Numbers
Fractions Explained
A fraction names part of a whole: the bottom number says how many equal parts, the top number says how many of them you have.
A free maths reference · est. 2026
130 lessons across 8 topics, each built the same way: the idea in plain words, a worked example you can follow line by line, the formulas worth remembering, and where it turns up in real life.
Not sure where to begin? Pick the stage that fits and we will point you at the right lessons and tools.
Ages 5–8
Counting, comparing, shapes, simple measuring and telling the time.
Open the beginners guide →Ages 9–12
Fractions, decimals, percentages, angles, area, averages and units.
Open the primary guide →Ages 13–16
Algebra, equations, quadratics, transformations, probability and interest.
Open the secondary guide →Ages 17+
Calculus, functions, standard deviation and compound growth.
Open the advanced guide →Numbers
A fraction names part of a whole: the bottom number says how many equal parts, the top number says how many of them you have.
Algebra
A quadratic has an x² term. Its graph is a parabola, and it can have two, one or no real solutions.
Geometry
Three sides, three angles that always add to 180 degrees. Equilateral, isosceles and scalene triangles are named by their sides.
Data & Statistics
Probability puts a number on uncertainty, from 0 for impossible to 1 for certain.
Calculus
The derivative measures instantaneous rate of change: the gradient of a curve at a single point.
Money & Finance
With compound interest, each period earns interest on everything so far, including past interest. Growth snowballs.
Check an answer, then see the method behind it.