Step-by-step maths, written by people who teach it.

We publish long-form guides on the high-school and first-year university topics that students actually get stuck on — quadratics, derivatives, the Pythagorean theorem — and pair each one with a small calculator that shows every step of the work, never just the final answer.

  1. Quadratic equations: from intuition to the formula

    Why the discriminant tells you the number of roots before you ever apply the formula, three ways to solve x² − 5x + 6 = 0 by hand, and the mistakes I see most often when students use the formula on a test.

  2. Derivatives, properly explained

    What the derivative actually measures (and what it doesn’t), how the power, product, quotient and chain rules drop out of the limit definition, and how to recognise which one to use without guessing.

  3. The Pythagorean theorem, four different proofs

    A diagram-driven walk through the most famous identity in geometry, with a visual rearrangement proof, an algebraic proof, a similar-triangle proof, and the converse you need for SAT and GCSE problems.

  4. Systems of linear equations: substitution & elimination

    Solving 2×2 systems of equations by substitution and elimination, when to use each method, and how to spot special cases like parallel lines and identical lines algebraically.

  5. Definite integrals and the area under a curve

    The Riemann-sum definition, the fundamental theorem of calculus, and how to evaluate a definite integral by antidifferentiation. Pairs with a step-by-step numerical integration calculator.

  6. Limits, and why epsilon-delta is not as scary as it looks

    The intuitive definition of limits, how to handle indeterminate forms (0/0, ∞/∞) using factoring and L’Hôpital’s rule, and a step-by-step solver.

  7. Percentages: the three things you can be asked

    Mastering the three types of percentage questions (finding the percentage, finding the part, and finding the whole) with a unified algebraic approach and an interactive calculator.

  8. Age word problems, demystified

    How to translate English age puzzles into clean systems of linear equations, and a step-by-step solver for two-person age problems.

All 15 posts in the blog →

Each section contains in-depth lessons and step-by-step calculators designed to help you verify your steps and master the curriculum.

Maths Solver is run by two former classroom teachers, Daniel Whitman and Sara Lin. We started the site after years of writing the same explanations on whiteboards for one student at a time, and eventually deciding the explanations might be more useful as something we could actually link to. Everything is free; the site is supported by unobtrusive display ads. There is no app, no premium tier, and no login. You can read more about the project here or get in touch if you spot a mistake.