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A-LevelAges 16-18Maths

Free Geometry Worksheets for A-Level

Shapes, angles, and spatial reasoning. Download free printable maths worksheets designed for A-Level students (ages 16-18), 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 A-Level

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

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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

Mastering geometry at this level prepares students for A-Level study and beyond, developing expertise valued in higher education and careers.

Sample Geometry Worksheets

1 available

Geometry Worksheet Preview

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Geometry Worksheet - A-Level - Intermediate

A-Level · intermediate difficulty

Preview

Activity 1: Circle Geometry

Solve the following problems involving circles. Use the properties of tangents, chords, and the circle theorems. Show all your working clearly.

1. In a circle with centre O, a tangent at point A meets a chord AB at point P. If OP = 5 cm and AP = 3 cm, find the length of AB. ______
2. A circle has a radius of 10 cm. A chord is 16 cm long. Find the perpendicular distance from the centre to the chord. ______

Activity 2: Coordinate Geometry

Using your knowledge of coordinate geometry, solve the following problems. Ensure to plot your points and lines accurately on a graph if needed.

1. Find the equation of the circle with centre (3, -4) and radius 5. ______
2. Determine the points of intersection of the line y = 2x + 3 with the circle x² + y² = 25. ______

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 A-Level

Geometry for Other Age Groups

Frequently Asked Questions

What geometry topics are covered in these worksheets?
Our geometry worksheets for A-Level 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 A-Level?
Yes, these worksheets are specifically designed for A-Level students (ages 16-18). 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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