Library

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

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.

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

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.

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

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

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

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.

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

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

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.

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

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.

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 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.

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 work out the greatest common divisor of two numbers and use it to simplify any fraction to its simplest form.

Learn how to recognise the multiples and divisors of a number, how to use the criteria for divisibility, and how to factorise a number into prime factors, with simple examples and pitfalls to avoid.

Discover relative numbers to understand negative temperatures, altitudes below sea level and debts, then learn how to compare, add and subtract them without making mistakes.

Learn how to add, subtract, multiply and divide fractions using simple methods, practical examples and tips on what to watch out for.