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Problem Solving Using Pythagoras•
Pythagoras

Multi Step Pythagorean Problems WORKSHEET

Suitable for Year groups: Year 9, Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Using Pythagoras Theorem to calculate missing lenghts in right angled triangles, using exact values,
Learning Objective: Apply Pythagoras’ Theorem lengths in right-angled triangles

Multi Step Pythagorean Problems WORKSHEET DESCRIPTION

This set of eight applying Pythagoras’ theorem questions will see students: finding missing lengths in right angle triangles in order to find another in two triangle problems, using exact values in surd form in order to calculate integer answers, calculating the perimeter of an image created using right angled triangles, showing that a triangle constructed inside a square does not has a right angle, using a given area of a sector to calculate chord length and applying algebraic thinking and solving an equation in order to calculate triangular lengths.

Questions 3 and 8 appear on higher tier syllabus only.

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

Multi Step Pythagorean Problems Worksheet for learners in Year 9 to 11

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Frequently Asked Questions

Apply Pythagoras’ Theorem lengths in right-angled triangles