Fraction Problem Solving Worksheet with Worked Solution

Similar triangles and ratio reasoning let students find what fraction of a rectangle is shaded without any measurements, then check their thinking against a worked solution on the reverse.
Year groups
Years 5–7 (Key Stages 2–3)
File type
PDF
Preparation
Print ready

Updated Oct 19, 2026

Subject
Fractions, Maths
Topic
Maths Worksheet, Fraction Printable
Resource types
Worksheets
Preparation
Print ready

From the author

About this resource

This maths worksheet focuses on Problem Solving Tactics for What Fraction.

This printable will give students a problem to solve and enough blank space to begin solving it.

The solution is on the reverse side.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Use similar triangles to set up a ratio

  • Express a shaded region as a fraction of the whole rectangle

Skills covered

  • Ratio reasoning — using algebraic ratios in place of absolute lengths

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Resource details

Concepts & topics

Core concepts

  • Similar triangles

  • Ratios

  • Fractions of an area

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