Year 10 · Ages 14–15

British Year 10 Mathematics

An extra-deep three-term British Year 10 GCSE programme with 15 units, 75 complete lessons, rigorous worked examples, visual reasoning and adaptive one-question practice.

Complete Year 10 GCSE programme

15 topics

75 lessons

3 terms

Start learning

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What you will be able to do

Manipulate surds, algebraic fractions, quadratics and functions
Model relationships through graphs, equations, proportion and rates
Solve demanding similarity, trigonometry and circle-measure problems
Analyse distributions and conditional probability models
Construct formal proof and connected multi-step solutions

Course contents

Every topic, lesson by lesson.

Term 1 · Unit 1

Number fluency, bounds and accuracy

Control exact and approximate values in multi-step GCSE calculations.

Term 1 · Unit 2

Indices, fractional powers and surds

Manipulate exact irrational quantities and general index forms.

Term 1 · Unit 3

Advanced algebraic manipulation

Transform expressions while preserving equivalence and structure.

Term 1 · Unit 4

Quadratic equations and graphs

Connect factorisation, roots, turning points and graphical solutions.

Term 1 · Unit 5

Equations and inequalities

Solve linked algebraic conditions exactly and graphically.

Term 2 · Unit 6

Sequences and iteration

Generalise arithmetic, geometric and quadratic patterns.

Term 2 · Unit 7

Functions and graph transformations

Use function notation and transform familiar graph families.

Term 2 · Unit 8

Coordinate geometry

Build equations and geometric arguments from coordinates.

Term 2 · Unit 9

Proportion and rates of change

Model direct, inverse and compound relationships.

Term 2 · Unit 10

Similarity, congruence and scale

Use formal criteria and dimensional scale factors.

Term 3 · Unit 11

Trigonometry and bearings

Solve two-dimensional and three-dimensional right-triangle problems.

Term 3 · Unit 12

Circles, sectors and solids

Combine exact circle measures with curved-surface geometry.

Term 3 · Unit 13

Statistics and distributions

Represent distributions and make careful comparative conclusions.

Term 3 · Unit 14

Conditional and combined probability

Represent multistage chance processes and conditional information.

Term 3 · Unit 15

Proof, modelling and Year 10 synthesis

Construct arguments, test assumptions and connect GCSE methods.

Concepts to practise again

Built from your saved practice attempts in this course, weakest question types first.

Complete a practice set in any lesson to see which question types to practise again.

Curriculum alignment

This course satisfies the following education systems.

British Curriculum

Cambridge