Maths Olympiad Prep

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Problem 32

Geometry Difficulty 1.0 Find the answer UKMT Junior Kangaroo · United Kingdom · 2018

Lucy has lots of identical lolly sticks. She arranges the lolly sticks end to end to make different triangles. Which number of lolly sticks could she not use to make a triangle?

(A) 77 (B) 66 (C) 55 (D) 44 (E) 33

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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, ordering) added by this project. Solutions are the publisher's, linked not copied.