The Canadian Mathematical Olympiad (**CMO**) is Canada’s premier national advanced mathematics competition.

Competitors **require an invitation** from the Canadian Mathematical Society in order to participate.

The Canadian Junior Mathematical Olympiad (**CJMO**), also by invitation only, is held at the same time for students up to grade ten. The CJMO is not as challenging as the CMO, however some problems may appear in both competitions.

These 3-hour competitions are held each March at a selected time and date. All official participants write at the same time and are proctored by their local school faculty or staff.

The top students at the CMO can readily expect great scholarship and recruitment offers from universities. They will also be short-listed for the selection for **Team Canada** at the International Mathematical Olympiad!

## 2024 Olympiads

This year, the CMO and the CJMO were held on Thursday, March 7th. All official participants wrote the competition simultaneously, beginning at noon, Ottawa time.

### Status Update:

**( April 9 )**Thank you to all our competitors and their proctors.

**Marking is complete and the results are released!**

## CMO 2024 Results

**CMO 2024 Champion: Warren Bei**

*Congratulations to Warren Bei who attends Rockridge Secondary School in West Vancouver, BC!*

Rank | Name | School |
---|---|---|

Gold Medal | Warren Bei | Rockridge Secondary (West Vancouver, BC) |

Silver Medal | Zhekai Shen | Shanghai Foreign Language School/SISU (Shanghai, China) |

Bronze Medal | Ming Yang | Brophy College Preparatory (Phoenix, USA) |

Honourable Mention | Ryan Bai | InGenius STEAM (San Diego, USA) |

Emily Ma | Marc Garneau Collegiate Institute (Toronto, ON) | |

Marvin Mao | Bergen County Academies (Hackensack, USA) | |

Xuezhi (Jerry) Wang | Royal St. George's College (Toronto, ON) |

*All official competitors live in Canada or are Canadian Citizens or Permanent Residents living abroad.*

### Statistics

- Top score: 34/35
- Mean score: 14.7/35
- Minimum score for the top quartile: 21/35
- Median score: 14/35
- Competitors: 91 (87 official, 4 unofficial)

### Resources

### Score Distribution

### Matthew Brennan Award for Best CMO Solution

*[read here for general information about the award]*

The Award this year goes to **Ming Yang** of Brophy College Preparatory (Phoenix, USA) for his excellent solution to problem 5.

Problem 5 is a non-standard constructive geometry problem, where you are asked to draw the orthocentre of a triangle using unusual operations. Ming’s solution was short and elegant, and created tools that are able to extend beyond the problem. Matt would have greatly enjoyed this solution!

**Congratulations, Ming Yang!**

## CJMO 2024 Results

**CJMO 2024 Champion: Ryan Li**

*Congratulations to Ryan Li who attends University of Toronto Schools in Toronto, Ontario!*

Rank | Name | School |
---|---|---|

Gold Medal | Ryan Li | University of Toronto Schools (Toronto, ON) |

Silver Medal | Leonardo Zhou | University Transition Program (Vancouver, BC) |

Honourable Mention | Matthew Kutakh | Trinity College School (Port Hope, ON) |

Isaac Lu | Thornhill Secondary School (Thornhill, ON) |

*All official competitors live in Canada or are Canadian Citizens or Permanent Residents living abroad.*

### Statistics

- Top score: 35/35
- Mean score: 18.3/35
- Minimum score for the top quartile: 27/35
- Median score: 20/35
- Competitors: 21

### Resources

### Score Distribution

## Previous Years

### CMO - Canadian Mathematical Olympiads

## How to Earn an Invitation

All students require an invitation from the Canadian Mathematical Society in order to participate. Typically 75-100 students are invited each year to write the CMO and a further 20 students are invited to write the CJMO.

Invitations are normally sent out in February.

### COMC – Canadian Open Mathematical Challenge

The primary way students to come to our attention to be considered for a CMO/CJMO invitation is by doing very well on the **Canadian Open Mathematics Challenge** (COMC) in October. We normally invite the top fifty (approx) qualifying COMC students to write the CMO.

### CMO Qualifying Repêchage

The next 75 (approx) top qualifying COMC students are invited to write the **Repêchage**. This is a “take home” week-long exercise held in February. Up to twenty students are selected from this group to write the CMO.

### CJMO Invitations

After the Repêchage is complete, we select students for the CJMO. Anyone invited to the CMO is *not* invited to the CJMO. Remaining Repêchage writers who are in grade ten or less are invited to write the CJMO (normally the maximum is twenty such students). If additional spots are available, then the best qualifying COMC students in grade ten or less, who didn’t get invited to the CMO or Repêchage, are invited.

### Alternate Competitions

By traditional arrangement, the top winners from the Alberta High School Mathematics Competition (Part II) and from le Concours de l’Association Mathématique du Québec (AMQ – secondaire) are invited to write the CMO.

Students we’ve invited to represent Canada at the European Girls’ Mathematical Olympiad (EGMO) or the Asia Pacific Mathematical Olympiad (APMO) are normally also invited.

## Preparing for the Olympiads

It is important to emphasize that any student who is invited to write the Olympiads should be aware that **success will require mathematics at a higher level than is taught in most schools**, and therefore should prepare specifically for the competition.

The CMS has several resources available for competitors. The most important resource are the publicly-available **Problem Sets and Solutions** from previous years.

## Eligibility

In order to be an official participant, all competitors:

- must be a Canadian Citizen or Permanent Resident of Canada (but not necessarily residing in Canada currently),
- must not have formally enrolled at a university or any other equivalent post-secondary institution and must not yet have graduated from high school (or equivalent),
- must be currently attending school full-time since the start of the current school year,
- must be less than 20 years old as of June 30 of the year of the Competition.

Additionally, the CJMO requires that competitors must be in grade ten or earlier.

Students who choose to write the Competition agree to allow the CMS to publish their names and schools when announcing contest results.* *

## Prizes and Awards

Official competitors compete for the right to be named the **CMO Champion** (or CJMO Champion). We also recognize the Silver, Bronze and Honourable Mention competitors as appropriate each year. Typically, this is at least six students for CMO and fewer for CJMO.

The CMO Championship Cup is a full-size trophy that permanently commemorates the Champions. There is no equivalent for the CJMO. The Cup is normally loaned to the CMO Champion’s school to display for a year

### Prize Money

Each year a pre-budgeted amount is allocated from the Canadian Mathematical Society and its members and sponsors. Normally, this prize pool is divided up to ensure the CMO Gold medalist gets CAD$2000 (unless there are ties) and Silver, Bronze, and Honourable Mentions also get prize money in decreasing amounts per person.

The CJMO is similar but with considerably smaller cash prizes.

### Matthew Brennan Award for Best CMO Solution

In 2021 the CMS and the mathematical community lost one of our most valuable members. Matthew represented Canada twice at the International Mathematical Olympiad, earning a bronze medal in 2011 and a gold medal in 2012. He returned to the IMO as deputy leader observer in 2014 and 2017, and was the leader in 2019. Matt was passionate about Olympiad math, and had served on the Canadian Mathematical Olympiad committee since 2014. He also contributed extensively to problem creation and selection.

In Matthew’s honour, the CMS has created the *Matthew Brennan Award for Best CMO Solution*. It is awarded every year to the student(s) who have written the best solution to a single problem on that year’s CMO. Their solution will be included in the official solutions, and they will receive a monetary prize.