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OSN SMA

OSN Coaching Mathematics SMA

From algebra to writing clean proofs.

Mathematics Senior High coaching builds conceptual understanding first, then trains reasoning through graded problems, from school level to the OSN selection.

Who it's for

Senior High students who want to take part in the OSN Mathematics field, whether beginners or returning participants.

Stages & test format

  1. OSN-S (School)

    January – February 2026

    Selection at each school; schools register up to 5 students per field.

  2. OSN-K (District/City)

    18–19 June 2026

    10 multiple choice + 10 short answer

    Duration: 2 hours 30 minutes

  3. OSN-P (Province)

    27–29 July 2026

    8 short answer + 4 essays

    Duration: 4 hours

  4. National Semifinal

    12 August 2026

    5 essay questions

    Duration: 4 hours

  5. National Final

    14–20 September 2026 (in person)

    Day 1: 4 essays · Day 2: 4 essays

    Duration: 4 hours per day

Official syllabus

Algebra

  • Inequalities (HM-GM-AM-QM, Cauchy-Schwarz, Jensen, etc.)
  • Basic identities & algebraic substitution
  • Sequences: patterns, induction, linear recurrences (Fibonacci, Lucas), periodicity
  • Polynomial properties & equations
  • Classic functional equations (Cauchy, Jensen, d'Alembert)
  • Function properties: injective/surjective/bijective, monotone, bounded, convex/concave

Geometry

  • Angle chasing & cyclic quadrilaterals
  • Triangles: medians, perpendicular bisectors & circumcircle, altitudes, angle bisectors & incircle/excircles, isogonal conjugates
  • Circles: power of a point, radical axis & centre, Ptolemy, Simson line

Combinatorics

  • Sum & product rules, permutations, combinations, distributions, partitions
  • Binomial & multinomial coefficients, Pascal's triangle, Chu Shih-Chieh identity
  • Probability: disjoint/independent events, conditional probability, Bayes' rule
  • Set theory & De Morgan's laws

Number Theory

  • Divisibility, GCD, LCM, primes, simple Diophantine equations
  • Modular congruences; Wilson, Fermat, and Euler theorems
  • Order & primitive roots
  • Congruence equations, Chinese remainder theorem, quadratic residues

Assessment

  • Weekly practice with explanations

  • Short quizzes per topic

  • Official-style selection simulations

Source: 2026 OSN Guidelines for Senior High (Pusat Prestasi Nasional). Dates may change, always check official Puspresnas announcements.

FAQ OSN Mathematics SMA

01What does OSN Mathematics SMA cover?

Algebra: Inequalities (HM-GM-AM-QM, Cauchy-Schwarz, Jensen, etc.); Basic identities & algebraic substitution; Sequences: patterns, induction, linear recurrences (Fibonacci, Lucas), periodicity; Polynomial properties & equations; Classic functional equations (Cauchy, Jensen, d'Alembert); Function properties: injective/surjective/bijective, monotone, bounded, convex/concave. Geometry: Angle chasing & cyclic quadrilaterals; Triangles: medians, perpendicular bisectors & circumcircle, altitudes, angle bisectors & incircle/excircles, isogonal conjugates; Circles: power of a point, radical axis & centre, Ptolemy, Simson line. Combinatorics: Sum & product rules, permutations, combinations, distributions, partitions; Binomial & multinomial coefficients, Pascal's triangle, Chu Shih-Chieh identity; Probability: disjoint/independent events, conditional probability, Bayes' rule; Set theory & De Morgan's laws. Number Theory: Divisibility, GCD, LCM, primes, simple Diophantine equations; Modular congruences; Wilson, Fermat, and Euler theorems; Order & primitive roots; Congruence equations, Chinese remainder theorem, quadratic residues

02What are the OSN Mathematics SMA stages and formats?

OSN-S (School) (January – February 2026): Selection at each school; schools register up to 5 students per field.. OSN-K (District/City) (18–19 June 2026): 10 multiple choice + 10 short answer, 2 hours 30 minutes. OSN-P (Province) (27–29 July 2026): 8 short answer + 4 essays, 4 hours. National Semifinal (12 August 2026): 5 essay questions, 4 hours. National Final (14–20 September 2026 (in person)): Day 1: 4 essays · Day 2: 4 essays, 4 hours per day.

03Who is OSN Mathematics SMA training for?

Senior High students who want to take part in the OSN Mathematics field, whether beginners or returning participants.

04Is there online OSN Mathematics SMA training?

Yes. OSN Mathematics SMA training at Presisi Academy runs online with live classes, graded practice, and selection simulations. In-person classes are coming soon.