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Exam-Style Questions.

Problems adapted from questions set for previous Mathematics exams.

1.

GCSE Higher

The following points have been plotted then joined up in order to make an irregular hexagon.

$$(-3,-1), (-2,-2), (-1,-2), (0,-1), (-1,-4), (-2,-4)$$ Irregular hexagon

Enlarge the hexagon by a scale factor of \(2\frac12 \), centre (-3,-4).


2.

GCSE Higher

Describe fully the single transformation that maps trapezium A onto trapezium B.

Two Trapezia

3.

GCSE Higher

Shape ABCD is a trapezium. It is an enlargement of the smaller blue trapezium with a negative scale factor, \(k\).

The parallel sides of the blue trapezium are of lengths\(x\) and \(2x\). The perpendicular distance between them is \(x\).

Find an expression in terms of \(x\) and \(k\) for the area of the visible yellow region.

Trapezia

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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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