## Exam-Style Question on Proof## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 220. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

State whether each of the following statements is true or false. Give reasons for your answers.

(a) When \(a^2 = 25\) the only value that \(a\) can have is 5.

(b) When \(b\) is a positive integer, the value of \(3b\) is always a factor of the value of \(12b\).

(c) When \(c\) is positive, the value of \(c^2\) is always greater than the value of \(c\).

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