Breaking Down: Real-world Applications in Engineering
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet explores breaking down complex shapes to calculate perimeter in real-world engineering contexts. Students will practice decomposing shapes, applying formulas, and solving multi-step problems.
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Breaking Down: 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.
Calculate the perimeter of a rectangular frame measuring 8 cm by 3 cm, with an added smaller rectangle of 2 cm by 3 cm on one side. Break down the shape and find the total perimeter.
[3 marks]2.
A beam has a main rectangular part measuring 12 m by 4 m, with a semi-circular cutout of radius 1 m on one side. Break down the shape and calculate the total perimeter of the exposed edges.
[4 marks]3.
In an engineering project, a frame consists of a large rectangle (10 m by 6 m) and a smaller rectangle (3 m by 2 m) attached to one corner. Break down the perimeter calculation for the entire frame.
[3 marks]4.
Construct a shape consisting of a square (4 cm sides) with a rectangle (3 cm by 2 cm) attached to one side. Break down the shape and find the combined perimeter.
[4 marks]5.
A machine frame has two sections: a square (5 m sides) and a triangle attached to one side. Break down the perimeter components and compute the total perimeter of the frame.
[4 marks]6.
A complicated shape is made by combining a rectangle (7 m by 4 m) and a semicircle of radius 2 m on one side. Break down the shape and find its perimeter.
[4 marks]7.
An engineer needs to calculate the perimeter of a composite frame made from a rectangle (9 m by 3 m) with an L-shaped extension (3 m by 3 m). Break down the shape and find the total perimeter.
[4 marks]8.
A shape consists of a rectangle (6 cm by 4 cm) with a small square (2 cm by 2 cm) cut out from one corner. Break down the shape and determine the perimeter of the remaining figure.
[3 marks]9.
A complex shape is formed by joining a rectangle (10 m by 4 m) and a triangle with base 4 m and height 3 m. Break down the perimeter calculation for this shape.
[4 marks]10.
Identify and correct the mistake in this perimeter calculation: A rectangle (5 m by 3 m) is said to have a perimeter of 16 m, but a student forgot to add the length of two sides.
[2 marks]11.
A shape is made by combining a rectangle (8 m by 4 m) and a rectangle (3 m by 2 m). Break down the perimeter calculation and identify which part contributes most to the total perimeter.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet