For South African learners
Free mathematics practice,
built to be worked through.
A complete National Benchmark Test preparation book — 597 pages, 915 questions,
every one with a full worked solution — plus a mental arithmetic trainer and a
printable worksheet generator.
Nothing to buy. Nothing to sign up for.
01
The NBT book
The Complete NBT Mathematics Practice Book
597 pages · 915 questions · 10 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 book
02
Daily practice
Mental arithmetic trainer
11 topics · timed sprints · progress saved locally
The NBT gives you 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.
Your settings and streaks stay in your own browser. There is no account and
nothing is uploaded.
Start practising
03
For teachers and parents
Printable worksheet generator
Build an arithmetic worksheet in a few clicks — choose the topics and number
ranges, pick a layout, and print it with or without an answer key. Every sheet is
freshly generated, so no two classes get the same questions. Free to use in any
classroom.
Make a worksheet
What the book covers
Ten chapters, built from the actual test
Algebra and number. Factorising, equations, inequalities, exponents,
surds, logarithms, ratio and proportion, percentages, scientific notation, and the
parity and last-digit tricks the test likes to use.
Functions, geometry and trigonometry. Straight lines, parabolas,
hyperbolas, exponentials, absolute-value graphs, transformations, circle geometry,
similarity, mensuration, identities and the sine and cosine rules.
Data, finance and calculus. Averages, probability, compound
interest, annuities, sequences and series, and differentiation from first principles
through to optimisation.
See the full chapter list →
Why this is free
Because the people who need it most can least afford it
NBT results affect university admission and placement, and commercial preparation
courses are expensive. This book took months to write and every answer in it was
verified by computation before it was published, but it costs 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.