2023年歐幾里得競賽真題&解析及分數(shù)線預測！

• (a) The average of n, 2n, 3n, 4n, 5n is 18. What is the value of n?

• (b) Suppose that 2x +y= 5 and x + 2y= 7. What is the average of  and y?

• (c) The average of t2, 2t and 3 is 9.If t <0, determine the value of t.

   

• (a) If Q(5,3) is the midpoint of the line segment withendpoints P(1,p)and R(r,5),what are the values of p and r?

• (b)A line with slope 3 and another line with slope -1 intersect at P(3,6). What is the distance between the x-intercepts of the two lines?

• (c) For some value of t, the line with equation y=tx+t is perpendicular to the line with equation y=2x+ 7. Determine the point of intersection of these two lines.

• (a) The positive divisors of 6 are 1, 2, 3, and 6. What is the sum of the positive divisors of 64?

• (b) Fionn wrote 4 consecutive integers on a whiteboard.Lexi came along and erased one of the integers. Fionn noticed that the sum of the remaining integers was 847. What integer did Lexi erase?

• (c) An arithmetic sequence with 7 terms has first term d2 and common difference d. The sum of the 7 terms in the sequence is 756. Determine all possible values of d.

  (An arithmetic sequence is a sequence in which each term after the first is obtained from the previous term by adding a constant, called the common difference. For example, 3,5,7,9 are the first four terms of an arithmetic sequence.)

以下為近年來歐幾里得分數(shù)線，僅供大家參考！

根據(jù)歐幾里得歷年考試及分數(shù)線情況的數(shù)據(jù)，可以得出以下結論：

　　歐幾里得數(shù)學競賽考試結束后，一般會在3個星期后在CEMC官網(wǎng)公布考分成績。(獲獎證書也差不多會在這個時間段寄出)

(https://www.cemc.uwaterloo.ca/contests/euclid.html)，點擊Contest，然后再點擊Results。在Results里點擊GaussResults下方的submittedonline，進入之后輸入用學校注冊號以及密碼登錄系統(tǒng)就可以到查詢歐幾里得數(shù)學競賽成績。