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.
- 365questions
- 17topics
- 3exams covered
- Freeno plans or paywalls
Mathematics in New Zealand
Practise mathematics with the exams you can take in New Zealand.
Where do you want to start?
- 128 questions · 7 topicsAlgebraEquations, functions, sequences and the manipulation skills every other topic depends on.Algebraic Procedures, Quadratic and Exponential Equations and Graphs · Complex Numbers, De Moivre's Theorem and Polynomial Theory · Sequences and series
- 105 questions · 4 topicsCalculusLimits, differentiation and integration, from first principles to exam-style problems.Calculus Methods, Derivatives, Kinematics and Coordinate Geometry · Differential and Integral Calculus, Real-World Modelling and Differential Equations · Differentiation
- 81 questions · 4 topicsStatistics and probabilityData, averages, counting methods and probability.Probability Concepts, Normal Distribution and Statistical Inference · Statistics and probability · Permutations and combinations
- 51 questions · 2 topicsGeometry and trigonometryCoordinate geometry, lines and circles, vectors and trigonometry.Conic Sections, Vectors, Mathematical Proof and Sequences · Vectors
The most practised topics.
Each topic has its own list of questions with explanations. Pick the exam you are preparing for.
Algebraic Procedures, Quadratic and Exponential Equations and Graphs
40 questions across 1 exam
Complex Numbers, De Moivre's Theorem and Polynomial Theory
40 questions across 1 exam
Calculus Methods, Derivatives, Kinematics and Coordinate Geometry
40 questions across 1 exam
Differential and Integral Calculus, Real-World Modelling and Differential Equations
40 questions across 1 exam
Probability Concepts, Normal Distribution and Statistical Inference
40 questions across 1 exam
Conic Sections, Vectors, Mathematical Proof and Sequences
39 questions across 1 exam
Sequences and series
23 questions across 1 exam
Statistics and probability
17 questions across 1 exam
Real questions, worked answers.
- Algebraic Procedures, Quadratic and Exponential Equations and Graphs · National Certificate of Educational AchievementWhat are the solutions to the quadratic equation x 2 - 7x + 12 = 0?See the answer and explanation →
- Complex Numbers, De Moivre's Theorem and Polynomial Theory · New Zealand ScholarshipUsing De Moivre's theorem, evaluate (1 + i) 8.See the answer and explanation →
- Calculus Methods, Derivatives, Kinematics and Coordinate Geometry · National Certificate of Educational AchievementWhat is the derivative of the function f(x) = 4x 3 - 5x 2 + 7x - 9?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 IB Diploma, National Certificate of Educational Achievement, New Zealand Scholarship. There are 365 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.