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Measures and Units 1
Choosing “sensible” units
inches
km ml
cm kg
miles
Converting between units
Distance
Volume
Mass
Height
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Measures 1 Menu
Choosing “sensible” units
Converting between units
1 2 3 4 Pairing Exercises
Examples
Examples
View Application GridIntroduction
1 2 3
1 2 3
1 2 3
1 2 3
Converting km and miles
Converting kg and stone
Converting mixture of units
Converting cm and inches
Standard Conversions
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Measures and Units 1
View Application Grid
This unit explores two aspects of using measures: • Making sensible estimates of measurements • Converting quickly between different units It uses the following approaches: • Explanations and Examples• Pairing activities
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Measures and Units 1
How much do you think
I weigh?
80 kilometres = 50 miles ??TRUE
or FALSE?
TRUE !!
About 4 tonnes
= 4000 kg
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Measures and Units 1
Half a pint is about how many
millilitres??
8 stone is about 80 kg ?? TRUEor
FALSE?FALSE!!
About 0.284 litre
= 28 ml
8 stone is actually about 50 kg
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“Sensible” Measures Examples
Getting a feel for the right estimate?
Here are some examples to estimate?
The answers are “estimates” so other amounts may also be acceptable!!
The height of a house? (m) 20 metres
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“Sensible” Measures Examples Continued
The volume of a jam jar? (l) 0.5 litre
The weight of a dog ? (kg) 20 kg
London to Newcastle? (km) 450 km
The area of a classroom? (m2) 50 m2
Weight of a loaf of bread? (g) 800g
From Earth to the Moon? (km) 400 000 km
Make an estimate for each of these!!
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1. Volume of a can of drink
2. From Leeds to Sheffield
3. The weight of a coin
4. Length of a finger
5. From Earth to the Moon
6. A tank of petrol
C. 330 millilitres
D. 55 kilometres
F. 5 grams
A. 7 centimetres
B. 400000 kilometres
E. 30 litres
SENSIBLE PAIRS EXAMPLE
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1. Volume of a can of drink C. 330 millilitres
2. From Leeds to Sheffield D. 55 kilometres
3. The weight of a coin F. 5 grams
4. Length of a finger A. 7 centimetres
5. From Earth to the Moon B. 400000 kilometres
6. A tank of petrol E. 30 litres
SENSIBLE PAIRS EXAMPLE
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1. The weight of a baby
D. 4 kilograms
2. The length of a pencil
F. 14 centimetres
3. The length of a car
E. 4 metres
4. A bag of sugar weighs ...
B. 1 kilogram
5. The height of a tree
A. 20 metres
6. A tennis ball weighs ...
C. 40 grams
SENSIBLE PAIRS 1
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1. The weight of a baby D. 4 kilograms
2. The length of a pencil F. 14 centimetres
3. The length of a car E. 4 metres
4. A bag of sugar weighs ... B. 1 kilogram
5. The height of a tree A. 20 metres
6. A tennis ball weighs ... C. 40 grams
SENSIBLE PAIRS 1
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1. Volume of a bottle of wine
B. 1 litre 2. From London to Brighton
F. 65 kilometres
3. The volume of a bucket
E. 12 litres
4. Length of a sprint race
A. 100 metres
5. From Earth to the Moon
D. 400000 kilometres
6. A spoonful of medicine
C. 5 millilitres
SENSIBLE PAIRS 2
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1. Volume of a bottle of wine B. 1 litre
2. From London to Brighton F. 65 kilometres
3. The volume of a bucket E. 12 litres
4. Length of a sprint race A. 100 metres
5. From Earth to the Moon D. 400000 kilometres
6. A spoonful of medicine C. 5 millilitres
SENSIBLE PAIRS 2
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1. From London to Newcastle
C. 500 kilometres
2. A good high jump
D. 2 metres
3. Weight of a woman
A. 60 kilograms
4. Height of a house
E. 15 metres 5. From London to Bristol
F. 160 kilometres 6. Weight of a small bird
B. 50 grams
SENSIBLE PAIRS 3
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1. From London to Newcastle C. 500 kilometres
2. A good high jump D. 2 metres
3. Weight of a woman A. 60 kilograms
4. Height of a house E. 15 metres
5. From London to Bristol F. 160 kilometres
6. Weight of a small bird B. 50 grams
SENSIBLE PAIRS 3
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1. Marathon run
F. 42 kilometres
2. From London to New York
D. 8000 kilometres
3. Volume of water in a bath
E. 200 litres
4. A bucket of sand weighs
A. 10 kilograms
5. Volume of drink in a can
B. 330 millilitres
6. Weight of a car
C. 2000 kilograms
SENSIBLE PAIRS 4
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1. Marathon run F. 42 kilometres
2. From London to New York D. 8000 kilometres
3. Volume of water in a bath E. 200 litres
4. A bucket of sand weighs A. 10 kilograms
5. Volume of drink in a can B. 330 millilitres
6. Weight of a car C. 2000 kilograms
SENSIBLE PAIRS 4
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Converting Units Examples
This section is on “quick conversions” between Imperial and Metric units.
Here are some examples of calculations that can be used to estimate conversions.
Basic conversions need memorising!!!
15 miles = km ? Use ...
15 divided by 5 = 3 3 x 8 = 24 km
5 miles = 8 km
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Converting Units Examples 1
5 inches = cm ? Use ...
2 x 5 + 0.5 x 5 = 10 + 2.5 = 12.5 cm (approx.) (12.7)
1 inch = 2.54 cm
80 km = miles ? Use ...
80 divided by 8 =10 10 x 5 = 50 miles
8 km = 5 miles
20 inches = cm ? Use ...
2 x 20 + 0.5 x 20 = 40 + 10 = 50 cm (approx.) (50.8)
1 inch = 2.54 cm
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Converting Units Examples 2
8 gal. = litres ? Use ...
4 x 8 + 0.5 x 8 = 32 + 4 = 36 litres (approx.) (36.32)
1 gal. = 4.54 l
10 stone = kg ? Use ...
6 x 10 + 0.5 x 10 = 60 + 5 = 65 kg (approx.) (63.6)
1 stone = 6.36 kg
4 inches = cm ? Use ...
2 x 4 + 0.5 x 4 = 8 + 2 = 10 cm (approx.) (10.16)
1 inch = 2.54 cm
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Converting Units Examples 3
20 gal. = litres ? Use ...
4 x 20 + 0.5 x 20 = 80 + 10 = 90 l (approx.) (90.8)
1 gal. = 4.54 l
6 stone = kg ? Use ...
6 x 6 + 0.5 x 6 = 36 + 3 = 39 kg (approx.) (38.16)
1 stone = 6.36 kg
200 miles = km ? Use ...
200 divided by 5 = 40 40 x 8 = 320 km
5 miles = 8 km
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Converting Units Examples 4
7 inches = cm ? Use ...
2 x 7 + 0.5 x 7 = 14 + 3.5 = 17.5 cm (approx.) (17.78)
1 inch = 2.54 cm
80 km = miles ? Use ...
80 divided by 8 =10 10 x 5 = 50 miles
8 km = 5 miles
11 stone = kg ? Use ...
6 x 11 + 0.5 x 11 = 66 + 5.5 = 71.5 kg(approx.) (69.96)
11stone = 6.36 kg
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Imperial - Metric Conversions
1 inch = 2.54 cm1 foot = 30.48 cm1 yard = 0. 9144 m
1 mile = 1.6 km5 miles = 8 km
1 lb = 0.454 kg1 stone = 6.36 kg
1 gallon = 4.54 litres1 pint = 0.57 litre
1 cm = 0.39 inch100 cm = 39 inches
1m = 39 inches
1 km = 0.625 mile8km = 5 miles
1 kg = 2.2 lbs
1 litre = 1.76 pints10 litres = 2.2 gallons
Some approximate!!!
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Key Conversions
1 inch = 2.54 centimetres Example 12 inches = ??
2 x 12 + 0.5 x 12 = 24 + 6 = 30cm (30.48 cm)
5 miles = 8 kilometres Example 30 miles = ??
30 divided by 5 = 6 6 x 8 = 48 km
1 stone = 6.4 kilograms (approx) Example 8 stone = ??
6 x 8 + 0.5 x 8 = 48 + 4 = 52 kg (51.2 kg)
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1. 8 kilometres
E. 5 miles
2. 40 kilometres
C. 25 miles 3. 160 kilometres
F. 100 miles
4. 48 kilometres
A. 30 miles
5. 80 kilometres D. 50 miles
6. 16 kilometres
B. 10 miles
Metric Units Imperial Units
“km and miles” 1
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1. 8 kilometres E. 5 miles
2. 40 kilometres C. 25 miles
3. 160 kilometres F. 100 miles
4. 48 kilometres A. 30 miles
5. 80 kilometres D. 50 miles
6. 16 kilometres B. 10 miles
Metric Units Imperial Units
“km and miles” 1
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1. 24 kilometres
B. 15 miles 2. 800 kilometres
D. 500 miles
3. 56 kilometres
E. 35 miles
4. 4 kilometres
C. 2.5 miles
5. 80 kilometres
F. 50 miles 6. 8 kilometres
A. 5 miles
Metric Units Imperial Units
“km and miles” 2
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1. 24 kilometres B. 15 miles
2. 800 kilometres D. 500 miles
3. 56 kilometres E. 35 miles
4. 4 kilometres C. 2.5 miles
5. 80 kilometres F. 50 miles
6. 8 kilometres A. 5 miles
Metric Units Imperial Units
“km and miles” 2
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1. 72 kilometres
B. 45 miles 2. 160 kilometres
D. 100 miles
3. 40 kilometres
F. 25 miles
4. 12 kilometres
E. 7.5 miles 5. 8 kilometres
A. 5 miles
6. 320 kilometres
C. 200 miles
Metric Units Imperial Units
“km and miles” 3
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1. 72 kilometres B. 45 miles
2. 160 kilometres D. 100 miles
3. 40 kilometres F. 25 miles
4. 12 kilometres E. 7.5 miles
5. 8 kilometres A. 5 miles
6. 320 kilometres C. 200 miles
Metric Units Imperial Units
“km and miles” 3
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1. 2.5 centimetres
C. 1 inch
2. 50 centimetres
F. 20 inches
3. 10 centimetres
E. 4 inches
4. 25 centimetres
A. 10 inches
5. 100 centimetres
D. 40 inches
6. 75 centimetres
B. 30 inches
Metric Units Imperial Units
“cm and inches” 1
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1. 2.5 centimetres C. 1 inch
2. 50 centimetres F. 20 inches
3. 10 centimetres E. 4 inches
4. 25 centimetres A. 10 inches
5. 100 centimetres D. 40 inches
6. 75 centimetres B. 30 inches
Metric Units Imperial Units
“cm and inches” 1
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1. 125 centimetres
F. 40 inches
2. 150 centimetres
A. 60 inches
3. 60 centimetres
D. 24 inches 4. 2.5 centimetres
E. 1 inch 5. 30 centimetres
B. 12 inches
6. 10 centimetres
C. 4 inches
Metric Units Imperial Units
“cm and inches” 2
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1. 125 centimetres F. 40 inches
2. 150 centimetres A. 60 inches
3. 60 centimetres D. 24 inches
4. 2.5 centimetres E. 1 inch
5. 30 centimetres B. 12 inches
6. 10 centimetres C. 4 inches
Metric Units Imperial Units
“cm and inches” 2
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1. 25.4 centimetres
D. 10 inches
2. 127 centimetres
C. 50 inches 3. 30.5 centimetres
F. 12 inches
4. 100 centimetres
E. 39.4 inches 5. 2.54 centimetres
B. 1 inch
6. 10 centimetres
A. 3.94 inches
Metric Units Imperial Units
More accurate !! “cm and inches” 3
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1. 25.4 centimetres D. 10 inches
2. 127 centimetres C. 50 inches
3. 30.5 centimetres F. 12 inches
4. 100 centimetres E. 39.4 inches
5. 2.54 centimetres B. 1 inch
6. 10 centimetres A. 3.94 inches
Metric Units Imperial Units
“cm and inches” 3 More accurate !!
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1. 6 kilograms
E. 1 stone 2. 100 kilograms
F. 17 stone
3. 60 kilograms
D. 10 stone 4. 30 kilograms
A. 5 stone
5. 24 kilograms B. 4 stone
6. 48 kilograms
C. 8 stone
Metric Units Imperial Units
“kg and stone” 1 Rough estimates!!
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1. 6 kilograms E. 1 stone
2. 100 kilograms F. 17 stone
3. 60 kilograms D. 10 stone
4. 30 kilograms A. 5 stone
5. 24 kilograms B. 4 stone
6. 48 kilograms C. 8 stone
Metric Units Imperial Units
“kg and stone” 1 Rough estimates!!
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1. 18 kilograms
E. 3 stone
2. 120 kilograms
A. 20 stone
3. 36 kilograms
F. 6 stone
4. 30 kilograms
B. 5 stone
5. 70 kilograms
C. 11 stone
6. 6 kilograms
D. 1 stone
Metric Units Imperial Units
“kg and stone” 2 Rough estimates!!
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1. 18 kilograms C. 3 stone
2. 120 kilograms F. 20 stone
3. 36 kilograms D. 6 stone
4. 30 kilograms A. 5 stone
5. 70 kilograms C. 11 stone
6. 6 kilograms B. 1 stone
Metric Units Imperial Units
“kg and stone” 2 Rough estimates!!
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1. 18 kilograms
E. 3 stone
2. 90 kilograms
A. 15 stone
3. 6 kilograms
F. 1 stone
4. 30 kilograms
B. 5 stone
5. 60 kilograms
C. 10 stone
6. 42 kilograms
D. 7 stone
Metric Units Imperial Units
“kg and stone” 3 Rough estimates!!
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1. 18 kilograms E. 3 stone
2. 90 kilograms A. 15 stone
3. 6 kilograms F. 1 stone
4. 30 kilograms B. 5 stone
5. 60 kilograms C. 10 stone
6. 42 kilograms D. 7 stone
Metric Units Imperial Units
“kg and stone” 3 Rough estimates!!
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1. 1 metre
C. 39 inches
2. 30.5 centimetres
D. 1 foot
3. 2.54 centimetres
E. 1 inch
4. 10 metres
F. 11 yards
5. 80 kilometres
A. 50 miles
6. 3 metres
B. 10 feet
Metric Units Imperial Units
Mixed Units 1 Rough estimates!!
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1. 1 metre C. 39 inches
2. 30.5 centimetres D. 1 foot
3. 2.54 centimetres E. 1 inch
4. 10 metres F. 11 yards
5. 80 kilometres A. 50 miles
6. 3 metres B. 10 feet
Metric Units Imperial Units
Mixed Units 1
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1. 1600 kilometres
D. 1000 miles
2. 75 kilograms
C. 11.8 stone 3. 2.54 centimetres
F. 1 inch
4. 1625 metres
E. 1 mile 5. 31.8 kilograms
B. 5 stone
6. 400 kilometres
A. 250 miles
Metric Units Imperial Units
Mixed Units 2
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1. 1600 kilometres D. 1000 miles
2. 75 kilograms C. 11.8 stone
3. 2.54 centimetres F. 1 inch
4. 1625 metres E. 1 mile
5. 31.8 kilograms B. 5 stone
6. 400 kilometres A. 250 miles
Metric Units Imperial Units
Mixed Units 2
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1. 20 metres
C. 21.7 feet
2. 95.5 kilograms
F. 15 stone
3. 30.5 centimetres
D. 1 foot 4. 80 kilometres
E. 50 miles 5. 10 centimetres
A. 3.94 inches
6. 12 metres
B. 13 yards
Metric Units Imperial Units
Mixed Units 3