SIMON MARAIS MATHEMATICS COMPETITION
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More Sample Problems

On this page, we will occasionally post some example problems that have appeared in other competitions or in the literature. Please keep in mind that these are examples only, and do not necessarily demonstrate the full scope of difficulty levels or topics of problems that may appear on the competition.

Older problems (with solutions) are posted progressively lower down the page.

​Problem #22
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​Problem #21
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​Problem #20
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​Problem #19
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​Problem #18
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​Problem #17
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​Problem #16
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​Problem #15
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Problem #14
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Problem #13
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Problem #12
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Problem #11
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Problem #10
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Problem #9
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​
​Problems #7 and 8
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​Problem #6 (with solution)
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​Problem #5 (with solution)
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​​
​Problem #4 (with solution)
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​Problem #3 (with solution)
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​Problem #2 (with solution)
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Problem #1 (with solution)

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​Please direct all queries or suggestions regarding the Competition to [email protected]
 ©  2025 Simon Marais Mathematics Competition Limited • ABN 57 616 553 845
​Privacy Notice
  • Home
    • Privacy Notice
  • About
    • About Us
    • Background
    • Rules
    • Key Dates & FAQs
    • Participating Universities >
      • 2025
      • 2024
    • Session Times >
      • 2025
      • 2024
  • Problems
    • Problems and Solutions >
      • 2025
      • 2024
      • 2023
      • 2022
      • 2021
      • 2020
      • 2019
      • 2018
      • 2017
    • More sample problems
  • Prizes
    • Cash
    • Internships
  • Results
    • 2024 >
      • East Division
      • West Division
      • Statistics
    • 2023 >
      • East Division
      • West Division
      • Statistics
    • 2022 >
      • East Division
      • West Division
      • Statistics
    • 2021 >
      • East Division
      • West Division
      • Statistics
    • 2020
    • 2019
    • 2018
    • 2017
  • Contact
    • Contact Us