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Exam-Style Questions on Algebra Proof

Problems on Algebra Proof adapted from questions set in previous Mathematics exams.

1.

GCSE Higher

One is added to the product of two consecutive positive even numbers. Show that the result is a square number.


2.

GCSE Higher

Betsy thinks that \((3x)^2\) is always greater than or equal to \(3x\).

Is she is correct?

Show your working to justify your decision


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The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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