Ideal starter for KS3, although could be used for younger or older as differentiation available.
The general concept has been derived from a function machine. You start with 9 input numbers which need to go through two operations, subsequently creating an output. The operation for this specific function machine involves four operations, and negative numbers. So you start with 6 and then ‘x6 +2’. There are a total of four operation pairs, so there up to 36 answers students need to find. Working alongside this is a more challenging sheet, which involves the students using the ‘output’ numbers first to work out the ‘input’ numbers, and hence understanding the importance of working backwards through the operations. Most importantly, both the basic style worksheet and the challenging worksheet work in conjunction with each other, such that they both link to the same solutions, which are provided.
Has been used many times successfully within classrooms for year 7s, 8s, and year 9s.
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For a bundle of 4 of these resources on four operations, fractions, percentages and standard form see https://www.tes.com/teaching-resource/last-minute-starter-differentiated-worksheets-number-pc-fractions-and-more-solutions-11692992