Part:Whole: Real-world Applications in Engineering
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying Part:Whole ratios within engineering contexts, covering procedural mastery and real-world problem solving.
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Part:Whole: Real-world Applications in Engineering
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A steel beam is 12 metres long, and the section that is welded is 3 metres. What fraction of the beam is welded? Show your working.
[2 marks]2.
In an engineering assembly, 18 parts are metal and 6 parts are plastic. What is the ratio of metal parts to the total parts? Express your answer as a fraction in simplest form.
[2 marks]3.
Calculate the part of the total weight that is concrete if a structure weighs 500 kg, with 150 kg of the weight being steel. Show your working.
[2 marks]4.
Plot the graph of y = 2x on the grid provided. (Note: student draws on grid)
[2 marks]5.
A bolt is 20 cm long, and 4 cm is threaded. What fraction of the bolt is threaded? Simplify your answer.
[2 marks]6.
An engineering component has a total mass of 200 grams. If 50 grams are made of aluminum, what part of the component is not aluminum? Show your working.
[2 marks]7.
Construct a triangle on the grid with a side length representing 3/4 of a unit. (Student draws on grid)
[2 marks]8.
A circuit contains 60 resistors, of which 15 are defective. What fraction of resistors are defective? Express your answer as a simplified fraction.
[2 marks]9.
A machine uses 250 ml of oil, with 50 ml being synthetic oil. What is the part of the oil mixture that is synthetic? Show your working.
[2 marks]10.
Identify and correct the mistake: If a beam has 20 meters length, and 5 meters are painted, the ratio of painted to total length is 1/4. (The student should recognize that 5/20 simplifies to 1/4).
[2 marks]11.
A car uses 40 litres of fuel, of which 8 litres are premium petrol. What part of the fuel is not premium? Show your working.
[2 marks]12.
A factory produces 1200 units monthly, with 300 units defective. What fraction of the units are non-defective? Express your answer in simplest form.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet