A worksheet on mathematical induction. The exercises require to prove 10 statements using this method of proof.

A worksheet on solving simultaneous equations using the methods of substitution and elimination. The exercise require to solve simple and more complicated pairs of equations simultaneously and use simultaneous equations to solve word problems. Detailed solutions are included.

A worksheet on laws of indices with harder exercises on this topic, that require to fill the missing terms or numbers in given calculations. Solutions are included.

A worksheet on identifying the first few terms of an arithmetic sequence given the nth term formula or the first term and the common difference and finding the nth term formula of a given linear sequence. Solutions are included. From https://mathamaniacs.com/

A worksheet on simplifying expressions with surds and rationalising the denominator of a fraction. Appropriate for GCSE/IGCSE students. From https://mathamaniacs.com/

A worksheet on solving simple linear equations including the cases where there are fractions and brackets. Detailed solutions are included.

A worksheet on adding, subtracting, multiplying and dividing positive and negative numbers. Solutions are included.

A worksheet on polynomial long division and factorization. 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 factorized. Detailed solutions are included.

A worksheet on using the three basic laws of logarithms (adding logarithms with the same base, subtracting logarithms with the same base and simplifying the logarithm of a power). Detailed solutions are included. Good for A level students.

A worksheet on finding the domain or the range of a given function. Solutions are included.

A worksheet about simplifying algebraic fractions by cancelling the common factors of numerator and denominator. It involves factorisation of trinomials using perfect squares and difference of two squares. Detailed solutions are provided. Good practice for GCSE/IGCSE students.

A worksheet on graphing exponential functions by transforming the standard exponential functions e^x and e^-x. Detailed solutions are included. Good for A level students.

An introductory worksheet on equations with logarithms. Detailed solutions are included. Good for A level students.

A worksheet on solving simple exponential equations that do not require the use of logarithms. 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 equations involving square roots that lead to a linear or a quadratic equation after squaring. Detailed solutions are included.

A worksheet on solving cubic equations using the factor theorem and long division of polynomials. Detailed solutions are included.

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

A worksheet on factoring quadratics. Including quadratic expressions that can be factored by taking out the highest common factor of their terms, trinomials with leading coefficient one or greater and the special cases of perfect squares and difference of two squares. Good for GCSE/IGCSE students. Detailed solutions are provided.

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