KS3 KS4 Simplifying & Factorising 4-6 Term Expressions into Brackets, Challenge, Answers, Generator

This worksheet involves 24 questions, which all have either 4 or 6 terms in, which need to be simplified before factorisation into double brackets. When you factorise these expressions, we have both examples of the variable with a coefficient equal to 1, and greater than one. The first section of the worksheet is easier, as it has just 4 terms that need to be factorised, and a coefficient of the variable being 1 in both brackets. Whereas the latter section of the worksheet is more challenging, as it has 6 terms that need to be factorised, and a coefficient of the variable being greater than 1 in at least one of the factorised. There are also harder questions which are attached which involve you having to solve the quadratics, rather than just factorising. This involves setting the equations equal to zero and finding the value of the unknown for two brackets.

This worksheet is a generator, providing an infinite number of opportunites for anew worksheet. The worksheet is designed such that all 24 questions, at every click of a ‘new worksheet’ button are unique. That is 24 out of the 26 letters of the alphabet are used for a new worksheet, randomly, creating uniquenes. Furthermore, the signs of this worksheet are changed every time you generate another worksheet. Finally, the order of terms for the latter questions are varied, in order to teach students’ the importance of looking for like terms before collecting terms and simplifying, and finally factorising.