📅 Last Reviewed: July 2026 · ✍️ By: PSLE Hero Editorial Team
Singapore hosts some of the most rigorous primary-level mathematics competitions in the world. This guide compares the five key competitions available to primary school students — from the highly selective elite olympiads to accessible entry-level contests — so parents can make an informed, fact-based decision about where their child is best placed to start or to stretch.
⚠️ Important note for parents: Registration for most Singapore math competitions is handled exclusively through school teachers — not by parents directly. Always confirm current registration deadlines, fees and eligibility with your child's form or mathematics teacher, and verify details on each organiser's official website before making any decisions.
⚡ Quick answer — which competition for my child?
P1–P3: SASMO (open entry, most accessible). P4: Mathlympics or SASMO. P5: NMOS (school nomination) or SASMO. P6: SMOPS/APMOPS (school nomination, highest primary-level challenge).
Singapore's primary math competition scene divides into two tiers. The three most selective competitions — RMO, NMOS and SMOPS/APMOPS — are run by the country's leading Integrated Programme (IP) schools and serve partly as talent-identification exercises. The two more accessible competitions — Mathlympics and SASMO — are well suited to students building confidence or entering their first competition.
| Competition | Organiser | Primary Level | Tier | Registration |
|---|---|---|---|---|
| RMO | Raffles Institution | P4 – P6 | Elite | School only |
| NMOS | NUS High School & Singapore Mathematical Society | P5 and below | Elite | School only |
| SMOPS / APMOPS | Hwa Chong Institution | P6 | Elite | School only |
| Mathlympics | Learners' Connections & Marshall Cavendish Education | P4 – P5 | Gateway | School only |
| SASMO | SASMO Committee | P1 – Secondary 4 | Gateway | Open / School |
These three competitions are the most academically selective at primary level in Singapore. They require strong foundational heuristic knowledge and are run primarily to identify mathematical talent. All three require school-based registration — parents cannot register children independently.
The RMO (previously called RIPMWC — Raffles Institution Primary Mathematics World Contest, renamed in 2024) has two categories. The Junior Category is for Primary 4 and 5 students; the Open Category is for Primary 6 students.
📌 Parent tip: The Round 2 cutoff is extremely high. Many parents find RMO useful as a benchmark for P4–P5 students even when Round 2 is not yet within reach. Verify current rules and registration timelines on the official RMO page at ri.edu.sg.
NMOS is the premier national benchmark competition for Primary 5 students. It is open to all primary school students who have not yet enrolled in Primary 6 (i.e. P5 and below). The 2026 competition was held on 14 July. Registration ran through schools between February and March 2026 at a fee of $25 including GST.
📌 Parent tip: Read the full NMOS 2026 guide for the official format, original sample questions with worked solutions and the full results timeline. Always verify current registration details on the official NMOS page at nushigh.edu.sg.
SMOPS (Singapore Mathematical Olympiad for Primary Schools) is the preliminary round of this two-stage competition. It targets Primary 6 students and is widely regarded as the most challenging P6-level math competition in Singapore. Note: APMOPS Round 1 is also open to Singapore P5 students as an early-entry pathway.
📌 Parent tip: Because SMOPS is targeted at P6 students, competition preparation must be balanced carefully against PSLE revision later in the year. Families considering it for DSA purposes should check current criteria with their target secondary school well in advance of the DSA application window.
These two competitions are open to a wider range of students and serve as excellent first experiences with math competition culture. They build problem-solving confidence and creative thinking — which are valuable regardless of whether a student later attempts the elite three.
Mathlympics is geared towards promoting logical thinking and practical mathematical reasoning. It is generally more approachable in difficulty than NMOS or RMO, making it a good first competition experience for P4 and P5 students. Registration fee: $25 (school entry) or $80 (private entry).
SASMO is one of the most popular starting points for students entering math competition for the first time. Unlike the elite three, SASMO accepts open-entry registrations, meaning parents can register their child directly without going through a school teacher — though school-based registration is also available. Registration fee: approximately $30 including GST.
This table summarises the most important facts for parents deciding which competition best fits their child's current level and goals.
| Competition | Organiser | Level | Format (summary) | Fee | Key feature |
|---|---|---|---|---|---|
| RMO | Raffles Institution | P4–P6 (Junior & Open) | Round 1: online MCQ at school. Round 2: written at RI campus (top 2–3% only) | Free | Most selective primary competition; brutal Round 2 cutoff |
| NMOS | NUS High School & Singapore Mathematical Society | P5 and below | Preliminary Round (1.5h, 35 Qs) → Special Round for top scorers | $25 | Premier P5 national benchmark; top 20 shortlisted for IMSO squad |
| SMOPS / APMOPS | Hwa Chong Institution | P5–P6 | SMOPS preliminary → APMOPS international invitational for top performers | $20 (P5) / school-invoiced (P6) | Top P6 competition; only primary international pathway; open to P5 |
| Mathlympics | Learners' Connections & Marshall Cavendish Education | P4–P5 | Vault (28 open-ended, 1.5h) + Sprint (30 speed Qs, 0.5h) | $25 (school) / $80 (private) | Approachable; recommended stepping-stone before NMOS |
| SASMO | SASMO Committee / SIMCC | P1–Secondary 4 | 15 MCQ + 10 short answer; 90 min; open entry | ~$30 | Most accessible entry point; high achievers progress to SIMOC |
Mark these dates early. Most competitions require registration 2–3 months before the competition date, and all school-based registrations close before parents typically start thinking about it.
| Competition | Registration opens | Registration closes | Competition date(s) | Results |
|---|---|---|---|---|
| RMO | ~February | ~March | Round 1: ~April · Round 2: ~May | ~May (Round 2 invitees) |
| NMOS | February | March | Preliminary: ~July · Special Round: ~July (top scorers) | Within 10 working days via school |
| APMOPS (P5 & P6) | 1 Feb (P5) · 1 Feb (P6) | 15 Feb (P5) · 28 Feb (P6) | Round 1: 16 Apr (P6) / 18 Apr (P5) · Invitation: 30 May | ~1 May (Round 1) |
| Mathlympics | January (school) · February (private) | May | ~July | ~August (awards ceremony) |
| SASMO | ~January | ~March | ~March–April | ~June |
📌 Parent tip: Schools decide whether to participate and nominate students internally. Ask your child's mathematics teacher by January each year whether the school is registering for NMOS, RMO or SMOPS. Do not wait for an announcement — by then, registration may already be closed.
SMO is a secondary and junior college competition, not a primary one. Organised by the Singapore Mathematical Society, it splits into Junior, Senior and Open sections for secondary and JC students. SMO is widely considered the most prestigious mathematics competition in Singapore and serves as the main pathway to the national training squad for the International Mathematical Olympiad (IMO). It is worth knowing about as a long-term aspiration, but primary school students are not eligible.
📋 A practical note on DSA: A strong result in any of the elite three competitions may be relevant to secondary school Direct School Admission (DSA) applications, particularly for mathematics talent areas. However, DSA criteria vary by school and are reviewed annually. Always verify directly with your target secondary school's admissions team — do not assume a competition result guarantees an offer.
Math olympiad preparation and PSLE Mathematics are different in scope and intent. PSLE tests the MOE Primary Mathematics syllabus; olympiad competitions test creative problem-solving, pattern recognition and advanced heuristic reasoning that go beyond the school curriculum.
Olympiad practice can build useful habits — careful reading of constraints, working step-by-step, thinking laterally — that help with challenging PSLE problem sums. However, olympiad preparation alone is not a substitute for mastering the MOE syllabus, and not every student who excels at PSLE needs to pursue competitions. The two goals are complementary but distinct.
💡 Balance is key. If your child enjoys math competition and school Maths performance remains strong, competition preparation can deepen their mathematical thinking. If school fundamentals are not yet secure, focus on those first. A good grounding in PSLE Maths heuristics is a sensible foundation before attempting olympiad-level problems.
Q: Can I register my child for NMOS or RMO directly as a parent?
No. Both NMOS and RMO require registration to go through the student's primary school teacher. Parents cannot submit registrations independently. Ask your child's mathematics or form teacher about whether the school is participating and what the internal nomination process looks like. SASMO is the only competition that accepts direct parent registration.
Q: How much do math competitions cost?
Fees vary: RMO is free. NMOS is $25 (inclusive of GST). APMOPS is $20 for P5 students (paid during registration); P6 students are invoiced through their school. Mathlympics is $25 through school or $80 for private entry. SASMO is approximately $30. All fees are non-refundable.
Q: What is the best competition for a P4 student to start with?
Mathlympics (P4–P5, $25 via school) or SASMO (from P1 upwards, ~$30, open entry) are the most appropriate starting points for P4 students. RMO also has a Junior Category for P4 students, but it is significantly more demanding. A P4 student who consistently excels at school Maths and enjoys challenging problems may be ready for RMO Junior; otherwise, Mathlympics or SASMO is a better first step.
Q: Does a Gold in NMOS or SMOPS help with DSA?
A strong result in a recognised competition may be noted by some secondary schools during the DSA exercise for mathematics talent areas. However, DSA criteria are set by individual schools and reviewed annually. A competition result is not a guaranteed offer — families must check the current DSA criteria for each target school directly before applying.
Q: What is APMOPS and how is it different from SMOPS?
SMOPS (Singapore Mathematical Olympiad for Primary Schools) is the Singapore preliminary round, run by Hwa Chong Institution and open to P6 students through school registration. APMOPS (Asia-Pacific Mathematical Olympiad for Primary Schools) is the invitational international round. Only top SMOPS performers receive an invitation. They are two stages of the same competition pathway, not separate events.
Q: Is there a primary math competition that parents can register for directly, without going through a school?
Yes — SASMO accepts open-entry registrations, meaning parents can register their child directly. All other competitions listed here (RMO, NMOS, SMOPS, Mathlympics) require registration through the student's school teacher. Verify the current registration process on each organiser's official website before the deadline.
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