Whole Numbers: Engineering in Action
Mathematics
Grade 7
17 questions
~34 mins
1 views0 downloads
About This Worksheet
This worksheet explores the concept of upper and lower bounds of whole numbers through engineering contexts. Students will practice calculations, reasoning, and real-world problem applications.
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Whole Numbers: Engineering in Action
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the lower bound of 57 when rounded to the nearest ten.
[2 marks]2.
Determine the upper bound of 123 when rounded to the nearest hundred.
[2 marks]3.
Round 468 to the nearest ten and state the bounds.
[3 marks]4.
What is the lower bound of 89 when rounded to the nearest ten?
[2 marks]B
Problem Solving & Reasoning
Work through each problem carefully. Show all your steps.
1.
A bridge construction project requires the length of steel beams to be rounded to the nearest whole number in meters. If the maximum permissible length is 150 meters, what is the minimum length a beam can be to be considered safe?
[4 marks]2.
A new building design specifies the window width as 95 cm, rounded to the nearest ten. Determine the range of possible exact widths.
[3 marks]3.
An engineer measures a pipe diameter as 37 mm, rounded to the nearest mm. What are the possible actual diameters?
[2 marks]4.
Explain why the bounds are important when estimating material lengths for construction.
[4 marks]C
Real-world Applications
Solve the following engineering scenarios involving bounds.
1.
A factory produces steel rods that are supposed to be 200 cm long. Due to manufacturing tolerances, the rods are measured as 199 cm. What are the bounds of the actual lengths?
[3 marks]2.
An engineer calculates the maximum load of a beam as 5000 N, rounded to the nearest hundred. What is the range of the actual maximum loads?
[3 marks]3.
In a project, the length of a support beam is estimated as 10 meters, rounded to the nearest meter. What are the possible actual lengths?
[2 marks]D
Challenge & Extension
Tackle these advanced problems for a deeper understanding.
1.
A set of precision-engineered components are designed to be exactly 75 mm long with a tolerance of ±0.5 mm. What are the bounds of the actual lengths?
[4 marks]2.
A bridge span is measured as 500 meters, rounded to the nearest ten. If the maximum span allowed is 505 meters, what is the minimum actual span length?
[3 marks]E
Mixed Review
Answer these questions to review your understanding of bounds.
1.
Find the lower and upper bounds when 89 is rounded to the nearest ten.
[2 marks]2.
A technician measures a part as 123 units, rounded to the nearest unit. What are the possible actual measurements?
[2 marks]F
Error Analysis
Identify and correct the common mistake made in each problem.
1.
A student states that the upper bound of 64 rounded to the nearest ten is 70. Is this correct? If not, what is the correct upper bound?
[3 marks]2.
A learner finds the bounds for 999 rounded to the nearest hundred as 900 and 1099. Is this correct? If not, suggest the correct bounds.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet