# Find Pressure, Force and Area

In this worksheet, students practise finding Pressure, Force and 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

While speed, distance and time are the most common compound unit questions you will encounter, You still need to be able to find the others. The one we will focus on here is pressure, force and area

The hardest part of completing questions about Pressure, Force and Area is remembering the formulas.

How to find the formulas.

The easiest way to do this is to memorise the formula triangle. We can then use this to find the formulas.

How do we use this?

Simple, just highlight the thing you are trying to find (I've done it with a red circle) and the formula will be what's left.

Example 1: What is the pressure when a force of 8N is applied to an area of 2m2

The first step in these calculations is always to decide what you are trying to find. For this one, we are directly asked for the volume

P = F ÷ A

Now we can plug in our numbers

V = 8 ÷ 2

The last question that you need to ask is what the units are. The pressure here could be given in N/m2, but could also be given in Pascals (Pa). These are the same unit and ou will get marks either way.

Pressure = 4 Pa

Example 2: The Pressure on an object is 3 Pa and the force being applied is 15 N. What is the area the force is acting on?

Once again, we need to decide which formula. Don't worry that it asks for average density, we can use the same formulas.

A = F ÷ P

Plugging in our numbers gives...

D = 15 ÷ 3 = 5

When you are dealing with pressure, faorce and area, unless you are told otherwise, the units for area will be m2

Area = 5 m2

To find the Pressure, we divide...

A force of 12 N acts on an area of 3m2

Is the average pressure..

36 Pa

4 Pa

Find the average pressure for a force of 10 N acting over an area of 2 m2

Don't worry about the units for this question

To find the force that is acting on an object we multiply...

A 2m2 object has a pressure of 7 Pa.

Is the force...?

14 N

3.5 N

Find the force acting on a 3m2 object with a pressure of 9 Pa.

Don't worry about the units for this question.

To find the area, we divide...

A force of 3N produces a pressure of 3 Pa.

Is the area..?

9 m2

1 m2

A pressure of 4 Pa is produced by a force of 10 N. What area does the force act over?

Don't worry about the units for this question

Match the pressures with the Forces and areas.

## Column B

F = 15 N , A = 3m2
P = 10 Pa
F = 15 N , A = 0.5m2
P = 5 Pa
F = 2 N , A = 4m2
P = 30 Pa
F = 1 N , A = 0.1m2
P = 0.5 Pa
• Question 1

To find the Pressure, we divide...

EDDIE SAYS
Just remember, we need to look at the formula triangle and look at what's left. If we cover-up pressure, we're left with force ÷ area
• Question 2

A force of 12 N acts on an area of 3m2

Is the average pressure..

4 Pa
EDDIE SAYS
It's all about the formulas. Make sure you know these off by heart. Pressure = Force ÷ Area So we just have to substitute our numbers in to get 12 ÷ 3
• Question 3

Find the average pressure for a force of 10 N acting over an area of 2 m2

Don't worry about the units for this question

5
EDDIE SAYS
Let's use the formula again... are you noticing a pattern here!? Pressure = Force ÷ Area Pressure = 10 ÷ 2
• Question 4

To find the force that is acting on an object we multiply...

EDDIE SAYS
Just remember, we need to look at the formula triangle and look at what's left. If we cover up force, we are left with pressure x area.
• Question 5

A 2m2 object has a pressure of 7 Pa.

Is the force...?

14 N
EDDIE SAYS
Did you go straight to the formula triangle? It's a good habit to get into! Force = Pressure x Area So, we just have to substitute our numbers in to get 7 x 2
• Question 6

Find the force acting on a 3m2 object with a pressure of 9 Pa.

Don't worry about the units for this question.

27
EDDIE SAYS
You know what to do now... back to that formula! Force = Pressure x Area Distance = 9 x 3
• Question 7

To find the area, we divide...

EDDIE SAYS
Just remember, we need to look at the formula triangle and see what's left. When we cover up area we are left with force divided by pressure. The more you use the triangle the easier this becomes!
• Question 8

A force of 3N produces a pressure of 3 Pa.

Is the area..?

9 m2
EDDIE SAYS
It's all about the formulas. Hopefully this much is clear by now! Area = Force ÷ Pressure So we just have to substitute our numbers in to get 3 ÷ 3
• Question 9

A pressure of 4 Pa is produced by a force of 10 N. What area does the force act over?

Don't worry about the units for this question

0.4
EDDIE SAYS
Remember to keep using the formula and substitute in the numbers! Area = Pressure ÷ Force Area = 4 ÷ 10
• Question 10

Match the pressures with the Forces and areas.

## Column B

F = 15 N , A = 3m2
P = 5 Pa
F = 15 N , A = 0.5m2
P = 30 Pa
F = 2 N , A = 4m2
P = 0.5 Pa
F = 1 N , A = 0.1m2
P = 10 Pa
EDDIE SAYS
A couple of these are really easy, it's just division after all. The one that catches out the unwary is the divide by 0.5 and the divide by 0.1 Remember that dividing by 0.5 is exactly the same as multiply by 2.
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