Past Papers/Junior Mathematical Olympiad/JMO Geometry Proofs

Practice Collection

JMO Geometry Proofs

Angle chasing, polygons, circles, and diagram-based proofs typical of JMO Section B.

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13 problemsDiagram and angle proofs
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This collection is designed to feel like a focused training run, not a catalogue. Begin at the first problem and work through in order, or dip into the list below if you want to target a specific past-paper question.
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Best for: geometry · angles · proofs

Problems in this collection

Each problem keeps the collection context, so next and previous navigation stays inside this training set.

Problem 13 · Junior Mathematical Olympiad 2005

First problem in this session

Start session

Problem 12 · Junior Mathematical Olympiad 2008

Position 2 in this session

Open problem

Problem 12 · Junior Mathematical Olympiad 2009

Position 3 in this session

Open problem

Problem 11 · Junior Mathematical Olympiad 2014

Position 4 in this session

Open problem

Problem 12 · Junior Mathematical Olympiad 2015

Position 5 in this session

Open problem

Problem 14 · Junior Mathematical Olympiad 2015

Position 6 in this session

Open problem

Problem 12 · Junior Mathematical Olympiad 2016

Position 7 in this session

Open problem

Problem 13 · Junior Mathematical Olympiad 2017

Position 8 in this session

Open problem

Problem 12 · Junior Mathematical Olympiad 2018

Position 9 in this session

Open problem

Problem 13 · Junior Mathematical Olympiad 2021

Position 10 in this session

Open problem

Problem 14 · Junior Mathematical Olympiad 2023

Position 11 in this session

Open problem

Problem 15 · Junior Mathematical Olympiad 2024

Position 12 in this session

Open problem

Problem 3 · Junior Mathematical Olympiad 2025

Position 13 in this session

Open problem