Visual: Real-world Applications of Mixed Numbers & Improper Fractions

Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on visual understanding of converting mixed numbers and improper fractions through real-world environmental contexts.

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Visual: Real-world Applications of Mixed Numbers & Improper Fractions

Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet

Grade Year 9
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A tree's height is approximately 2 1/4 meters. Represent this mixed number as an improper fraction.
[2 marks]
2.
Convert the improper fraction 11/4 into a mixed number.
[2 marks]
3.
On a map, a river spans 3 2/3 kilometers in length. Draw a visual representation of this length using the grid, indicating the fractional parts.
[3 marks]
4.
A bird's migration covers 5 1/2 miles each day. How many miles is this in an improper fraction form?
[2 marks]
5.
Plot on the grid: a migrating animal travels 4 2/5 miles. Convert this to an improper fraction and then draw the distance.
[3 marks]
6.
In a pond, the water level drops by 1 3/4 meters over a week. Represent this change visually on the grid and write it as an improper fraction.
[3 marks]
7.
A rainforest area covers 7 5/8 square kilometers. Draw a visual approximation on the grid, breaking down the mixed number into fractions.
[3 marks]
8.
During a reforestation project, saplings are planted in groups of 2 3/4 per hectare. Convert this number into an improper fraction.
[2 marks]
9.
The length of a river stretch is 9 2/3 miles. Draw this length on the grid and write it as an improper fraction.
[3 marks]
10.
Challenge: A conservation area spans 12 4/7 square kilometers. Convert this to an improper fraction and illustrate it visually on the grid, emphasizing fractional parts.
[4 marks]
11.
Error analysis: A student converts 3 1/2 to an improper fraction as 7/2, then visualizes it on the grid. Identify the mistake and correct it.
[3 marks]

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Details

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