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Tag: Competition Preparation
All BMO and UKMT Pathway Guide editorial articles matching this filter. Browse the full archive at News & Updates, or use the navigation to filter by stage, paper, or topic tag.
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BMO Pigeonhole Principle: Define the Boxes Before Counting the Objects
Learn why BMO pigeonhole proofs fail when students count objects before locking down the partition. A checked worked case, a deliberate misfire, and a diagnostic to fix your combinatorial proof structure. Read article
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BMO Modular Arithmetic: Choose a Modulus That Rules Out an Integer Solution
A worked guide to selecting the right modulus in BMO number theory problems: when modular arithmetic proves no integer solution exists, with checked examples, a contrasting case where the wrong modulus fails, and diagnostic steps for your next practice session. Read article
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SMC to BMO Proof Writing: Replace a Plausible Pattern With a Complete Argument
Transitioning from the Senior Mathematical Challenge (SMC) to the British Mathematical Olympiad (BMO) requires replacing pattern-matching intuition with rigorous, complete written arguments. This guide explains the shift in reasoning demands and provides worked teaching illustrations with checked steps. Read article