A worksheet on the following algebraic identities: Square of a Binomial Difference of Squares Cube of a Binomial The exercises require to expand and simplify algebraic expressions involving these identities and prove other identities using these identities. Very detailed solutions are included.

A worksheet on using polynomial long division to factor polynomials. In some of the exercises, students must use polynomial division to find the remaining linear factors of a polynomial, given one of its factors. In other exercises, students must find a polynomial using multiplication, given all its factors, find the highest common factor of given algebraic expressions and find missing terms in factorized expressions. Detailed solutions are included.

A worksheet on factorising algebraic expressions using the method of grouping. The first exercise is on factoring algebraic expressions by taking the highest common factor of their terms and the remaining exercises are on factoring by grouping. Detailed solutions are included.

You will download introductory notes (rules and examples) and a long worksheet on the divisibility rules for numbers 2, 3, 4, 5, 9, 10 and 25. There are 2 pages with the divisibility rules and examples and a 6 page worksheet. In the exercises, the students are required to decide whether a given number is divisible by 2, 3, 4, 5, 9, 10 and 25, find missing digits in given numbers so that they are divisible or not divisible by one or more of these numbers, answer word problems on this topic and state whether some given statements are true or false. Detailed solutions are included.

You will download introductory notes (rules and examples) and a long worksheet on the divisibility rules for numbers 2, 3, 4, 5, 9, 10 and 25. There are 2 pages with the divisibility rules and examples and a 6 page worksheet. In the exercises, the students are required to decide whether a given number is divisible by 2, 3, 4, 5, 9, 10 and 25, find missing digits in given numbers so that they are divisible or not divisible by one or more of these numbers, answer word problems on this topic and state whether some given statements are true or false. Detailed solutions are included.

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 order of operations. Detailed solutions are included. From https://mathamaniacs.com/

A worksheet on order of operations. Detailed solutions are included. From https://mathamaniacs.com/

An introductory worksheet on rearranging formulae to change the subject. Solutions are included.

A worksheet on increasing or decreasing an amount by a given percentage and working out the percentage increase or decrease given the original and final amount. Detailed solutions are included.

A worksheet on multiplying whole numbers by fractions and fractions by fractions. Solutions are included.

A worksheet on adding and subtracting fractions and mixed numbers by converting them to improper fractions. Detailed solutions are included.From https://mathamaniacs.com/

A worksheet on multiplying brackets by a term which can be a single number or variable (positive or negative) and simplifying expressions by multiplying two brackets by a variable or number and collecting like terms. Solutions are included. From https://mathamaniacs.com/

A worksheet on solving linear equations that involve one or two brackets. Detailed solutions are included. From https://mathamaniacs.com/

An introductory worksheet on factorising linear algebraic expressions by taking out the highest common factor of the terms. Detailed solutions are included.

A worksheet on solving equations involving fractions. Detailed solutions are provided.