A worksheet on factorising polynomials covering different cases: extracting a common factor, difference of two squares, perfect square and trinomials with leading coefficient 1. Detailed solutions are provided.

A worksheet on multiplying numbers in standard form (with positive and negative powers of 10). Solutions are provided.

A worksheet on evaluating a function at a given value and determining the domain of a function. Solutions are included. Good for GCSE/IGCSE students

A worksheet on rationalising the denominator of a fraction. Detailed solutions are included. Good for GCSE/IGCSE students.

A worksheet on completing the square. Detailed solutions are provided.

A worksheet on the following differentiations rules: constant function rule, power rule, addition rule, product rule, quotient rule, exponential function rule, natural logarithm function rule and chain rule. Detailed solutions are provided.

A worksheet including exercises on calculating the mean of given sets and word problems on the mean. Detailed solutions are included.

A worksheet on quadratic factorisation of expressions where the square has coefficient 1. Solutions are included.

A worksheet about converting recurring decimals to fractions. Detailed solutions are provided. Good practice for GCSE/IGCSE students.

A worksheet on quartiles and interquartile range. Detailed solutions are included.

A test on simplifying numbers. The exercises include multiplying and dividing whole numbers and decimals by powers of 10, rounding numbers( to the nearest thousand, million etc or to a given number of significant figures), writing ordinary numbers in standard form and vice versa. Detailed solutions are included.

A worksheet on ratio and proportion and percentages. The exercises require to solve given proportions (easy and harder), solve word problems involving ratios, solve word problems where an amount is divided in a given ratio, find the percentage of an amount and work with percentage increases, percentage decreases and reverse percentage. Detailed solutions are included.

A worksheet on linear equations with fractions. Detailed solutions are provided.

A worksheet on the basic properties of logarithms: product rule, division rule, power rule/exponential rule and change of base rule. Detailed solutions are included.

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

A worksheet on differentiating functions that are defined parametrically. Detailed solutions are included.

A worksheet on composing functions. It includes harder exercises on this topic where the domain of the composition has to be determined based on the domains of the two original functions. Detailed solutions are included.

A worksheet on the power reduction formulas for sin^2, cos^2 and tan^2. Detailed solutions are included.

A worksheet on proving statements using proof by contradiction. Detailed solutions are included.