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Problem Solving Using Pythagoras•
Pythagoras

Pythagoras Word Problems (With Clues) WORKSHEET

Suitable for Year groups: Year 9, Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 1-3
Prerequisite knowledge: The use of pythagoras' theorem to calculate missing lengths in right angled triangles.
Learning Objective: Use Pythagoras' Theorem to solve a variety of problems, including area of isoscles triangles and on coordinate grids.

Pythagoras Word Problems (With Clues) WORKSHEET DESCRIPTION

Show your learners the different types of problems that Pythagoras’ theorem can be used to solve with this varied worksheet of 10 questions. Questions include finding the diagonal of a square, area of an isosceles triangle given its lengths, the area of a regular hexagon, the classic ladder against a wall problem, distance between coordinates and more. All of these problems act as excellent exam preparation or challenge for students who are fluent in using Pythagoras’ theorem.

This version contains handy clues such as extra diagrams and hints of what students should try first. Check out both and choose which is appropriate for your class or individuals.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Pythagoras Word Problems (With Clues) Worksheet fit for students in year 9, 10 and 11

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Frequently Asked Questions

Students should already be confident using Pythagoras' theorem to calculate missing lengths in right-angled triangles before tackling these word problems. This foundational skill is essential because the worksheet requires them to apply the theorem in more complex, real-world contexts. Without this prerequisite knowledge, learners may struggle to identify which sides represent the hypotenuse and adjacent sides in each problem scenario.