Whole Numbers: Problem Solving & Reasoning

Mathematics
Grade 7
14 questions
~28 mins
1 views0 downloads

About This Worksheet

A worksheet focused on understanding and applying the concepts of upper and lower bounds for whole numbers through various problem-solving and reasoning exercises.

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Whole Numbers: Problem Solving & Reasoning

Subject: MathematicsGrade: Grade 7
Name:
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Untitled Worksheet

Grade Grade 7
A

Fluency & Practice

Solve the following questions to practice basic procedures. Show your working in the grid spaces provided.
1.
Find the greatest whole number less than 50.
[1 mark]
2.
Determine the smallest whole number greater than 127.
[1 mark]
3.
Calculate the upper bound for the set of whole numbers {23, 45, 67, 89}.
[2 marks]
B

Targeted Practice

Answer the following questions that focus on understanding bounds within different contexts.
1.
If a student scores 78, 82, 89, and 90 on four tests, what is the lower bound of their scores?
[2 marks]
2.
A company's production outputs are 315, 420, 389, and 375 units. What is the upper bound of their production?
[2 marks]
3.
A prize is awarded for the highest whole number less than 150. What is the value of the upper bound?
[1 mark]
4.
Construct a set of whole numbers where the lower bound is 10 and the upper bound is 25.
[2 marks]
C

Real-World Applications

Solve the following word problems involving bounds in everyday contexts.
1.
A car travels between 60 km/h and 80 km/h depending on conditions. What is the lower bound of its speed?
[2 marks]
2.
A bakery produces between 150 and 200 loaves of bread daily. What is the upper bound of their production?
[2 marks]
D

Challenge & Extension

Attempt these more challenging questions to extend your understanding of bounds.
1.
Construct a set of whole numbers where the lower bound is 5 and the upper bound is 50, with at least five elements.
[3 marks]
2.
Explain why 0 is the lower bound for the set of all non-negative whole numbers.
[3 marks]
E

Mixed Review

Answer a variety of questions to review your understanding of whole number bounds.
1.
Find the upper bound of the set {12, 17, 19, 21}.
[1 mark]
2.
Identify the lower bound of the set of whole numbers from 5 to 15 inclusive.
[1 mark]
F

Error Analysis

Review the following mistaken assumption and correct it.
1.
A student says the lower bound of {8, 12, 15} is 15. Identify the mistake and provide the correct answer.
[2 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet