Pythagoras with Surds WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Using Pythagoras' Theorem to calculate missing lengths in right angled triangles. Simplifying surds. Expanding brackets involving surds.
Pythagoras with Surds WORKSHEET DESCRIPTION
This worksheet focuses on applying Pythagoras' theorem with surds. Students are required to give all answers as exact values and simplify surds where possible.
The initial problems in Section A involve finding missing lengths in right-angled triangles where the side lengths are integers, leading to surd answers.
Section B increases the difficulty by providing problems where at least one of the given sides is already a surd.
The final section, Section C, presents more complex questions involving triangles with side lengths expressed as binomial surds, requiring students to expand expressions.
The worksheet includes fill-in-the-blank questions to support students through the process.
The initial problems in Section A involve finding missing lengths in right-angled triangles where the side lengths are integers, leading to surd answers.
Section B increases the difficulty by providing problems where at least one of the given sides is already a surd.
The final section, Section C, presents more complex questions involving triangles with side lengths expressed as binomial surds, requiring students to expand expressions.
The worksheet includes fill-in-the-blank questions to support students through the process.
