Subtracting: Real-world Applications in Engineering
Mathematics
GCSE Foundation
16 questions
~32 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on subtracting negative numbers within engineering contexts, including procedural, reasoning, and real-world problems.
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Subtracting: Real-world Applications in Engineering
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate: 15 - (-8)
[1 mark]2.
Compute: -12 - 5
[1 mark]3.
Evaluate: -3 - (-7)
[1 mark]4.
Calculate: 0 - (-6)
[1 mark]B
Problem Solving & Reasoning
Solve the following multi-step problems. Show all working.
1.
A construction crane is lifting a load weighing -15 tonnes (negative indicates downward direction). If the crane then lifts an additional 10 tonnes upwards, what is the resultant weight relative to its starting point?
[3 marks]2.
A bridge's temperature drops from 20°C to -5°C over night. How much has the temperature decreased?
[3 marks]C
Real-world Applications
Apply your understanding of subtracting negative numbers to these engineering scenarios.
1.
An engineer measures a temperature of -10°C in a factory. Later, the temperature rises by 12°C. What is the new temperature?
[2 marks]2.
A submarine descends to a depth of -300 meters. It then rises 50 meters. What is its new depth?
[2 marks]3.
A steel beam has a temperature of -20°C. During heating, it increases by 30°C. What is its new temperature?
[2 marks]D
Challenge & Extension
Attempt these more complex problems involving subtracting negative numbers.
1.
A factory's equipment temperature drops by -40°C overnight. Then, an active process heats it by 55°C. What is the final temperature?
[3 marks]2.
A plane flying at an altitude of -2000 meters descends further by 500 meters. What is its new altitude?
[3 marks]E
Mixed Review
Answer a variety of questions to review your skills in subtracting negative numbers.
1.
Calculate: -9 - (-4)
[1 mark]2.
Subtract: 8 - (-3)
[1 mark]3.
A thermal sensor reads -15°C. If it increases by 20°C, what is the new reading?
[2 marks]F
Error Analysis
Identify the mistake in each of these common errors and correct it.
1.
A student calculates: -7 - 5 = -12, but the correct answer is -2. What mistake did they make?
[2 marks]2.
A student computes: 10 - (-4) = 14, which is correct. But they write the answer as 6. What's the error?
[2 marks]Quick Actions
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Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet