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.
- 523questions
- 23topics
- 4exams covered
- Freeno plans or paywalls
Mathematics in Hong Kong
Practise mathematics with the exams you can take in Hong Kong.
Where do you want to start?
- 243 questions · 9 topicsAlgebraEquations, functions, sequences and the manipulation skills every other topic depends on.Number and Algebra · Sequences and series · Quadratic equations
- 84 questions · 4 topicsStatistics and probabilityData, averages, counting methods and probability.Statistics and probability · Permutations and combinations · Probability
- 76 questions · 3 topicsCalculusLimits, differentiation and integration, from first principles to exam-style problems.Differentiation · Integration · Complex Numbers, Matrices, Series and Calculus
- 70 questions · 4 topicsGeometry and trigonometryCoordinate geometry, lines and circles, vectors and trigonometry.Geometry and trigonometry · Vectors · Coordinate geometry
- 50 questions · 3 topicsArithmetic and numberPercentages, ratios, interest, speed and time: the quantitative aptitude toolkit.Percentages · 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.
Number and Algebra
90 questions across 1 exam
Sequences and series
46 questions across 2 exams
Statistics and probability
34 questions across 2 exams
Differentiation
29 questions across 2 exams
Permutations and combinations
28 questions across 2 exams
Quadratic equations
26 questions across 3 exams
Integration
25 questions across 2 exams
Geometry and trigonometry
24 questions across 2 exams
Real questions, worked answers.
- Number and Algebra · HKDSE (Hong Kong)The marked price of a watch is increased by 20 % and then sold at a discount of 25 %. What is the overall percentage change in the price of the watch?…See the answer and explanation →
- Sequences and series · Cambridge A-LevelThe first term of an arithmetic progression is 4 and its common difference is 6. What is the sum of its first 16 terms?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.
- A-Level Further Mathematics Practice Test 122 questions · 30 min
- Cambridge A-Level Mathematics Practice Test 140 questions · 60 min
- HKDSE Mathematics Compulsory Part Practice Paper 120 questions · 60 min
- IB Mathematics AA Practice Test 140 questions · 60 min
- SAT Math Practice Test 122 questions · 35 min
- SAT Math Practice Test 240 questions · 60 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 Cambridge A-Level, SAT, HKDSE (Hong Kong), IB Diploma. There are 523 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.