A collection of 4 worksheets on set language and notation based on the GCSE 9-1 specification. The following are included: An introductory worksheet on sets. The exercises 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. A worksheet on the union and intersection of two or more sets and the complement of a set. 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.

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

A collection of three worksheets on inequalities. The first is on linear inequalities. The second is on quadratic inequalities. The third is on solving simultaneously two linear inequalities in one variable using the real number line. Detailed solutions are included.

Eleven worksheets for Year7 students on the following topics: Adding and subtracting positive and negative numbers Adding and subtracting fractions Adding and subtracting mixed numbers Multiplying and dividing whole numbers by 10, 100 and 1000 Multiplying and dividing decimals by 10, 100 and 1000 Fraction of an amount (non-calculator) Order of operations Rounding Sequences (finding specific terms) Simplifying expressions by collecting like terms Linear equations (introduction) Detailed solutions are included.

Six worksheets on basic algebra: using algebraic notation, collecting like terms and expanding brackets. Solutions are included.

Three worksheets on the following topics: conversions between percentages, fractions and decimals, ratios and equivalent fractions. From https://mathamaniacs.com/