Singapore Mathematical Olympiad, Rounds 1 and 2

SMO-style Junior and Senior practice

A new paper every time: Junior for Secondary 1 and 2, Senior for Secondary 3 and 4. Round 1 is five questions with choices, then twenty where your child types a whole number, with every answer explained. Round 2 is five problems that need a full written proof, with a model solution to mark against.

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The pattern

SectionForPaperMarks
Junior Round 1Sec 1 and 225 questions, 2 h 30 min1 each, out of 25
Senior Round 1Sec 3 and 425 questions, 2 h 30 min1 each, out of 25
Junior Round 2Sec 1 and 25 proofs, 3 h7 each, out of 35
Senior Round 2Sec 3 and 45 proofs, 4 h7 each, out of 35

Questions 1 to 5 have five choices; for 6 to 25 your child types a whole number. Nothing is taken off for a wrong answer. No calculator. When a true answer is a fraction m/n in its lowest terms, the question asks for m + n, as the SMO does. The Society does not publish the number of questions; ours follows recent Round 1 papers. Round 2 is for the top 10% of Round 1: your child writes each proof on paper, types it in, then ticks the points it made against our model solution. The Society publishes no marks a problem; 7 each is our choice, the usual olympiad scale. Source: Singapore Mathematical Society.

Questions parents ask

What is the SMO?
The Singapore Mathematical Olympiad, run by the Singapore Mathematical Society. Junior is for Secondary 1 and 2, Senior for Secondary 3 and 4. Round 1 is held at schools in early June; in 2026 it was on 3 June. The top 10% are invited to Round 2.
What topics come up?
Many questions follow the school syllabus, then go further. Junior: algebra and identities, number theory, geometry with triangles and circles, and counting. Senior adds quadratics, logarithms, trigonometry, binomial expansions and harder number theory.
Why do some questions ask for m + n?
Round 1 answers are whole numbers. When the true answer is a fraction, the question asks your child to write it in lowest terms, m/n, and give m + n. Our papers do the same, so the habit is ready on the day.
How is Round 2 marked here?
Round 2 needs full written proofs, which a computer cannot mark fairly. After your child hands in, they see a model solution split into seven points and tick each point their own proof made. A different proof that is complete and correct earns all seven.
Is a wrong answer marked down?
No. The Society says every question carries equal weight and does not take marks off. Our papers give 1 mark a question and take nothing off, so always put an answer.
Are these real SMO papers?
No. Every question is written by Scholar Tests, in the SMO's format. We are not connected with the Singapore Mathematical Society, and nothing is copied from a past paper.
Is it free?
A free account includes 3 practice tests. The Singapore pack (S$99 for 6 months) opens unlimited tests and shows the right answer and the working for every question.

Pricing

Three free practice tests. Unlimited tests and answers are S$99.

A free account includes 3 practice tests. The pack opens unlimited tests and shows your child what they got right, the right answers and how to reach them, on every Singapore practice paper.

Singapore practice pack

S$99

for 6 months

  • Which questions your child got right, after every practice test
  • The right answer to every question
  • A worked solution for every question, step by step
  • PSLE-style Mathematics, Standard and Foundation, both papers, Science Booklets A and B, and English Papers 1 to 4: marked writing, grammar, vocabulary, editing, cloze, synthesis, comprehension, listening and oral
  • Primary 3, 4 and 5, and Secondary 1 to 4, Mathematics exam papers, with G3 (O-Level-style) E-Math and A-Math at Secondary 3 and 4, and G2 and G1 Mathematics at Secondary 4
  • AEIS-style Mathematics at every level, and English for SEC 1 to 3 with a marked composition
  • SASMO-style olympiad papers, Primary 1 to JC 2
  • RMO-style, APMOPS-style and NMOS-style primary olympiad papers
  • SMO-style Junior and Senior Round 1 papers and self-marked Round 2 proofs, Secondary 1 to 4
  • Maths Kangaroo-style competition papers, Primary 1 to Secondary 4, scored the SMKC way

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