A worksheet on solving linear equations involving various cases such as: linear equations with brackets, linear equations with double brackets, linear equations with fractions and linear equations with the variable on both sides. Detailed solutions are included.

A worksheet involving questions on various topics from the GCSE/IGCSE syllabus. It consists of six pages of questions and detailed solutions are included.

A worksheet on generating a sequence given its nth term and finding the nth term given the first few terms of a sequence. Detailed solutions are provided.

A worksheet on comparing fractions by putting them over the same denominator. Solutions are included.

A worksheet on solving simple and harder quadratic equations using factorisation. Detailed solutions are included.

A worksheet on simplifying algebraic expressions by collecting like terms and using index form. Solutions are included.

A worksheet on calculating the unit cost and comparing different deals using unit cost. Solutions are included.

A worksheet on multiplying fractions by mixed numbers and mixed numbers by mixed numbers. Detailed solutions are included.

A worksheet on factorising algebraic expressions containing variables raised to a power. Solutions are included.

A worksheet on adding, subtracting, multiplying and dividing fractions and mixed numbers. Detailed solutions are included.

A worksheet on expressing integers as a product of their prime factors using repeated division. Detailed solutions are provided.

A worksheet on expanding the product of two brackets. Detailed solutions are included.

A worksheet on expanding single and double brackets and factorising algebraic expressions. Detailed solutions are included.

A worksheet on adding, subtracting, multiplying and dividing fractions and mixed numbers. Detailed solutions are included.

A worksheet on multiplying numbers by 25 and 15 and dividing numbers by 25, 20 and 16 mentally. Detailed solutions are included.

A worksheet on the following basic properties of logarithms: log_a 1=0 log_a a=1 log_a a^x=x a^{log_a x}=x The exercises require the use of these properties to evaluate expressions without the use of a calculator. Detailed solutions are included.

A worksheet on arithmetic sequences. The exercises require to find specific terms of an arithmetic sequence given a_1 and d or its first few terms, find the first few terms of an arithmetic sequences or d or specific terms given 2 of its terms (by solving a system of simultaneous equations), show that 3 numbers are successive terms of an arithmetic sequence and solve other (more advanced) problems on this topic. Detailed solutions are included.

A worksheet on changing the base of logarithms. Detailed solutions are included. Good for A level students.

A worksheet on finding the domain or the range of a given function (including the cases of polynomial functions, rational functions and functions with square roots). Detailed solutions are included.

An introductory worksheet on functions. The exercises require to state whether a given mapping diagram represents a function or not, to determine the domain and range of functions given the corresponding mapping diagrams, to evaluate functions at specific values and to use functions to model real life problems. Detailed solutions are provided.