Mixed Numbers: Problem Solving & Reasoning

Mathematics
Grade 8
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A worksheet focused on subtracting mixed numbers, combining procedural practice with problem-solving and real-world applications to deepen understanding.

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Mixed Numbers: 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.
Subtract 314124 3\frac{1}{4} - 1\frac{2}{4} .
[2 marks]
2.
Calculate 534214 5\frac{3}{4} - 2\frac{1}{4} .
[2 marks]
3.
A recipe calls for 224 2\frac{2}{4} cups of sugar. If you have already added 134 1\frac{3}{4} cups, how much more do you need?
[3 marks]
4.
Express 744334 7\frac{4}{4} - 3\frac{3}{4} as an improper fraction and then subtract.
[3 marks]
5.
Subtract 654264 6\frac{5}{4} - 2\frac{6}{4} .
[2 marks]
6.
A cyclist covers 412 4\frac{1}{2} miles in the morning and 224 2\frac{2}{4} miles in the afternoon. How many miles did they cycle in total? Subtract the smaller from the larger to find the difference.
[4 marks]
7.
Construct a triangle with sides measuring 312 3\frac{1}{2} , 424 4\frac{2}{4} , and 514 5\frac{1}{4} .
[3 marks]
8.
A container has 834 8\frac{3}{4} liters of juice. If 314 3\frac{1}{4} liters are used, how much remains?
[2 marks]
9.
Calculate 924434 9\frac{2}{4} - 4\frac{3}{4} and explain why the answer is a mixed number.
[3 marks]
10.
Identify and correct the mistake in subtracting 524334 5\frac{2}{4} - 3\frac{3}{4} if a student incorrectly gets 124 1\frac{2}{4} .
[3 marks]

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Details

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