Subjects
Mathematics practice, free.
Algebra, calculus, geometry, statistics and arithmetic from school and entrance exams. Every question has an explanation, and the tests are timed like the real thing.
- 527questions
- 26topics
- 4exams covered
- Freeno plans or paywalls
Mathematics in Australia
Practise mathematics with the exams you can take in Australia.
Where do you want to start?
- 257 questions · 9 topicsCalculusLimits, differentiation and integration, from first principles to exam-style problems.Functions, calculus and probability · Calculus, functions and statistics · Functions, Differential Calculus and Exponential Modelling
- 125 questions · 8 topicsAlgebraEquations, functions, sequences and the manipulation skills every other topic depends on.Sequences and series · Functions, Relations and Composite Transformations · Quadratic equations
- 78 questions · 4 topicsStatistics and probabilityData, averages, counting methods and probability.Statistics and probability · Probability, Binomial and Normal Distributions · Permutations and combinations
- 37 questions · 3 topicsGeometry and trigonometryCoordinate geometry, lines and circles, vectors and trigonometry.Geometry and trigonometry · Vectors · Lines and slope
- 30 questions · 2 topicsArithmetic and numberPercentages, ratios, interest, speed and time: the quantitative aptitude toolkit.Percentages and percent change · Ratios, rates and proportions
The most practised topics.
Each topic has its own list of questions with explanations. Pick the exam you are preparing for.
Functions, calculus and probability
72 questions across 1 exam
Calculus, functions and statistics
58 questions across 1 exam
Statistics and probability
34 questions across 2 exams
Sequences and series
23 questions across 1 exam
Functions, Differential Calculus and Exponential Modelling
21 questions across 1 exam
Integral Calculus, Probability and Statistics
21 questions across 1 exam
Calculus: Differentiation and Optimization
20 questions across 1 exam
Calculus: Anti-differentiation and Areas Under Curves
20 questions across 1 exam
Real questions, worked answers.
- Functions, calculus and probability · Victorian VCEA particle moves along a line with displacement x = t 3 - 6t 2 + 9t metres at time t seconds. At what time t > 0 is the particle first at rest?See the answer and explanation →
- Calculus, functions and statistics · NSW HSCFind the x -coordinate of the local minimum of f(x) = x 3 - 3x.See the answer and explanation →
- Statistics and probability · SATThe mean of five numbers is 18. Four of the numbers are 24, 13, 13, 21. What is the fifth number?See the answer and explanation →
Practise it for real.
Mathematics in your exam.
How to practise mathematics.
- 1
Start with the topic you avoid
The topic you keep skipping is where the quickest marks are. Do one short set on it before anything else.
- 2
Try it before you read the explanation
Struggling for two minutes teaches more than reading a finished solution. Then compare your steps with ours.
- 3
Learn untimed, then add the clock
Get the method right first. Move to a timed mock test once a topic feels steady.
- 4
Keep a list of your mistakes
Write down why each answer was wrong: a sign slip, a formula you forgot, a misread question. The list shows what to fix.
- 5
Come back after a week
Repeat the questions you got wrong after a few days. That is when a method either sticks or fades.
Questions, answered.
- Is the maths practice really free?
- Yes. Every question, explanation, mock test and flashcard deck is free, with no plans or paywalls.
- Which exams does it cover?
- Maths questions from Victorian VCE, SAT, IB Diploma, NSW HSC. There are 527 maths questions on this page's list today.
- Does every question have an explanation?
- Yes. Each question has an explanation with the working or the key idea, and you can open any question on its own page.
- Can I take a timed test?
- Yes. The mock tests below run on a real timer and show a full review with explanations at the end.