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. It starts with easy exercises requiring application of the identities and continues with more demanding exercises that require to prove new identities or evaluate the value of given expressions using the identities. Solutions are included.

A worksheet on evaluating the distance between two points and the midpoint of a line segment. It begins with easy exercises requiring application of the formulas and continues with more demanding exercises. Detailed solutions are included.

A worksheet on solving equations with algebraic fractions. Detailed solutions are provided.

A worksheet on adding and subtracting algebraic fractions. Detailed solutions are included.

A worksheet on deciding whether three numbers can represent the lengths of the sides of a triangle and determining the possible lengths of the third side of a triangle given the lengths of the other two sides. Detailed solutions are included.

A worksheet on evaluating missing angles or sides in a given right-angled triangle. Detailed solutions are included.

A worksheet on simplifying expressions with algebraic fractions and the four operations between them. Detailed solutions are included.

A worksheet on solving simultaneous equations using their graphs. Detailed solutions are included.

A worksheet on factorising expressions be extracting a common factor, by grouping, by using the quadratic formula or algebraic identities. The exercises also require to simplify algebraic fractions, composite algebraic fractions or expressions involving multiplication or division between algebraic fractions and solve quadratic equations or equations with algebraic fractions. Detailed solutions are included.

A worksheet on deciding whether a given pair of triangles are congruent. Detailed solutions are included.

An introductory worksheet on simplifying complex fractions. Detailed solutions are included.

A worksheet on performing the four operations between fractions. Solutions are included.

A worksheet on evaluating the area and the volume of a given cylinder. Solutions are included.

A worksheet on factorising quadratic expressions in which the coefficient of the leading term is one, the coefficient of x is less than zero and the constant term is greater than zero. Solutions are provided.