A collection of three worksheets on HCF and LCM. The exercises require to find the prime factorisation of a set of 2 or 3 numbers using repeated division and use it to evaluate their HCF and their LCF, decide whether a given pair of numbers are relatively prime (coprime), simplify fractions as much as possible by dividing their numerator and denominator by their HCF , add or subtract pairs of fractions after changing their denominator and using the LCM of the original denominators and solving word problems using the highest common factor and the lowest common multiple. Detailed solutions are included.

Three worksheets on adding and subtracting positive and negative fractions with common and different denominators. Solutions are included.

Three worksheets on multiplying fractions and mixed numbers. Detailed solutions are provided.

Three worksheets on multiplying fractions by whole numbers. Detailed solutions are provided.

Three worksheets on recurring decimals. The exercises require converting recurring decimals to fractions, comparing numbers and examining whether a given fraction can be converted to a decimal number with finitely many decimals. Detailed solutions are provided.

Three worksheets on multiplying fractions by fractions. Solutions are included.

A collection of three worksheets. Two worksheets on identifying complementary, supplementary and vertically opposite angles and using their properties to find the value of a variable. One worksheet on evaluating the third angle in a triangle given the other two using the fact that their sum is 180 degrees. Detailed solutions are included.

A collection of six worksheets with GCSE/IGCSE style questions on algebra and number topics such as simplifying algebraic expressions, factorisation, algebraic fractions, operations between fractions, hcf and lcm and surds, Detailed solutions are included.

A collection of 4 worksheets on arithmetic sequences based on the GCSE 9-1 specification. In these worksheets students are taught to understand and use common difference (d) and first term (a) in an arithmetic sequence, know and use nth term =a+(n-1)d and find the sum of the first n terms of an arithmetic series. Detailed solutions are included.

Four worksheets on converting from one metric unit of area or volume to another (square and cubic mm, cm, m and km). Solutions are included.

Three worksheets on solving linear and quadratic equations by cross multiplication. 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 the mode, median and mean of a data set. Solutions are included.

Three worksheets on quadratic factorisation of expressions where the square has coefficient other than 1. Solutions are included.

Three worksheets on adding and subtracting mixed numbers. Detailed solutions are included.

Three worksheets on Venn diagrams and set notation ( the symbols for belongs/ does not belong to, union and intersection, empty set, complement of a set, number of elements of a set). Detailed solutions are included.

Three worksheets on multiplying decimal numbers by positive and negative powers of 10. Solutions are included.

Three worksheets on sets. An introductory worksheet with exercises that require to list the elements of a described set, to describe a set given its elements and to use the symbols for belongs to and does not belong to. A worksheet on set notation: belongs to, does not belong to, union, intersection, empty set, complement of a set, number of elements of a set etc. And a worksheet on Venn diagrams and set notation ( the symbols for belongs/ does not belong to, union and intersection, empty set, complement of a set, number of elements of a set). Detailed solutions are included.

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

Four worksheets on writing fractions in their simplest form. Answers are included.