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Exam-Style Questions on Pythagoras

Problems on Pythagoras adapted from questions set in previous exams.

1.

GCSE Higher

Four copies of a green right-angled triangle are used to enclose a yellow square.

Triangled Square

Find the area of the yellow square if the longest side of the green triangle is of length \(a\) cm and the shortest side is \(b\) cm.


2.

GCSE Higher

The gradient of the line joining the origin to the point A is \(\frac12\)

The distance between A and the origin is \(\sqrt{2205}\)

What are the coordinates of A?

Gradient

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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