Practice Math — Free Problems with Solutions
Practice sets with hints, instant feedback, and a boss problem. Algebra, geometry, calculus, linear algebra. Middle school to first-year university. Free.
How do I practice math most effectively?
Three short sessions across several days beat one long cram session. Five to ten problems per session, always reviewing what went wrong — research shows this mix of "spaced repetition" and "active recall" is three to four times more effective than rereading. Use hints when you’re stuck, and finish the boss problem to confirm you’ve understood the problem type.
Foundations
Fractions, decimals, percentages and term manipulation — the base everything else builds on.
- Simplifying fractionsSoon
- Converting decimalsSoon
- Percentage calculationsSoon
- Simplifying expressionsSoon
Algebra
From linear to quadratic to higher-order equations — the language of patterns and unknowns.
- Solving linear equationsPractice
- Linear functionsSoon
- Quadratic equationsSoon
- Binomial formulasSoon
- Linear inequalitiesSoon
Geometry
Area, angles, the Pythagorean theorem, and intercept theorems — how shapes become measurable.
- Calculating areaSoon
- Pythagorean theoremSoon
- Intercept theoremSoon
- Types of anglesSoon
Statistics & probability
Probability, averages, and reading data — math that turns up in everyday life.
- Mean, median, modeSoon
- Probability basicsSoon
- Tree diagramsSoon
Calculus
Derivatives, integrals, and curve sketching — the mathematics of continuous change.
- Differentiation rulesSoon
- Curve sketchingSoon
- Integration basicsSoon
- Optimization problemsSoon
Linear algebra
Vectors, matrices, and systems of equations — the mathematical foundation of data analysis, computer graphics, and machine learning.
- Vector arithmeticSoon
- Matrix multiplicationSoon
- Gaussian eliminationSoon
- DeterminantsSoon
What these practice sets give you
Hints, not answers
When you’re stuck, you get the next step — not the result. Your learning stays intact.
Instant feedback
Every answer is checked immediately. On a wrong answer you see the correct working with a short note.
Boss problem
Each set ends with a harder problem that combines every method — like a mini-test.
Five-minute sessions
Each set fits a study break. No account, no pressure.
Three steps to confidence
- 1
Tutorial first
Read the matching tutorial once before practicing. Practice without theory leads to frustration.
- 2
Work the set
Move through the set. Use hints when you’re stuck — they reveal the next step, not the answer.
- 3
Beat the boss
The boss problem combines every method in the set. Solving it without help means you’ve understood the problem type.
Frequently asked
Quick reference
- Practice set
- A collection of four problems (three regular + one boss) on one problem type.
- Boss problem
- The harder closing problem that combines every method in the set.
- Hint
- A pointer to the next step — not the answer.
- Spaced repetition
- Learning technique: spread repetitions across several days instead of cramming.