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Key Stage 3Ages 11-14Maths

Free Geometry Worksheets for Key Stage 3

Shapes, angles, and spatial reasoning. Download free printable maths worksheets designed for Key Stage 3 students (ages 11-14), aligned to the UK National Curriculum.

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What Your Child Will Learn

Apply Pythagoras' theorem
Calculate surface area and volume of 3D shapes
Use trigonometry to find sides and angles
Prove geometric properties using formal reasoning

Sample Geometry Questions for Key Stage 3

Here are examples of the types of questions your child will practice:

1

Find the area of a circle with radius 7cm (π = 3.14)

easyshort answer
2

Calculate the volume of a cuboid 4cm × 5cm × 6cm

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3

Use Pythagoras to find the hypotenuse: a=3, b=4

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4

Find the circumference of a circle with diameter 10cm

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5

Calculate the surface area of a cube with edges 5cm

hardshort answer

Skills Your Child Will Build

Spatial reasoning
Shape properties
Measurement
Visualisation

Real-World Applications

Understanding geometry helps children in everyday situations:

Design and art
Construction
Navigation
Architecture

Common Mistakes to Watch For

Help your child avoid these common geometry mistakes:

  • !Formula confusion
  • !Unit errors
  • !Forgetting to square/cube
  • !Angle sum errors

Learning Progression

Building these skills now prepares students for GCSE-level work, where geometry understanding becomes essential for exam success.

Sample Geometry Worksheets

2 available

Geometry Worksheet Preview

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Angles and Geometry Worksheet — KS3 — Intermediate

Key Stage 3 · intermediate difficulty

Preview

Activity 1: Identifying Angles

Identify the type of each angle shown below. Write 'acute', 'right', 'obtuse', or 'straight' in the box provided. Consider the degree of each angle to determine its type.

______
______
______
______

Activity 2: Calculating Missing Angles

Calculate the missing angles in the following geometric figures. Use your knowledge of complementary, supplementary, and vertically opposite angles. Show all your workings.

1. A triangle has angles of 45° and 55°. Find the third angle. ______
2. Two angles are supplementary. One angle is 70°. Find the other angle. ______
3. Two vertically opposite angles are created by intersecting lines. One angle is 120°. Find the other angle. ______

Tips for Teaching Geometry

1Use physical shapes and everyday objects
2Draw diagrams - always
3Learn area and perimeter formulas with derivation, not memorisation
4Angles: protractor use needs regular practice

More Maths Topics for Key Stage 3

Geometry for Other Age Groups

Frequently Asked Questions

What geometry topics are covered in these worksheets?▼
Our geometry worksheets for Key Stage 3 cover all aspects of shapes, angles, and spatial reasoning as required by the UK National Curriculum. Each worksheet is designed to build skills progressively from foundation to challenge level.
Are these geometry worksheets suitable for Key Stage 3?▼
Yes, these worksheets are specifically designed for Key Stage 3 students (ages 11-14). The content difficulty and question types are carefully matched to National Curriculum expectations for this age group.
How can I use these geometry worksheets effectively?▼
We recommend 15-20 minutes of focused practice per session. Use the worksheets to reinforce concepts taught at school, identify areas needing more practice, and build confidence. Every worksheet includes an answer key for easy self-assessment.
Do the geometry worksheets include answer keys?▼
Yes, every worksheet comes with a complete answer key on a separate page. This makes it easy for parents to check homework, teachers to mark work, and students to self-assess their understanding.

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