Complete preparation books for the entrance exams that decide university places — every question written from scratch and every answer worked through in full. For matric there is IEB and DBE practice too.
Nothing to buy. Nothing to sign up for.
The NBT book is also available in full in Afrikaans —
Die Volledige NBT Wiskunde Oefenboek.
800 pages · 935 questions · 11 chapters · 3 mock exams
The NBT Mathematics test gives you 60 questions in three hours with no calculator. This book teaches every topic it draws on, from factorising to differentiation, and explains not only the right answer but why each wrong option is tempting.
Read it chapter by chapter in your browser, or download the whole thing as a PDF and work through it offline.
Open the book362 pages · 367 questions · 11 chapters · 2 full papers
The digital SAT Math section is two modules of 27 questions, with a graphing calculator allowed on every one. This book covers every skill College Board publishes, and teaches the calculator as a skill in its own right.
It includes two complete papers in the real module shape, scored against the official conversion table.
Open the book359 pages · 354 questions · 11 chapters · 2 full papers
The enhanced ACT replaced the old paper in 2025: 45 questions in 50 minutes, with four answer choices instead of five. Most ACT material still in circulation is for the test that no longer exists.
The ACT also gives you no formula sheet, so one chapter is nothing but the formulas you must know, each with the reason it is true.
Open the bookThe DBE's papers, cut out and gathered into one booklet per topic — so you can finish the calculus before you start the trigonometry, instead of jumping between them the way a whole paper makes you. For the IEB, whose papers cannot be reproduced, practice generated to the same measured shape.
169 questions · 2 400 marks · English and Afrikaans
The NSC papers written by every public school and most independent ones. One booklet per topic, each with the official DBE marking guideline for every question in it, and each in both languages. The pages are clips of the original papers — nothing has been retyped or redrawn.
Open the CAPS booklets209 whole questions · all 98 topics · 6 mock papers
The IEB sets its own papers and they belong to it, so none of them is here. What is here is practice built to the same shape: 415 past IEB questions, from 32 of its papers, were labelled by topic, paper, section and mark value, and that measurement decides which topics appear, what each is worth, and how the 150 marks split between Section A and Section B. Every answer was produced by one method and checked by a different one before the page was written.
Open the IEB practiceAlgebra, in all three books. Equations, inequalities, systems, exponents and factorising, which every one of these tests leans on. The SAT book adds the graphing calculator it allows you; the NBT book adds the arithmetic it does not; the ACT book adds the formulas it will not give you.
Functions, geometry and trigonometry. Straight lines, parabolas, exponential growth, transformations, circles, similarity and the right-triangle ratios. All three tests lean on these, in different proportions, and each book follows its own.
Data and the rest. Averages, spread, probability and reading a study honestly. The NBT book goes on to compound interest, annuities, sequences and calculus; the SAT book goes to margins of error and the questions with no options at all; the ACT book to number and quantity, and a chapter of nothing but the formulas you must know.
The NBT chapter list → The SAT chapter list → The ACT chapter list →
A book teaches the method. These three build the speed and the repetition that make it automatic. All of them are free, and all of them run in your browser.
11 topics · timed sprints · progress saved locally
The NBT allows no calculator, so arithmetic speed is worth real marks. Drill addition through cube roots and percentages, set your own number ranges, and race a timer if you want the pressure.
Start practisingfreshly generated · optional answer key
Build an arithmetic worksheet in a few clicks, choose the topics and number ranges, and print it with or without answers. No two classes get the same questions.
Make a worksheet30 sheets · 900 questions · all seven levels
The OMPT is the online placement test used by more than thirty universities — omptest.org lists them, from Amsterdam and Leuven to Vilnius and Dublin. Pick your level — A to G — and you get every mathematics topic on its syllabus, chapter by chapter, a mixed paper drawn from that syllabus alone, and you choose how long each sheet is.
Practise for the OMPTNBT results affect university admission and placement, and commercial preparation courses are expensive. These books took months to write and every answer in them is checked by machine before each release, but they cost you nothing.
The site is paid for by a small number of ads. They are kept off the practice screens and out of the way of the reading, because a study site that fights you is a study site you stop using.
Share it freely with anyone who needs it — learners, classmates, a whole school. Please link to the pages here rather than re-uploading the PDF elsewhere, so that everyone gets the corrected, current version.