在全球范围内，数学教育已成为学生综合素质培养的重要组成部分，而美国数学竞赛（AMC）作为一项具有广泛影响力的数学赛事，正是对学生数学能力的最佳检验和展示。AMC8竞赛由美国数学协会（MAA）主办，专为八年级及以下的学生设计，旨在激发学生对数学的兴趣。
AMC8竞赛对校内数学提升有帮助吗？
知识面扩展：
AMC8覆盖了小学和初中早期的数学知识，包括算术、代数、几何、概率等多个领域。通过准备AMC8，学生可以提前接触和掌握这些知识点，从而在学校的数学课程中更加得心应手。
学习习惯的培养：
为了在AMC8中取得好成绩，学生需要养成良好的学习习惯，如定期复习、深入探究问题等，这些习惯同样适用于日常的数学学习。
解决问题的能力：
AMC8题目往往需要学生运用创造性思维来解决问题，这种能力的提升有助于学生在校内数学考试中更快地解决复杂问题。
针对不同年级的备考建议
G3（三年级）以下
不建议学习：
- 知识跨度太大，超出了孩子的理解能力。
- 即使补充知识点也很难取得优异成绩。
辅助措施：
若有兴趣探索，可通过做往年真题测试基础，并咨询专业人士意见。
G4-G5（四至五年级）
关键时期：此阶段是锻炼和拓展数学思维的重要时刻。
备考策略：学生应着手认真备战AMC8，很多上海的学生就是从此时期开始准备。
G6-G8（六至八年级）
成熟参赛阶段：学生已具备必要的数学思维基础和学习能力。
目标设定：建议瞄准前5%甚至前1%的高分目标。
进阶路径：已有成绩的学生可以考虑挑战更具难度的AMC10竞赛。
AMC8多少分可以拿奖？
AMC8竞赛全球个人奖
满分奖(Perfect Scores)：需要获得满分25分
全球卓越奖(Distinguished Honor Roll)，简称DHR：全球排名前1%，一般答对21题及以上
全球优秀奖(Honor Roll)，简称HR：全球排名前5%，一般答对17题及以上
全球荣誉奖(Achievement Roll)，简称AR，也称“低年级成就奖”：要求六年级及以下的同学参加且获得15分以上
AMC8竞赛中国赛区个人奖项
（初中组和小学组分别排名）
一等奖 Highly Distinction：全国前5%
二等奖 Distinction：全国前15%
三等奖 Merit：全国前30%
不知道孩子数学水平如何？
扫码进行AMC8能力测评，看看孩子是否适合参加AMC8！
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residents of Aimeville, there are 
who own a diamond ring, 
who own a set of golf clubs, and 
who own a garden spade. In addition, each of the 
residents who own exactly two of these things, and 
residents who own exactly three of these things. Find the number of residents of Aimeville who own all four of these things.
The sum of the items in the list is 
.
.
, and the sum of the three numbers formed by reading top to bottom is 
. The grid below is an example of such an arrangement because 
and 
.![\[\begin{array}{|c|c|c|} \hline 0 & 0 & 8 \\ \hline 9 & 9 & 1 \\ \hline \end{array}\]](https://latex.artofproblemsolving.com/3/7/8/3789264ba7fedec68fa8488d65f286df5cdbefbc.png)
and 
be positive real numbers that satisfy the following system of equations:![\[\log_2\left({x \over yz}\right) = {1 \over 2}\]](https://latex.artofproblemsolving.com/e/6/5/e65012d6b5c3081c7d2f9ec748f09b2b5cada208.png)
![\[\log_2\left({y \over xz}\right) = {1 \over 3}\]](https://latex.artofproblemsolving.com/a/8/e/a8e021d3f2a2db4d7a423d5ed27f93c58b19ea1b.png)
![\[\log_2\left({z \over xy}\right) = {1 \over 4}\]](https://latex.artofproblemsolving.com/3/a/8/3a806f801e846b4f7311aee3f5b30971dad5310b.png)
Then the value of 
is 
where 
and 
are relatively prime positive integers. Find 
.
be a convex equilateral hexagon in which all pairs of opposite sides are parallel. The triangle whose sides are extensions of segments 
, 
, and 
has side lengths 
and 
. Find the side length of the hexagon.
of positive integers. Then Bob lists all finite nonempty sets 
of positive integers with the property that the maximum element of 
sets. Find the sum of the elements of 
be the greatest four-digit integer with the property that whenever one of its digits is changed to 
, the resulting number is divisible by 
. Let 
and 
be the quotient and remainder, respectively, when 
. Find 
.
is the surface produced by revolving a circle with radius 3 around an axis in the plane of the circle that is a distance 6 from the center of the circle (so like a donut). Let 
be a sphere with a radius 11. When 
, and when 
. The difference 
can be written as 
, where ![[asy] unitsize(0.3 inch); draw(ellipse((0,0), 3, 1.75)); draw((-1.2,0.1)..(-0.8,-0.03)..(-0.4,-0.11)..(0,-0.15)..(0.4,-0.11)..(0.8,-0.03)..(1.2,0.1)); draw((-1,0.04)..(-0.5,0.12)..(0,0.16)..(0.5,0.12)..(1,0.04)); draw((0,2.4)--(0,-0.15)); draw((0,-0.15)--(0,-1.75), dashed); draw((0,-1.75)--(0,-2.25)); draw(ellipse((2,0), 1, 0.9)); draw((2.03,-0.02)--(2.9,-0.4)); [/asy]](https://latex.artofproblemsolving.com/d/4/7/d47e4fdb4c54afd9a0eabe569e4cabb139ec600a.png)
indistinguishable white chips and 
grid such that
have incenter 
and circumcenter 
with 
, circumradius 
, and inradius 
. Find 
.
kilometers per hour, and the walk takes 
hours, including 
minutes at the coffee shop. Another morning, she walks at 
kilometers per hour, and the walk takes 
hours and 
minutes, including 
kilometers per hour, how many minutes will the walk take, including the 
and 
with 
satisfy 
What is the value of 
?
She wins a prize if at least two of her numbers were 
and 
are drawn such that 
are collinear. Also, 
all lie on a circle. If 
and 
what is the length of 
?![[asy] import graph; unitsize(0.1cm); pair A = (0,0);pair B = (70,0);pair C = (70,16);pair D = (0,16);pair E = (3,16);pair F = (90,16);pair G = (90,33);pair H = (3,33); dot(A^^B^^C^^D^^E^^F^^G^^H); label("$A$", A, S);label("$B$", B, S);label("$C$", C, N);label("$D$", D, N);label("$E$", E, S);label("$F$", F, S);label("$G$", G, N);label("$H$", H, N); draw(E--D--A--B--C--E--H--G--F--C); [/asy]](https://latex.artofproblemsolving.com/1/2/f/12f0a4224f27ffa406ded2c01cfd349ecd0c04de.png)
that follow the lines from the lower left corner to the upper right corner on an 
grid. Find the number of such paths that change direction exactly four times, like in the examples shown below.![[asy] size(7.5cm); usepackage("tikz");label("\begin{tikzpicture}[scale=.4]\draw(0,0)grid(8,8);\draw[line width=2,red](0,0)--(2,0)--(2,3)--(5,3)--(5,8)--(8,8);\end{tikzpicture}",origin); label("\begin{tikzpicture}[scale=.4]\draw(0,0)grid(8,8);\draw[line width=2,red](0,0)--(0,3)--(3,3)--(3,5)--(8,5)--(8,8);\end{tikzpicture}",E); [/asy]](https://latex.artofproblemsolving.com/f/a/2/fa2be3ff5b03203d7779a7a359fa05e2bf9d0c55.png)
![\[(75+117i)z+\frac{96+144i}{z}\]](https://latex.artofproblemsolving.com/8/9/f/89f4e07cc86e94772fd84e963c46fad30e9b51f7.png)
where 
.
can be placed tangent to 
of 
so that the circles are sequentially tangent to each other, with the first circle being tangent to 
, as shown. Similarly, ![[asy] pair A = (2,1); pair B = (0,0); pair C = (3,0); dot(A^^B^^C); label("$A$", A, N); label("$B$", B, S); label("$C$", C, S); draw(A--B--C--cycle); for(real i=0.62; i<2.7; i+=0.29){ draw(circle((i,0.145), 0.145)); } [/asy]](https://latex.artofproblemsolving.com/e/c/5/ec5d6f1f995c862b1609e69add5733cb092f1f3f.png)
and are in that order. If its diagonals intersect at the origin, find the largest number less than 
for all rhombuses 
. Let the tangents to 
intersect at point 
, and let 
intersect 
. If 
, 
, and 
, 
can be written as the form 
.
?
are deposited in 
bins, labeled 
and 
, using the following procedure. Ball 
are deposited in 
are deposited in bin 
![\[1 + 3+5+7+\cdots+97+99\]](https://latex.artofproblemsolving.com/f/b/a/fba42eee201e89836d88d1fb08c49a5c0a97c39b.png)
When the new expression was evaluated, it was negative. What is the least number of plus signs that Melanie could have changed to minus signs?
dollars by 
. How many digits does this number of dollars have when written as a numeral in base 
as 
is sufficient for this problem.)
is a rectangle with 
and 
. Point 
lies 
, point 
, and 
is a right angle. The areas of 
and 
are equal. What is the area of 
?![[asy] pair X = (0, 0); pair W = (0, 4); pair Y = (8, 0); pair Z = (8, 4); label("$X$", X, dir(180)); label("$W$", W, dir(180)); label("$Y$", Y, dir(0)); label("$Z$", Z, dir(0)); draw(W--X--Y--Z--cycle); dot(X); dot(Y); dot(W); dot(Z); pair M = (2, 0); pair A = (8, 3); label("$A$", A, dir(0)); dot(M); dot(A); draw(W--M--A--cycle); markscalefactor = 0.05; draw(rightanglemark(W, M, A)); label("$M$", M, dir(-90)); [/asy]](https://latex.artofproblemsolving.com/a/e/9/ae9f151d0a601f719d48015b0f36651f319802a3.png)
![\[\frac{\log_2x\cdot\log_3x}{\log_2x+\log_3x}=2?\]](https://latex.artofproblemsolving.com/f/f/e/ffe17a6345042ba69850f77f5df1309773bfb1be.png)
such that 
. A target 
A dart is thrown and lands at a random point in 
where 
, 
, 
, 
, and 
with 
. The range of the list is 
are possible?
?
are deposited in 
are deposited in bin 
![\[1+3+5+7+...+97+99\]](https://latex.artofproblemsolving.com/a/3/0/a307bbc8aeccf32d5dea44474103639a57f21408.png)
When the new expression was evaluated, it was negative. What is the least number of plus signs that Melanie could have changed to minus signs?
is divided by 
?
. What is the units digit of 
and 
have arithmetic mean 
. The arithmetic mean of 
and 
is 
. What is the arithmetic mean of 
and 
?
be the intersection of lines 
and 
. What is the ratio of the area of quadrilateral 
to the area of 
?
