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Pythagoras•
Pythagoras in 3D Shapes

3D Pythagoras (B) WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 8-9
Prerequisite knowledge: Pythagoras' Theorem, Surds, circle theorems
Learning Objective: Use Pythagoras' Theorem to solve problems in 3D

3D Pythagoras (B) WORKSHEET DESCRIPTION

This worksheet extends on the questiond from 3D Pythagoras (A). Six more challenging questions are provided that involve learners using their knowledge of Pythagoras' Theorem to missing missing lengths and other dimensions of some 3D shapes including a cylinder, a cone, a hemisphere, a tetrahedron, an octahedron and a cuboid. Knowledge of surds, circle theorems an similarity will be required.

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

3D Pythagoras Worksheet suitable for students in Year 10 and 11

RELATED TO 3D Pythagoras (B) WORKSHEET

3D Trigonometry and Pythagoras (A)

Year groups: 10, 11

Preview of 3D Trigonometry and Pythagoras (A)

3D Trigonometry and Pythagoras (B)

Year groups: 10, 11

Preview of 3D Trigonometry and Pythagoras (B)

Frequently Asked Questions

This worksheet is designed specifically for Higher tier GCSE students because it targets grades 8-9, which require sophisticated problem-solving skills. The complexity comes from applying Pythagoras' Theorem in three-dimensional contexts across diverse shapes like tetrahedrons and octahedrons, combined with the need to integrate knowledge of surds and circle theorems within the same problems.