2026 AMC8 #3 · Geometry · ★★
Haruki has 24 centimeters of wire. He cuts the wire and bends it into the following shapes, one at a time:
- A regular hexagon with side length 5 cm
- A square of area 36 cm²
- A right triangle whose legs are 6 and 8 cm long
Which of the shapes can Haruki make?
Haruki 有 24 厘米长的铁丝。他剪断铁丝并把它弯成以下形状，一次做一个：
- 边长为 5 cm 的正六边形 - 面积为 36 cm² 的正方形 - 两条直角边分别为 6 cm 和 8 cm 的直角三角形
Haruki 能做出哪些形状？
正确答案：D · 分值：1
用同分类同星级进入练习 →2026 AMC8 #6 · Geometry · ★★
Peter lives near a rectangular field that is filled with blackberry bushes. The field is 10 meters long and 8 meters wide, and Peter can reach any blackberries that are within 1 meter of an edge of the field. The portion of the field he can reach is shaded in the figure below. What fraction of the area of the field can Peter reach?
Peter 住在一块长方形黑莓地附近。这块地长 10 米，宽 8 米。他能够采摘到距离地块边缘 1 米范围内的所有黑莓。下图中阴影部分表示他能到达的区域。他能到达的区域占整块地面积的几分之几？
正确答案：E · 分值：1
用同分类同星级进入练习 →2026 AMC8 #11 · Geometry · ★★★
Squares of side length 1, 1, 2, 3, and 5 are arranged to form the rectangle shown below. A curve is drawn by inscribing a quarter circle in each square and joining the quarter circles in order, from shortest to longest. What is the length of the curve?
边长分别为 1、1、2、3 和 5 的正方形被排列成如下所示的矩形。在每个正方形内画一个四分之一圆，并按从小到大的顺序将这些四分之一圆连接起来形成一条曲线。这条曲线的长度是多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2026 AMC8 #13 · Geometry · ★★★
The figure below shows a tiling of 1×1 unit squares. Each row of unit squares is shifted horizontally by half a unit relative to the row above it. A shaded square is drawn on top of the tiling. Each vertex of the shaded square is a vertex of one of the unit squares. In square units, what is the area of the shaded square?
下图展示了一种由 1×1 单位正方形组成的铺砖图案。每一行相对于上一行水平偏移半个单位。图中还有一个覆盖在铺砖上的阴影正方形，其每个顶点都是某个单位正方形的顶点。这个阴影正方形的面积是多少（单位：平方单位）？
正确答案：A · 分值：1
用同分类同星级进入练习 →2026 AMC8 #15 · Geometry · ★★★
Elijah has a large collection of identical wooden cubes which are white on 4 faces and gray on 2 faces that share an edge. He glues some cubes together face-to-face. The figure below shows 2 cubes being glued together, leaving 3 gray faces visible. What is the fewest number of cubes that he could glue together to ensure that no gray faces are visible, no matter how he rotates the figure?
Elijah 有很多相同的木制小立方体，每个立方体有 4 个白色面和 2 个灰色面，且这两个灰色面共享一条棱。他将一些立方体面对面粘在一起。下图展示了两个立方体粘合后，露出 3 个灰色面的情形。他至少需要粘合多少个小立方体，才能确保无论怎样旋转整个图形，都看不到任何灰色面？
正确答案：A · 分值：1
用同分类同星级进入练习 →2026 AMC8 #23 · Geometry · ★★★★
Lakshmi has 5 round coins of diameter 4 centimeters. She arranges the coins in 2 rows on a table top, as shown below, and wraps an elastic band tightly around them. In centimeters, what will be the length of the band?
Lakshmi 有 5 枚直径为 4 厘米的圆形硬币。她将这些硬币按如下方式在桌面上排成两行，并用一根橡皮筋紧紧围住它们。橡皮筋的长度是多少厘米？
正确答案：C · 分值：1
用同分类同星级进入练习 →2026 AMC8 #25 · Geometry · ★★★★
In an equiangular hexagon, all interior angles measure 120°. An example of such a hexagon with side lengths 2, 3, 1, 3, 2, and 2 is shown below, inscribed in equilateral triangle ABC. Consider all equiangular hexagons with positive integer side lengths that can be inscribed in △ABC, with all six vertices on the sides of the triangle. What is the total number of such hexagons? Hexagons that differ only by a rotation or a reflection are considered the same.
在一个等角六边形中，所有内角均为 120°。下图展示了一个边长依次为 2、3、1、3、2、2 的例子，它内接于一个等边三角形 ABC 中。考虑所有边长为正整数、且六个顶点都在 △ABC 三边上的等角六边形。若两个六边形仅通过旋转或反射重合，则视为相同。这样的六边形共有多少个？
正确答案：E · 分值：1
用同分类同星级进入练习 →2025 AMC8 #1 · Geometry · ★
The eight-pointed star, shown in the figure below, is a popular quilting pattern. What percent of the entire 4×4 grid is covered by the star? 下图所示的八角星是一种流行的拼布图案。请问这个星形图案的面积占整个4×4网格的百分之多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2025 AMC8 #5 · Geometry · ★★
Betty drives a truck to deliver packages in a neighborhood whose street map is shown below. Betty starts at the factory (labled F ) and drives to location A , then B , then C , before returning to F . What is the shortest distance, in blocks, she can drive to complete the route? Betty驾驶卡车在一个社区送货，该社区的街道地图如下所示。Betty从工厂（标记为F）出发，依次到达A地、B地、C地，最后返回F地。请问她驾车走完这条路线的最短距离是多少？以街区为单位。
正确答案：C · 分值：1
用同分类同星级进入练习 →2025 AMC8 #8 · Geometry · ★★
Isaiah cuts open a cardboard cube along some of its edges to form the flat shape shown on the right, which has an area of 18 square centimeters. What is the volume of the cube in cubic centimeters?
Isaiah沿着一个硬纸板立方体的部分边缘将其剪开，形成右下图所示的平面图形，该图形的面积为18平方厘米。请问这个立方体的体积是多少立方厘米？
正确答案：A · 分值：1
用同分类同星级进入练习 →2025 AMC8 #10 · Geometry · ★★
In the figure below, ABCD is a rectangle with sides of length AB = 5 inches and AD = 3 inches. Rectangle ABCD is rotated 90∘ clockwise around the midpoint of side DC to give a second rectangle. What is the total area, in square inches, covered by the two overlapping rectangles? 如图所示，ABCD是一个长方形，其边长AB = 5英寸，AD = 3英寸。长方形ABCD绕DC边的中点顺时针旋转90°，得到第二个长方形。请问这两个重叠长方形覆盖的总面积是多少平方英寸？
正确答案：D · 分值：1
用同分类同星级进入练习 →2025 AMC8 #11 · Geometry · ★★★
Atetromino consists of four squares connected along their edges. There are five possible tetromino shapes, I , O , L , T , and S , shown below, which can be rotated or flipped over. Three tetrominoes are used to completely cover a 3×4 rectangle. At least one of the tiles is an S tile. What are the other two tiles? 一个四格拼板由四个正方形沿边相连组成。下图展示了五种可能的四格拼板形状：I、O、L、T和S，这些形状可以旋转或翻转。用三个四格拼板可以完全覆盖一个3×4的矩形，其中至少有一个是S形拼板。请问另外两个拼板的形状是什么？
正确答案：C · 分值：1
用同分类同星级进入练习 →2025 AMC8 #12 · Geometry · ★★★
The region shown below consists of 24 squares, each with side length 1 centimeter. What is the area, in square centimeters, of the largest circle that can fit inside the region, possibly touching the boundaries?
下图所示区域由24个边长为1厘米的正方形组成。请问该区域内正好能够容纳的最大圆的面积是多少平方厘米？（最大圆可能会接触到边界）
正确答案：C · 分值：1
用同分类同星级进入练习 →2025 AMC8 #18 · Geometry · ★★★
The circle shown below on the left has a radius of 1 unit. The region between the circle and the inscribed square is shaded. In the circle shown on the right, one quarter of the region between the circle and the inscribed square is shaded. The shaded regions in the two circles have the same area. What is the radius R , in units, of the circle on the right? 左下图的圆的半径为1个单位，阴影部分为圆和其内接正方形之间的区域。在右下图的圆中，阴影部分为圆和其内接正方形之间区域的四分之一。两个圆中的阴影区域面积相同。请问右下图的圆的半径R是多少个单位？
正确答案：B · 分值：1
用同分类同星级进入练习 →2025 AMC8 #24 · Geometry · ★★★★
In trapezoid ABCD , angles B and C measure 60∘ and AB = DC . The side lengths are all positive integers, and the perimeter of ABCD is 30 units. How many non-congruent trapezoids satisfy all of these conditions? 在梯形ABCD中，∠B = ∠C = 60°，且AB = DC。该梯形的各边长均为正整数，其周长为30个单位。请问一共有多少个满足以上全部条件的非全等梯形？
正确答案：E · 分值：1
用同分类同星级进入练习 →2024 AMC8 #3 · Geometry · ★★
Four squares of side length 4, 7, 9, and 10 units are arranged in increasing size order so that their left edges and bottom edges align. The squares alternate in color white-gray-white-gray, respectively, as shown in the figure. What is the area of the visible gray region in square units?
将四个边长分别为 4、7、9、10 个单位的正方形从小到大依次排列，使得它们的左侧边和底边分别对齐。四个正方形的颜色按照白色-灰色-白色-灰色的顺序交替出现，如图所示。请问灰色可见区域的面积为多少个平方单位？
正确答案：E · 分值：1
用同分类同星级进入练习 →2024 AMC8 #6 · Geometry · ★★
Sergei skated around an ice rink, gliding along different paths. The gray lines in the figures below show four of the paths labeled P, Q, R, and S. What is the sorted order of the four paths from shortest to longest?
Sergei在滑冰场沿着不同路径滑冰。下图中的灰色线条表示4条不同路径，分别标记为P、Q、R、S。请问这4条路径从短到长的正确排列顺序是什么？
正确答案：D · 分值：1
用同分类同星级进入练习 →2024 AMC8 #7 · Geometry · ★★
A3×7 rectangle is covered without overlap by 3 shapes of tiles: 2×2, 1×4, and 1×1, shown below. What is the minimum possible number of 1×1 tiles used? 一个3×7的矩形被下方3种规格分别为2×2、1×4和1×1的瓷砖所覆盖，且各瓷砖之间互不重叠。请问最少可能会用到多少个1×1的瓷砖？
正确答案：E · 分值：1
用同分类同星级进入练习 →2024 AMC8 #11 · Geometry · ★★★
The coordinates of △ABC are A(5, 7), B(11, 7), and C(3, y), with y > 7.
The area of △ABC is 12.
What is the value of y?
△ABC 的顶点坐标分别为 A(5,7)、B(11,7)和 C(3,y)，其中 y>7。已知△ABC 的面积为12，请问y的值为多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →2024 AMC8 #18 · Geometry · ★★★
Three concentric circles centered at O have radii of 1, 2, and 3. Points B and C lie on the largest circle. The region between the two smaller circles is shaded, as is the portion of the region between the two larger circles bounded by central angle ∠BOC, as shown in the figure below. Suppose the shaded and unshaded regions are equal in area. What is the measure of ∠BOC in degrees?
以点 O 为圆心的三个同心圆的半径分别为 1、2、3。点 B 和点 C 位于最大圆上。两个较小圆之间的区域被涂上阴影，两个较大圆之间且位于圆心角 ∠BOC 内的区域也被涂上阴影，如图所示。若阴影区域与非阴影区域面积相等，请问 ∠BOC 的度数是多少？
正确答案：A · 分值：1
用同分类同星级进入练习 →2024 AMC8 #20 · Geometry · ★★★
Any three vertices of the cube PQRSTUVW, shown in the figure below, can be connected to form a triangle.
For example, vertices P, Q, and R can be connected to form an isosceles △PQR.
How many of these triangles are equilateral and contain P as a vertex?
如图所示，立方体PQRSTUVW上任意三个顶点相连可以构成一个三角形（例如，顶点P,Q，R相连可以构成一个等腰三角形△PQR）。请问在上述三角形中， 有多少个是以P为一个顶点的等边三角形？
正确答案：D · 分值：1
用同分类同星级进入练习 →2024 AMC8 #22 · Geometry · ★★★★
A roll of tape is 4 inches in diameter and is wrapped around a ring that is 2 inches in diameter. A cross section of the tape is shown in the figure below. The tape is 0.015 inches thick. If the tape is completely unrolled, approximately how long would it be? Round your answer to the nearest 100 inches.
下图为一卷胶带的横截面。胶带直径为4英寸，其中包裹着一个直径为2英寸的圆环。胶带厚度为0.015英寸。请问这卷胶带全部展开大约有多少英寸？请将答案四舍五入到最接近的百位数。
正确答案：B · 分值：1
用同分类同星级进入练习 →2024 AMC8 #23 · Geometry · ★★★★★
Rodrigo has a very large piece of graph paper. First he draws a line segment connecting point (0, 4) to point (2, 0) and colors the 4 cells whose interiors intersect the segment, as shown below. Next Rodrigo draws a line segment connecting point (2000, 3000) to point (5000, 8000). Again he colors the cells whose interiors intersect the segment. How many cells will he color this time?
Rodrigo有一张非常大的方格纸。他先画了一条线段连接点（O,4)和点（2,0），然后为内部与该线段相交的4个方格上色，如图所示。紧接着Rodrigo又画了一条线段连接点(2000,3000）和点（5000,8000)，并为内部与该线段相交的方格上色。 请问这次Rodrigo要给多少个方格上色？
正确答案：C · 分值：1
用同分类同星级进入练习 →2024 AMC8 #24 · Geometry · ★★★★
Jean made a piece of stained glass art in the shape of two mountains, as shown in the figure below.
One mountain peak is 8 feet high and the other peak is 12 feet high. Each peak forms a 90° angle, and the straight sides of the mountains form 45° angles with the ground.
The artwork has an area of 183 square feet. The sides of the mountains meet at an intersection point near the center of the artwork, h feet above the ground.
What is the value of h?
Jean制作了一件两座山形状的彩色玻璃艺术品，如下图所示。一座山峰高8英尺，另一座山峰高12英尺。每座山的顶部都形成一个90°的角，两座山的直边都与地面形成一个45°的夹角。这件艺术品的面积为183平方英尺。两座山的另一边在艺术品中心附近的位置相交，相交点距离地面h英尺。请问h的值是多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2023 AMC8 #2 · Geometry · ★★
A square piece of paper is folded twice into four equal quarters, as shown below, then cut along the dashed line. When unfolded, the paper will match which of the following figures?
如下图所示，将一张正方形纸对折两次，变成四等分，然后沿虚线裁剪。问这张纸展开后会是下面哪个图形？
正确答案：E · 分值：1
用同分类同星级进入练习 →2023 AMC8 #7 · Geometry · ★★
A rectangle, with sides parallel to the x-axis and y-axis, has opposite vertices at (15, 3) and (16, 5). A line is drawn through A(0,0) and B(3,1). Another line is drawn through C(0,10) and D(2,9). How many points on the rectangle lie on at least one of the two lines?
有一个矩形，它的边平行于 x 轴和 y轴，两个相对的顶点分别是（15，3）与（16，5）。过点 A(0,0) 与 B(3,1) 作一条直线，再过点 C(0,10) 与 D(2,9) 作另一条直线。问矩形的边界上有多少个点落在两条直线中至少一条上？
正确答案：B · 分值：1
用同分类同星级进入练习 →2023 AMC8 #12 · Geometry · ★★★
The figure below shows a large white circle with a number of smaller white and shaded circles in its interior. What fraction of the interior of the large white circle is shaded?
如图所示，在一个大的白色圆圈内部有许多较小的白色和灰色圆圈．问灰色部分在大的白色圆圈内部所占的比例是多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2023 AMC8 #17 · Geometry · ★★★
A regular octahedron has eight equilateral triangle faces with four faces meeting at each vertex. Jun will make the regular octahedron shown on the right by folding the piece of paper shown on the left. Which numbered face will end up to the right of Q? 正八面体有八个面，都是等边三角形，在每个顶点处有四个面相交。如图所示，Jun 把左边的纸片折成了右边的正八面体。问出现在 Q 的右边的那个面上的数是几？
正确答案：A · 分值：1
用同分类同星级进入练习 →2023 AMC8 #19 · Geometry · ★★★
An equilateral triangle is placed inside a larger equilateral triangle so that the region between them can be divided into three congruent trapezoids, as shown below. The side length of the inner triangle is 32 the side length of the larger triangle. What is the ratio of the area of one trapezoid to the area of the inner triangle? 如图所示，一个等边三角形在另一个更大的等边三角形内部，它们之间的区域可以分成三个全等的梯形．内部三角形的边长是大三角形边长的32，问一个梯形的面积与内部三角形的面积之比是多少？ 正确答案：C · 分值：1
用同分类同星级进入练习 →2023 AMC8 #24 · Geometry · ★★★★
Isosceles triangle ABC has equal side lengths AB and BC. In the figures below, segments are drawn parallel to AC so that the shaded portions of △ABC have the same area. The heights of the two unshaded portions are 11 and 5 units, respectively. What is the height h of △ABC? 在等腰三角形ABC中，边AB和BC的长度相等．在下图中，由平行于AC的线段形成的△ABC中的两个阴影部分具有相同的面积. 两个空白部分的高度分别为 11和5. 问△ABC的高h是多少?
正确答案：A · 分值：1
用同分类同星级进入练习 →2022 AMC8 #1 · Geometry · ★
The Math Team designed a logo shaped like a multiplication symbol, shown below on a grid of 1-inch squares. What is the area of the logo in square inches?
在由边长为 1 英寸的正方形组成的方格纸上，数学小组设计了一个类似乘法符号的标志，如下图所示。问该标志的面积是多少平方英寸？
正确答案：A · 分值：1
用同分类同星级进入练习 →2022 AMC8 #4 · Geometry · ★★
The letter M in the figure below is first reflected over the line q and then reflected over the line p . What is the resulting image?
下图中的字母 M 首先沿着直线q反射，然后沿着直线p反射。问所得到的图像是怎样的？
正确答案：E · 分值：1
用同分类同星级进入练习 →2022 AMC8 #18 · Geometry · ★★★
The midpoints of the four sides of a rectangle are (-3,0), (2,0), (5,4), and (0,4). What is the area of the rectangle?
一个长方形的四条边的中点是(-3，0)，(2，0)，(5，4)和(0，4)。问这个长方形的面积是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2022 AMC8 #24 · Geometry · ★★★★
The figure below shows a polygon ABCDEFGH , consisting of rectangles and right triangles. When cut out and folded on the dotted lines, the polygon forms a triangular prism. Suppose that AH = EF = 8 and GH = 14 . What is the volume of the prism?
下图所示的多边形 ABCDEFGH 由长方形和直角三角形组成。当把它剪出并沿虚线折叠后，该多边形可以形成一个底面是三角形的棱柱。假设 AH=EF=8，GH=14。问该棱柱的体积是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2020 AMC8 #9 · Geometry · ★★
Akash's birthday cake is in the form of a 4×4×4 inch cube. The cake has icing on the top and the four side faces, and no icing on the bottom. Suppose the cake is cut into 64 smaller cubes, each measuring 1×1×1 inch, as shown below. How many small pieces will have icing on exactly two sides? Akash 的生日蛋糕是一个 4ｘ4ｘ4 的正方体（边长单位：英寸）。这个立方体的顶部和 4 个侧面都有冰覆盖，但底而没有。假设这个正方体被分成 64 个 1ｘ1ｘ1 英寸的小正方体，如下图所示。那么这些小正方体中有多少个恰好两面有冰？
正确答案：D · 分值：1
用同分类同星级进入练习 →2020 AMC8 #18 · Geometry · ★★★
Rectangle ABCD is inscribed in a semicircle with diameter FE, as shown in the figure. Let DA=16, and let FD=AE=9. What is the area of ABCD? 如图所示，矩形 ABCD 内接于以 FE 为直径的半圆中。已知 DA=16，FD=AE=9。那么 ABCD 的面积是多少？ 正确答案：A · 分值：1
用同分类同星级进入练习 →2020 AMC8 #25 · Geometry · ★★★★
Rectangles R_1 and R_2, and squares S_1, S_2, and S_3, shown below, combine to form a rectangle that is 3322 units wide and 2020 units high. What is the side length of S_2 in units?
如图所示，矩形 R1、R2 和正方形 S1、S2、S3 拼成了一个宽 3322、高 2020 的大矩形。求 S2 的边长是多少？ 正确答案：A · 分值：1
用同分类同星级进入练习 →2019 AMC8 #2 · Geometry · ★★
Three identical rectangles are put together to form rectangle ABCD , as shown in the figure below. Given that the length of the shorter side of each of the rectangles is 5 feet, what is the area in square feet of rectangle ABCD ?
如图，把三个全等矩形拼在一起形成矩形 ABCD，已知每个小的矩形的短边为 5 英尺，求矩形 ABCD 的面积是多少平方英尺？
正确答案：E · 分值：1
用同分类同星级进入练习 →2019 AMC8 #4 · Geometry · ★★
Quadrilateral ABCD is a rhombus with perimeter 52 meters. The length of diagonal AC is 24 meters. What is the area in square meters of rhombus ABCD ? 四边形 ABCD 是个周长为 52 米的菱形。对角线是多少平方米？
正确答案：D · 分值：1
用同分类同星级进入练习 →2019 AMC8 #9 · Geometry · ★
Alex and Felicia each have cats as pets. Alex buys cat food in cylindrical cans that are 6 cm in diameter and 12 cm high. Felicia buys cat food in cylindrical cans that are 12 cm in diameter and 6 cm high. What is the ratio of the volume of one of Alex's cans to the volume of one of Felicia's cans?
Alex 和 Felicia 他们都有宠物猫。Alex 买的宠物猫粮是装在底面直径为 6 厘米，高度 12 厘米的圆柱形罐子里的。Felicia 买的猫粮则装在底面直径是 12 厘米，高为 6 厘米的圆柱形罐子里。问 Alex 的罐子的体积和 Felicia 的罐子的体积之比是多少?
正确答案：B · 分值：1
用同分类同星级进入练习 →2019 AMC8 #12 · Geometry · ★★★
The faces of a cube are painted in six different colors: red (R) , white (W) , green (G) , brown (B) , aqua (A) , and purple (P) . Three views of the cube are shown below. What is the color of the face opposite the aqua face?
用六种不同的颜色给一个正方体的六个面涂色：红色（R），白色（W），绿色（G），棕色（B），湖绿色（A）和紫色（P）。下图展示了这个正方体的 3 个不同视图。那么和湖绿色面相对的那个面的颜色是什么颜色？
正确答案：A · 分值：1
用同分类同星级进入练习 →2019 AMC8 #21 · Geometry · ★★★
What is the area of the triangle formed by the lines y=5 , y=1+x , and y=1-x ?
由三条直线 y=5，y=1+x 和 y=1-x 所包围的三角形的面积是多少？
正确答案：E · 分值：1
用同分类同星级进入练习 →2019 AMC8 #24 · Geometry · ★★★★★
In triangle ABC , point D divides side AC so that AD:DC=1:2 . Let E be the midpoint of BD and let F be the point of intersection of line BC and line AE . Given that the area of △ABC is 360 , what is the area of △EBF? 在三角形 ABC 中，点 D 把边分成的两段满足 AD:DC＝1:2，点 E 是线段 BD 的中点，F 是直线 BC 和 AE 的交点。已知 ΔABC 的面积是 360，问 ΔEBF 的面积是多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2018 AMC8 #4 · Geometry · ★★
The twelve-sided figure shown has been drawn on 1 cm×1 cm graph paper. What is the area of the figure in cm2? 如下图所示的十二边形画在 1cmｘ1cm 的画纸上。那么这个十二边形的面积是多少平方厘米？
正确答案：C · 分值：1
用同分类同星级进入练习 →2018 AMC8 #9 · Geometry · ★★
Tyler is tiling the floor of his 12-foot by 16-foot living room. He plans to place one-foot by one-foot square tiles to form a border along the edges of the room and to fill in the rest of the floor with two-foot by two-foot square tiles. How many tiles will he use?
正在将他起居室 12 英尺ｘ16 英尺的地面用瓷砖贴起来。他打算用 1 英尺ｘ1 英尺的方形瓷砖沿着地板的边缘贴起来，地板的其他部分用 2 英尺ｘ2 英尺的方形瓷砖填满。问他最终总共使用了多少块瓷砖？
正确答案：B · 分值：1
用同分类同星级进入练习 →2018 AMC8 #15 · Geometry · ★★★
In the diagram below, a diameter of each of the two smaller circles is a radius of the larger circle. If the two smaller circles have a combined area of 1 square unit, then what is the area of the shaded region, in square units?
如下图所示，2 个小圆各自的直径都是大圆的半径，如果这 2 个小圆的面积之和是 1 平方单位，那么图中阴影部分的面积是多少平方单位？
正确答案：D · 分值：1
用同分类同星级进入练习 →2018 AMC8 #20 · Geometry · ★★★
In △ABC, a point E is on AB with AE=1 and EB=2. Point D is on AC so that DE∥BC and point F is on BC so that EF∥AC. What is the ratio of the area of CDEF to the area of △ABC? 在 △ABC 中，点 E 在边 AB 上，满足 AE=1，EB=2。点 D 在边 AC 上，满足 DE∥BC；点 F 在边 BC 上，满足 EF∥AC。则 CDEF 的面积与 △ABC 的面积之比是多少？ 正确答案：A · 分值：1
用同分类同星级进入练习 →2018 AMC8 #22 · Geometry · ★★★★
Point E is the midpoint of side CD in square ABCD, and BE meets diagonal AC at F. The area of quadrilateral AFED is 45. What is the area of ABCD? 在正方形 ABCD 中，E 是边 CD 的中点，BE 和对角线 AC 交于点 F。四边形 AFED 的面积是 45，问 ABCD 的面积是多少？ 正确答案：B · 分值：1
用同分类同星级进入练习 →2018 AMC8 #24 · Geometry · ★★★★
In the cube ABCDEFGH with opposite vertices C and E, J and I are the midpoints of edges FB and HD, respectively. Let R be the ratio of the area of the cross-section EJCI to the area of one of the faces of the cube. What is R2? 在正方体 ABCDEFGH 中，顶点 C 和 E 相对，点 J 和点 I 分别是棱 FB 和 HD 的中点。R 表示横截面 EJCI 的面积和正方体的一个面的面积之比，求 R2。 正确答案：C · 分值：1
用同分类同星级进入练习 →2017 AMC8 #6 · Geometry · ★
If the degree measures of the angles of a triangle are in the ratio 3:3:4 , what is the degree measure of the largest angle of the triangle?
如果一个三角形的三个角度数之比为 3：3：4，那么这个三角形的最大的角是多少度？
正确答案：D · 分值：1
用同分类同星级进入练习 →2017 AMC8 #16 · Geometry · ★★★
In the figure below, choose point D on BC so that △ACD and △ABD have equal perimeters. What is the area of △ABD? 如下图所示，在 BC 上取点 D，使得 △ACD 和 △ABD 的周长相等。那么 △ABD 的面积是多少？ 正确答案：D · 分值：1
用同分类同星级进入练习 →2017 AMC8 #18 · Geometry · ★★★
In the non-convex quadrilateral ABCD shown below, ∠BCD is a right angle, AB=12 , BC=4 , CD=3 , and AD=13 . What is the area of quadrilateral ABCD ? 在如下图所示的非凸四边形 ABCD 中， AD=13.那么四边形 ABCD 的面积是多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2017 AMC8 #22 · Geometry · ★★★★
In the right triangle ABC , AC=12 , BC=5 , and angle C is a right angle. A semicircle is inscribed in the triangle as shown. What is the radius of the semicircle?
在直角三角形 ABC 中，AC=12，BC=5，且角 C 是个直角。一个半圆如下图所示内切于三角形中，那么这个半圆的半径是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →2017 AMC8 #25 · Geometry · ★★★★
In the figure shown, US and UT are line segments each of length 2, and m∠TUS=60∘. Arcs TR⌢ and SR⌢ are each one-sixth of a circle with radius 2. What is the area of the region shown? 如下图所示，US 和 UT 是两条长度都为 2 的线段，且 m∠TUS=60∘。弧 TR⌢ 和 SR⌢ 各是半径为 2 的圆的六分之一。那么图中所示区域的面积是多少？ 正确答案：B · 分值：1
用同分类同星级进入练习 →2016 AMC8 #2 · Geometry · ★
In rectangle ABCD , AB=6 and AD=8 . Point M is the midpoint of AD. What is the area of △AMC? 在矩形 ABCD 中，AB=6，AD=8，点 M 是
正确答案：A · 分值：1
用同分类同星级进入练习 →2016 AMC8 #22 · Geometry · ★★★★
Rectangle DEFA below is a 3×4 rectangle with DC=CB=BA=1 . What is the area of the "bat wings" (shaded region)? 正确答案：C · 分值：1
用同分类同星级进入练习 →2016 AMC8 #23 · Geometry · ★★★★
Two congruent circles centered at points A and B each pass through the other circle's center. The line containing both A and B is extended to intersect the circles at points C and D . The circles intersect at two points, one of which is E . What is the degree measure of ∠CED ? 两个圆心分别在点 A 和点 B 的全等圆各自通过对方的圆心。连接点 A 和点 B 的直线和这 2 个圆交于点 C 和点 D。这 2 个圆交于 2 个点，其中之一是点 E．那么的度数是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2016 AMC8 #25 · Geometry · ★★★★
A semicircle is inscribed in an isosceles triangle with base 16 and height 15 so that the diameter of the semicircle is contained in the base of the triangle as shown. What is the radius of the semicircle?
如图所示，一个底边为 16，高为 15 的等腰三角形内有一个半圆与两条腰相切，并且半圆的直径与三角形的底边重合，问这个半圆的半径是多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2015 AMC8 #2 · Geometry · ★★
Point O is the center of the regular octagon ABCDEFGH, and X is the midpoint of the side AB. What fraction of the area of the octagon is shaded? 点 O 是正八边形 ABCDEFGH 的中心，X 是边 AB 的中点。问在整个八边形面积中，图中阴影部分面积所占的比例是多少？ 正确答案：D · 分值：1
用同分类同星级进入练习 →2015 AMC8 #6 · Geometry · ★★
In △ABC , AB=BC=29 , and AC=42 . What is the area of △ABC ? 在 △ABC 中，AB=BC=29，AC=42。那么 △ABC 的面积是多少？ 正确答案：B · 分值：1
用同分类同星级进入练习 →2015 AMC8 #8 · Geometry · ★★★
What is the smallest whole number larger than the perimeter of any triangle with a side of length 5 and a side of length 19 ?
一个三角形的其中两条边长度分别是 5 和 19，那么大于这个三角形周长的最小整数是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →2015 AMC8 #12 · Geometry · ★★★
How many pairs of parallel edges, such as AB, and GH, or EH, and FG, does a cube have? Repeating parallel edges do not count toward the final answer. 在一个正方体中，有多少对平行的棱（例如 AB 和 GH，或者 EH 和 FG）？重复的平行棱不计入最终答案。 正确答案：C · 分值：1
用同分类同星级进入练习 →2015 AMC8 #19 · Geometry · ★★★
A triangle with vertices as A=(1,3) , B=(5,1) , and C=(4,4) is plotted on a 6×5 grid. What fraction of the grid is covered by the triangle? 三个顶点为 A＝(1,3)，B＝(5,1)，C＝（4,4）的三角形画在一张 6ｘ5 的方格纸上，这张方格纸上被三角形覆盖的面积所占总面积的比例是多少？
正确答案：A · 分值：1
用同分类同星级进入练习 →2015 AMC8 #21 · Geometry · ★★★★
In the given figure hexagon ABCDEF is equiangular, ABJI and FEHG are squares with areas 18 and 32 respectively, △JBK is equilateral and FE=BC . What is the area of △KBC? 如图所示，六边形 ABCDEF 是个等角六边形，ABJI 和 FEHG 是面积分别为 18 和 32 的正方形。
是等边三角形，且 FE=BC，则的面积是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2015 AMC8 #25 · Geometry · ★★★★
One-inch squares are cut from the corners of this 5 inch square. What is the area in square inches of the largest square that can fit into the remaining space?
从边长为 5 英寸的大正方形的四个角落裁去 4 个边长为 1 英寸的小正方形，则能够放入剩余图形中的最大正方形的面积是多少平方英寸？
正确答案：C · 分值：1
用同分类同星级进入练习 →2014 AMC8 #9 · Geometry · ★★
In △ABC, D is a point on side AC such that BD=DC and ∠BCD measures 70∘. What is the degree measure of ∠ADB? 在 △ABC 中，D 是边 AC 上一点，使得 BD=DC，且 ∠BCD=70∘。那么 ∠ADB 的度数是多少？ 正确答案：D · 分值：1
用同分类同星级进入练习 →2014 AMC8 #14 · Geometry · ★★★
Rectangle ABCD and right triangle DCE have the same area. They are joined to form a trapezoid, as shown. What is DE ?
矩形 ABCD 和直角三角形 DCE 的面积相同。他们拼起来形成了一个梯形，如下图所示。那么 DE 的长度是多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2014 AMC8 #15 · Geometry · ★★★
The circumference of the circle with center O is divided into 12 equal arcs, marked the letters A through L as seen below. What is the number of degrees in the sum of the angles x and y ?
如下图所示，圆心为 O 的圆被分成 12 个相等的圆弧，由字母 A 到 L 标识。那么角 x 和角 y 的度数之和是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2014 AMC8 #19 · Geometry · ★★★
A cube with 3-inch edges is to be constructed from 27 smaller cubes with 1-inch edges. Twenty-one of the cubes are colored red and 6 are colored white. If the 3-inch cube is constructed to have the smallest possible white surface area showing, what fraction of the surface area is white?
一个边长为 3 英寸的大正方体是由 27 个边长为 1 英寸的小正方体组成的。其中 21 个小正方体是红色的，6 个是白色的。若要求大的正方体的表面积中白色部分越少越好，那么表面积的白色部分所占总表面积的比例是多少？
正确答案：A · 分值：1
用同分类同星级进入练习 →2014 AMC8 #20 · Geometry · ★★★
Rectangle ABCD has sides CD=3 and DA=5 . A circle with a radius of 1 is centered at A , a circle with a radius of 2 is centered at B , and a circle with a radius of 3 is centered at C . Which of the following is closest to the area of the region inside the rectangle but outside all three circles?
长方形 ABCD 的边长 CD＝3，DA＝5．圆 A 的半径为 1，圆 B 的半径为 2，圆 C 的半径为
3．那么在长方形内部但在三个圆外部的区域的面积最接近下面哪个数？
正确答案：B · 分值：1
用同分类同星级进入练习 →2014 AMC8 #25 · Geometry · ★★★★
A straight one-mile stretch of highway, 40 feet wide, is closed. Robert rides his bike on a path composed of semicircles as shown. If he rides at 5 miles per hour, how many hours will it take to cover the one-mile stretch? Note: 1 mile = 5280 feet
一段长为 1 英里，宽 40 英尺的高速公路被关闭了。Robert 沿着如下图中由一系列半圆组成的路径骑着自行车。若他骑车的速度是 5 英里每小时，那么走过这段 1 英里的高速公路需要多少小时？
注意：1 英里＝5280 英尺
正确答案：B · 分值：1
用同分类同星级进入练习 →2013 AMC8 #18 · Geometry · ★★★
Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?
Isabella 使用一些边长为 1 英尺的正方体砖块来建造一个长为 12 英尺，宽 10 英尺，高 5 英尺的堡垒。堡垒的地板和 4 堵墙的厚度都是 1 英尺。那么这个堡垒需要多少块砖块？
正确答案：B · 分值：1
用同分类同星级进入练习 →2013 AMC8 #20 · Geometry · ★★★
A1×2 rectangle is inscribed in a semicircle with longer side on the diameter. What is the area of the semicircle? 一个 1ｘ2 的矩形内接在一个半圆内，矩形的长边和圆的直径重合。那么这个半圆的面积是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2013 AMC8 #23 · Geometry · ★★★★
Angle ABC of △ABC is a right angle. The sides of △ABC are the diameters of semicircles as shown. The area of the semicircle on AB equals 8π, and the arc of the semicircle on AC has length 8.5π. What is the radius of the semicircle on BC? 在内，∠ABC 是一个直角。
的三条边是如图所示的三个半圆的直径。
上的半圆面积是 8π，边上的半圆弧长为 8.5π．那么边上的半圆的半径是多少？
边
正确答案：B · 分值：1
用同分类同星级进入练习 →2013 AMC8 #24 · Geometry · ★★★★
Squares ABCD , EFGH , and GHIJ are equal in area. Points C and D are the midpoints of sides IH and HE , respectively. What is the ratio of the area of the shaded pentagon AJICB to the sum of the areas of the three squares?
正方形 ABCD，EFGH 和 GHIJ 的面积都相等。点 C 和点 D 分别是边 IH 和 HE 的中点。那么阴影部分五边形 AJICB 的面积和三个正方形面积总和的比值是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2013 AMC8 #25 · Geometry · ★★★★
A ball with diameter 4 inches starts at point A to roll along the track shown. The track is comprised of 3 semicircular arcs whose radii are R_1 = 100 inches, R_2 = 60 inches, and R_3 = 80 inches, respectively. The ball always remains in contact with the track and does not slip. What is the distance the center of the ball travels over the course from A to B?
直径为 4 英寸的球从 A 开始沿着图示轨道滚动。轨道由 3 段半圆弧组成，半径分别为 R1=100 英寸，R2=60 英寸，R3=80 英寸。球全程都和轨道紧密接触，并且不会滑动。那么当球从 A 滚到 B，球心所经过的路程是多少英寸？
正确答案：A · 分值：1
用同分类同星级进入练习 →2012 AMC8 #5 · Geometry · ★★
In the diagram, all angles are right angles and the lengths of the sides are given in centimeters. Note that the diagram is not drawn to scale. What is the length of X , in centimeters?
如下图所示，所有的角都是直角，并且边长都是以厘米为单位。注意图形没有按比例给出。
那么 X 代表的长度是多少厘米？
正确答案：E · 分值：1
用同分类同星级进入练习 →2012 AMC8 #6 · Geometry · ★
A rectangular photograph is placed in a frame that forms a border two inches wide on all sides of the photograph. The photograph measures 8 inches high and 10 inches wide. What is the area of the border, in square inches?
一张长方形的照片被放置在一个框架中，框架在照片的四周形成一个两英寸宽的边界。这张照片高 8 英寸，宽 10 英寸。边界的面积是多少平方英寸？
正确答案：E · 分值：1
用同分类同星级进入练习 →2012 AMC8 #17 · Geometry · ★★★
A square with integer side length is cut into 10 squares, all of which have integer side length and at least 8 of which have area 1. What is the smallest possible value of the length of the side of the original square?
一个边长为整数的正方形被分割成 10 个小正方形，这些小正方形的边长也都是整数，并且至少有 8 个面积为 1．那么原来大正方形的边长的最小值是多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2012 AMC8 #21 · Geometry · ★★★
Marla has a large white cube that has an edge of 10 feet. She also has enough green paint to cover 300 square feet. Marla uses all the paint to create a white square centered on each face, surrounded by a green border. What is the area of one of the white squares, in square feet?
Marla 有一个边长为 10 英尺的大的白色正方体。她同时还有能够粉刷 300 平方英尺的绿漆。
Marla 使用了全部的绿漆，将白色正方体涂成了这样的一个正方体：正方体的每个面的中央都有一个白色正方形，四周被绿边围绕。那么其中一个面上的白色正方形的面积是多少平方英尺？
正确答案：D · 分值：1
用同分类同星级进入练习 →2012 AMC8 #23 · Geometry · ★★★★
An equilateral triangle and a regular hexagon have equal perimeters. If the triangle's area is 4, what is the area of the hexagon?
一个等边三角形和一个正六边形的周长相等。若三角形的面积是 4，那么六边形的面积是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2012 AMC8 #24 · Geometry · ★★★★
A circle of radius 2 is cut into four congruent arcs. The four arcs are joined to form the star figure shown. What is the ratio of the area of the star figure to the area of the original circle?
半径为 2 的圆被分割成 4 段相等的弧，这 4 段弧拼接成如图所示的星型。那么这个星型的面积和原来圆的面积的比值是多少？
正确答案：A · 分值：1
用同分类同星级进入练习 →2012 AMC8 #25 · Geometry · ★★★★
A square with area 4 is inscribed in a square with area 5, with one vertex of the smaller square on each side of the larger square. A vertex of the smaller square divides a side of the larger square into two segments, one of length a , and the other of length b . What is the value of ab ?
一个面积为 4 的正方形内接在一个面积为 5 的正方形内，小正方形的每个顶点分别落在大正方形的每条边上。小正方形的某个顶点将大正方形的一条边分成了 2 条线段，长度分别是 a 和 b，那么 ab 的值是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2011 AMC8 #2 · Geometry · ★
Karl's rectangular vegetable garden is 20 feet by 45 feet, and Makenna's is 25 feet by 40 feet. Whose garden is larger in area?
Karl 的长方形蔬菜园的尺寸是 20 英尺ｘ45 英尺，Makenna 的菜园是 25 英尺ｘ40 英尺。下面哪句话是对的？
正确答案：E · 分值：1
用同分类同星级进入练习 →2011 AMC8 #3 · Geometry · ★★
Extend the square pattern of 8 black and 17 white square tiles by attaching a border of black tiles around the square. What is the ratio of black tiles to white tiles in the extended pattern?
把下图所示的有 8 块黑色和 17 块白色方形瓷砖组成的正方形图案，通过围绕着这个大正方形的外周贴一圈黑色的瓷砖而进行拓展。那么拓展后的图形中，黑色瓷砖和白色瓷砖的个数的比值是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →2011 AMC8 #7 · Geometry · ★★
Each of the following four large congruent squares is subdivided into combinations of congruent triangles or rectangles and is partially bolded. What percent of the total area is partially bolded?
下面 4 个大的全等正方形，每个都被分成几个全等的三角形或者矩形，并且一部分用粗体表示。那么粗体部分的面积占了总面积的百分之多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2011 AMC8 #13 · Geometry · ★★★
Two congruent squares, ABCD and PQRS , have side length 15 . They overlap to form the 15 by 25 rectangle AQRD shown. What percent of the area of rectangle AQRD is shaded?
ABCD 和 PQRS 是两个全等的正方形，边长均为 15.它们重合形成一个 15ｘ25 的矩形 AQRD，如图所示。那么阴影部分占了矩形 AQRD 面积的百分之多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2011 AMC8 #16 · Geometry · ★★★
Let A be the area of the triangle with sides of length 25, 25 , and 30 . Let B be the area of the triangle with sides of length 25, 25, and 40 . What is the relationship between A and B ? A 表示边长为 25，25，30 的三角形的面积，B 表示边长为 25，25，40 的三角形的面积，那么 A 和 B 的关系是什么？
正确答案：C · 分值：1
用同分类同星级进入练习 →2011 AMC8 #20 · Geometry · ★★★
Quadrilateral ABCD is a trapezoid, AD = 15 , AB = 50 , BC = 20 , and the altitude is 12 . What is the area of the trapezoid?
四边形 ABCD 是个梯形，其中 AD＝15，AB＝50，BC＝20，且高为 12.那么这个梯形的面积是多少?
正确答案：D · 分值：1
用同分类同星级进入练习 →2011 AMC8 #25 · Geometry · ★★★★
A circle with radius 1 is inscribed in a square and circumscribed about another square as shown. Which fraction is closest to the ratio of the circle's shaded area to the area between the two squares?
一个半径为 1 的圆内切于一个正方形中，并且外接于另一个正方形，如图所示。那么圆的阴影部分的面积和两个正方形之间的面积的比值最接近下面哪个分数？
正确答案：A · 分值：1
用同分类同星级进入练习 →2010 AMC8 #6 · Geometry · ★
Which of the following figures has the greatest number of lines of symmetry?
正确答案：E · 分值：1
用同分类同星级进入练习 →2010 AMC8 #10 · Geometry · ★★
Six pepperoni circles will exactly fit across the diameter of a 12 -inch pizza when placed. If a total of 24 circles of pepperoni are placed on this pizza without overlap, what fraction of the pizza is covered by pepperoni?
当把 6 个意大利香肠圈放在一个 12 英寸的比萨饼上时，正好可以穿过比萨饼的直径。若把 24 个意大利香肠圈没有重叠的放在这块比萨饼上，那么整块比萨饼被意大利香肠圈覆盖的比例是多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2010 AMC8 #16 · Geometry · ★★★
A square and a circle have the same area. What is the ratio of the side length of the square to the radius of the circle?
一个正方形和一个圆有相同的面积。那么正方形的边长和圆的半径的比值是多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2010 AMC8 #17 · Geometry · ★★★
The diagram shows an octagon consisting of 10 unit squares. The portion below PQ is a unit square and a triangle with base 5 . If PQ bisects the area of the octagon, what is the ratio QYXQ? 下图是一个由 10 个单位正方形组成的八边形。PQ 下方的部分是一个单位正方形和一个底边长为 5 的三角形。若 PQ 平分八边形的面积，那么 QYXQ 的比值是多少？ 正确答案：D · 分值：1
用同分类同星级进入练习 →2010 AMC8 #18 · Geometry · ★★★
A decorative window is made up of a rectangle with semicircles on either end. The ratio of AD to AB is 3:2 , and AB is 30 inches. What is the ratio of the area of the rectangle to the combined areas of the semicircles?
一种装饰性窗户是由一个矩形和位于两端的半圆组成。已知 AD：AB＝3：2，AB 长为 30 英寸，那么矩形的面积和两个半圆面积之和的比值是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2010 AMC8 #19 · Geometry · ★★★
The two circles pictured have the same center C . Chord AD is tangent to the inner circle at B , AC is 10 , and chord AD has length 16 . What is the area between the two circles? 下图中的两个圆是同心圆，圆心都是 C。弦 AD 与内圆切于 B，AC 长为 10，弦 AD 长为 16。那么这两个圆之间区域的面积是多少？ 正确答案：C · 分值：1
用同分类同星级进入练习 →2010 AMC8 #23 · Geometry · ★★★★
Semicircles POQ and ROS pass through the center of circle O . What is the ratio of the combined areas of the two semicircles to the area of circle O ?
半圆 POQ 和 ROS 通过圆 的圆心。则这两个半圆的面积总和与圆 的面积的比值是多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2009 AMC8 #4 · Geometry · ★★
The five pieces shown below can be arranged to form four of the five figures shown in the choices. Which figure cannot be formed?
下面所示的 5 个图形可以重新组合成 5 个选项里其中 4 个图形。那么哪个选项里的图形无法形成？
正确答案：B · 分值：1
用同分类同星级进入练习 →2009 AMC8 #7 · Geometry · ★★
The triangular plot of ACD lies between Aspen Road, Brown Road and a railroad. Main Street runs east and west, and the railroad runs north and south. The numbers in the diagram indicate distances in miles. The width of the railroad track can be ignored. How many square miles are in the plot of land ACD?
三角形 ACD 区城处于 Aspen 公路，Brown 公路和一条铁路之间。Main 街道是东西向，铁路是南北向。图中的数字表示以英里为单位的距离。铁路轨道的宽度可以忽略。那么区域 ACD 的面积是多少平方英里？
正确答案：C · 分值：1
用同分类同星级进入练习 →2009 AMC8 #9 · Geometry · ★★
Construct a square on one side of an equilateral triangle. On one non-adjacent side of the square, construct a regular pentagon, as shown. On a non-adjacent side of the pentagon, construct a hexagon. Continue to construct regular polygons in the same way, until you construct an octagon. How many sides does the resulting polygon have?
在一个等边三角形的一边上作一个正方形，然后在此正方形的另一条非相邻边上作一个正五边形，如下图所示。再在此五边形的一条非相邻边上作一个六边形。按照这种方法不断作出正多边形，直到作出一个八边形。那么最终形成的多边形有多少条边？
正确答案：B · 分值：1
用同分类同星级进入练习 →2009 AMC8 #19 · Geometry · ★★★
Two angles of an isosceles triangle measure 70∘ and x∘ . What is the sum of the three possible values of x ? 一个等腰三角形其中两个角的度数是 70°和 x°。那么 的 3 个可能值之和是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →2009 AMC8 #20 · Geometry · ★★★
How many non-congruent triangles have vertices at three of the eight points in the array shown below?
以下图所示阵列 8 个，点中的 3 个为顶点，可以形成多少个不全等的三角形？
正确答案：D · 分值：1
用同分类同星级进入练习 →2009 AMC8 #25 · Geometry · ★★★★
A one-cubic-foot cube is cut into four pieces by three cuts parallel to the top face of the cube. The first cut is 1/2 foot from the top face. The second cut is 1/3 foot below the first cut, and the third cut is 1/17 foot below the second cut. From the top to the bottom the pieces are labeled A, B, C, and D. The pieces are then glued together end to end as shown in the second diagram. What is the total surface area of this solid in square feet?
一个 1 立方英尺的正方体被平行于立方体顶面的三个切口切成四块。第一个切口距离顶面 英尺。第二个切口比第一个切口低 英尺，第三个切口比第二个切口低 英尺。从上到下，切出的这 4 块立体图形被标记为 A、B、C 和 D。接着这 4 块立体图形被一个接一个地粘合在一起，如第二张图所示。那么新形成的立体图形的总表面积是多少平方英尺？
正确答案：E · 分值：1
用同分类同星级进入练习 →2008 AMC8 #4 · Geometry · ★
In the figure, the outer equilateral triangle has area 16 , the inner equilateral triangle has area 1 , and the three trapezoids are congruent. What is the area of one of the trapezoids?
下图所示的四形中，外层等边三角形的面积为 16，内部边三角形的面积为 1，三个梯形都是全等的，那么其中一个梯形的面积是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2008 AMC8 #6 · Geometry · ★★
In the figure, what is the ratio of the area of the gray squares to the area of the white squares?
如下图所示，灰色正方形的面积和白色正方形的面积的比值是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →2008 AMC8 #16 · Geometry · ★★★
A shape is created by joining seven unit cubes, as shown. What is the ratio of the volume in cubic units to the surface area in square units?
如图所示，把 7 个单位正方体连接形成如下的立体图形。那么这个立体图形的体积和表面积的比值是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →2008 AMC8 #17 · Geometry · ★★★
Ms.Osborne asks each student in her class to draw a rectangle with integer side lengths and a perimeter of 50 units. All of her students calculate the area of the rectangle they draw. What is the difference between the largest and smallest possible areas of the rectangles?
Osborne 女士要求班级里的每一个学生都画一个周长为 50，且每条边长度都是整数的矩形。每个学生都计算了自己所画矩形的面积。那么这些矩形中，最大可能的面积和最小可能的面积的差是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →2008 AMC8 #18 · Geometry · ★★★
Two circles that share the same center have radii 10 meters and 20 meters. An aardvark runs along the path shown, starting at A and ending at K . How many meters does the aardvark run?
两个同心圆的半径分别是 10 米和 20 米。一个土豚沿着图示路径运动，从 A 点开始到 K 点结束。则土豚总共运动了多少米？
正确答案：E · 分值：1
用同分类同星级进入练习 →2008 AMC8 #21 · Geometry · ★★★★
Jerry cuts a wedge from a 6 -cm cylinder of bologna as shown by the dashed curve. Which answer choice is closest to the volume of his wedge in cubic centimeters?
如图中虚线所示，Jery 从某个 6 厘米长的博洛尼亚圆柱上切下一个楔子。下面哪一个选项的答案最接近他的楔子的体积（单位：立方厘米）？
正确答案：C · 分值：1
用同分类同星级进入练习 →2008 AMC8 #23 · Geometry · ★★★★
In square ABCE , AF=2FE and CD=2DE . What is the ratio of the area of △BFD to the area of square ABCE ? 在正方形 ABCE 中，AF＝2FE，CD＝2DE，那么△BPD 的面积和正方形 ABCE 的面积的比值是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2008 AMC8 #25 · Geometry · ★★★★
Margie's winning art design is shown. The smallest circle has radius 2 inches, with each successive circle's radius increasing by 2 inches. Which of the following is closest to the percent of the design that is black?
下图展示了 Margie 获奖的艺术设计作品。最小的圆的半径为 2 英寸，每个连续圆的半径增加 2 英寸。以下哪项最接近黑色图案占整个图案的百分比？
正确答案：A · 分值：1
用同分类同星级进入练习 →2007 AMC8 #8 · Geometry · ★★
In trapezoid ABCD , AD is perpendicular to DC, AD = AB = 3 , and DC = 6 . In addition, E is on DC, and BE is parallel to AD. Find the area of △BEC. 在梯形 ABCD 中，线段 AD 和线段 DC 垂直，AD＝AB＝3，DC＝6。另外，E 在线段 DC 上，BE 平行于 AD。求△BEC 的面积。
正确答案：B · 分值：1
用同分类同星级进入练习 →2007 AMC8 #12 · Geometry · ★★★
A unit hexagram is composed of a regular hexagon of side length 1 and its 6 equilateral triangular extensions, as shown in the diagram. What is the ratio of the area of the extensions to the area of the original hexagon?
一个单位六角星由一个边长为 1 的正六边形及其 6 个等边三角形形状的凸出部分组成，如图所示。则凸出部分的总面积与原来六边形的面积之比是多少？
正确答案：A · 分值：1
用同分类同星级进入练习 →2007 AMC8 #14 · Geometry · ★★★
The base of isosceles △ABC is 24 and its area is 60 . What is the length of one of the congruent sides? 等腰三角形△ABC 的底是 24，面积为 60。那么它的一条腰长是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2007 AMC8 #22 · Geometry · ★★★★★
A lemming sits at a corner of a square with side length 10 meters. The lemming runs 6.2 meters along a diagonal toward the opposite corner. It stops, makes a 90∘ right turn and runs 2 more meters. A scientist measures the shortest distance between the lemming and each side of the square. What is the average of these four distances in meters? 一只旅鼠坐在一个边长为 10 米的正方形的某个角落里。旅鼠沿着对角线朝对面的角落跑了 6.2 米，然后停下来，右转 90 度，又继续跑了 2 米。一位科学家测量了旅鼠和正方形各边之间的最短距离。这四段距离的平均值是多少米？
正确答案：C · 分值：1
用同分类同星级进入练习 →2007 AMC8 #23 · Geometry · ★★★
What is the area of the shaded pinwheel shown in the 5×5 grid? 正确答案：B · 分值：1
用同分类同星级进入练习 →2006 AMC8 #4 · Geometry · ★★
Initially, a spinner points west. Chenille moves it clockwise 241 revolutions and then counterclockwise 343 revolutions. In what direction does the spinner point after the two moves? 最初，转盘的箭头指向西边。Chenille 将它顺时针旋转 241 圈，再逆时针旋转 343 圈。两次转动后，箭头指向哪个方向？ 正确答案：B · 分值：1
用同分类同星级进入练习 →2006 AMC8 #5 · Geometry · ★★
Points A, B, C and D are midpoints of the sides of the larger square. If the larger square has area 60, what is the area of the smaller square?
点 A，B，C 和 D 是一个大正方形的各边的中点。若大正方形的面积为 60，那么小正方形的面积是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →2006 AMC8 #6 · Geometry · ★
The letter T is formed by placing two 2×4 inch rectangles next to each other, as shown. What is the perimeter of the T, in inches? 将两个 2×4 英寸的矩形相邻放置，形成下图所示的 T 字形。那么这个 T 字形的周长是多少英寸？
正确答案：C · 分值：1
用同分类同星级进入练习 →2006 AMC8 #7 · Geometry · ★★
Circle X has a radius of π. Circle Y has a circumference of 8π. Circle Z has an area of 9π. List the circles in order from smallest to largest radius. 圆 X 的半径是 π，圆 Y 的周长是 8π，圆 Z 的面积是 9π。将这三个圆按半径从小到大排序，正确的是？ 正确答案：B · 分值：1
用同分类同星级进入练习 →2006 AMC8 #18 · Geometry · ★★★
A cube with 3-inch edges is made using 27 cubes with 1-inch edges. Nineteen of the smaller cubes are white and eight are black. If the eight black cubes are placed at the corners of the larger cube, what fraction of the surface area of the larger cube is white?
一个边长为 3 英寸的正方体是由 27 个边长为 1 英寸的正方体组成的。其中 19 个小正方体为白色，8 个是黑色。若这 8 个黑色正方体放在大的正方体的 8 个角落，那么大正方体的表面积中，白色部分的比例是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →2006 AMC8 #19 · Geometry · ★★★
Triangle ABC is an isosceles triangle with AB=BC. Point D is the midpoint of both BC and AE, and CE is 11 units long. Triangle ABD is congruent to triangle ECD . What is the length of BD? 三角形 ABC 是个等腰三角形，。点 D 是线段的中点，同时也是线段的中点。
线段长度为 11 个单位。三角形 ABD 和三角形 ECD 全等的，则的长度是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →2006 AMC8 #21 · Geometry · ★★★
An aquarium has a rectangular base that measures 100 cm by 40 cm and has a height of 50 cm. The aquarium is filled with water to a depth of 37 cm. A rock with volume 1000cm3 is then placed in the aquarium and completely submerged. By how many centimeters does the water level rise? 一个鱼缸有一个尺寸为 100 厘米ｘ40 厘米的长方形底座，鱼缸高为 50 厘米。鱼缸里水深 37 厘米。将一块体积为 1000 立方厘米的石头放入鱼缸并完全浸没。问水位上升了多少厘米？
正确答案：A · 分值：1
用同分类同星级进入练习 →2005 AMC8 #3 · Geometry · ★★
What is the minimum number of small squares that must be colored black so that a line of symmetry lies on the diagonal BD of square ABCD ? 要使正方形 ABCD 的一条对称轴落在对角线 BD 上，至少需要把多少个小正方形涂成黑色？ 正确答案：D · 分值：1
用同分类同星级进入练习 →2005 AMC8 #4 · Geometry · ★
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1 cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?
一个正方形和一个三角形的周长相等。三角形的三条边长分别是 6.1cm，8.2cm 和 9.7cm。那么正方形的面积是多少平方厘米？
正确答案：C · 分值：1
用同分类同星级进入练习 →2005 AMC8 #7 · Geometry · ★★
Bill walks 21 mile south, then 43 mile east, and finally 21 mile south. How many miles is he, in a direct line, from his starting point? Bill 先向南行走 英里，然后向东行走 英里，最后向南行走 英里。那么他现在距离起点的直线距离是多少英里？
正确答案：B · 分值：1
用同分类同星级进入练习 →2005 AMC8 #9 · Geometry · ★★
In quadrilateral ABCD , sides AB and BC both have length 10, sides CD and DA both have length 17, and the measure of angle ADC is 60∘. What is the length of diagonal AC? 四边形 ABCD 中，边 AB 和 BC 的长度都是 10，边 CD 和 DA 的长度都是 17，且 ∠ADC=60∘。那么对角线 AC 的长度是多少？ 正确答案：D · 分值：1
用同分类同星级进入练习 →2005 AMC8 #13 · Geometry · ★★★
The area of polygon ABCDEF is 52 with AB=8 , BC=9 and FA=5 . What is DE+EF ?
多边形 ABCDEF 的面积是 52，其中 AB=8，BC=9，FA= 5。则 DE + EF 是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2005 AMC8 #15 · Geometry · ★★★
How many different isosceles triangles have integer side lengths and perimeter 23?
有多少个不同的等腰三角形，满足各边长度均为整数，且周长为 23?
正确答案：C · 分值：1
用同分类同星级进入练习 →2005 AMC8 #19 · Geometry · ★★★
What is the perimeter of trapezoid ABCD ?
正确答案：A · 分值：1
用同分类同星级进入练习 →2005 AMC8 #23 · Geometry · ★★★★
Isosceles right triangle ABC encloses a semicircle of area 2π. The circle has its center O on hypotenuse AB and is tangent to sides AC and BC. What is the area of triangle ABC ? 等腰直角三角形 ABC 内含一个面积为 2π 的半圆。该半圆圆心 O 在斜边 AB 上，且与边 AC 和 BC 相切。那么三角形 ABC 的面积是多少？ 正确答案：B · 分值：1
用同分类同星级进入练习 →2005 AMC8 #25 · Geometry · ★★★★
A square with side length 2.0 and a circle share the same center. The total area of the regions that are inside the circle and outside the square is equal to the total area of the regions that are outside the circle and inside the square. What is the radius of the circle?
一个边长为 2 的正方形和一个圆，两者中心重合。位于圆内且在正方形之外的区域的面积，等于位于圆外且在正方形之内的区域的面积。那么圆的半径是多少？
正确答案：A · 分值：1
用同分类同星级进入练习 →2004 AMC8 #14 · Geometry · ★★★
What is the area enclosed by the geoboard quadrilateral below?
正确答案：C · 分值：1
用同分类同星级进入练习 →2004 AMC8 #15 · Geometry · ★★★
Thirteen black and six white hexagonal tiles were used to create the figure below. If a new figure is created by attaching a border of white tiles with the same size and shape as the others, what will be the difference between the total number of white tiles and the total number of black tiles in the new figure?
下图是由 13 块黑色瓷砖和 6 块白色瓷砖构成。若用同样大小和形状的若干块白色瓷砖在原来图形最外层再围成一圈，那么所形成的的新图形中，白色瓷砖的总个数和黑色瓷砖的总个数的差是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2004 AMC8 #24 · Geometry · ★★★★
In the figure, ABCD is a rectangle and EFGH is a parallelogram. Using the measurements given in the figure, what is the length d of the segment that is perpendicular to HE and FG ? 如下图所示，ABCD 是个矩形，EFGH 是个平行四边形。使用图中所标线段的长度，则同时垂直于和的线段长度 d 是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2004 AMC8 #25 · Geometry · ★★★★
Two 4×4 squares intersect at right angles, bisecting their intersecting sides, as shown. The circle's diameter is the segment between the two points of intersection. What is the area of the shaded region created by removing the circle from the squares? 如图所示，两个 4ｘ4 正方形以直角相交，将其相交的边平分。圆的直径是两个交点之间的线段。从正方形中去除圆之后所得到的阴影部分的面积是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →2003 AMC8 #1 · Geometry · ★
Jamie counted the number of edges of a cube, Jimmy counted the numbers of corners, and Judy counted the number of faces. They then added the three numbers. What was the resulting sum?
Jamie 数了一个正方体的边数，Jimmy 数了它的顶点数，Judy 数了它的面数。然后他们把这三个数字相加。结果是多少？
正确答案：E · 分值：1
用同分类同星级进入练习 →2003 AMC8 #6 · Geometry · ★★
Given the areas of the three squares in the figure, what is the area of the interior triangle?
已知图中三个正方形的面积，求中间位置的三角形的面积是多少？
正确答案：B · 分值：1
用同分类同星级进入练习 →2003 AMC8 #13 · Geometry · ★★★
Fourteen white cubes are put together to form the figure on the right. The complete surface of the figure, including the bottom, is painted red. The figure is then separated into individual cubes. How many of the individual cubes have exactly four red faces
14 个白色正方体被放在一起形成右边的图形。图形的整个表面（包括底部）被涂成红色。接着将图形分割为各个正方体。有多少个正方体正好有四个红色的面？
正确答案：B · 分值：1
用同分类同星级进入练习 →2003 AMC8 #15 · Geometry · ★★★
A figure is constructed from unit cubes. Each cube shares at least one face with another cube. What is the minimum number of cubes needed to build a figure with the front and side views shown?
一种图形是由若干个单位正方体组成。每个正方体都和其他正方体共用至少一个面。这个图形的正视图和侧视图如下图所示，则这个图形最少是由多少个正方体组成？
FRONT | 正面
SIDE | 侧面
正确答案：B · 分值：1
用同分类同星级进入练习 →2003 AMC8 #20 · Geometry · ★★★
What is the measure of the acute angle formed by the hands of the clock at 4:20 PM?
下午 4:20 时，钟面上时针和分针所形成的的锐角是多少度？
正确答案：D · 分值：1
用同分类同星级进入练习 →2003 AMC8 #21 · Geometry · ★★★★
The area of trapezoid ABCD is 164 cm2 . The altitude is 8 cm, AB is 10 cm, and CD is 17 cm. What is BC , in centimeters? 梯形 ABCD 的面积是 164 平方厘米，高为 8 厘米，AB 的长为 10 厘米，CD 的长为 17 厘米。则 BC 的长为多少厘米?
正确答案：B · 分值：1
用同分类同星级进入练习 →2003 AMC8 #22 · Geometry · ★★★
The following figures are composed of squares and circles. Which figure has a shaded region with largest area?
下图是由正方形和圆组成的图形。哪个图形的阴影部分的面积最大？
正确答案：C · 分值：1
用同分类同星级进入练习 →2003 AMC8 #25 · Geometry · ★★★★
In the figure, the area of square WXYZ is 25 cm2 . The four smaller squares have sides 1 cm long, either parallel to or coinciding with the sides of the large square. In △ABC , AB = AC , and when △ABC is folded over side BC , point A coincides with O , the center of square WXYZ . What is the area of △ABC , in square centimeters? 在下图中，正方形 WXYZ 的面积为 25 平方厘米。四个小正方形边长为 1 厘米，它们的各边与大正方形的边平行或重合。在中，，若将沿着边折叠，则点 A 和正方形的中心 重合。那么的面积是多少平方厘米？
正确答案：C · 分值：1
用同分类同星级进入练习 →2002 AMC8 #1 · Geometry · ★★
A circle and two distinct lines are drawn on a sheet of paper. What is the largest possible number of points of intersection of these figures?
在一张纸上画了一个圆和 2 条不同的直线，则这些图形的交点最多有多少个？
正确答案：D · 分值：1
用同分类同星级进入练习 →2002 AMC8 #13 · Geometry · ★★★
For his birthday, Bert gets a box that holds 125 jellybeans when filled to capacity. A few weeks later, Carrie gets a larger box full of jellybeans. Her box is twice as high, twice as wide and twice as long as Bert's. Approximately, how many jellybeans did Carrie get?
Bert 的生日礼物是一个装满 125 颗果冻豆的盒子。几周后，Carrie 得到了一个更大的装满果冻豆的盒子。她的箱子是 Bert 的两倍高、两倍宽、两倍长。那么 Carrie 大概得到了多少颗果冻豆？
正确答案：E · 分值：1
用同分类同星级进入练习 →2002 AMC8 #15 · Geometry · ★★★
Which of the following polygons has the largest area?
正确答案：E · 分值：1
用同分类同星级进入练习 →2002 AMC8 #16 · Geometry · ★★★
Right isosceles triangles are constructed on the sides of a right triangle, as shown. A capital letter represents the area of each triangle. Which one of the following is true?
如下图所示，在 3-4-5 直角三角形的三条边上作出三个等腰直角三角形。大写字母表示每个三角形的面积。下面哪个是正确的？
正确答案：E · 分值：1
用同分类同星级进入练习 →2002 AMC8 #20 · Geometry · ★★★
The area of triangle XYZ is 8 square inches. Points A and B are midpoints of congruent segments XY and XZ . Altitude XC bisects YZ . The area (in square inches) of the shaded region is 三角形 XYZ 的面积是 8 平方英寸。点 A 和点 B 分别是两条相等线段 XY 和 XZ 的中点，高 XC 平分 YZ。那么阴影部分的面积是多少平方英寸？ 正确答案：D · 分值：1
用同分类同星级进入练习 →2002 AMC8 #22 · Geometry · ★★★
Six cubes, each an inch on an edge, are fastened together, as shown. Find the total surface area in square inches. Include the top, bottom, and sides.
如下图所示，6 个边长为 1 的正方体被粘在一起。请求出这个立体的总表面积，包含顶面，底面和侧面（单位：平方英寸）。
正确答案：C · 分值：1
用同分类同星级进入练习 →2002 AMC8 #23 · Geometry · ★★★
A corner of a tiled floor is shown. If the entire floor is tiled in this way and each of the four corners looks like this one, then what fraction of the tiled floor is made of darker tiles?
图中显示了铺了瓷砖的地板的一个角。如果整个地板都是用这种方式铺成的，并且四个角中的每一个都和这个角一样，那么整个地板中有多少比例是用深色瓷砖铺成的？
正确答案：B · 分值：1
用同分类同星级进入练习 →2001 AMC8 #7 · Geometry · ★★
To promote her school's annual Kite Olympics, Genevieve makes a small kite and a large kite for a bulletin board display. The kites look like the one in the diagram. For her small kite Genevieve draws the kite on a one-inch grid. For the large kite she triples both the height and width of the entire grid.
What is the number of square inches in the area of the small kite?
正确答案：A · 分值：1
用同分类同星级进入练习 →2001 AMC8 #8 · Geometry · ★★
To promote her school's annual Kite Olympics, Genevieve makes a small kite and a large kite for a bulletin board display. The kites look like the one in the diagram. For her small kite Genevieve draws the kite on a one-inch grid. For the large kite she triples both the height and width of the entire grid.
Genevieve puts bracing on her large kite in the form of a cross connecting opposite corners of the kite. How many inches of bracing material does she need?
Genevieve 给大风筝制作了一个十字形的支架，支架即为风筝的两条对角线。她需要多少英寸的支架材料？
正确答案：E · 分值：1
用同分类同星级进入练习 →2001 AMC8 #9 · Geometry · ★★
To promote her school's annual Kite Olympics, Genevieve makes a small kite and a large kite for a bulletin board display. The kites look like the one in the diagram. For her small kite Genevieve draws the kite on a one-inch grid. For the large kite she triples both the height and width of the entire grid.
The large kite is covered with gold foil. The foil is cut from a rectangular piece that just covers the entire grid. How many square inches of waste material are cut off from the four corners?
大风筝由一层金箔覆盖。箔材是从一张矩形金箔纸上切得，这张矩形金箔纸刚好能够覆盖整个网格。则从四个角上切下多少平方英寸的废料？
正确答案：D · 分值：1
用同分类同星级进入练习 →2001 AMC8 #11 · Geometry · ★★★
Points A, B, C and D have these coordinates: A(3,2), B(3,−2), C(−3,−2) and D(−3,0). The area of quadrilateral ABCD is 点 A，B，C 和 D 有如下坐标：A(3,2)，B(3,−2)，C(−3,−2)，D(−3,0)，则四边形 ABCD 的面积为 正确答案：C · 分值：1
用同分类同星级进入练习 →2001 AMC8 #16 · Geometry · ★★★
A square piece of paper, 4 inches on a side, is folded in half vertically. Both layers are then cut in half parallel to the fold. Three new rectangles are formed, a large one and two small ones. What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle?
一张边长 4 英寸的正方形纸垂直对折。然后将这两层沿着平行于折痕的方向均切割成两半，形成了三个新矩形，1 个大矩形和 2 个小矩形。则其中一个小矩形的周长与大矩形的周长之比是多少？
正确答案：E · 分值：1
用同分类同星级进入练习 →2001 AMC8 #23 · Geometry · ★★★★
Points R , S and T are vertices of an equilateral triangle, and points X , Y and Z are midpoints of its sides. How many noncongruent triangles can be drawn using any three of these six points as vertices? 点 R，S 和 T 是一个等边三角形的三个顶点，点 X，Y 和 Z 分别是边的中点。使用这六个点中的任意三个作为顶点，可以画出多少个不全等的三角形？ 正确答案：D · 分值：1
用同分类同星级进入练习 →2000 AMC8 #6 · Geometry · ★★
Figure ABCD is a square. Inside this square three smaller squares are drawn with the side lengths as labeled. The area of the shaded L -shaped region is ABCD 是个正方形。在这个正方形内画了 3 个小正方形，它们的边长如图所示。则 L 形状的阴影部分区域的面积是多少？
正确答案：A · 分值：1
用同分类同星级进入练习 →2000 AMC8 #13 · Geometry · ★★★
In triangle CAT , we have ∠ACT=∠ATC and ∠CAT=36∘ . If TR bisects ∠ATC , then ∠CRT= 在三角形 CAT 中，∠ACT=∠ATC 且 ∠CAT=36∘。若 TR 平分 ∠ATC，则 ∠CRT= 正确答案：C · 分值：1
用同分类同星级进入练习 →2000 AMC8 #15 · Geometry · ★★★
Triangles ABC , ADE , and EFG are all equilateral. Points D and G are midpoints of AC and AE , respectively. If AB = 4 , what is the perimeter of figure ABCDEFG ? 三角形 ABC，ADE 和 EFG 都是等边三角形。点 D 和 G 分别是形 ABCDEFG 的周长是多少？
和
正确答案：C · 分值：1
用同分类同星级进入练习 →2000 AMC8 #16 · Geometry · ★★★
In order for Mateen to walk a kilometer (1000m) in his rectangular backyard, he must walk the length 25 times or walk its perimeter 10 times. What is the area of Mateen's backyard in square meters?
为了让 Mateen 在他的长方形后院里走 1 公里（1000 米），他必须沿着长方形的长走 25 次，或者沿着它的周长走 10 次．那么 Mateen 后院的面积是多少平方米?
正确答案：C · 分值：1
用同分类同星级进入练习 →2000 AMC8 #18 · Geometry · ★★★
Consider these two geoboard quadrilaterals. Which of the following statements is true?
考虑下面几何画板上的两个四边形。下面哪句话是对的？
正确答案：E · 分值：1
用同分类同星级进入练习 →2000 AMC8 #19 · Geometry · ★★★
Three circular arcs of radius 5 units bound the region shown. Arcs AB and AD are quarter-circles, and arc BCD is a semicircle. What is the area, in square units, of the region? 三段半径为 5 个单位长的圆弧围成图示区域。弧 AB 和 AD 均为四分之一圆，弧 BCD 是个半圆。
那么这个区域的面积是多少平方单位？
正确答案：C · 分值：1
用同分类同星级进入练习 →2000 AMC8 #22 · Geometry · ★★★
A cube has edge length 2 . Suppose that we glue a cube of edge length 1 on top of the big cube so that one of its faces rests entirely on the top face of the larger cube. The percent increase in the surface area (sides, top, and bottom) from the original cube to the new solid formed is closest to
一个正方体边长为 2。假设我们把一个边长为 1 的正方体粘贴到这个大的正方体的顶面，使得小正方体的一个面整个的放在大正方体的顶面上。则和原来大正方体的表面积（侧面，顶面，底面）相比较，所形成的新的立体图形的表面积增加的百分数最接近于百分之多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →2000 AMC8 #24 · Geometry · ★★★★
If ∠A=20∘ and ∠AFG=∠AGF , then ∠B+∠D= 若 ∠A=20∘ 且 ∠AFG=∠AGF，则 ∠B+∠D= 正确答案：D · 分值：1
用同分类同星级进入练习 →2000 AMC8 #25 · Geometry · ★★★★
The area of rectangle ABCD is 72 units squared. If point A and the midpoints of BC and CD are joined to form a triangle, the area of that triangle is 矩形 ABCD 的面积是 72 平方单位。若连接点 A 与 BC、CD 的中点构成一个三角形，那么这个三角形的面积是多少？ 正确答案：B · 分值：1
用同分类同星级进入练习 →1999 AMC8 #2 · Geometry · ★
What is the degree measure of the smaller angle formed by the hands of a clock at 10 o'clock?
时钟在 10 点整时，时针和分针所形成较小角的度数是多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →1999 AMC8 #5 · Geometry · ★★
A rectangular garden 60 feet long and 20 feet wide is enclosed by a fence. To make the garden larger, while using the same fence, its shape is changed to a square. By how many square feet does this enlarge the garden?
一个长 60 英尺、宽 20 英尺的矩形花园用围栏围起来。为了使花园更大，同时使用同样的围栏，将其形状改为正方形。这样花园面积扩大了多少平方英尺？
正确答案：D · 分值：1
用同分类同星级进入练习 →1999 AMC8 #8 · Geometry · ★★
Six squares are colored, front and back, (R = red, B = blue, O = orange, Y = yellow, G = green, and W = white). They are hinged together as shown, then folded to form a cube. The face opposite the white face is
六个正方形，正面和背面分别涂有颜色（R = 红色，B = 蓝色，O = 橙色，Y = 黄色，G = 绿色，W = 白色）。它们如图所示铰接在一起，然后折叠形成一个正方体。白色面相对的面颜色是什么？
正确答案：A · 分值：1
用同分类同星级进入练习 →1999 AMC8 #14 · Geometry · ★★★
In trapezoid ABCD , the sides AB and CD are equal. The perimeter of ABCD is 在梯形 ABCD 中，边 AB 和 CD 相等。梯形 ABCD 的周长是 正确答案：D · 分值：1
用同分类同星级进入练习 →1999 AMC8 #20 · Geometry · ★★★
Figure 1 is called a "stack map." The numbers tell how many cubes are stacked in each position. Fig. 2 shows these cubes, and Fig. 3 shows the view of the stacked cubes as seen from the front.
Which of the following is the front view for the stack map in Fig. 4?
图 1 称为「堆叠图」。数字表示每个位置堆叠了多少个正方体。图 2 显示了这些正方体，图 3 显示了从前面看到的堆叠正方体的视图。
下列哪个是图 4 中堆叠图的前视图？
正确答案：B · 分值：1
用同分类同星级进入练习 →1999 AMC8 #21 · Geometry · ★★★
The degree measure of angle A is 正确答案：B · 分值：1
用同分类同星级进入练习 →1999 AMC8 #23 · Geometry · ★★★★
Square ABCD has sides of length 3. Segments CM and CN divide the square's area into three equal parts. How long is segment CM ? 正方形 ABCD 的边长为 3。线段 CM 和 CN 将正方形的面积分成相等的三部分。线段 CM 的长度是多少？ 正确答案：C · 分值：1
用同分类同星级进入练习 →1999 AMC8 #25 · Geometry · ★★★★
Points B , D , and J are midpoints of the sides of right triangle ACG . Points K , E , I are midpoints of the sides of triangle JDG , etc. If the dividing and shading process is done 100 times (the first three are shown) and AC=CG=6 , then the total area of the shaded triangles is nearest 点 B、D 和 J 是直角三角形 ACG 各边的中点。点 K、E、I 是三角形 JDG 各边的中点，以此类推。如果分割和着色过程进行 100 次（前三次如图所示）且 AC=CG=6，则着色三角形的总面积最接近 正确答案：A · 分值：1
用同分类同星级进入练习 →1998 AMC8 #4 · Geometry · ★★
How many triangles are in this figure? (Some triangles may overlap other triangles.)
图中有多少个三角形？（有些三角形可能与其他三角形重叠。）
正确答案：E · 分值：1
用同分类同星级进入练习 →1998 AMC8 #6 · Geometry · ★★
Dots are spaced one unit apart, horizontally and vertically. The number of square units enclosed by the polygon is
点之间水平和垂直方向间距均为一个单位。该多边形围成的面积是多少平方单位？
正确答案：B · 分值：1
用同分类同星级进入练习 →1998 AMC8 #13 · Geometry · ★★★
What is the ratio of the area of the shaded square to the area of the large square? (The figure is drawn to scale)
着色正方形的面积与大正方形的面积之比是多少？（图形按比例绘制）
正确答案：C · 分值：1
用同分类同星级进入练习 →1998 AMC8 #18 · Geometry · ★★★
As indicated by the diagram below, a rectangular piece of paper is folded bottom to top, then left to right, and finally, a hole is punched at X. What does the paper look like when unfolded?
如下图所示，将一张矩形纸从下往上折叠，再从左往右折叠，最后在 X 处打一个孔。展开后纸张是什么样子？
正确答案：B · 分值：1
用同分类同星级进入练习 →1998 AMC8 #20 · Geometry · ★★★
Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S . The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS . 设 PQRS 为一张正方形纸。将 P 折到 R 上，再将 Q 折到 S 上。所得图形的面积为 9 平方英寸。求正方形 PQRS 的周长。 正确答案：D · 分值：1
用同分类同星级进入练习 →1998 AMC8 #21 · Geometry · ★★★
A4×4×4 cubical box contains 64 identical small cubes that exactly fill the box. How many of these small cubes touch a side or the bottom of the box? 一个 4×4×4 的正方体盒子内装有 64 个完全相同的小正方体，恰好填满盒子。这些小正方体中有多少个接触盒子的侧面或底面？ 正确答案：B · 分值：1
用同分类同星级进入练习 →1997 AMC8 #7 · Geometry · ★
The area of the smallest square that will contain a circle of radius 4 is
正确答案：D · 分值：1
用同分类同星级进入练习 →1997 AMC8 #10 · Geometry · ★★
What fraction of this square region is shaded? Stripes are equal in width, and the figure is drawn to scale.
这个正方形区域中有多少比例被涂色？条纹宽度相等，图形按比例绘制。
正确答案：C · 分值：1
用同分类同星级进入练习 →1997 AMC8 #12 · Geometry · ★★★
∠1+∠2=180∘ ∠3=∠4 正确答案：D · 分值：1
用同分类同星级进入练习 →1997 AMC8 #15 · Geometry · ★★★
Each side of the large square in the figure is trisected (divided into three equal parts). The corners of an inscribed square are at these trisection points, as shown. The ratio of the area of the inscribed square to the area of the large square is
图中大正方形的每条边被三等分。在等分点处作内接正方形，如图所示。内接正方形的面积与大正方形的面积之比是
正确答案：B · 分值：1
用同分类同星级进入练习 →1997 AMC8 #17 · Geometry · ★★★
A cube has eight vertices (corners) and twelve edges. A segment, such as x , which joins two vertices not joined by an edge is called a diagonal. Segment y is also a diagonal. How many diagonals does a cube have? 一个正方体有八个顶点和十二条棱。像 x 这样连接两个不被棱相连的顶点的线段称为对角线。线段 y 也是一条对角线。一个正方体有多少条对角线？ 正确答案：E · 分值：1
用同分类同星级进入练习 →1997 AMC8 #21 · Geometry · ★★★★
Each corner cube is removed from this 3 cm×3 cm×3 cm cube. The surface area of the remaining figure is 从一个 3 cm×3 cm×3 cm 的正方体上移除每个角上的小正方体。剩余图形的表面积是 正确答案：D · 分值：1
用同分类同星级进入练习 →1997 AMC8 #24 · Geometry · ★★★★
Diameter ACE is divided at C in the ratio 2:3 . The two semicircles, ABC and CDE , divide the circular region into an upper (shaded) region and a lower region. The ratio of the area of the upper region to that of the lower region is 直径 ACE 被点 C 分成 2:3 的比例。两个半圆 ABC 和 CDE 将圆形区域分成上部（着色）区域和下部区域。上部区域与下部区域的面积之比是 正确答案：C · 分值：1
用同分类同星级进入练习 →1996 AMC8 #8 · Geometry · ★★
Points A and B are 10 units apart. Points B and C are 4 units apart. Points C and D are 3 units apart. If A and D are as close as possible, then the number of units between them is 点 A 和 B 相距 10 个单位。点 B 和 C 相距 4 个单位。点 C 和 D 相距 3 个单位。如果 A 和 D 尽可能接近，则它们之间的距离是多少个单位？ 正确答案：B · 分值：1
用同分类同星级进入练习 →1996 AMC8 #17 · Geometry · ★★★
Figure OPQR is a square. Point O is the origin, and point Q has coordinates (2,2). What are the coordinates for T so that the area of triangle PQT equals the area of square OPQR ? NOT TO SCALE
图形 OPQR 是一个正方形。点 O 是原点，点 Q 的坐标为 (2,2)。点 T 的坐标应为何值，才能使三角形 PQT 的面积等于正方形 OPQR 的面积？ （图形未按比例绘制）
正确答案：C · 分值：1
用同分类同星级进入练习 →1996 AMC8 #22 · Geometry · ★★★
The horizontal and vertical distances between adjacent points equal 1 unit. What is the area of triangle ABC ? 相邻点之间的水平和垂直距离均为 1 个单位。三角形 ABC 的面积是多少？ 正确答案：B · 分值：1
用同分类同星级进入练习 →1996 AMC8 #24 · Geometry · ★★★★
The measure of angle ABC is 50∘ , AD bisects angle BAC , and DC bisects angle BCA . The measure of angle ADC is ∠ABC 的度数为 50∘，AD 平分 ∠BAC，DC 平分 ∠BCA。∠ADC 的度数是 正确答案：C · 分值：1
用同分类同星级进入练习 →1995 AMC8 #6 · Geometry · ★★
Figures I , II , and III are squares. The perimeter of I is 12 and the perimeter of II is 24 . The perimeter of III is 图形 I、II 和 III 是正方形。I 的周长是 12，II 的周长是 24。III 的周长是 正确答案：C · 分值：1
用同分类同星级进入练习 →1995 AMC8 #9 · Geometry · ★★
Three congruent circles with centers P , Q , and R are tangent to the sides of rectangle ABCD as shown. The circle centered at Q has diameter 4 and passes through points P and R . The area of the rectangle is 三个全等的圆，圆心分别为 P、Q 和 R，如图所示与矩形 ABCD 的边相切。以 Q 为圆心的圆直径为 4 且经过点 P 和 R。矩形的面积是 正确答案：C · 分值：1
用同分类同星级进入练习 →1995 AMC8 #13 · Geometry · ★★★
In the figure, ∠A , ∠B , and ∠C are right angles. If ∠AEB=40∘ and ∠BED=∠BDE , then ∠CDE= 在图中，∠A、∠B 和 ∠C 是直角。如果 ∠AEB=40∘ 且 ∠BED=∠BDE，则 ∠CDE= 正确答案：E · 分值：1
用同分类同星级进入练习 →1995 AMC8 #18 · Geometry · ★★★
The area of each of the four congruent L-shaped regions of this 100-inch by 100-inch square is 3/16 of the total area. How many inches long is the side of the center square?
在这个 100 英寸 × 100 英寸的正方形中，四个全等 L 形区域各占总面积的 3/16。中心正方形的边长是多少英寸？
正确答案：C · 分值：1
用同分类同星级进入练习 →1995 AMC8 #21 · Geometry · ★★★★
A plastic snap-together cube has a protruding snap on one side and receptacle holes on the other five sides as shown. What is the smallest number of these cubes that can be snapped together so that only receptacle holes are showing?
一种塑料拼插正方体，一面有凸出的插头，其余五面有凹孔，如图所示。要使拼插后只露出凹孔，最少需要多少个这样的正方体？
正确答案：B · 分值：1
用同分类同星级进入练习 →1995 AMC8 #24 · Geometry · ★★★★
In parallelogram ABCD , DE is the altitude to the base AB and DF is the altitude to the base BC . [Note: Both pictures represent the same parallelogram.] If DC=12 , EB=4 , and DE=6 , then DF= 在平行四边形 ABCD 中，DE 是底边 AB 上的高，DF 是底边 BC 上的高。[注：两幅图表示同一平行四边形。] 若 DC=12，EB=4，DE=6，则 DF= 正确答案：C · 分值：1
用同分类同星级进入练习 →1994 AMC8 #4 · Geometry · ★★
Which of the following represents the result when the figure shown below is rotated clockwise 120∘ about its center? 以下哪个表示将下图绕其中心顺时针旋转 120∘ 后的结果？ 正确答案：B · 分值：1
用同分类同星级进入练习 →1994 AMC8 #7 · Geometry · ★★
If ∠A=60∘ , ∠E=40∘ and ∠C=30∘ , then ∠BDC= 如果 ∠A=60∘，∠E=40∘，∠C=30∘，则 ∠BDC= 正确答案：B · 分值：1
用同分类同星级进入练习 →1994 AMC8 #12 · Geometry · ★★★
Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at the midpoints of the sides. How do the shaded areas of these squares compare?
下面所示的三个大正方形大小相同。与正方形边相交的线段在边的中点处相交。这些正方形的着色面积相比如何？
正确答案：A · 分值：1
用同分类同星级进入练习 →1994 AMC8 #16 · Geometry · ★★★
The perimeter of one square is 3 times the perimeter of another square. The area of the larger square is how many times the area of the smaller square?
一个正方形的周长是另一个正方形周长的 3 倍。大正方形的面积是小正方形面积的多少倍？
正确答案：E · 分值：1
用同分类同星级进入练习 →1994 AMC8 #19 · Geometry · ★★★
Around the outside of a 4 by 4 square, construct four semicircles (as shown in the figure) with the four sides of the square as their diameters. Another square, ABCD , has its sides parallel to the corresponding sides of the original square, and each side of ABCD is tangent to one of the semicircles. The area of the square ABCD is 在一个 4 × 4 正方形的四边外侧，以正方形的四条边为直径作四个半圆（如图所示）。另一个正方形 ABCD 的各边与原正方形的对应边平行，且 ABCD 的每条边都与一个半圆相切。正方形 ABCD 的面积是 正确答案：E · 分值：1
用同分类同星级进入练习 →1993 AMC8 #17 · Geometry · ★★★
Square corners, 5 units on a side, are removed from a 20 unit by 30 unit rectangular sheet of cardboard. The sides are then folded to form an open box. The surface area, in square units, of the interior of the box is
从一个 20 × 30 单位的矩形纸板上切掉四个边长为 5 单位的正方形角。然后将四边折叠形成一个开口的盒子。盒子内部的表面积是多少平方单位？
正确答案：B · 分值：1
用同分类同星级进入练习 →1993 AMC8 #18 · Geometry · ★★★
The rectangle shown has length AC=32 , width AE=20 , and B and F are midpoints of AC and AE , respectively. The area of quadrilateral ABDF is 如图所示，矩形 AC=32，宽 AE=20，点 B 和 F 分别是 AC 和 AE 的中点。四边形 ABDF 的面积是 正确答案：A · 分值：1
用同分类同星级进入练习 →1993 AMC8 #25 · Geometry · ★★★★
A checkerboard consists of one-inch squares. A square card, 1.5 inches on a side, is placed on the board so that it covers part or all of the area of each of n squares. The maximum possible value of n is 棋盘由边长为 1 英寸的方格组成。一张边长为 1.5 英寸的正方形卡片放在棋盘上，使其覆盖 n 个方格的部分或全部面积。n 的最大可能值是 正确答案：E · 分值：1
用同分类同星级进入练习 →1992 AMC8 #5 · Geometry · ★★
A circle of diameter 1 is removed from a 2×3 rectangle, as shown. Which whole number is closest to the area of the shaded region? 如图所示，从一个 2×3 的矩形中移除一个直径为 1 的圆。以下哪个整数最接近着色区域的面积？ 正确答案：E · 分值：1
用同分类同星级进入练习 →1992 AMC8 #10 · Geometry · ★★
An isosceles right triangle with legs of length 8 is partitioned into 16 congruent triangles as shown. The shaded area is
一个直角边长为 8 的等腰直角三角形被分成 16 个全等三角形，如图所示。着色面积是
正确答案：B · 分值：1
用同分类同星级进入练习 →1992 AMC8 #16 · Geometry · ★★★
Which cylinder has twice the volume of the cylinder shown above?
正确答案：B · 分值：1
用同分类同星级进入练习 →1992 AMC8 #17 · Geometry · ★★★
The sides of a triangle have lengths 6.5 , 10 , and s , where s is a whole number. What is the smallest possible value of s ? 一个三角形的边长分别为 6.5、10 和 s，其中 s 是一个整数。s 的最小可能值是多少？ 正确答案：B · 分值：1
用同分类同星级进入练习 →1992 AMC8 #20 · Geometry · ★★★
Which pattern of identical squares could NOT be folded along the lines shown to form a cube?
以下哪种全等正方形的排列不能沿所示线条折叠成一个正方体？
正确答案：D · 分值：1
用同分类同星级进入练习 →1992 AMC8 #22 · Geometry · ★★★★
Eight 1×1 square tiles are arranged as shown so their outside edges form a polygon with a perimeter of 14 units. Two additional tiles of the same size are added to the figure so that at least one side of each tile is shared with a side of one of the squares in the original figure. Which of the following could be the perimeter of the new figure? 八块 1×1 的方形瓷砖如图所示排列，其外缘形成一个周长为 14 个单位的多边形。在原图形上添加两块同样大小的瓷砖，使得每块新瓷砖至少有一条边与原图形中某块正方形的边共边。新图形的周长可能是以下哪个？ 正确答案：C · 分值：1
用同分类同星级进入练习 →1992 AMC8 #24 · Geometry · ★★★★
Four circles of radius 3 are arranged as shown. Their centers are the vertices of a square. The area of the shaded region is closest to
四个半径为 3 的圆如图所示排列。它们的圆心是一个正方形的顶点。着色区域的面积最接近
正确答案：A · 分值：1
用同分类同星级进入练习 →1991 AMC8 #5 · Geometry · ★★
A "domino" is made up of two small squares: Which of the "checkerboards" illustrated below CANNOT be covered exactly and completely by a whole number of non-overlapping dominoes?
一块"多米诺"骨牌由两个小正方形组成：
下面哪块"棋盘"不能被整数块不重叠的多米诺骨牌完全精确地覆盖？
正确答案：B · 分值：1
用同分类同星级进入练习 →1991 AMC8 #10 · Geometry · ★★
The area in square units of the region enclosed by parallelogram ABCD is 平行四边形 ABCD 所围成区域的面积是多少平方单位？ 正确答案：B · 分值：1
用同分类同星级进入练习 →1991 AMC8 #15 · Geometry · ★★★
All six sides of a rectangular solid were rectangles. A one-foot cube was cut out of the rectangular solid as shown. The total number of square feet in the surface of the new solid is how many more or less than that of the original solid?
一个长方体的六个面都是矩形。如图所示，从该长方体中切掉一个一英尺的正方体。新立体表面的总平方英尺数比原立体多还是少多少？
正确答案：C · 分值：1
用同分类同星级进入练习 →1991 AMC8 #16 · Geometry · ★★★
The 16 squares on a piece of paper are numbered as shown in the diagram. While lying on a table, the paper is folded in half four times in the following sequence:
(1) fold the top half over the bottom half
(2) fold the bottom half over the top half
(3) fold the right half over the left half
(4) fold the left half over the right half.
Which numbered square is on top after step 4 ?
一张纸上的 16 个方格如图所示编号。纸张平放在桌上，按以下顺序对折四次：
(1) 将上半部分向下对折
(2) 将下半部分向上对折
(3) 将右半部分向左对折
(4) 将左半部分向右对折。
第 4 步之后，哪个编号的方格在最上面？
正确答案：B · 分值：1
用同分类同星级进入练习 →1991 AMC8 #24 · Geometry · ★★★★
A cube of edge 3 cm is cut into N smaller cubes, not all the same size. If the edge of each of the smaller cubes is a whole number of centimeters, then N= 一个棱长为 3 cm 的正方体被切成 N 个小正方体，不全部大小相同。如果每个小正方体的棱长都是整数厘米，则 N= 正确答案：E · 分值：1
用同分类同星级进入练习 →1990 AMC8 #3 · Geometry · ★★
What fraction of the square is shaded?
正确答案：E · 分值：1
用同分类同星级进入练习 →1990 AMC8 #15 · Geometry · ★★★
The area of this figure is 100 cm2 . Its perimeter is [figure consists of four identical squares] 此图形的面积为 100 cm2。其周长是 [图形由四个相同的正方形组成]
正确答案：E · 分值：1
用同分类同星级进入练习 →1990 AMC8 #17 · Geometry · ★★★
A straight concrete sidewalk is to be 3 feet wide, 60 feet long, and 3 inches thick. How many cubic yards of concrete must a contractor order for the sidewalk if concrete must be ordered in a whole number of cubic yards?
一条直的混凝土人行道宽 3 英尺、长 60 英尺、厚 3 英寸。如果混凝土必须按整立方码订购，承包商需要为这条人行道订购多少立方码混凝土？
正确答案：A · 分值：1
用同分类同星级进入练习 →1990 AMC8 #18 · Geometry · ★★★
Each corner of a rectangular prism is cut off. Two (of the eight) cuts are shown. How many edges does the new figure have?
一个长方体每个角都被切掉了。显示了八个切口中的两个。新图形有多少条棱？
正确答案：C · 分值：1
用同分类同星级进入练习 →1989 AMC8 #10 · Geometry · ★★
What is the number of degrees in the smaller angle between the hour hand and the minute hand on a clock that reads seven o'clock?
时钟显示七点整时，时针和分针之间较小角的度数是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →1989 AMC8 #11 · Geometry · ★★★
Which of the five "T-like shapes" would be symmetric to the one shown with respect to the dashed line?
五个"T 形图形"中，哪个与所示图形关于虚线对称？
正确答案：B · 分值：1
用同分类同星级进入练习 →1989 AMC8 #15 · Geometry · ★★★
The area of the shaded region BEDC in parallelogram ABCD is 平行四边形 ABCD 中阴影区域 BEDC 的面积是 正确答案：D · 分值：1
用同分类同星级进入练习 →1989 AMC8 #20 · Geometry · ★★★
The figure may be folded along the lines shown to form a number cube. Three number faces come together at each corner of the cube. What is the largest sum of three numbers whose faces come together at a corner?
此图可以沿所示线条折叠形成一个数字正方体。正方体的每个角上有三个数字面汇聚在一起。汇聚于一个角的三个数字之和最大是多少？
正确答案：D · 分值：1
用同分类同星级进入练习 →1989 AMC8 #23 · Geometry · ★★★
An artist has 14 cubes, each with an edge of 1 meter. She stands them on the ground to form a sculpture as shown. She then paints the exposed surface of the sculpture. How many square meters does she paint?
一位艺术家有 14 个棱长为 1 米的正方体。她将它们立在地上形成如图所示的雕塑。然后她对雕塑的暴露表面进行涂漆。她涂了多少平方米？
正确答案：C · 分值：1
用同分类同星级进入练习 →1989 AMC8 #24 · Geometry · ★★★★
Suppose a square piece of paper is folded in half vertically. The folded paper is then cut in half along the dashed line. Three rectangles are formed-a large one and two small ones. What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle?
假设一张正方形纸被垂直对折。折叠后的纸再沿虚线切成两半。形成三个矩形——一个大矩形和两个小矩形。一个小矩形的周长与大矩形的周长之比是多少？
正确答案：E · 分值：1
用同分类同星级进入练习 →1988 AMC8 #5 · Geometry · ★
Problem If ∠CBD is a right angle, then this protractor indicates that the measure of ∠ABC is approximately 如果 ∠CBD 是直角，则该量角器显示 ∠ABC 的近似度数是 正确答案：C · 分值：1
用同分类同星级进入练习 →1988 AMC8 #9 · Geometry · ★★
An isosceles triangle is a triangle with two sides of equal length. How many of the five triangles on the square grid below are isosceles?
等腰三角形是有两条边长度相等的三角形。下面方格网格上的五个三角形中有多少个是等腰三角形？
正确答案：D · 分值：1
用同分类同星级进入练习 →1988 AMC8 #13 · Geometry · ★★★
If rose bushes are spaced about 1 foot apart, approximately how many bushes are needed to surround a circular patio whose radius is 12 feet?
如果玫瑰花丛间距约 1 英尺，环绕一个半径为 12 英尺的圆形露台大约需要多少花丛？
正确答案：D · 分值：1
用同分类同星级进入练习 →1988 AMC8 #17 · Geometry · ★★★
The shaded region formed by the two intersecting perpendicular rectangles, in square units, is
两个垂直相交矩形形成的着色区域面积是多少平方单位？
正确答案：B · 分值：1
用同分类同星级进入练习 →1988 AMC8 #24 · Geometry · ★★★★
The square in the first diagram "rolls" clockwise around the fixed regular hexagon until it reaches the bottom. In which position will the solid triangle be in diagram 4 ?
第一个图中的正方形围绕固定的正六边形顺时针"滚动"，直到到达底部。图 4 中实心三角形将位于哪个位置？
正确答案：A · 分值：1
用同分类同星级进入练习 →1987 AMC8 #5 · Geometry · ★
The area of the rectangular region is
正确答案：A · 分值：1
用同分类同星级进入练习 →1987 AMC8 #7 · Geometry · ★★
The large cube shown is made up of 27 identical sized smaller cubes. For each face of the large cube, the opposite face is shaded the same way. The total number of smaller cubes that must have at least one face shaded is
所示大正方体由 27 个相同大小的小正方体组成。大正方体的每个面，其相对面的着色方式相同。至少有一个面被着色的小正方体总数是
正确答案：C · 分值：1
用同分类同星级进入练习 →1987 AMC8 #12 · Geometry · ★★★
What fraction of the large 12 by 18 rectangular region is shaded?
着色部分占 12 × 18 大矩形区域的几分之几？
正确答案：C · 分值：1
用同分类同星级进入练习 →1987 AMC8 #22 · Geometry · ★★★★
ABCD is a rectangle, D is the center of the circle, and B is on the circle. If AD=4 and CD=3 , then the area of the shaded region is between ABCD 是一个矩形，D 是圆的圆心，B 在圆上。如果 AD=4 且 CD=3，则着色区域的面积在以下哪两个数之间？ 正确答案：D · 分值：1
用同分类同星级进入练习 →1986 AMC8 #13 · Geometry · ★★★
The perimeter of the polygon shown is
正确答案：C · 分值：1
用同分类同星级进入练习 →1986 AMC8 #21 · Geometry · ★★★★
Suppose one of the eight lettered identical squares is included with the four squares in the T-shaped figure outlined. How many of the resulting figures can be folded into a topless cubical box?
假设八个标有字母的全等正方形之一与 T 形外框中的四个正方形合并。所得图形中有多少个可以折叠成一个无盖的正方体盒子？
正确答案：E · 分值：1
用同分类同星级进入练习 →1986 AMC8 #23 · Geometry · ★★★★
The large circle has diameter AC . The two small circles have their centers on AC and just touch at O , the center of the large circle. If each small circle has radius 1 , what is the value of the ratio of the area of the shaded region to the area of one of the small circles? 大圆的直径为 AC。两个小圆的圆心在 AC 上，且恰好在 O 点（大圆的圆心）相切。如果每个小圆的半径为 1，着色区域与一个小圆的面积之比是多少？ 正确答案：B · 分值：1
用同分类同星级进入练习 →1985 AMC8 #4 · Geometry · ★★
The area of polygon ABCDEF , in square units, is 多边形 ABCDEF 的面积是多少平方单位？ 正确答案：C · 分值：1
用同分类同星级进入练习 →1985 AMC8 #11 · Geometry · ★★★
A piece of paper containing six joined squares labeled as shown in the diagram is folded along the edges of the squares to form a cube. The label of the face opposite the face labeled X is 一张纸上有六个相连的正方形，标记如图所示。将纸沿正方形的边折叠形成一个正方体。与面 X 相对的面上的标记是 正确答案：E · 分值：1
用同分类同星级进入练习 →1985 AMC8 #12 · Geometry · ★★★
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.2cm, 8.3cm and 9.5cm. The area of the square is 一个正方形和一个三角形周长相等。三角形三边长分别为 6.2 cm、8.3 cm 和 9.5 cm。正方形的面积是 正确答案：B · 分值：1
用同分类同星级进入练习 →1985 AMC8 #19 · Geometry · ★★★
If the length and width of a rectangle are each increased by 10%, then the perimeter of the rectangle is increased by
如果矩形的长和宽各增加 10%，则矩形的周长增加了
正确答案：B · 分值：1
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