It covers topics like Number Theory, Combinatorics, Advanced Geometry, and Graph Theory with rigorous proofs and exam-level practice questions.
Inequalities, sequences, series, and complex polynomials.
| Resource Type | Examples | Legitimate PDF Available? | Cost | |---------------|----------|--------------------------|------| | Official past papers (SMO, NMOS, SASMO, APMOPS, RMO) | SMO 2012 problems & solutions | ✅ Yes, on organiser websites | Free | | NLB digital publications | SMO 2001‑2002, 1999‑2000 secondary school Olympiads | ✅ Yes, via NLB OverDrive | Free (with library membership) | | MOE school library e‑books | A First Step to Mathematical Olympiad Problems | ✅ Yes (through school login) | Free for enrolled students | | World Scientific official e‑books | Lecture Notes on Mathematical Olympiad Courses (Xu Jiagu) | ✅ Yes (paid e‑book via World Scientific, Perlego, VitalSource) | Paid (approx. SGD 30–50 per volume) | | Commercial textbooks (no official PDF) | SAP Maths Olympiad, Maths Olympiad Competition Manual | ❌ No | Free only through library borrowing or purchase | | Community forums & problem databases | AoPS, Brilliant (free tier) | ✅ Yes | Free |
. It moves beyond the standard school syllabus to introduce concepts from modern mathematics. MTG Olympiad Prep Guides singapore math olympiad books pdf
is specifically designed for students in Singapore and is widely used internationally. It classifies non-routine problems into clearly defined categories to help students build confidence in tackling unconventional questions. Junior 1 & 2 : Aimed at ages 7–8 (Primary 1–2). Beginner to Intermediate : Covers Primary 3 through Primary 6. Lecture Notes on Mathematical Olympiad Courses : Written by
. If you are looking for PDF resources or workbooks to prepare for these competitions, there are several authoritative series and platforms available. WordPress.com Highly Recommended Book Series Maths Olympiad (Unleash The Maths Olympian In You!) : This popular series by Terry Chew
: A popular series for Primary levels that focuses on non-technical pattern-finding and higher-order thinking. : For Primary 3 & 4 (ages 9–10). Intermediate/Advanced : Higher primary levels. It covers topics like Number Theory, Combinatorics, Advanced
Use a PDF editor (like Xodo or Kami) to write your own lemmas in the margins. If the book offers a 5-line solution, try to expand it into a 15-line explanation. This mimics the "show your working" requirement of the actual SMO.
Singapore Math Olympiad problems are world-renowned for their unique structure. Unlike traditional math tests that rely heavily on rote memorization, these competitions focus on:
Publishers like Singapore Asia Publishers (SAP) and World Scientific frequently offer free, downloadable PDF sample chapters or e-book previews. These samples are excellent for evaluating whether the book's difficulty level matches the student's current proficiency before purchasing the full physical copy. Utilize Open Educational Resources (OER) MTG Olympiad Prep Guides is specifically designed for
Permutations, combinations, counting principles, logic puzzles Making a systematic list, tree diagrams
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