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Exam-Style Questions on Quadratic Equation

Problems on Quadratic Equation adapted from questions set in previous Mathematics exams.

1.

GCSE Higher

The volume of the larger red cube is 386cm3 greater than the volume of the smaller blue cube.

The lengths of the edges of the blue cube can be expressed as \(x\) cm.

The lengths of the edges of the red cube can be expressed as \(x+2\) cm.

(a) Show that \( x^2 + 2x - 63 = 0 \).

(b) Find the volume of the blue cube.


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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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