Exam-Style Question on Functions
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 146. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.
(a) A function is represented by the following function machine.
A number is input into the machine and the output is used as a new input.
If the second output is 53 work out the number that was the first input.
(b) A number is input into the machine and the output produced is the same number. Work out what this number could have been.
(c) Another function machine is shown below.
If the Input is 2, the Output is 7.
If the Input is 6, the Output is 27.
Use this information to fill in the two boxes.
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