TMUA Style, Advanced (Paper 1)

TMUA Style Questions · Mathematical Knowledge · Advanced

This free ExamAlly page is a full TMUA Style practice question for students preparing for the TMUA (Test of Mathematics for University Admission). It mirrors the multi-topic style of the real exam: you choose a method, work through every option, and review a step-by-step solution—no account required.

Independent practice material, not affiliated with official TMUA organisers.

A rectangle is inscribed in the semicircle $x^2+y^2=25$ with diameter on the $x$ -axis, so that its base lies on the diameter and its upper vertices lie on the semicircle.What is the maximum possible area of the rectangle?

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