Library

Two people who have never met can create a shared secret simply by talking out loud, in full view of everyone. The idea that paved the way for modern cryptography.

Discover triangles in all their forms: definitions, classification by sides and angles, the triangle inequality and Pythagoras’ theorem, with practical examples.

Learn how to work with powers and how to write very large or very small numbers using scientific notation, an essential tool in both maths and science.

Learn how to recognise a proportional situation, how to use the cross-multiplication method, and how to calculate everyday percentages: sales, price increases and discounts will hold no secrets for you.

Find out how letters replace numbers in maths: write, simplify and calculate algebraic expressions step by step, without getting tripped up by the symbols.

Learn how to convert a product into a sum using the distributive property, from the simple rule k(a+b) right through to double distributivity (a+b)(c+d), with examples and pitfalls to avoid.

Learn how to convert a sum into a product using a common factor: a key skill for simplifying expressions and preparing to solve equations.

Discover the three essential algebraic formulas for quickly expanding and factoring, with practical examples and the pitfalls you must avoid at all costs.

Learn how to recognise, write and solve linear equations step by step, whilst avoiding the sign-related pitfalls that cost pupils the most marks at secondary school.

Learn how to turn a word problem into an equation, then solve it to find the answer hidden within the text.

Learn how to solve linear inequalities with one unknown and plot their solutions on a graduated line, whilst avoiding the pitfall of changing the direction of the inequality.

Learn how to solve systems of two equations with two unknowns using substitution and elimination, and discover how these methods can be used to model real-life situations.

Learn how to convert a quadratic trinomial into standard form to instantly identify the vertex of the parabola, solve equations and analyse signs with ease.

Learn how to recognise, solve and interpret quadratic equations using the discriminant and factored form, illustrated with practical examples.

Learn how to determine, without plotting the graph, whether a quadratic trinomial is positive, negative or zero depending on the values of x – an essential skill for solving quadratic inequalities.

An advanced course covering the structure of polynomials, Euclidean division and factorisation techniques: roots, multiplicity, notable identities and irreducibility over R.

Learn how to identify, measure and construct angles, then discover the properties that link angles and parallel lines to solve geometry problems.

Discover the relationship between the sides of a right-angled triangle and learn how to work out a missing length or check whether a triangle is right-angled.

Learn how to identify a Thales’ theorem scenario, calculate a missing length and prove that two lines are parallel using the converse.

Find out how the sides of a right-angled triangle and the sine, cosine and tangent ratios can be used to calculate unknown lengths and angles.

Discover circles and discs, learn how to calculate their perimeters and areas, then explore central angles and inscribed angles and their properties.

Learn how to work out the perimeter and area of common shapes — rectangles, squares, triangles, circles and discs — using simple formulas.

Learn how to work out the volume of a cube, a rectangular prism, a cylinder, a pyramid and a sphere using simple formulas and practical examples.

Find out how a reflection, a half-turn and a slide can transform a geometric shape, then learn how to construct the image of points and shapes step by step.