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, 2026

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

For what value of $x$ does $1 + \dfrac{16}{1+\dfrac{1}{1+\dfrac{1}{x}}} = 11$ ?

(A) $\dfrac{1}{2}$ (B) $\dfrac{3}{5}$ (C) $\dfrac{2}{3}$ (D) $\dfrac{3}{2}$ (E) $\dfrac{5}{3}$

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.