# Convert Metric Units of Area

In this worksheet, students practise converting between metric units of area.

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR

Curriculum topic:   Ratio, Proportion and Rates of Change, Mensuration

Curriculum subtopic:   Ratio, Proportion and Rates of Change, Units and Measurement

Difficulty level:

### QUESTION 1 of 10

Converting units of area is one area in Maths that students make lots of mistakes as they haven't thought about the conversion factors.

When we are converting from, for example, metres into cm, we know that 1m = 100cm. This leads to the misconception that 1m2 = 100cm2. In reality, 1m2 = 10000 cm2.

???????

Let's look at what's happening here. If we look at a square that measures 1m on each side.

Looking at the areas of these two identical squares, we can say that

1 m x 1 m = 100 cm x 100 cm

1m2 = 10000 cm2

Is there a trick?

In a way, yes, All you need to do for an area conversion is to find the conversion if it wa a length and then square it to get the area conversion.

Example 1: Convert 1.4m2 into cm2.

We know that for a length 1m = 100cm

So for an area 1m2 = 10000cm2.

1.4m2 = 1.4 x 10000 = 14000 cm2.

Example 2: Convert 350m2 into km2.

We know that for a length 1km = 1000m

So for an area 1km2 = 1000000m2.

350m2 = 350 ÷ 1000000 = 0.00035 m2.

To convert cm2 into m2, we divide by...

To convert m2 into cm2, we _______ by 10000.

To convert km2 into cm2....

If we convert 175 cm2 into m2. Do we get...

0.0175

1750000

If we convert 4.2 km2 into m2. Do we get...

4200000

0.0000042

State if the following conversions are correct or incorrect.

Convert 4.1m2 into cm2.

Convert 354 cm2 into m2.

Convert 4.1 km2 into m2.

Convert 2950000 m2 into km2.

• Question 1

To convert cm2 into m2, we divide by...

EDDIE SAYS
We know that 100 cm = 1m. If we square these numbers, we get a conversion factor for the area of 10000.
• Question 2

To convert m2 into cm2, we _______ by 10000.

EDDIE SAYS
We know that 100 cm = 1m. If we square these numbers, we get a conversion factor for the area of 10000.
• Question 3

To convert km2 into cm2....

EDDIE SAYS
We know that 1000 m = 1km. If we square these numbers, we get a conversion factor for the area of 1000000.
• Question 4

If we convert 175 cm2 into m2. Do we get...

0.0175
EDDIE SAYS
Firstly, we need to know the conversion factor. 1m = 100 cm 1 m2 = 10000 cm2 Because a m2 is bigger than a cm2, we have less of them so we must divide
• Question 5

If we convert 4.2 km2 into m2. Do we get...

4200000
EDDIE SAYS
Firstly, we need to know the conversion factor. 1km = 1000 m 1 km2 = 1000000 m2 Because a m2 is smaller than a km2, we have more of them so we must multiply
• Question 6

State if the following conversions are correct or incorrect.

EDDIE SAYS
Did you remember to square the conversion factors? This is the biggest mistake people make on this question.
• Question 7

Convert 4.1m2 into cm2.

41000
EDDIE SAYS
Remember to square the length conversion 1 m = 100 cm 1 m2 = 10000 cm2
• Question 8

Convert 354 cm2 into m2.

0.0354
EDDIE SAYS
Remember to square the length conversion 1 m = 100 cm 1 m2 = 10000 cm2
• Question 9

Convert 4.1 km2 into m2.

4100000
EDDIE SAYS
Remember to square the length conversion 1 km = 1000 m 1 km2 = 1000000 m2
• Question 10

Convert 2950000 m2 into km2.

2.95
EDDIE SAYS
Remember to square the length conversion 1 km = 1000 m 1 km2 = 1000000 m2
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