a car
Length of an adult thumb
Hand span
Weight of an adult female
(medium size or range of “common” weights)
Height of a door
Height of a room
Width of a pencil line
Volume of an old-fashioned milk bottle
HM Lorimer
6
533576161