2006COMC加拿大數學公開賽真題免費下載

歷年 Canadian Open Mathematics Challenge加拿大數學公開賽

真題與答案下載

翰林國際教育全網首發

力爭超快速發布最全資料

助你在升學路上一帆風順

為你

千千萬萬遍

2006 COMC真題免費下載

共計2.5小時考試時間

此套試卷由兩部分題目組成

Part A共8題，每題5分

Part B共4題，每題10分

共計12題，滿分80分

不可使用任何計算器

完整版下載鏈接見文末

部分真題預覽：

Part A :

3)In ΔABC, M is the midpoint of BC, as shown. If ∠ABM = 15° and ∠AMC = 30°, what is the size of ∠BCA?

6)Determine the number of integers n that satisfy all three of the conditions below:

• each digit of n is either 1 or 0,
• n is divisible by 6, and
• 0 < n < 107.

8)What is the probability that 2 or more successive heads will occur at least once in 10 tosses of a fair coin?

Part B :

1)Piotr places numbers on a 3 by 3 grid using the following rule, called “Piotr’s Principle”:
For any three adjacent numbers in a horizontal, vertical or diagonal line, the middle number is always the average (mean) of its two neighbours.

1. Using Piotr’s principle, determine the missing numbers in the grid to the right. (You should fill in the missing numbers in the grid in your answer booklet.)
2. Determine, with justification, the total of the nine numbers when the grid to the right is completed using Piotr’s Principle.
3. Determine, with justification, the values of x and y when the grid to the right is completed using Piotr’s Principle.

3)

1. In the diagram, trapezoid ABCD has parallel sides AB and DC of lengths 10 and 20, respectively. Also, the length of AD is 6 and the length of BC is 8. Determine the area of trapezoid ABCD.
2. In the diagram, PQRS is a rectangle and T is the midpoint of RS. The inscribed circles of 4PTS and 4RTQ each have radius 3. The inscribed circle of 4QPT has radius 4. Determine the dimensions of rectangle PQRS.

完整版真題資料可以底部二維碼免費領取↓↓↓

[vc_btn title="查看更多COMC加拿大數學奧賽相關詳情" color="primary" align="center" i_icon_fontawesome="fa fa-globe" css_animation="zoomIn" button_block="true" add_icon="true" link="url:http%3A%2F%2Fwww.linstitute.net%2Farchives%2F99767||target:%20_blank|"]

[product_category per_page="4" columns="2" orderby="modified" order="ASC" category="math"]
[vc_btn title="更多翰林國際教育AMC/AIME相關課程" color="primary" align="center" i_icon_fontawesome="fa fa-calculator" button_block="true" add_icon="true" link="url:https%3A%2F%2Fwww.linstitute.net%2Fproduct-category%2Fcontest%2Fmath||target:%20_blank|"]