A collection of three worksheets on factorising polynomials including the following cases: Common Factor and Grouping Difference of two squares - Difference and sum of two cubes Trinomial-Perfect squares Detailed solutions are included.

Three worksheet introducing the students to addition, subtraction, multiplication and division of positive and negative numbers (integers, fractions and decimals) and the order of operations in calculations with such numbers. The exercises require to perform calculations with two or more terms and one or more operations (using the order of operations when appropriate) and find missing terms in given calculations. Solutions are included.

Three worksheets on simplifying expressions with indices. A practice on laws of indices, negative and fractional indices. Good for GCSE/IGCSE students. One of the worksheets contains harder questions on this topic. Detailed solutions are included.

Three worksheets on factorising algebraic expressions by grouping. Detailed solutions are included.

Three worksheets on functions. The exercises are on determining whether a given mapping diagram represents a function or not and in the case of a function stating its domain and range and evaluating functions at a given value. Solutions are provided.

Three worksheets on solving linear and quadratic equations by cross multiplication. Detailed solutions are included.

Three worksheets on factorising polynomials with detailed solutions. The expressions can be factorised by taking out the greatest common monomial factor or by using the rules for trinomials, perfect squares and the difference of two squares.