Categories
Math Contests - Problems and Discussion

加拿大 数学竞赛 介绍

您听到过加拿大数学竞赛吗?对那些热爱数学,有较强逻辑思考能力,愿意挑战自己的中小学生,这真地是一个很好的舞台来展现他们的智力和才华。

Click here to read the English version of this post.

如果一个学生想要参加数学竞赛,而他/她 又在加拿大的全日制中小学校学习(公立,教会学校,或私立,都可以)那么要做的第一步是问询他所在的学校有否参赛机会。您也可以问询我们 –Jonah’s Math Corner:我们是登记过的考点之一,可以和竞赛组织者合作监考数学竞赛–具体竞赛项目和时间安排,欢迎您来咨询。

报名参赛时,请注意年级资格: 一般规则是低年级可以参加高年级的竞赛(只要有足够自信,能说服学校或者报名点),但是高年级不可以参加低年级的竞赛,规则不允许。比方说九年级竞赛,十年级以上学生是不被允许参加的。不用解释,这是为着公平。

想参加竞赛的学生,或者他们的家长,需要了解一下竞赛的种类,出题形式和难度状况。Math Kangaroo 是蛮有人气的竞赛,参加者遍及1 – 12 年级学生。除此而外,多数竞赛是面向中学生的。本篇就是为这一目的给大家做一个概括的介绍:有哪些竞赛,参赛年级和形式;相比而言难度如何?

1)Math Kangaroo,起源于欧洲,现在在全世界越来越有人气。比赛分成6 个年龄组,每两年级是一组。

(我们目前暂未组织这项竞赛)

2)初中数学竞赛(参赛 限于 9 年级以下学生)其中以为7-8 年级而设的高中数学竞赛最为著名。有不少学校组织全体学生参加。如果你住在 Alberta 省,卡加利大学和阿尔伯塔大学每年都会各自主办由他们命题的初中生竞赛。

3)中级和高中数学竞赛 从九年级开始,数学竞赛不仅区分年级,而且有不同难度等级。中级是指九十年级,处于初中到高中过渡的阶段;再往上是高中11-12 年级竞赛。(顺便说一句,12 年级参赛的学生较少,因为不少学生在准备 大学/学院的入学申请,或者联系工作;竞赛成绩突出的学生才会考虑参加,一般参加的都是高水平的竞赛 – 即选拔性竞赛)。难度等级在下面结合各个竞赛点明。

下面介绍由滑铁卢大学 (University of Waterloo) 主办的三个系列的竞赛。

系列一 – PCF 竞赛:Pascal – 九年级,Cayley – 十年级,Fermat – 十一年级。多项选择题,难度中等。

系列二 – FGH 竞赛:Fryer – 九年级,Galois – 十年级,Hypatia – 十一年级。没有多项选择题;部分问题要求给出答数,另一些问题要求写出全部计算和推理过程。答题时间为 75 分钟。

系列三 – 加拿大中级数学竞赛(CIMC,九十年级)和高中数学竞赛(CSMC,十一年级以上)。竞赛形式类似 FGH 竞赛,综合性更强,难度略高。

4)由加拿大数学会主办的选拔性竞赛。数学会有一系列选拔性竞赛,其中第一项 加拿大公开数学挑战赛 (Canadian Open Math Challenge)公开接受报名。接下来的加拿大奥数赛(CMO)和国际数学奥林匹克 (IMO)只是邀请在历次其他竞赛中表现突出的学生参加,不公开接受报名。最终获邀参加 IMO 的将组成加拿大代表队,代表加拿大国家参赛。

5)其他未列的竞赛。除上面提到的竞赛项目外,我们还组织参加过加拿大或者美国的区域性竞赛。有的竞赛可以上网参加:需要老师组织监考,按时完成。

Jonah’s math corner 是正式登记的考点,可以组织参加竞赛。我们也有面向竞赛的辅导项目(当然也有补习提高的辅导)。注意,竞赛辅导和考试登记是分开的。在参加了竞赛辅导后,学生可以自主决定是否参加,和在哪里参加竞赛。选择在本考点参赛的,是否参加竞赛辅导皆可。学生或家长有这方面的需求,欢迎联系,欢迎咨询我们。

想进一步了解的可以参考以下网站:(英文网站)

Centre of Education for Mathematics and Computing Science, Math Contests

— 数学和计算科学中心,数学竞赛

— 上述竞赛的说明,准备和相关材料

Canadian Math Society, Canadian Open Math Challenge

加拿大数学会,数学公开挑战赛

Math Kangaroo Company

Math Kangaroo 数学竞赛

我们的中英文网站 Jonah’s Math Corner在建设中。

www.mathatjonahs.com

www.mathatjonahs.com/eduforum/

Categories
Math All Contests Math Contests - Problems and Discussion

Introduction to Canadian Math Contest

(Revised in August 20, 2026)

Have you heard about the Canadian Math Contests? It is certainly for those talented in math and logic to show their ability, and a good opportunities for those who love the challenges.

For a student to participate in a contest, talk to the school one attends, or talk to us (Jonah’s Math Corner). Be sure to have a current enrollment in a secondary school (junior, high school) — or sometimes elementary school, located in Canada.

Check your grade too — if it says grade 9, then all students in grade 10 and higher cannot write that contest. A students in lower grade are allowed to participate in contests for higher grade (only if he or she feels confident), but not the other way round.

If you are looking at very selective competitions, then COMC (Canadian Open math challenge) is the contest to participate (typically held in October). The very best performed students can earn an entry to represent Canada for the IMO (International Math Olympiad) through further selective process.

Students in grade 9/10/11 may look for CIMC (Canadian Intermediate Contest) and CSMC (Canadian Senior Math Contest) — here Senior means “Senior High School” — Both are held in November on the same time, but no one is allowed to participate in both (just choose one of them).

Keep reading for information about different Contest series, detailed as follows: 

1) Junior math contests (have to be under grade 9 to participate): the most popular is the Gauss contest for grades 7 & 8, organized by U. of Waterloo. Gauss is very popular that some school teachers enrolled all of their students to participate.

There are some grade 9 contest – see the mid-level and high-school level contests, as the challenge is already close to high levels.

If you live in Alberta, then both U. of Calgary and U. of Alberta have set up challenges for Junior students.

2) Mid-level and High-school level Contests — the main stage for the middle school math challenge. University of Waterloo has organized 3 series respectively for grade 9, 10 and 11. The contests questions appears typically in multiple-choice format.

Series I: PCF contest: Pascal for grade 9, Cayley for grade 10 and Fermat – for grade 11.

Questions in PCF appear in multiple-choice format.

Series II: FGH contest: Fryer – for grade 9, Galois – for grade 10 and Hypatia – for grade 11.

No multiple-choice question in FGH series. All answers have to be worked out by participants. In any of these series, there will be two types of questions, one will ask participants for answers only, and the other type will ask students to write full solutions. Each contests is 75 minutes long.

Series III: CIMC – Canadian Intermediate Math Contests (for grade 9/10) and CSMC – Canadian Senior Math Contests (for grade 11/12). The format is similar to FGH, however, the level of challenge is in general higher, and students are provided with 2 hours time to answer.

4) Selective Contests for those best talents in math: Canadian Math Society have a challenge series for those who want to participate in Math Olympiad. The first step is the COMC (Canadian Open Math Challenge). It is selective, so only COMC is open to students; all following contests in the series, like CMO (Canadian Math Olympiad) and IMO (International Math Olymiad), are by-invitation ONLY.

5) Popular Math Contests: Math Kangaroo, started in Europe and becoming popular across world, is organized by Math Kangaroo company. Their are 6 age groups and each group bracket two grades, like grades 1-2, grades 3-4, .. .. According to the organizer’s claim, the purpose of the contest is to challenge students in a playful setting; instead of academic, it aims at developing mental powers and flexibility.

5) Other Contests: besides those mentioned, we occasionally will register students in Regional Math League of Canada or US – some contests are online only – save students the cost and time to travel.

Jonah’s math corner can serve as a site to supervise students to write the math contests. If you have any question, just talk to us.

Categories
Math Contests - Problems and Discussion Math Junior (G9 and under)

Sample Questions for Gauss Contests


Questions chosen from previous Gauss contests
Gauss contests are organized by the Centre of Education for
Math and Computing, University of Waterloo


Problem 1

In the addition shown, P and Q each represent single digits, and the sum is 1PP7. What is P + Q?

(A) 9 (B) 12 (C) 14 (D) 15 (E) 13

Problem 2

In the right-angled triangle PQR, we have that PQ = QR. The three segments QS, TU and VW are perpendicular to PR, and the segments ST and UV are perpendicular to QR, as shown. What fraction of triangle PQR is shaded?

(A) 3 ⁄ 16 (B) 3 ⁄ 8 (C) 5 ⁄ 16 (D) 5 ⁄ 32 (E) 7 ⁄ 32

Problem 3

A box contains a total of 400 tickets that come in five colors: blue, green, red, yellow, and orange. The ratio of blue to green to red tickets is 1 : 2 : 4. The ratio of green to yellow to orange tickets is 1 : 3 : 6. What is the smallest number of tickets that must be drawn to ensure that at least 50 tickets of the same colour have been selected?

(A) 50 (B) 246 (C) 148 (D) 196 (E) 115

Problem 4

Greg, Charlize, and Azarah run at different but constant speeds. Each pair ran a race on a track that measured 100 m from start to finish. In the first race, when Azarah crossed the finish line, Charlize was 20 m behind. In the second race, when Charlize crossed the finish line, Greg was 10 m behind. In the third race, when Azarah crossed the finish line, how many metres was Greg behind?

(A) 20 (B) 25 (C) 28 (D) 32 (E) 40

Problem 5

In right-angled, isosceles triangle FGH, segment FH = √̅8. Arc FH is part of the circumference of a circle with centre G and radius GH. The area of the shaded region is

(A) π – 2; (B) 4 π – 2 (C) 4 π – (1 ⁄ 2) √̅8 ; (D) 4 π – 4 (E) π – √̅8