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.
- 400questions
- 20topics
- 3exams covered
- Freeno plans or paywalls
Mathematics in Taiwan
Practise mathematics with the exams you can take in Taiwan.
Where do you want to start?
- 150 questions · 2 topicsCalculusLimits, differentiation and integration, from first principles to exam-style problems.Differentiation · Integration
- 107 questions · 8 topicsAlgebraEquations, functions, sequences and the manipulation skills every other topic depends on.Basic results · Linear equations in one variable · Systems of linear equations
- 63 questions · 4 topicsStatistics and probabilityData, averages, counting methods and probability.Data, Probability and Inference · Statistics and probability · Arithmetic, Algebra, Geometry and Counting (Set 3)
- 55 questions · 4 topicsArithmetic and numberPercentages, ratios, interest, speed and time: the quantitative aptitude toolkit.Percentages and percent change · Arithmetic and percents · Ratios, rates and proportions
- 25 questions · 2 topicsGeometry and trigonometryCoordinate geometry, lines and circles, vectors and trigonometry.Geometry and trigonometry · Lines and slope
The most practised topics.
Each topic has its own list of questions with explanations. Pick the exam you are preparing for.
Differentiation
82 questions across 1 exam
Integration
68 questions across 1 exam
Basic results
25 questions across 1 exam
Data, Probability and Inference
25 questions across 1 exam
Percentages and percent change
18 questions across 1 exam
Geometry and trigonometry
18 questions across 1 exam
Statistics and probability
17 questions across 1 exam
Arithmetic and percents
15 questions across 1 exam
Real questions, worked answers.
- Differentiation · AP (Advanced Placement)If f(x) = 5x 3 + 2x 2 + 5x, what is f'(3)?See the answer and explanation →
- Integration · AP (Advanced Placement)Evaluate int 0 1 6x 2,dx.See the answer and explanation →
- Basic results · AP (Advanced Placement)What is the principal value of cos -1 (-1/2)?See the answer and explanation →
Practise it for real.
- AP Calculus AB Practice Test 145 questions · 60 min
- AP Calculus AB Practice Test 220 questions · 60 min
- AP Calculus AB Practice Test 320 questions · 60 min
- AP Statistics Practice Test 125 questions · 40 min
- GRE Quantitative Practice Test 130 questions · 45 min
- SAT Math Practice Test 122 questions · 35 min
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 AP (Advanced Placement), SAT, GRE. There are 400 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.