A collection of three worksheets on the following topics: Dividing polynomials using long division Using division to factor polynomials Factorising a polynomial using the factor theorem In the first worksheet, students are required to perform long division for some given pairs of polynomials. In the second worksheet, 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. In the third worksheet, students are required to check whether a given polynomial is a factor of another polynomial by using the factor theorem and then in some other exercises they are required to factor cubic polynomials by first finding one of its linear factors (by checking given polynomials or inspecting using the factor theorem) and then using long division to find the remaining linear factors. Detailed solutions are included.

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

Five worksheets on the following topics: multiplying out brackets, factorising algebraic expressions, equations with brackets, equations with fractions and rearranging formulae. Detailed solutions are provided.

Three worksheets on the following: calculating the percentage of an amount, finding the simple interest paid for a loan and the rate of interest given the interest paid and the amount loaned, increasing or decreasing an amount by a given percentage and working out the percentage increase or decrease given the original and final amount and calculating the original value given the value after a percentage increase or decrease. Detailed solutions are included.

Three worksheets on order of operations. Detailed solutions are included.