Probability Maths Lessons & Worksheets (KS3, GCSE, IGCSE & A-Level)

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This page brings together ready-to-teach probability maths lessons for Key Stage 3, GCSE / IGCSE and A-Level. Browse the full collection, including Venn diagrams, sample space diagrams, probability trees, relative frequency and expected frequency, mutually exclusive and independent events, grouped data and histogram estimates, conditional probability methods and probability generating functions, with each lesson designed to support clear modelling, independent practice and exam preparation.

Ready-to-teach probability lessons
Presentations, worksheets and structured practice
Key Stage 3, GCSE / IGCSE and A-Level coverage
Scheme of work links for curriculum planning

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Use the sections below to jump straight to Key Stage 3, GCSE / IGCSE or A-Level probability lessons.
Each resource is designed to reduce planning time and support student progression.

Jump to: Key Stage 3 Probability | GCSE / IGCSE Probability | A-Level Probability

Probability: Key Stage 3

These Key Stage 3 probability lessons build fluency with language, representations and proportional reasoning before GCSE methods. Topics include:

Venn diagrams for organising outcomes and calculating probabilities
Two-way tables, sample space diagrams and permutations of two events
Probability scales, comparing likelihoods and writing probabilities as simplified fractions
Experimental probability, relative frequency and estimating probabilities from data
Expected frequency and mutually exclusive events, including outcomes that sum to one

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Ages 11 - 13

Calculating a Probability from Sample Space Diagrams

How to create a sample space diagram to find the probability of two or more events.

Ages 11 - 13

Calculating Probabilities from Two-Way Tables

How to calculate a probability from a two-way table.

Ages 11 - 13

Comparing the Probability of Events

How to compare the probability of events.

Ages 11 - 13

Estimate Probabilities from Experimental Data

How toÂ estimate probabilities from experimental data.

Ages 11 - 13

Introducing Probability with Fractions

How to write probabilities as simplified fractions.

Ages 11 - 13

Permutations of Two Events

How to list all the permutations of two events.

Ages 11 - 13

Predicting Outcomes using Probability

How to work out an expected frequency using probability.

Ages 11 - 13

Probabilities That Add Up to One

How to work out the probability of mutually exclusive events.

Ages 11 - 13

Understanding Set Notation

How to find the union and intersection of elements using basic set notation.

Ages 11 - 13

Venn Diagrams

How to use Venn diagrams to organise sets of data.

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Probability: GCSE / IGCSE

These GCSE / IGCSE probability lessons focus on exam-ready methods using trees, tables and set representations. Topics include:

Writing theoretical probabilities, including structured “counting outcomes” approaches
Probability trees for independent and conditional events
Mutually exclusive events, probability experiments and comparing theoretical and experimental probability
Relative frequency, expected frequency and problems involving biased contexts
Sets, Venn diagrams and solving problems with union and intersection

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Ages 14 - 16

Conditional Probability

Students learn how to draw probability trees for conditional events.

Ages 14 - 16

Mutually Exclusive Events

Students learn how to work out the probability of mutually exclusive events.

Ages 14 - 16

Probability Experiment

Practical activity on the difference of theoretical and experimental probabilities.

Ages 14 - 16

Probability Scale

Students learn how to arrange the likelihood of events along a probability scale.

Ages 14 - 16

Probability Trees for Independent Events

Students learn how to draw probability trees for independent events.

Ages 14 - 16

Problems with Relative Frequency

GCSE / IGCSE Mathematics: Problems with Relative Frequency

Ages 14 - 16

Problems with Sets and Set Notation

GCSE/IGCSE Mathematics for students Grade 5+.

Ages 14 - 16

Relative Frequency

Students learn how to calculated an expected frequency from a probability experiment.

Ages 14 - 16

Sample Space Diagrams

Students learn how to draw sample space diagrams for two or more events.

A GCSE Mathematics lesson slide on Venn diagrams by Mr Mathematics. The slide features a Venn diagram with two intersecting sets, M and E, displaying frequencies of 42, 16, 12, and 10 in the outer region. It prompts students to find the probability of the intersection P(M ∩ E) and the union P(M ∪ E).

Ages 14 - 16

Union and Intersection of Sets

Students learn how to calculate the union and intersection of sets using Venn diagrams.

Ages 14 - 16

Writing Probabilities

Students learn how to write a theoretical probability as a simplified fraction.

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Probability: A-Level

These A-Level probability lessons strengthen formal reasoning with set notation, distribution thinking and structured problem-solving across Statistics modules. Topics include:

Estimating probabilities from grouped data using histograms and frequency density
Venn diagrams and regions, including set notation for unions, intersections and complements
Repeated probabilities and tree diagrams for successive events
Mutually exclusive and independent events, including formula approaches alongside Venn diagrams
Conditional probability, including tree diagram methods and the \(P(A|B)\) formula
Probability generating functions, including standard distributions, mean and variance, and sums of independent variables

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Ages 16 +

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Probability Maths Lessons & Worksheets (KS3, GCSE, IGCSE & A-Level)

Teach probability with less planning

Probability: Key Stage 3

Schools & departments: shared access, consistent planning

Probability: GCSE / IGCSE

Probability: A-Level

Ready to use these lessons in class?

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