One to one maths interventions built for KS4 success

Weekly online one to one GCSE maths revision lessons now available

This topic is relevant for:

Here we will learn about metric units of measurement. We will look at common units of measurement in the metric system of measurement and how they are used.

There are also metric units of measurement worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

**Metric units of measurement** are the metric units of measurements used for different quantities.

The **metric system **of units of measurement is based on powers of 10.

Prefixes are used to indicate which power of 10 is involved.

The prefix “**centi**” means \frac{1}{100} th

E.g.

A **centi**metre is \frac{1}{100} th of a metre.

A **centi**metre is \frac{1}{100} th of a litre

The prefix “**milli**”** **means \frac{1}{1000} th

E.g.

A **milli**metre is \frac{1}{1000} th of a metre.

A **milli**litre is \frac{1}{1000} th of a litre.

The prefix “**kilo**” which means 1000 times larger.

E.g.

A **kilo**metre is 1000 times larger than a metre.

E.g.

The metric unit of measurement for length is the metre (m) ,

The metric unit of measurement for mass is the gram (g) ,

The metric unit of measurement for capacity is the litre (l) .

For smaller quantities or larger quantities we can adapt these units of measurement using **prefixes **which are used in front of the base unit.

The main ones used are kilo, centi and milli.

For distances between towns we can use kilometres (km) .

For the height of a tree we can use a metre (m) .

For the width of a book we can use centimetres (cm) .

For small items such as a paperclip we can use the smaller unit of measurement, millimetres (mm) .

To weigh people we use kilograms (kg) .

To weigh single pieces of fruit or vegetables we would use grams (g) .

For the weight of a car we could use a less common unit of mass which is the tonne (t). \; 1 tonne is 1000 \ kg .

For the capacity of a bath, or a pond or a bucket we would use litres (l) .

For smaller items such as a cup we would use the smaller unit millilitres (ml) .

Sometimes bottles and cans of drink use a less common unit of capacity.

In order to choose a metric unit of measurement:

**Consider the quantity.****Consider the size.****Write down the most sensible choice.**

Get your free metric units of measurements worksheet of 20+ questions and answers. Includes reasoning and applied questions.

COMING SOONGet your free metric units of measurements worksheet of 20+ questions and answers. Includes reasoning and applied questions.

COMING SOONWrite down a sensible metric unit of measurement for:

The width of a calculator.

**Consider the quantity.**

We need a length, so we need to consider the measurement units based on the metre.

2**Consider the size.**

A calculator could be measured by a 15 \ cm or 30 \ cm ruler. So, centimetres might be the best metric unit of measurement.

3**Write down the most sensible choice.**

Centimetres is the most sensible unit of measurement for the width of a calculator.

Write down a sensible metric unit of measurement for:

The distance between London and Paris.

**Consider the quantity.**

We need a length, so we need to consider the measurement units based on the metre.

**Consider the size.**

The distance between two cities is far. So, kilometres might be the best metric unit of measurement.

**Write down the most sensible choice.**

Kilometres is the most sensible unit of measurement for the distance between London and Paris.

Write down a sensible metric unit of measurement for:

The mass of a cow

**Consider the quantity.**

We need a mass, so we need to consider either grams or kilograms.

**Consider the size.**

A cow is large, so we can choose the larger unit.

**Write down the most sensible choice.**

Kilograms is the most sensible unit of measurement for the mass of a cow.

Write down a sensible metric unit of measurement for:

The mass of a pencil.

**Consider the quantity.**

We need a mass, so we need to consider either grams or kilograms.

**Consider the size.**

A pencil is small, so we can choose the smaller unit.

**Write down the most sensible choice.**

Grams is the most sensible unit of measurement for the mass of a pencil.

Write down a sensible metric unit of measurement for:

The volume of a tea cup.

**Consider the quantity.**

We need a capacity, so we need to consider either litres or millilitres

**Consider the size.**

A teacup is small, so we can choose the smaller unit.

**Write down the most sensible choice.**

Millilitres is the most sensible unit of measurement for the capacity of a tea cup.

Write down a sensible metric unit of measurement for:

The volume of a pond.

**Consider the quantity.**

We need a capacity, so we need to consider either litres or millilitres

**Consider the size.**

A pond is large, so we can choose the larger unit.

**Write down the most sensible choice.**

Litres is the most sensible unit of measurement for the capacity of a pond.

**Metric or imperial units**

A common error is to confuse metric units with Imperial units of measurement. Imperial units are an older system of measurements but some are still used in everyday life.

E.g.

1 \ inch≈2.5 \ cm

1 \ foot≈30 \ cm

1 \ mile≈1.5 \ km

1. Choose the most sensible metric unit to measure:

The height of a building

metres

kilograms

inches

millimetres

We need a unit for length – so kilograms can be ruled out. We need a metric unit – so inches can be ruled out. A building is large, so metres are the best unit.

2. Choose the most sensible metric unit to measure:

The weight of a tins of beans

kilograms

ounces

millilitres

grams

We need a unit for mass – so millilitres can be ruled out. We need a metric unit – so ounces can be ruled out. The weight of a tin of beans is small, so grams are the best unit.

3. Choose the most sensible metric unit to measure:

The thickness of an exercise book

metres

millimetres

yards

millilitres

We need a unit for length – so millilitres can be ruled out. We need a metric unit – so yards can be ruled out. The thickness of an exercise book is very small, so millimetres are the best unit.

4. Choose the most sensible metric unit to measure:

The volume of a teaspoon

kilograms

pints

millilitres

litres

We need a unit for capacity – so kilograms can be ruled out. We need a metric unit – so pints can be ruled out. The volume of a teaspoon is very small, so millilitres are the best unit.

5. Choose the most sensible metric unit to measure:

The weight of a sheep

grams

kilograms

stones

centimetres

We need a unit for mass – so centimetres can be ruled out. We need a metric unit – so stones can be ruled out. The weight of a sheep is large, so kilograms are the best unit.

6. Choose the most sensible metric unit to measure:

The volume of a lake

kilometres

litres

millilitres

gallons

We need a unit for capacity – so kilometres can be ruled out. We need a metric unit – so gallons can be ruled out. The volume of a lake is very large, so litres are the best unit.

1. Circle the best metric unit of measurement for:

The weight of a mouse

centimetres kilograms ounces grams

**(1 marks)**

Show answer

grams

**(1)**

2. Circle the best metric unit of measurement for:

The volume of a swimming pool

gallons litres kilograms millilitres

**(1 marks)**

Show answer

litres

**(1)**

3. Write down a sensible metric unit of measurement for:

(a) The weight of a person

(b) The width of a table

(c) The volume of water in a glass

**(3 marks)**

Show answer

kilograms

**(1)**

centimetres

**(1)**

centimetres

**(1)**

You have now learned how to:

- Choose the most sensible metric units for measuring different quantities

- Conversion of units
- Converting metric units
- Converting units of area and volume
- Inaccuracies of measurements

Prepare your KS4 students for maths GCSEs success with Third Space Learning. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors.

Find out more about our GCSE maths revision programme.

x
#### FREE GCSE Maths Practice Papers - 2022 Topics

Download free

Practice paper packs based on the advanced information for the Summer 2022 exam series from Edexcel, AQA and OCR.

Designed to help your GCSE students revise some of the topics that will come up in the Summer exams.