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Pressure

Free Printable Pressure PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 5)

Download free pressure worksheets (PDF), GCSE maths past paper questions and worked solutions for Pressure (5AA). This is a Grade 5 ratio & proportion topic from the GCSE questions by topic collection for Foundation and Higher tier crossover GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Corbett Maths, Maths Made Easy, Dr Frost, Metatutor, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our pressure revision notes and worked examples with diagrams, try real GCSE past paper pressure questions with step-by-step solutions, or download a PDF of all pressure worksheet links.

Free Pressure PDF Worksheets & Answers

Grade 5 • Topic 5AA
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Grade 5 topics
5A - Combining ratios5B - Direct and inverse proportion
5C - Reverse percentages5D - Standard form
5E - Speed5F - Changing the subject
5G - Quadratic expressions5H - Solving quadratic equations
5J - Drawing quadratic graphs5K - Cubic/reciprocal graphs
5L - Simultaneous equations5M - Sector areas and arc lengths
5N - Sim. equ. graphically5P - Midpoint of a line segment
5Q - Gradient of a line5R - Equation of a line
5S - Spheres and cones5T - Similar shapes (lengths)
5U - Trigonometry (SOHCAHTOA)5V - Exact trig. values
5W - Probability trees5X - Vectors
5Y - Venn diagrams5Z - Density
5AA - Pressure
GCSE Maths Grade 5 Revision Notes & Method

Guide to Pressure: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

Pressure, force and area are linked by Pressure = ForceArea, Force = Pressure × Area, and Area = ForcePressure. Force is measured in Newtons (N) and area in m2 or cm2, giving pressure in N/m2 (Pascals, Pa) or N/cm2.

Remember that Area is only the flat contact area touching the ground, not the total surface area of the 3D object. A smaller contact area produces a greater pressure for the same force.

Example 1: A crate of weight 1080 N rests on a rectangular base measuring 1.5 m by 0.8 m. Work out the pressure on the floor in N/m2.

Solution:

Base area = 1.5 × 0.8 = 1.2 m2
P = 1080 ÷ 1.2 = 900
Answer: 900 N/m2
1080 N 1.5 m 0.8 m

Example 2: A cylinder of radius 4 cm stands flat on a table and exerts a pressure of 2.5 N/cm2. Find the force exerted on the table (to 1 d.p.).

Solution:

Area = π(42) = 16π cm2
F = 2.5 × 16π = 40π N
Answer: 125.7 N (1 d.p.)
F r = 4 cm
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Pressure Questions & Answers

Past Paper Example 1 GCSE Jun 2022 2H Q9 3 marks
Full Paper (PDF) • Mark Scheme (PDF)
A box in the shape of a cuboid is placed on a horizontal floor.
The box exerts a force of 180 newtons on the floor.
The box exerts a pressure of 187.5 newtons/m2 on the floor.
pressure =forcearea
The face in contact with the floor is a rectangle of length 1.2 metres and width x metres.
Work out the value of x.
Worked Solution & Mark Scheme (3 marks)
(Pressure = force ÷ area)
Area = 180 ÷ 187.5 = 0.96 m² M2
1.2x = 0.96 ⇒ x = 0.96 ÷ 1.2 = 0.8 A1
Answer: x = 0.8
Past Paper Example 2 Specimen Set 1 1H Q2 3 marks
Full Paper (PDF) • Mark Scheme (PDF)
A box exerts a force of 140 newtons on a table.
The pressure on the table is 35 newtons/m².
p=FAp = pressureF = forceA = area
Calculate the area of the box that is in contact with the table.
Worked Solution & Mark Scheme (3 marks)
(Pressure = force ÷ area)
35 = 140 / A M2
⇒ A = 140 ÷ 35 = 4 m² A1
Answer: 4 m2 m²
Past Paper Example 3 GCSE Nov 2024 1H Q8 3 marks
Full Paper (PDF) • Mark Scheme (PDF)
The diagram shows a solid triangular prism on a horizontal floor.
2 mpressure =forcearea
The face in contact with the floor is a rectangle of width 2 m.
The pressure on the floor due to the prism is 80 newtons/m2
The force exerted by the prism on the floor is 720 newtons.
Work out the length of the prism.
Worked Solution & Mark Scheme (3 marks)
Area = 720 ÷ 80 = 9 m² M2
Length = 9 ÷ 2 = 4.5 m A1
Answer: 4.5 m

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