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Free practice books, Edexcel 1MA1 Higher

Edexcel Higher Maths exam questions by topic

2,700 original practice questions across 60 modules, written by our maths tutors and organised into six free PDF practice books, one for each Edexcel content area. Every book includes GCSE-style mark allocations, formula guides, full methods and marking guidance.

These are not past papers. Every question is independently written, and every question comes in two linked parts: solve it, then verify it. That is how the top marks on Edexcel Higher papers are earned, so it is how the books are built.

Free to download. No sign up, no email required. Independent resources aligned to Pearson Edexcel GCSE Mathematics 1MA1, not produced, approved or endorsed by Pearson or Edexcel.

Downloads

Which Higher topics can I practise?

All six Edexcel content areas at Higher tier: Number, Algebra, Ratio and Proportion, Geometry and Measures, Probability, and Statistics. Download each book free as a PDF and print what you need. Sitting Foundation instead? Use our Edexcel Foundation lesson notebooks, which teach each topic from scratch.

Number

Modules 1 to 10450 questions

Indices and fractional powers, surds and exact values, standard form, exact fractions and recurring decimals, limits of accuracy and error, repeated and reverse percentage change, number reasoning and proof, estimation and systematic listing.

Download the Number book

Algebra

Modules 1 to 10450 questions

Notation and formulae, quadratic expansion, factorisation and equations, inequalities, simultaneous equations and modelling, linear, quadratic and geometric sequences, straight lines and circle tangents, non-linear graphs and transformations, functions and composites, algebraic fractions, iteration and proof.

Download the Algebra book

Ratio, Proportion and Rates of Change

Modules 1 to 10450 questions

Sharing and changing ratios, direct and inverse proportion with algebraic constants, similarity with area and volume scaling, compound growth and decay, reverse percentages, speed, density and pressure, and gradients and areas under graphs as rates of change.

Download the Ratio book

Geometry and Measures

Modules 1 to 10450 questions

Congruence and similarity, constructions and loci, circle theorems and geometric proof, arcs, sectors and frustums, Pythagoras and trigonometry including 3D problems, the sine and cosine rules, bearings, transformations and vectors.

Download the Geometry book

Probability

Modules 1 to 10450 questions

Relative frequency and expectation, the product rule for counting, Venn diagrams and set notation, frequency trees, independent and dependent events, tree diagrams with and without replacement, and conditional probability.

Download the Probability book

Statistics

Modules 1 to 10450 questions

Sampling and bias, quartiles and outliers, grouped data and estimated means, time series, cumulative frequency and box plots, histograms and frequency density, scatter graphs and lines of best fit, and comparing distributions.

Download the Statistics book
Free Website Edition, for personal and household educational use. Tutors and schools must obtain the appropriate licence before copying for learners. Resale, paid redistribution and third-party uploading are prohibited. These are independent resources aligned to the Pearson Edexcel GCSE Mathematics (1MA1) specification and are not produced, approved, endorsed by or affiliated with Pearson or Edexcel.
Structure

How is each book organised?

Every module follows the same four-stage sequence, 45 questions long, moving from fluency to exam conditions to grade 7 to 9 reasoning. There are no standalone 1 or 2 mark tasks: every question is a linked pair, a calculation and a verification, and both parts are compulsory. Answers, formulas and worked methods are collected at the end of each book.

The four stages in every module

  1. Higher Skill Builder: 8 questions confirming the prerequisites are accurate before the demand rises
  2. Standard Higher: 12 questions applying each skill at Higher tier, with complete methods and every algebraic or numerical step communicated
  3. Multi-step Higher: 15 original exam-style questions connecting methods across several stages, with exact values preserved until the final instruction
  4. Grade 7 to 9 Challenge: 10 extended problems using proof, generalisation, modelling and unfamiliar combinations, where every conclusion must be justified

What else is inside

  • a contents and study plan page with score boxes, so weak modules get flagged for a second attempt
  • a specification coverage map giving the Edexcel 1MA1 content references for every module, from N1 to S6
  • a five-step routine on every book: attempt, mark, repair, retest after 2 to 7 days, present
  • a Higher answer standard for each content area, stating what a full-marks answer must show
  • an error-coding routine, so a student can tell an interpretation error from an arithmetic or calculator-entry error and fix the right thing
  • full answers, formulas and worked methods at the end of each book, with method marks credited only when the mathematical setup is visible
  • exact values expected throughout: fractions, surds, powers and π stay exact unless a question requests rounding
Module map

What do the 60 modules cover?

Each book numbers its modules from 1 to 10, and every module states its Edexcel 1MA1 content references, so you can cross-check coverage against the specification or a school scheme of work. Module 10 in every book is a mixed problem-solving synthesis of the whole content area.

Book Modules Questions Edexcel 1MA1 content references
Number 1 to 10 450 N1 to N16
Algebra 1 to 10 450 A1 to A25
Ratio, Proportion and Rates of Change 1 to 10 450 R1 to R16
Geometry and Measures 1 to 10 450 G1 to G25
Probability 1 to 10 450 P1 to P9
Statistics 1 to 10 450 S1 to S6

The questions were written against the Pearson Edexcel 1MA1 Higher specification and the recurring assessment demands of the Higher papers, 1H, 2H and 3H, without reproducing any past-paper wording, diagrams or numerical data. Specification references identify curriculum alignment only; every explanation, question, solution and marking note is independently authored.

Using the books

How should a student use these?

Work one module at a time in the four-stage order, mark against the worked answers, code each error, and retest anything weak after 2 to 7 days. Edexcel Paper 1 is non-calculator, so practise some modules without one and keep values exact.

If the exam is months away

Follow each book in order, one or two modules a week. The retest step is the point: a correction only counts as secure when it can be reproduced from a blank page a few days later, without support.

If the exam is weeks away

Skip to the Multi-step Higher and Grade 7 to 9 Challenge sections of your weakest topics, then finish with Module 10 of each book, the mixed synthesis, to check the topic still holds together under exam-style mixing.

If you are aiming for grade 8 or 9

Start each module at the Grade 7 to 9 Challenge to find your ceiling fast, then drop back only where marks are lost. Treat the (b) verification parts as compulsory: Edexcel Higher rewards a justified conclusion, not just a correct number.

Guide: revising GCSE Maths

How to structure Maths revision so practice actually moves the grade, rather than re-reading notes.

Read the revision guide

Guide: official past papers

Where to find the real Edexcel past papers and mark schemes to sit alongside these books.

Find past papers

Guide: last-minute revision

What to do with the final weeks when there is no time left to cover everything.

Read the last-minute guide
Common questions

Practice book questions

The short version: the books are free for personal use, they include full worked answers, and they are written for the Edexcel Higher tier, grades 4 to 9.

Are these real Edexcel past paper questions?

No. Every question is original and independently written. The authors used the Pearson Edexcel 1MA1 Higher specification and the recurring demands of the Higher papers to decide coverage and mark weighting, without reproducing any past-paper wording, diagrams or numerical data. That means you can use these books and official past papers together without overlap.

Why does every question have an (a) and a (b) part?

Part (a) is the calculation and part (b) is the verification: rewriting powers with a common base, substituting a solution back, reversing a multiplier, or stating why a chosen bound is the right one. Both parts carry marks and both are compulsory. It trains the habit that separates grade 7 to 9 candidates on Edexcel Higher, which is showing a method that can be checked rather than a number that happens to be right.

Do the books include answers?

Yes. Every book collects full answers, formulas and worked methods at the end, and the marking guidance credits a method only when its mathematical setup is shown, mirroring how real Higher papers are marked. Students also code each error, for example as interpretation, exact arithmetic, calculator entry, algebra, accuracy or conclusion, so they can see what actually keeps going wrong.

Are they free? What is the licence?

The Free Website Edition is free for personal and household educational use. Tutors and schools must obtain the appropriate licence before copying for learners, and resale, paid redistribution and third-party uploading are prohibited.

Do they cover grade 8 and 9 content?

Yes. Every module ends with a Grade 7 to 9 Challenge section of extended problems, and the Higher-only material is all here: surds, fractional and negative indices, algebraic proof, functions and iteration, circle theorems, vectors, 3D trigonometry, histograms and conditional probability among it.

How are these different from your Edexcel Foundation notebooks?

They do different jobs. The Foundation lesson notebooks teach each topic from scratch, with explanations, worked examples and short practice sets, for grades 1 to 5. These Higher books assume the method has been taught and exist to practise it under exam-style demand, for grades 4 to 9, with 2,700 questions across 60 modules and a heavy weighting toward multi-step and proof questions. If a student is sitting Foundation, use the notebooks instead.

Is there a non-calculator paper I should practise for?

Yes. Edexcel Higher is assessed by three papers of equal weight and Paper 1 is non-calculator. Practise at least some of each module without a calculator, keeping fractions, surds, powers and π exact rather than reaching for a decimal.

My child keeps scoring low on the same module. What next?

Repeating the same questions rarely fixes it, because the problem is usually the method rather than the practice. If a module scores low after two honest attempts, that is the point to get the method retaught, whether by a teacher at school or a tutor. Fifteen of our tutors teach GCSE Maths and the first 30 minutes are free.

Stuck on a topic?

Practice finds the gaps. A tutor closes them

Fifteen of our tutors teach GCSE Maths, including three qualified teachers. Lessons are one to one on Zoom, £30 each with no premium for Higher tier, and the first 30 minutes are free with no card details. If a module keeps scoring low after two attempts, that is usually the sign to get help with the method rather than repeat the questions.