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Ivy Maths

Reference

Key Measures

Learn the units, relationships and conventions used to measure length, mass, capacity, time, money and more.

1 kilometres = 1000 metres

The Rules

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The Units

44 units

Length

Metric length steps up and down in thousands, hundreds and tens.

1 kilometre= 1000 metres
1 metre= 100 centimetres
1 metre= 1000 millimetres
1 centimetre= 10 millimetres

Mass

Weight in the metric system works in thousands.

1 tonne= 1000 kilograms
1 kilogram= 1000 grams
1 gram= 1000 milligrams

Capacity

Liquid measure, and the litre that links to volume.

1 litre= 1000 millilitres
1 litre= 1000 cubic centimetres
1 centilitre= 10 millilitres

Time

The one system that does not work in tens.

1 minute= 60 seconds
1 hour= 60 minutes
1 day= 24 hours
1 week= 7 days
1 year= 365 days
1 leap year= every 4 years

Money

Pounds and pence, and the way amounts are written.

£1= 100 pence
50p= £0.50
£2.05= two pounds and five pence

Area

Area units square the length step, so the factors square too.

1 cm²= 100 mm²
1 m²= 10 000 cm²
1 hectare= 10 000 m²
1 km²= 100 hectares

Volume

Volume cubes the length step, so the factors cube too.

1 cm³= 1000 mm³
1 m³= 1 000 000 cm³
1 m³= 1000 litres

Metric and Imperial

These are approximate. Use them for checking an answer is sensible, not for exact work.

1 inch2.54 cm
1 foot30 cm
1 mile1.6 km
1 kilogram2.2 pounds
1 stone6.35 kg
1 litre1.75 pints
1 gallon4.5 litres

Temperature

Two scales, and the rule for turning one into the other.

Water freezes= 0 °C, 32 °F
Water boils= 100 °C, 212 °F
°C to °F= × 9 ÷ 5 then + 32
°F to °C= − 32 then × 5 ÷ 9