Eduqas Higher Maths exam questions by topic
1,548 original practice questions in 129 chapters, written by our maths tutors and organised into six free PDF books, one for each Eduqas content area. Every question has a complete worked solution.
These are not past papers. Every question is independently written and worth 4 to 6 marks, because that is where Higher grades are won and lost: in multi-step problems that need a justified method, not a quick recall answer.
Free to download. No sign up, no email required. Independent resources aligned to Eduqas GCSE Mathematics C300, not produced, approved or endorsed by Eduqas or WJEC.
Which Higher topics can I practise?
All six Eduqas content areas at Higher tier, including every Higher-only topic. Download each book free as a PDF and print what you need. Want a topic taught before you practise it? Use our Eduqas Higher lesson notebooks, which pair chapter for chapter with these books.
Number
Ordering real numbers, primes and the product rule, integer and fractional indices, surds and exact values, standard form, recurring decimals, fractions and percentages as operators, compound measures, estimation, error intervals and limits of accuracy.
Download the Number bookAlgebra
Manipulation, identities and proof, functions, inverses and composites, quadratic roots and turning points, graph transformations, gradients and areas under graphs, circle equations and tangents, quadratic and simultaneous equations, iteration, inequalities and quadratic nth terms.
Download the Algebra bookRatio, Proportion and Rates of Change
Compound-unit conversion, density and pressure, ratio and proportion, percentage change, direct and inverse proportion, similarity and scale factors, algebraic proportion, instantaneous and average rates of change, and growth, decay and iteration.
Download the Ratio bookGeometry and Measures
Constructions and loci, congruence and geometric proof, transformations, eight chapters on circle theorems, coordinate geometry, plans and elevations, bearings, area and volume, arcs and sectors, Pythagoras and trigonometry, the sine and cosine rules, and vector proof.
Download the Geometry bookProbability
Frequency trees and expected outcomes, the addition rule, systematic counting, sets and Venn diagrams, independence, tree diagrams with and without replacement, conditional probability from tables, Venn diagrams and trees, and algebraic probability.
Download the Probability bookStatistics
Sampling methods and bias, questionnaires, two-way tables and time series, histograms and frequency density, cumulative frequency, weighted and grouped means, box plots, comparing distributions, population estimation, investigations and scatter graphs.
Download the Statistics bookHow is each book organised?
Every chapter follows the same sequence and holds 12 questions worth 4 to 6 marks each. There are no quick 1 or 2 mark tasks: every question needs a method, a justification and a final check. Worked solutions sit straight after each chapter's questions.
The four parts of every chapter
- Chapter purpose: the topic, its content reference and the Higher reasoning the chapter expects
- Method and assessment map: a method routine, the marking principle and a note on calculator choice
- Practice: 12 questions worth 4 to 6 marks, with Questions 9 to 12 as the stretch set
- Worked solutions and record: a complete solution for every question, then a completion and retest record
What else is inside
- a contents page linking every chapter to its Higher content reference, from HN1 in Number to HS7 in Statistics
- no 1 or 2 mark tasks: every question carries 4 to 6 marks and needs a structured method
- every question asks for the main method or assumption to be justified and for a final check
- worked solutions that credit equivalent valid methods, as real marking does
- questions that connect topics, such as number with algebra or ratio with geometry
- marks shown as independent teaching allocations, not official Eduqas marks
- exact values kept throughout: fractions, surds and π stay exact unless rounding is asked for
What do the 129 chapters cover?
Each book numbers its chapters from 1 and gives every chapter a Higher content reference. Larger areas are split into lettered parts, so circle theorems in Geometry and conditional probability in Probability each get several chapters rather than one crowded one.
| Book | Chapters | Questions | Content references |
|---|---|---|---|
| Number | 1 to 16 | 192 | HN1 to HN16 |
| Algebra | 1 to 25 | 300 | HA1 to HA25 |
| Ratio, Proportion and Rates of Change | 1 to 17 | 204 | HR1 to HR17 |
| Geometry and Measures | 1 to 33 | 396 | HG1 to HG25 |
| Probability | 1 to 18 | 216 | HP1 to HP9 |
| Statistics | 1 to 20 | 240 | HS1 to HS7 |
The questions were written against the Eduqas GCSE Mathematics (C300) Higher content and the demands of its two papers, without reproducing any past-paper wording, diagrams or numerical data. Content references identify curriculum alignment only; every question, solution and marking note is independently authored.
How should a student use these?
Work one chapter at a time, mark against the worked solutions, and retest anything weak after 2 to 7 days. Most Eduqas content can appear on either paper, so do some of every chapter without a calculator.
If the exam is months away
Follow each book in order, two or three chapters a week, and use the completion record. 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
Go to your weakest topics and start at Question 9, the stretch set. If those fall apart, drop back to Questions 1 to 8; if they hold, move on to the next topic.
If you are aiming for grade 8 or 9
Spend most of your time on the chapters with lettered parts, such as circle theorems and conditional probability, and on every final check. Higher marks reward 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 guideGuide: official past papers
Where to find the real Eduqas past papers and mark schemes to sit alongside these books.
Find past papersGuide: last-minute revision
What to do with the final weeks when there is no time left to cover everything.
Read the last-minute guidePractice book questions
The short version: the books are free for personal use, every question has a complete worked solution, and they are written for Eduqas Higher tier, grades 4 to 9.
Are these real Eduqas past paper questions?
No. Every question is original and independently written. The authors used the Eduqas GCSE Mathematics (C300) Higher content and the demands of its two 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 is every question worth 4 to 6 marks?
Short recall questions are easy to find; extended problems are not, and they decide grades 7 to 9. Every question here needs a set-up, accurate working and a justified conclusion, which trains the habits Eduqas Higher papers reward on both components.
Do the books include answers?
Yes. A complete worked solution follows each chapter's questions, and equivalent valid methods are credited, as they are in real marking. Each chapter then ends with a completion and retest record.
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.
How do these relate to your Eduqas Higher lesson notebooks?
Each notebook lesson matches one chapter here, and its eight practice questions are Questions 1 to 8 of that chapter. So the two sets together give 12 distinct questions per topic, not 20. Use the notebook to learn the method, then come back here for Questions 9 to 12, the stretch set.
Do they cover grade 8 and 9 content?
Yes. All Higher-only content is here, including surds and fractional indices, algebraic proof, functions and iteration, graph transformations, circle theorems, the sine and cosine rules, vectors, histograms and conditional probability.
How is Eduqas Higher examined?
Two papers of 2 hours 15 minutes each, worth 120 marks and half the grade each. Component 1 is non-calculator and Component 2 allows a calculator, and most content can appear on either. Practise some of every chapter without a calculator, keeping fractions, surds and π exact rather than reaching for a decimal.
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 chapter keeps scoring low after two attempts, that is usually the sign to get help with the method rather than repeat the questions.