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.
- 429questions
- 30topics
- 3exams covered
- Freeno plans or paywalls
Mathematics in Japan
Practise mathematics with the exams you can take in Japan.
Where do you want to start?
- 164 questions · 12 topicsAlgebraEquations, functions, sequences and the manipulation skills every other topic depends on.Quadratic Functions · Sequences and series · Quadratic equations
- 98 questions · 6 topicsStatistics and probabilityData, averages, counting methods and probability.Statistics and probability · Counting and Probability · Permutations and combinations
- 85 questions · 8 topicsGeometry and trigonometryCoordinate geometry, lines and circles, vectors and trigonometry.Vectors · Geometry and trigonometry · Trigonometric Ratios
- 52 questions · 2 topicsCalculusLimits, differentiation and integration, from first principles to exam-style problems.Differentiation · Integration
- 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.
Statistics and probability
34 questions across 2 exams
Differentiation
29 questions across 2 exams
Counting and Probability
26 questions across 1 exam
Quadratic Functions
24 questions across 1 exam
Sequences and series
23 questions across 1 exam
Integration
23 questions across 2 exams
Quadratic equations
20 questions across 2 exams
Vectors
20 questions across 2 exams
Real questions, worked answers.
- 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 →
- Differentiation · EJU JapanLet f(x) = 3x 3+x 2-x-1. Find f'(2).See the answer and explanation →
- Counting and Probability · EJU JapanA committee of 3 people is to be chosen from 8 volunteers. How many different committees are possible?See the answer and explanation →
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 EJU Japan, SAT, IB Diploma. There are 429 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.