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Step-by-step practice: Maths · Level 3Chapter 9 · Length and mass
Step-by-step Maths Level 3 · Length and mass · Lesson 9.1

Step-by-step Maths Level 3: Choosing metres, centimetres, kilograms and grams

Part of the Step-by-step Maths Level 3 length and mass chapter. Chapter overview · whole chapter on one page

9.1

Choosing metres, centimetres, kilograms and grams

Level 3
Choose and use metres or centimetres to estimate and measure a length, Choose and use kilograms or grams to estimate and weigh a mass

Length is how long something is. Use metres (m) for big things, and centimetres (cm) for small things.

Mass is how heavy something is. Use kilograms (kg) for heavy things, and grams (g) for light things.

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A ruler: the orange line is 8 cm long.

Key ideas

  • m and cm measure length.
  • kg and g measure mass.
  • Small things use cm and g. Big or heavy things use m and kg.
Worked example 9.1.1
Choose the best unit to measure the length of a pencil: centimetres or metres?

Method. Choose the unit that fits the size of the object.

  1. Think about how big or heavy it is. A pencil is about the size of a thing we can check easily.
    a pencil
  2. Choose the unit that fits. Big things are measured in metres. Small things are measured in centimetres.
    cm
  3. Write the answer. This is the unit to use.
    cm

Check. Think of a thing that is about the same size, so you can picture the unit.

Watch out. Metres and kilograms are large. Centimetres and grams are small.

Worked example 9.1.2
Choose the best unit to weigh a bag of sugar: kilograms or grams?

Method. Choose the unit that fits the size of the object.

  1. Think about how big or heavy it is. A bag of sugar is about the size of a thing we can check easily.
    a bag of sugar
  2. Choose the unit that fits. Heavy things are weighed in kilograms. Light things are weighed in grams.
    kg
  3. Write the answer. This is the unit to use.
    kg

Check. Think of a thing that is about the same size, so you can picture the unit.

Watch out. Metres and kilograms are large. Centimetres and grams are small.

Worked example 9.1.3
Choose the best unit to measure the length of a door: metres or centimetres?

Method. Choose the unit that fits the size of the object.

  1. Think about how big or heavy it is. A door is about the size of a thing we can check easily.
    a door
  2. Choose the unit that fits. Big things are measured in metres. Small things are measured in centimetres.
    m
  3. Write the answer. This is the unit to use.
    m

Check. Think of a thing that is about the same size, so you can picture the unit.

Watch out. Metres and kilograms are large. Centimetres and grams are small.

Watch out

Watch out. A door is measured in metres, not centimetres. A paper clip is weighed in grams, not kilograms.

Exam tip

Grown-up tip. Ask: “Would you carry it, or would you need a trolley?” to help choose kg or g.

Exercise 9A  Practice: choosing units

Non-calculator
1
FChoose the best unit to measure the length of a bedroom wall: metres or centimetres?
2
FChoose the best unit to measure the length of a garden fence: metres or centimetres?
3
FChoose the best unit to measure the length of a bus: metres or centimetres?
4
FChoose the best unit to measure the length of a football pitch: metres or centimetres?
5
FChoose the best unit to measure the length of a rubber: centimetres or metres?
6
FChoose the best unit to weigh a paper clip: grams or kilograms?
7
FChoose the best unit to weigh a strawberry: grams or kilograms?
8
FChoose the best unit to weigh a bicycle: kilograms or grams?
9
FChoose the best unit to measure the length of a book: centimetres or metres?
10
FChoose the best unit to weigh a bag of apples: kilograms or grams?
11
FChoose the best unit to weigh a sheet of paper: grams or kilograms?
12
FChoose the best unit to measure the length of a pencil: centimetres or metres?
13
FChoose the best unit to weigh a bag of potatoes: kilograms or grams?
14
FChoose the best unit to measure the length of a door: metres or centimetres?
15
FChoose the best unit to weigh a bag of sugar: kilograms or grams?
16
FChoose the best unit to weigh a teaspoon of sugar: grams or kilograms?

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