Mastering Mixed Numbers: Problem Solving & Reasoning

Mathematics
Grade 8
10 questions
~20 mins
1 views0 downloads

About This Worksheet

This worksheet focuses on subtracting mixed numbers with unlike denominators, combining procedural practice with problem solving and real-world contexts. Students will develop fluency, reasoning skills, and extend their understanding through varied question types.

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Mastering Mixed Numbers: Problem Solving & Reasoning

Subject: MathematicsGrade: Grade 8
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Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Subtract the mixed numbers: 3 1/4 − 1 2/3. Write your answer as a mixed number in simplest form.
[2 marks]
2.
Calculate: 5 3/8 − 2 5/12. Show your working in the grid.
[3 marks]
3.
A recipe calls for 2 1/2 cups of sugar. If you use 1 3/4 cups, how much more sugar is needed?
[3 marks]
4.
Simplify the subtraction: 4 2/5 − 1 7/10.
[2 marks]
5.
Construct a diagram to represent the subtraction 7 3/4 − 3 5/8 on the grid.
[2 marks]
6.
A swimmer completes 4 1/2 laps in the morning and 2 2/3 laps in the afternoon. How many laps did they swim in total?
[3 marks]
7.
Subtract: 6 3/4 − 2 5/8. Show your work.
[3 marks]
8.
Identify the error in the solution: 2 1/2 − 1 3/4 = 0 3/4. Correct the mistake and find the correct answer.
[4 marks]
9.
Estimate and then precisely calculate: 9 2/3 − 4 5/8.
[3 marks]
10.
Challenge: Write a problem involving the subtraction of two mixed numbers with unlike denominators, then solve it.
[4 marks]

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Details

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