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.

An introductory worksheet on the trigonometric ratios sine, cosine and tangent. The exercises require to evaluate these ratios for an angle in a given triangle, to identify the trigonometric ratio that corresponds to a given ratio for a given triangle, to use a calculator to evaluate the trigonometric ratio of a given angle or the angle given one of its trigonometric ratios and to associate the sine or cosine of an angle to the cosine or sine of its complementary angle. 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 finding terms of a sequence by spotting the pattern given the first few terms or given the general term. Detailed solutions are included.

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

A worksheet on solving equations involving brackets or fractions. Detailed solutions are included.

A worksheet on subtracting real numbers (integers, decimals, fractions and mixed numbers). Detailed solutions are included.