Word Problems: Real-world Applications in Engineering
Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on solving word problems involving the calculation of mean (average) within engineering contexts. Students will interpret real-world data, perform calculations, and apply their understanding to practical situations.
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Word Problems: Real-world Applications in Engineering
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A group of engineering students recorded the number of hours they studied each day for a week: 3, 4, 5, 2, 4, 6, and 3 hours. What is the average number of hours studied per day?
[2 marks]2.
Calculate the mean length of 5 different bolts used in an engineering project: 45 mm, 50 mm, 48 mm, 52 mm, and 47 mm.
[2 marks]3.
A manufacturing engineer records the number of defects found in 7 batches of products: 2, 3, 1, 4, 2, 3, 2. Find the average number of defects per batch.
[2 marks]4.
Fluency & Practice: The weight of 6 engineering components are 120g, 130g, 125g, 135g, 128g, and 122g. What is their mean weight?
[2 marks]5.
Problem Solving & Reasoning: An engineer measures the diameter of 4 pipes: 10.2 cm, 10.5 cm, 10.3 cm, and 10.4 cm. She then replaces one pipe with a new one of diameter 10.6 cm. What is the new average diameter?
[3 marks]6.
A team of engineers recorded the number of hours they worked each day over a 5-day project: 8, 7, 9, 8, and 10 hours. What is the average work hours per day?
[2 marks]7.
Construct a scenario where the mean length of components is 52 mm, given four component lengths. Provide the lengths and explain your reasoning.
[3 marks]8.
A factory produces 10, 12, 11, 13, and 14 units of a component on five different days. If the next day, production drops to 8 units, what is the new average production per day over 6 days?
[2 marks]9.
Error Analysis: A student calculates the mean of the numbers 10, 15, 20, 25 as 17. What is the mistake, and what is the correct mean?
[3 marks]10.
Challenge & Extension: The lengths of 3 beams are 6.2 m, 6.5 m, and 6.4 m. A new beam is added with length 6.6 m. What is the new average length? Can you generalize the formula for the mean when adding a new measurement?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet