Robinson Tuition
Grade 5 · Foundation and Higher · free GCSE maths worksheet

Pressure

Force divided by area.

11 original questions, 32 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

Pressure = force ÷ area.
A force of 600 N acts on an area of 2.5 m2.
Work out the pressure in N/m2.

2 marks
Show answer
240 N/m2
2

A crate rests on horizontal ground on a square base of side 0.5 m.

The crate exerts a force of 180 N on the ground.

Work out the pressure on the ground.

Give your answer in N/m2.

3 marks
Show answer
720 N/m2
3

The pressure on a floor is 45 N/m2. The area in contact with the floor is 0.8 m2.
Work out the force.

2 marks
Show answer
36 N
4

A machine exerts a force of 1200 N on the ground. The pressure is 300 N/m2.
Work out the area of ground in contact with the machine.

2 marks
Show answer
4 m2
5

A force of 150 N acts on a circular base of radius 5 cm.
Work out the pressure in N/cm2. Give your answer correct to 2 decimal places.

3 marks
Show answer
1.91 N/cm2
6

1 m2 = 10 000 cm2.

  1. Change a pressure of 2400 N/m2 to N/cm2.
  2. Change a pressure of 0.5 N/cm2 to N/m2.
2 marks
Show answer
a) 0.24 N/cm2 b) 5000 N/m2
7

A solid cube of side 20 cm exerts a force of 160 N on a table. The cube rests on one face.
Work out the pressure on the table in N/m2.

3 marks
Show answer
4000 N/m2
8

A cuboid block has a volume of 0.06 m3 and a height of 0.3 m. It rests on its base on horizontal ground and exerts a force of 900 N.
Work out the pressure on the ground in N/m2.

4 marks
Show answer
4500 N/m2
9

A concrete slab is a cuboid of width 0.8 m and thickness 0.1 m. It lies flat on the ground and exerts a force of 1440 N. The pressure on the ground is 600 N/m2.
Work out the length of the slab.

4 marks
Show answer
3 m
10

A force of 600 N acts on an area of 0.5 m2. Amy says "If the area is increased by 25%, the pressure will decrease by 25%."
Is Amy correct? You must show your working.

4 marks
Show answer
No: new pressure 960, a 20% decrease
11

A metal box rests on horizontal ground on a rectangular base.

The box exerts a force of 480 N on the ground.

The pressure on the ground is 60 N/m2.

The width of the base is 2.5 m.

Work out the length of the base.

3 marks
Show answer
3.2 m

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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