Common Mistakes in the Singapore Mathematical Olympiad (SMO)
Many students lose marks not from a lack of knowledge, but from recurring errors in reasoning and presentation. Avoiding these common pitfalls can significantly improve your score.
Errors in Problem-Solving and Proofs
- Making unchecked assumptions in geometry. State every geometric property you use and be prepared to prove it from the given information.
- Writing an incomplete proof for Round 2. Ensure your proof covers all possible cases and logically connects every step without gaps.
- Ignoring constraints on variables (e.g., integers, positive numbers). Always note the domain of variables at the start and check if your final solution satisfies it.
- Relying on a calculator or measurement from a diagram. Solve problems using logical deduction and algebraic manipulation; calculators are not permitted.
- Giving a single example as a proof. A proof must be general; use arguments that hold for all valid cases, not just a specific one.
- Mismanaging time on a single hard problem. Allocate a reasonable time for each problem and move on if you are stuck; return later if time permits.