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UKMT Junior Mathematical Challenge, 2025

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

$P$ , $Q$ , $R$ and $S$ are four points in that order on a straight line; $PR = 6\text{ cm}$ , $QS = 4\text{ cm}$ and $R$ is $1\text{ cm}$ nearer to $S$ than it is to $Q$ . What is the length of $PS$ ?

(A) $7\text{ cm}$ (B) $7.5\text{ cm}$ (C) $8\text{ cm}$ (D) $8.5\text{ cm}$ (E) $9\text{ cm}$

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