63 lessons across six free PDF notebooks covering the complete AQA Higher pathway, references N1 to N16, A1 to A25, R1 to R16, G1 to G25, P1 to P9 and S1 to S6. Every lesson explains the idea, derives the method, models it in worked steps, then moves through guided practice, independent questions and grade 7 to 9 reasoning tasks.
Higher tier assesses all relevant Foundation knowledge as well as Higher-only material, so each notebook teaches routine skills as prerequisites, then extends them through exact calculation, proof, modelling and multi-step reasoning.
Free to download. No sign up, no email required. Independent resources aligned to AQA Mathematics 8300, not endorsed by or affiliated with AQA.
All six AQA Higher content areas, including every Higher-only topic: surds, algebraic fractions and proof, circle theorems, the sine and cosine rules, vectors, conditional probability, histograms and box plots. Download each notebook free as a PDF.
Number systems and proof of irrationality, prime factorisation, the product rule for counting, fractional indices, exact calculation with surds and rationalising denominators, standard form, recurring decimals, reverse percentages, compound measures, estimation and bounds.
Download the Number notebookAlgebraic fractions, rearranging formulae, proof and functions including composites and inverses, perpendicular lines, quadratic, cubic, reciprocal, exponential and trigonometric graphs, transformations, circle equations and tangents, the quadratic formula, iteration, inequalities and quadratic nth terms.
Download the Algebra notebookDimensional reasoning, multiplicative comparison, mixing and concentration, algebraic direct and inverse proportion with powers, compound measures and flow, similarity scale factors, average and instantaneous rates of change, compound growth and decay, and iterative processes.
Download the Ratio notebookConstructions and loci, geometric proof, combined transformations with negative enlargements, circle theorems including the alternate segment theorem, cones, spheres and frustums, exact trigonometric values, the sine and cosine rules, triangle area and vector proof.
Download the Geometry notebookRelative frequency and convergence, the general addition rule, Venn diagrams with set notation and algebra, independent and dependent events, and the Higher-only P9 requirement: conditional probability from tables, frequency trees, Venn and tree diagrams, including reverse conditional reasoning.
Download the Probability notebookSampling including stratified samples, grouped estimates, quartiles, interquartile range and outlier fences, and the Higher-only S3 content in full: histograms with frequency density, cumulative frequency graphs and quantile estimates, plus box plots and distribution comparison.
Download the Statistics notebookEvery notebook is independently written and is not endorsed by AQA or any other examination board. Explanations, examples and diagrams are original. Each unit links the official AQA specification section it covers, so you can check coverage at source.
Every lesson explains why a method works before drilling it, keeps exact values through the working, and finishes with the kind of justify, prove and evaluate tasks that separate grade 7 to 9 answers from routine ones.
63 lessons across the six notebooks, covering the complete Higher reference pathway with no gaps: every strand from N1 to S6 appears in a lesson's specification focus.
| Unit | Lessons | AQA specification references |
|---|---|---|
| Number | 11 | N1 to N16 |
| Algebra | 15 | A1 to A25 |
| Ratio, Proportion and Rates | 12 | R1 to R16 |
| Geometry and Measures | 15 | G1 to G25 |
| Probability | 10 | P1 to P9 |
| Statistics | 10 | S1 to S6 |
The Higher-only material sits inside the same lessons as its prerequisites, so surds follow indices, the cosine rule follows right-angled trigonometry, and conditional probability follows tree diagrams. A student moving up from Foundation can join at any unit without a separate bridging course.
Work one lesson at a time in the five-stage order, keep exact values through the working the way the examples do, and mark honestly against the answer guide. The reasoning extensions are where grade 7 to 9 marks are built, so do not skip them.
Read Understand the idea and Build the method before touching a question, then cover each worked solution and reproduce every step. The point is to be able to say why each move is valid, not only to copy it.
Prioritise the reasoning extensions and the Common trap notes. Top-band marks come from justified methods, exact forms and spotting when a familiar rule does not apply, which is exactly what those sections train.
The notebook teaches and derives the method; the matching module in our free Higher practice books then tests it with exam-style questions and full answers. Together they cover teach, practise and retrieve.
2,430 original AQA Higher practice questions across 54 modules, in six free PDF practice books with formula guides, worked methods and full answers.
Get the practice booksHow to structure Maths revision so practice actually moves the grade, rather than re-reading notes.
Read the revision guideWhere to find the real AQA past papers and mark schemes to sit alongside these notebooks.
Find past papersThe short version: the notebooks are free, they cover the full Higher specification including every Higher-only topic, and every unit ends with answers and a mastery record.
They are teach-from-scratch lesson books, closer to a textbook than a question bank. Every lesson explains the idea, derives the method, models it in worked steps, then moves through guided practice, independent questions and grade 7 to 9 reasoning tasks. For pure exam-style drilling, use them alongside our free Higher practice books, which hold 2,430 original questions across 54 modules.
Yes. Every unit ends with a complete answer guide covering each independent practice question, paired with a checking prompt for the working. Each unit also closes with a mastery record, a tick list of AQA references for tracking which lessons are secure.
Yes, all of them. Surds and fractional indices, algebraic fractions and proof, composite and inverse functions, iteration, circle equations and tangents, circle theorems, the sine and cosine rules, frustums, exact trigonometric values, vector proof, conditional probability, histograms with frequency density, cumulative frequency graphs, quartiles and box plots each have a dedicated lesson, alongside the Foundation prerequisites they build on.
Yes. All six notebooks are free to download as PDFs from this page, with no sign up and no email required. They are independently produced and are not endorsed by AQA or any other examination board.
Anywhere. Higher tier assesses all relevant Foundation knowledge as well as Higher-only material, so each lesson teaches the routine skills as prerequisites before extending them. A student unsure of the basics can work a unit from lesson one; a confident student can jump to the Higher-only lessons and use the earlier ones as reference. A separate set of Foundation lesson notebooks exists for students staying on that tier.
That gap is usually about method selection and justification rather than knowledge, which is what the reasoning extensions train. Work the Common trap notes, then test the topic in the matching Higher practice book module. If marks still slip after two honest attempts, that is the point to get the method retaught. Fifteen of our tutors teach GCSE Maths and the first 30 minutes are free.
Fifteen of our tutors teach GCSE Maths, including three qualified teachers. Lessons are one to one on Zoom, £30 each, and the first 30 minutes are free with no card details. If a lesson keeps losing marks after two attempts, that is usually the sign to get the method retaught rather than reread.
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