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Talent Certifications Regional Olympiads (India) Mathematics

RMO

Regional Mathematical Olympiad

HBCSE-TIFR on behalf of the National Board for Higher Mathematics (NBHM), Department of Atomic Energy, Government of India
Subjective written test: six proof-type problems, 3 hours.
Annual (a new selection cycle is announced each year)

Official website ↗

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About This Exam

Talent Certifications Regional Olympiads (India)
Conducted byHBCSE-TIFR on behalf of the National Board for Higher Mathematics (NBHM), Department of Atomic Energy, Government of India
Exam typeSubjective written test: six proof-type problems, 3 hours.Source: Brochure Mathematical Olympiad 2026-27, pp. 8, 11
FieldMathematics
Who can applyIOQM qualifiers, chosen region by region in two categories: students of Classes 8-11 and students of Class 12.
Age / classClass 8-12 (same as IOQM)
How oftenAnnual (a new selection cycle is announced each year)
StagesStage 1: IOQM. Stage 2: RMO. Stage 3: INMO. Stage 4a: International Mathematical Olympiad Training Camp (IMOTC); 4b: European Girls' Mathematical Olympiad Training Camp. Stage 5A: IMO; 5B: EGMO.Source: Brochure Mathematical Olympiad 2026-27, pp. 5, 8, 9, 12, 14, 15
What it leads toTop performers in each region and category qualify for the Indian National Mathematical Olympiad (INMO); regional INMO training camps then prepare them.
Talent categoryOlympiads
PathwayIOQM > RMO > INMO > IMOTC > IMO
RecognitionGovernment
LevelNational
AchievementCertificate for students who clear RMO and qualify for INMO (as stated in the HBCSE FAQ).

Exam pattern

Stage 2 of the Mathematical Olympiad programme: a three hour subjective type written test with six problems, each question worth 17 marks (102 marks in all); each question requires writing a detailed proof; offline, pen and paper, descriptive.

Read from: Brochure Mathematical Olympiad 2026-27, p. 8 (Stage 2) and p. 11 (table)

Syllabus

Algebra1 topic group
Algebra

Inequalities, Progressions (A.P, G.P, H.P), Theory of indices, System of linear equations, Theory of equations, Binomial theorem and properties of binomial coefficients, Complex Numbers, Polynomials in one and two variables, Functional equations, Sequences

Read from: Syllabus - Olympiads (HBCSE), 'Mathematical Olympiad' tab, section 'Algebra'
Plane Geometry1 topic group
Plane Geometry

Triangles, quadrilaterals, circles and their properties; standard Euclidean constructions; concurrency and collinearity (Theorems of Ceva and Menelaus); basic trigonometric identities, compound angles, multiple and submultiple angles, general solutions, sine rule, cosine rule, properties of triangles and polygons, Coordinate Geometry (straight line, circle, conics,3-D geometry), vectors

Read from: Syllabus - Olympiads (HBCSE), 'Mathematical Olympiad' tab, section 'Plane Geometry'
Combinatorics1 topic group
Combinatorics

Basic enumeration, pigeonhole principle and its applications, recursion, elementary graph theory

Read from: Syllabus - Olympiads (HBCSE), 'Mathematical Olympiad' tab, section 'Combinatorics'
Number Theory1 topic group
Number Theory

Divisibility theory in the Integers (The Division Algorithm, the Greatest Common Divisor, The Euclidean Algorithm, The Diophantine Equation ax + by = c), Fundamental Theorem of Arithmetic, Basic properties of congruence, Linear congruences, Chinese Remainder Theorem, Fermat’s Little Theorem, Wilson’s Theorem, Euler’s Phi function and Euler’s generalisation of Fermat’s Theorem, Pythagorean triples (definition and properties), Diophantine equations

Read from: Syllabus - Olympiads (HBCSE), 'Mathematical Olympiad' tab, section 'Number Theory'

Official links and how they were checked

  • Olympiads - Homi Bhabha Centre for Science Education Verified against the document
    Official website · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2026 · checked 5 Oct 2026
    Opened https://olympiads.hbcse.tifr.res.in/ on 2026-10-05; it is the Olympiads site of HBCSE (TIFR) and links the Syllabus, Olympiad Books, Information Brochures, Stages and Past papers pages and the 2026-2027 Mathematical and Science Olympiad pages.
  • Syllabus - Olympiads (HBCSE) Verified against the document
    Syllabus · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2026 · checked 5 Oct 2026
    Opened https://olympiads.hbcse.tifr.res.in/how-to-prepare/syllabus/ on 2026-10-05 and read its text. The page carries the 'Syllabus for National Standard Examination and Indian National Olympiad in Physics, Chemistry, Biology, Astronomy and Junior Science' (tabs Biology, Chemistry, Physics, Astronomy, Junior Science) and a 'Mathematical Olympiad' tab. Every topic list in this file was cut from that page text and compared back with it (lower-case letters and digits only, ignoring spacing): every unit title and every topic phrase occurs in the page text. Not compared: the page as rendered (images); the lists of recommended books on the Mathematical tab are not syllabus and are not copied.
  • Brochure Mathematical Olympiad 2026-27 Verified against the document
    Exam scheme / pattern · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2026 · checked 5 Oct 2026
    Downloaded the 35-page PDF linked from https://olympiads.hbcse.tifr.res.in/mathematical-olympiad-2026-2027/ on 2026-10-05 and read its text layer. It describes Stage 1 IOQM (p. 5), Stage 2 RMO (p. 8), Stage 3 INMO (p. 9), the stage table with number of questions, marks and duration (pp. 11-12), Stage 4 a) IMOTC and 4 b) EGMOTC (p. 12), Stage 5 A IMO (p. 14) and 5 B EGMO (p. 15), and prints the 'Syllabus for Mathematical Olympiad' (p. 15). Statements recorded in this file were each checked against those pages. Dates, venues, quotas, prizes and fees are not copied.
  • RMO 2023-24 - Question paper (KV and JNV) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2023-24 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO23-24 KV & JNV Question Paper' for 2023-24. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2023-24 - Question paper (Non-KV and Non-JNV) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2023-24 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO2023-24-Non KV & Non JNV Question Paper' for 2023-24. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2023-24 - Answer key (KV and JNV) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2023-24 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'KV & JNV – Answer Key' for 2023-24. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2023-24 - Answer key (Non-KV and Non-JNV) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2023-24 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Non – KV & Non JNV – Answer Key' for 2023-24. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2025 - Question paper (English, Non-KV and Non-JNV) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2025 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'English' for 2025. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2025 - Question paper (English, KV and JNV) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2025 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'English' for 2025. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2025 - Question paper (Hindi, Non-KV and Non-JNV) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2025 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Hindi' for 2025. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2025 - Question paper (Hindi, KV and JNV) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2025 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Hindi' for 2025. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2025 - Solutions (KV and JNV) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2025 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'KV-NVS RMO 2025 Solutions' for 2025. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2025 - Solutions (Non-KV and Non-JNV) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2025 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2025 Solutions' for 2025. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2024 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2024 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO2024 Problem with Solutions' for 2024. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2019 - Question paper Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2019 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO Question Paper 2019' for 2019. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2019 - Answer key Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2019 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Answer Key to RMO 2019' for 2019. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2018 - Answer key (Kerala and Tamil Nadu regions (October 28, 2018)) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2018 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Answer Key for RMO 2018 (KL-TN)' for 2018. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2018 - Answer key (held October 7, 2018) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2018 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Answer Key to RMO 2018' for 2018. Reachability checked on 2026-10-06: HTTP 206, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2017 - Question paper Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2017 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2017' for 2017. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2017 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2017 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2017. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2016 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2016 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2016. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2016 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2016 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2016. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2016 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2016 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2016. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2016 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2016 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2016. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2016 - Question paper (Paper 1) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2016 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2016 Paper 1' for 2016. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2016 - Question paper (Paper 2) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2016 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2016 Paper 2' for 2016. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2016 - Question paper (Paper 3) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2016 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2016 Paper 3' for 2016. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2016 - Question paper (Paper 4) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2016 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2016 Paper 4' for 2016. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2015 - Question paper (Paper 2) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2015 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2015 Paper 2' for 2015. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2015 - Question paper (Paper 3) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2015 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2015 Paper 3' for 2015. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2015 - Question paper (Paper 4) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2015 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2015 Paper 4' for 2015. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2015 - Question paper (Mumbai region) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2015 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO Paper 2015 (Mumbai region)' for 2015. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2015 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2015 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2015. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2015 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2015 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2015. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2015 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2015 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2015. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2015 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2015 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2015. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2015 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2015 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2015. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2014 - Question paper (Paper 2) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2014 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2014 Paper 2' for 2014. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2014 - Question paper (Paper 3) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2014 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2014 Paper 3' for 2014. Reachability checked on 2026-10-06: HTTP 206, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2014 - Question paper (Paper 4) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2014 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2014 Paper 4' for 2014. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2014 - Question paper (Mumbai region) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2014 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2014 (Mumbai region)' for 2014. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2014 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2014 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2014. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2014 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2014 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2014. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2014 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2014 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2014. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2014 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2014 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2014. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2014 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2014 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2014. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2014 - Question paper (Paper 1) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2014 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2014 Paper 1' for 2014. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2013 - Question paper (Paper 1) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2013 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2013 Paper 1' for 2013. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2013 - Question paper (Paper 2) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2013 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2013 Paper 2' for 2013. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2013 - Question paper (Paper 3) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2013 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2013 Paper 3' for 2013. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2013 - Question paper (Paper 4) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2013 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2013 Paper 4' for 2013. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2013 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2013 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2013. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2013 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2013 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2013. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2013 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2013 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2013. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2013 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2013 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2013. Reachability checked on 2026-10-06: HTTP 206, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2013 - Question paper (Mumbai region) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2013 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2013 (Mumbai region)' for 2013. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2013 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2013 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'Solution' for 2013. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2012 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2012 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2012 Paper & Solution 1' for 2012. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2012 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2012 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2012 Paper & Solution 2' for 2012. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2012 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2012 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2012 Paper & Solution 3' for 2012. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2012 - Solutions Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2012 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'CRMO 2012 Paper & Solution 4' for 2012. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2012 - Solutions (Mumbai region) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2012 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2012 (Mumbai region) Paper & Solution' for 2012. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2011 - Paper or solutions (the page does not say which) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2011 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2011' for 2011. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2010 - Paper or solutions (the page does not say which) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2010 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2010' for 2010. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2009 - Paper or solutions (the page does not say which) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2009 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2009' for 2009. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2008 - Paper or solutions (the page does not say which) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2008 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2008' for 2008. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2007 - Paper or solutions (the page does not say which) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2007 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2007' for 2007. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2006 - Paper or solutions (the page does not say which) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2006 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2006' for 2006. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2005 - Paper or solutions (the page does not say which) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2005 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2005' for 2005. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2004 - Paper or solutions (the page does not say which) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2004 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2004' for 2004. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2002 - Paper or solutions (the page does not say which) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2002 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2002' for 2002. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • RMO 2001 - Paper or solutions (the page does not say which) Opened; part could not be confirmed
    Sample / previous-year papers · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2001 · checked 6 Oct 2026
    Listed on HBCSE's Past papers page (https://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/), Mathematics tab, as 'RMO 2001' for 2001. Reachability checked on 2026-10-06: HTTP 200, application/pdf. The file's contents were not read: this is a link to the official paper, not a copy, and nothing in it is used as a source of the syllabus.
  • Olympiad Books - Olympiads (HBCSE) Verified against the document
    Prescribed / recommended reading (published by the body) · Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research · 2026 · checked 5 Oct 2026
    Opened https://olympiads.hbcse.tifr.res.in/how-to-prepare/olympiad-books/ on 2026-10-05; it lists the books HBCSE sells or recommends for the Science and Mathematical Olympiads (INPhO, INChO, INBO, INAO problem books, experimental problem books, and the Mathematical Olympiad books). It is a book list, not a syllabus, and no chapter cites it.
IOQM→ RMO →INMO

Official website ↗

Details checked against official sources on 6 Oct 2026. Always confirm against the current official notification before applying. [1] [2] [3] [4]

Subjects and Chapters

4 subjects • 4 chapters • 49 classes
01
Algebra
1 chapter
LAPT Schools
Algebra
Regional Mathematical Olympiad
AlgebraLAPT Books · Regional Mathematical Olympiad All books of this class ›
Algebra 15 classes
Indices, surds and comparing large powers
Systems of linear equations
Inequalities: squares and the AM-GM inequality
Inequalities: Cauchy-Schwarz and rearrangement
Arithmetic progressions
Geometric progressions
Harmonic progressions and the chain of means
Sequences: recurrences and telescoping
Theory of equations: quadratics and Vieta's relations
Theory of equations: cubics and symmetric sums
Polynomials in one variable
Polynomials in two variables, identities and factoring
Binomial theorem and binomial coefficients
Complex numbers
Functional equations
02
Combinatorics
1 chapter
LAPT Schools
Combinatorics
Regional Mathematical Olympiad
CombinatoricsLAPT Books · Regional Mathematical Olympiad All books of this class ›
Combinatorics 8 classes
Basic enumeration: sum rule, product rule, arrangements and selections
Stars and bars, inclusion-exclusion and double counting
The pigeonhole principle: boxes, worst cases and sharp bounds
Pigeonhole applications: sums, geometry, friends and subsets
Recursion I: setting up a recurrence
Recursion II: solving recurrences and derangements
Elementary graph theory I: degrees, paths and connectivity
Elementary graph theory II: trees, bipartite graphs and Euler paths
03
Number Theory
1 chapter
LAPT Schools
Number Theory
Regional Mathematical Olympiad
Number TheoryLAPT Books · Regional Mathematical Olympiad All books of this class ›
Number Theory 12 classes
Divisibility and the division algorithm
The greatest common divisor and the Euclidean algorithm
The Diophantine equation ax + by = c
Primes and the Fundamental Theorem of Arithmetic
Basic properties of congruence
Linear congruences
The Chinese Remainder Theorem
Fermat's Little Theorem
Wilson's Theorem
Euler's phi function and Euler's theorem
Pythagorean triples
Diophantine equations
04
Plane Geometry
1 chapter
LAPT Schools
Plane Geometry
Regional Mathematical Olympiad
Plane GeometryLAPT Books · Regional Mathematical Olympiad All books of this class ›
Plane Geometry 14 classes
Triangles: angles, congruence, similarity and areas
Triangle centres: medians, altitudes, circles and the Euler line
Circles: tangents, chords, angles and power of a point
Quadrilaterals and cyclic quadrilaterals
Standard Euclidean constructions
Concurrency and collinearity: Ceva and Menelaus
Trigonometric identities: compound, multiple and submultiple angles
General solutions of trigonometric equations
Sine rule, cosine rule and properties of triangles
Properties of polygons: angles, diagonals and regular polygons
Coordinate geometry: straight lines and circles
Conics: parabola, ellipse and hyperbola
Coordinate geometry in three dimensions
Vectors in geometry
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