Subject

Math

From counting and shapes to algebra, calculus and beyond - number magic one tiny step at a time.

Maths is the longest ladder on BrainSnail, running from counting and shapes through times tables, fractions, ratio, algebra, geometry, trigonometry, functions, probability, precalculus and into calculus and beyond.

It is also the subject where skipping ahead hurts most. Almost every unit assumes the one before it, and a shaky grasp of fractions will quietly undermine algebra years later. If something feels hard, the problem is usually two units earlier rather than in front of you.

Mathematics is the only subject where you can be certain, and the habits it builds - defining terms, checking cases, following an argument to its conclusion - are useful long after the specific techniques fade.

Units
18
Steps
378
Questions
2,161

Who this track is for

Genuine primary school through to first-year university calculus and higher topics.

How to approach it

  • Go in order, and go back rather than pushing forward when stuck
  • Fractions, ratio and negative numbers cause most later algebra trouble
  • Practice frequency beats session length in maths more than in any other subject
Study guide · 9 min readHow to Learn MathsAlmost nobody is bad at maths. Almost everybody who thinks they are broke somewhere specific and kept going. A guide to finding your actual gap, why fractions are the usual culprit, and what practice should look like.

What you will be able to do

  • Work confidently with fractions, decimals and percentages in either direction
  • Set up and solve an equation from a written problem
  • Read a statistic and say whether it supports what it is being used for
  • Estimate well enough to notice when an answer is obviously wrong

The thing people get wrong

That some people are maths people and some are not. Nearly all persistent difficulty traces back to a specific earlier gap - usually fractions or negative numbers - and gaps are fixable in a way that talent is not.

If you only do 3 units

These three carry almost all the mathematics that turns up outside a classroom. Fractions are the foundation everything later is built on, proportional reasoning is the single most useful skill in the subject, and probability is where intuition is most reliably wrong.

  1. Fractions and Decimals
  2. Ratio, Proportion and Percent
  3. Probability and Statistics

What the questions look like

8 real questions from across the Math track, easiest first, each with the answer and the reason behind it. Every unit page below has thirty more.

  • Choose all that applyLevel 1

    1. Which groups have exactly 3 items?

    • 🍎🍎🍎correct
    • ⭐⭐⭐correct
    • 🔵🔵
    • 🐱🐱🐱🐱

    The apple group and the star group each have 3 items.

  • Choose all that applyLevel 1

    2. Which shapes have exactly 4 sides? Pick all that apply.

    • Squarecorrect
    • Rectanglecorrect
    • Triangle
    • Circle

    A square and a rectangle each have 4 sides; a triangle has 3 and a circle has none.

  • Build the sentenceLevel 1

    3. Build the sentence about arrays.

    Answer: An array has rows and columns

    An array is a neat grid with rows and columns.

  • Choose all that applyLevel 2

    4. Which sums equal 50? Pick all that are right.

    • 35 + 15correct
    • 20 + 30correct
    • 25 + 20
    • 40 + 15

    35 + 15 and 20 + 30 both make 50.

  • Build the sentenceLevel 2

    5. Build a true sentence about adding fractions.

    Answer: To add fractions keep the same denominator

    When denominators match, you keep the denominator and add the numerators.

  • Build the sentenceLevel 2

    6. Build the true sentence about length.

    Answer: One meter equals one hundred centimeters

    One meter equals one hundred centimeters.

  • Build the sentenceLevel 2

    7. Build a true sentence about pie charts.

    Answer: A pie chart shows parts of a whole

    A pie chart shows parts of a whole as slices of a circle.

  • Build the sentenceLevel 2

    8. Build a true sentence about a right angle.

    Answer: A right angle is 90 degrees

    A right angle is 90 degrees.

Units in Math

Listed in the order they are meant to be worked through.

  1. Counting and NumbersCounting, number names, comparing and place value21 steps · 120 questions
  2. Adding and SubtractingAddition, subtraction, number bonds and simple sums21 steps · 120 questions
  3. Shapes and Patterns2D and 3D shapes, patterns, position and symmetry21 steps · 120 questions
  4. Times Tables and SharingMultiplication, times tables, division and sharing21 steps · 120 questions
  5. Fractions and DecimalsParts of a whole, equivalent fractions, decimals and percents21 steps · 120 questions
  6. Measurement, Time and MoneyLength, weight, capacity, time, money and units21 steps · 120 questions
  7. Data and GraphsPictographs, bar charts, tables and simple averages21 steps · 120 questions
  8. GeometryAngles, polygons, perimeter, area and transformations21 steps · 120 questions
  9. Integers and Number TheoryNegative numbers, factors, multiples, primes and roots21 steps · 120 questions
  10. Ratio, Proportion and PercentRatios, rates, proportions, percent problems and scale21 steps · 120 questions
  11. Pre-AlgebraVariables, expressions, order of operations and equations21 steps · 120 questions
  12. AlgebraLinear equations, systems, polynomials and quadratics21 steps · 121 questions
  13. Geometry and TrigonometryPythagoras, area and volume, circles and trig ratios21 steps · 120 questions
  14. Functions and GraphsThe coordinate plane, functions, slope and graph shapes21 steps · 120 questions
  15. Probability and StatisticsProbability, counting, distributions and sampling21 steps · 120 questions
  16. PrecalculusPolynomial functions, logarithms, sequences and complex numbers21 steps · 120 questions
  17. CalculusLimits, derivatives, integrals and their applications21 steps · 120 questions
  18. Higher MathematicsLinear algebra, logic, sets, proof and number systems21 steps · 120 questions

Practise Math

2,161 questions, in tiny sessions you can finish in a few minutes.

Start playing

Where these questions come from. Each unit starts as a plan of the concepts it should cover and the difficulty it should span. Questions are written against that plan with AI assistance, then checked by a validator that rejects anything without a single defensible answer, an explanation, or plausible wrong options. How we write questions sets out the whole process, and corrections are fixed in the bank and reach the site and the app the same day.