A collection of three worksheets. Two worksheets on expanding perfect squares and evaluating expressions involving differences of two squares and one worksheet on these identities plus the identity for perfect cubes. Solutions are included.

A collection of three worksheets on the following topics: Factorising algebraic expressions involving trinomials (quadratics) and perfect squares. Solving equations of second or higher degree using factorisation and the quadratic formula. Simplifying algebraic fractions. Detailed solutions are included.

A collection of three worksheets on the following topics: 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. Factorising algebraic expressions for cases where there is a common factor or the method of grouping can be used. Factorising algebraic expressions involving differences of two squares or differences and sums of two cubes. Detailed solutions are included.

A collection of three worksheets. Two worksheets on determining whether two lines are parallel, intersect or coincide and examining if they are perpendicular and one worksheet on determining whether two given circles intersect each other at two points, touch each other externally, touch each other internally, lie outside each other or the one lies inside the other, by considering the distance of their centres. Detailed solutions are included.

Three worksheets on the following topics: Triangle inequalities: 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 Congruent Triangles: deciding whether a given pair of triangles are congruent Congruent right-angled triangles: deciding whether a given pair of right-angled triangles are congruent Detailed solutions are included.