Solve problems involving different units of measure | Maths

Starter quiz

How many millimetres are there in 2 cm?

20 ✓

200

2,000
How many metres are there in three kilometres?

30

300

3,000 ✓

30,000
How many pennies are there in £4.00? There are ______ p in £4.00

'400' ✓
How many centimetres are there in five metres? There are ______ cm in five metres.

'500' ✓
How many grams are there in six kilograms? Thee are ______ g in six kilograms.

'6,000' ✓
Match the fraction with the correct decimal.

$2\frac{1}{4}$

⇔

2.25 ✓

$2\frac{3}{4}$

⇔

2.75 ✓

$2\frac{7}{10}$

⇔

2.7 ✓

$2\frac{1}{5}$

⇔

2.2 ✓

Exit quiz

Match the question with the skill needed to solve it.

adding

⇔

Jun donates £ ___ to charity. Izzy donates ___ p. How much altogether? ✓

finding the difference

⇔

Andeep has a ___ kg bag of flour. He uses ___ g. How much is left? ✓

counting in groups

⇔

Aisha has a ___ m length of ribbon. How many ___ cm pieces can be cut? ✓
Jun donates £1.50 to charity and Izzy donates 75 p. How much do they donate altogether? Jun and Izzy donate ______ p altogether.

'225' ✓
Andeep has a 1 kg bag of flour. He uses 300 g. How much flour is left, in grams? ______ g

'700' ✓
Aisha has a 2.5 m length of ribbon. How many 50 cm pieces of ribbon can she cut from it? Aisha can cut ______ pieces of ribbon.

'5' ✓
Jun and Lucas are having their parcels weighed at the Post Office. Jun’s parcel has a mass of 500 g. Lucas’ parcel has a mass of $1\frac{1}{4}$ kg. The mass of both parcels together is ______ g

'1,750' ✓
Jun’s parcel has a mass of 500 g. Lucas’ parcel has a mass of $1\frac{1}{4}$ kg. How much more is the mass of Lucas’ parcel? The mass of Lucas' parcel is ______ g more than Jun's.

'750' ✓

Worksheet

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Video

Lesson Details

Key learning points

If 1m = 100cm then 3m = 3 x 100cm = 300cm
If 100cm = 1m then 500cm = 5 x 100cm = 5m

Common misconception

Some pupils may need support with the decimal representation of measures and how to convert from larger units to smaller e.g. 1.2 l into ml.

Allow pupils to go back to previous work completed where necessary to see the units of measure divided up into 2, 4, 5 and 10 parts and represented with decimals, to provide a scaffold for them to use whilst completing the problems in this lesson.

Keywords

Convert - To change a value or expression from one form to another, such as grams into kilograms.
Represent - Represent means to communicate mathematical ideas through models.
Calculate - Calculate means to choose one of the four operations to solve a problem.