A worksheet on expanding and simplifying expressions using the identities for the square of a sum or a difference of two terms, the cube of a sum or a difference of two terms and the difference of two squares. Solutions are included.

A worksheet on polynomial long division and factorisation. The exercises require to find a polynomial given its factors, to examine whether a polynomial is a factor of another polynomial, to find a factor of a polynomial given its other factor, to find the hcf of algebraic expressions and find the missing terms in expressions that have been factorised. Detailed solutions are included.

A worksheet on simplifying algebraic fractions. Detailed solutions are included.

A worksheet on factorising algebraic expressions involving trinomials (quadratics) and perfect squares. Detailed solutions are included.

A worksheet on factorising algebraic expressions involving differences of two squares or differences and sums of two cubes. Detailed solutions are included.

A worksheet on solving simultaneously two linear inequalities in one variable using the real number line. Solutions are included.

A worksheet on solving simple exponential equations that do not require the use of logarithms. Solutions are included.

A worksheet on solving linear equations. It contains one-step equations, two-step equations, equations with brackets, equations with the variable on both sides and equations with fractions. Detailed solutions are included.

A worksheet on Viete’s formulas for the sum and the product of the roots of a quadratic equation. The exercises include finding the sum and the product of the roots of given equations, finding a quadratic equation given its roots and deciding whether two given values are the roots of a specific equation. Solutions are provided.

A worksheet on solving equations of second or higher degree using factorisation and the quadratic formula. Detailed solutions are included.

A worksheet on transforming parabolas. The exercises include finding the equation of the parabola that occurs after translating the parabolas y=x^2 and y=-x^2 vertically and horizontally and writing the equations of parabolas which are translations of the parabolas y=x^2 and y=-x^2 given their graphs. Solutions are provided.

A worksheet on the discriminant of a quadratic equation. The exercises include evaluating the discriminant of given equations, determining the number of real solutions of given quadratic equations and deciding whether the discriminant of a quadratic equation is positive, negative or zero by the corresponding graph. Solutions are provided.

A worksheet on solving simple exponential equations that do not require the use of logarithms. Solutions are included.

A worksheet on solving equations involving square roots that lead to a linear or a quadratic equation after squaring. Detailed solutions are included.

A worksheet on simplifying expressions and functions by using the rules of indices for all rational exponents (including negative numbers and fractions). Detailed solutions are included. Good for A level students.

A worksheet on simplifying algebraic expressions. The exercises include expanding brackets and collecting like terms, multiplying monomials and simplifying algebraic fractions. Solutions are included.

A worksheet on multiplying and dividing whole numbers and decimals by 10 , 100 and 1000. The exercises require to fill empty boxes in calculations with the appropriate numbers. Solutions are included.

A worksheet on order of operations. It contains exercises involving brackets, powers and the four basic operations between whole numbers. Solutions are included.

A worksheet on sets, set notation (belongs to does not belong to, empty set, subset), operation with sets (union, intersection, complements) and Venn diagrams. Detailed solutions are included.

A worksheet on the graph of the parabola y=ax^2. The exercises require to match a set of graphs (of parabolas) to their equations and find the equation of a parabola given its graph and a point on it. Solutions are included.