GCSE Higher Maths Lessons

GCSE Maths Higher, grades 6 to 9

GCSE Higher maths lessons that show the method first

Interactive lessons for GCSE Maths Higher tier (9-1), built for students aiming at grades 6 to 9.

Each lesson teaches one topic. Your child sees a worked example one step at a time, then tries questions of the same kind and reveals each answer to check it.

28 topics are ready, and 26 more are being built. The lessons go on sale soon, so leave your email and we will tell you the day they open.

A worked example from the Equation of a Circle and Tangents lesson, next to six practice questions
Equation of a Circle and Tangents: a worked example beside its practice questions.
28lessons ready now
204units across the lessons
944worked examples
8,591practice questions with answers

Who the lessons are for

Use these lessons if your child

  • is sitting the Higher tier paper with AQA, Edexcel or OCR
  • is aiming for a grade 6, 7, 8 or 9
  • has met a topic in class and needs more worked examples and practice than the textbook gives
  • is revising for mocks or the summer exams and wants the hardest questions on each topic

Another route may suit your child better if they

How each lesson works

Every lesson follows the same pattern, so once your child knows one, they know them all.

1

A front page that maps the topic

Each lesson opens with its units in order, from the first skill to the hardest exam questions. Vectors, for example, runs from column vectors through routes in shapes to vector proofs.

The Vectors lesson front page, listing its seven units
Vectors: the front page lists every unit in teaching order.
2

Explore screens that show why a method works

Many lessons start with an Explore screen your child can play with. In Histograms, they switch between frequency and frequency density and merge two classes, to see why the height of each bar has to be frequency density.

The Explore screen in the Histograms lesson, comparing frequency with frequency density
Histograms: the Explore screen on frequency density.
3

Worked examples next to practice questions

Each unit shows a worked example one line at a time, with the method written beside it. Next to it sit easy, medium and hard questions of the same kind. Your child works each one out on paper, then reveals the answer to check it. In most units, New Questions gives a fresh set of numbers to try.

A compound interest worked example with time scales, next to practice questions
Compound Interest: a growth question over different time scales.
4

Review grids and the hardest GCSE questions

Each unit ends with a review grid of 10 mixed questions. Most lessons then finish with a unit of the hardest GCSE questions on that topic and a final mix of everything, which is where the grade 8 and 9 marks are.

A review grid of ten quadratic formula questions with four answers revealed
The Quadratic Formula: a review grid with four answers revealed.

The lessons work best on a laptop or desktop computer, with paper and a pen for the working. Built by an experienced maths teacher with over 3,000 hours of one-to-one tutoring experience and a Master's in Education.

The 28 GCSE Higher lessons

Grouped by topic area, in the order we teach them. Each line shows the units and practice questions in that lesson.

Number6 lessons

  1. 1
    Index Laws7 units, 308 practice questions
  2. 2
    Surds10 units, 490 practice questions
  3. 3
    Standard Form6 units, 283 practice questions
  4. 4
    HCF and LCM Using Prime Factors6 units, 304 practice questions
  5. 5
    Compound Interest8 units, 204 practice questions
  6. 6
    Direct and Inverse Proportion6 units, 283 practice questions

Geometry and measures7 lessons

  1. 19
    Interior and Exterior Angles8 units, 290 practice questions
  2. 20
    Right-Angled Trigonometry8 units, 355 practice questions
  3. 21
    Similar Shapes8 units, 384 practice questions
  4. 22
    Loci and Constructions8 units, 335 practice questions
  5. 23
    Vectors7 units, 349 practice questions
  6. 24
    Trigonometric Graphs and Transformations9 units, 422 practice questions
  7. 25
    Volume and Surface Area of Spheres, Cones, Pyramids and Frustums9 units, 429 practice questions

Algebra12 lessons

  1. 7
    Expanding Brackets8 units, 169 practice questions
  2. 8
    Factorising7 units, 151 practice questions
  3. 9
    Solving Quadratics by Factorising7 units, 262 practice questions
  4. 10
    The Quadratic Formula6 units, 210 practice questions
  5. 11
    Completing the Square8 units, 256 practice questions
  6. 12
    Algebraic Fractions7 units, 443 practice questions
  7. 13
    Functions6 units, 290 practice questions
  8. 14
    Quadratic Sequences7 units, 294 practice questions
  9. 15
    Equation of a Straight Line6 units, 324 practice questions
  10. 16
    Lengths of Lines, Parallel and Perpendicular Lines5 units, 268 practice questions
  11. 17
    Equation of a Circle and Tangents5 units, 245 practice questions
  12. 18
    Quadratic Simultaneous Equations8 units, 305 practice questions

Statistics and probability3 lessons

  1. 26
    Averages from Frequency Tables6 units, 238 practice questions
  2. 27
    Histograms8 units, 282 practice questions
  3. 28
    Equations with Probability10 units, 418 practice questions

26 more lessons are planned

These complete the GCSE Higher course at 54 lessons. We add each one once it has been built and checked.

Number

  • Recurring Decimals to Fractions
  • Upper and Lower Bounds
  • Percentages: Reverse Percentages, Growth and Decay
  • Ratio Problems

Algebra

  • Rearranging Formulae
  • Linear Simultaneous Equations
  • Algebraic Inequalities
  • Inequalities on Graphs, Quadratic Inequalities
  • Linear, Quadratic and Cubic Graphs, solving graphically
  • Reciprocal and Exponential Graphs
  • Gradients and Areas Under Graphs
  • Iteration
  • Algebraic Proof

Geometry and measures

  • Pythagoras and 3D Trigonometry
  • Sine Rule, Cosine Rule and the Area of a Triangle
  • Arcs and Sectors
  • Circle Theorems
  • Congruent Triangles
  • Transformations
  • Bearings
  • Compound Measures

Statistics and probability

  • Tree Diagrams and Conditional Probability
  • Venn Diagram Probability
  • Cumulative Frequency and Box Plots
  • Sampling and Capture-Recapture
  • Counting: Product Rule

Studying Edexcel IGCSE Higher?

Most of the Edexcel International GCSE (4MA1) Higher content is the same as GCSE Higher, so these lessons cover the shared topics. Some GCSE lessons also carry an extra unit marked IGCSE Only, such as magnitude in Vectors and domain and range in Functions.

Four topics are on IGCSE and not on GCSE: Differentiation, Arithmetic Sequences and Series, Intersecting Chords and Sets and Set Notation. They have their own lessons, on IGCSE Higher Maths: the extra topics.

Get an email when the GCSE Higher lessons open

We will email you on the day the lessons go on sale. You join our mailing list, and you can unsubscribe at any time.

Need help before then? See one to one GCSE maths tuition or our free GCSE past papers.

Questions parents ask

Which exam boards do the lessons cover?

AQA, Edexcel and OCR, at Higher tier. The GCSE maths content is set by the Department for Education, so all three boards test the same topics. The practice questions are written in the style of the Higher papers.

What grades are the lessons for?

Grades 6 to 9. Each lesson starts from the first skill in the topic, so a student moving up from Foundation can follow it. Most lessons then finish with the hardest GCSE questions on that topic, for students aiming at an 8 or 9.

Can my child use the lessons on their own?

Yes. Every set of questions comes after a worked example of the same kind, and your child reveals each answer to check their working. Look through their working once a week, because the lesson shows the answers and leaves the marking to your child.

What does my child need to use them?

A laptop or desktop computer with a web browser, plus paper and a pen for the working. The lessons open in the browser, so there is nothing to install.

When can I buy the lessons?

The date is not set yet. Join the list on this page and we will email you on the day they open.

Do the lessons cover Edexcel IGCSE Higher?

They cover the topics GCSE and IGCSE share. The four IGCSE-only topics have their own lessons, on IGCSE Higher Maths: the extra topics.