Comparing: Problem Solving & Reasoning

Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focused on comparing numbers up to billions, including procedural, reasoning, real-world, and challenge questions aimed at Grade 8 students.

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Full preview • 12 questions

Comparing: Problem Solving & Reasoning

Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Compare the numbers 3,456,789,123 and 3,456,789,321. Which is greater? Show your reasoning.
[3 marks]
2.
Arrange the following numbers in order from smallest to largest: 987,654,321; 987,654,312; 987,654,329.
[3 marks]
3.
Identify the larger number: 5,432,109,876 or 5,432,109,865. Explain your comparison.
[2 marks]
4.
Plot the graph of y=2x for x values 0 to 5 on the grid.
[2 marks]
5.
Construct a rectangle on the grid with a longer side of 8 units and a shorter side of 3 units. Which side is longer? Justify your choice.
[2 marks]
6.
Compare 2,345,678,901 and 2,345,678,910. Are they equal? If not, which is larger?
[2 marks]
7.
A store stocks 1,234,567,890 items. Another store stocks 1,234,567,899 items. Which store has more? Show your comparison process.
[3 marks]
8.
Identify the mistake: Comparing 9,876,543,210 and 9,876,543,201, a student says they are equal. Correct the mistake.
[3 marks]
9.
Compare 7,654,321,098 and 7,654,321,999. Which is larger? Justify your answer.
[2 marks]
10.
In a multi-step comparison, which number is greater: 4,567,890,123 or 4,567,890,132? Show your working.
[3 marks]
11.
A comparison of 6,543,210,987 and 6,543,210,978 shows which is larger? Why?
[2 marks]
12.
Identify and correct the error: Comparing 3,210,987,654 and 3,210,987,645, a student claims they are equal.
[3 marks]

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Details

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