2019年AMC10真题PDF下载（A卷）
1.What is the value of 2(0(19)） +((20)1)9?
上述表达式的结果是多少?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
2. What is the hundreds digit of (20! − 15!) ?
(20! − 15!)的百位数字是多少?
(A) 0 (B) 1 (C) 2 (D) 4 (E) 5
3. Ana and Bonita were born on the same date in different years, n years apart. Last year Ana was 5 times as old as Bonita. This year Ana’s age is the square of Bonita’s age. What is n ?
Ana和Bonita出生在不同年份的同一天, 相隔n年。去年Ana的年龄是Bonita年龄的5倍。今年Ana的年龄是Bonita年龄的平方。问n是多少?
(A) 3 (B) 5 (C) 9 (D) 12 (E) 15
4. A box contains 28 red balls, 20 green balls, 19 yellow balls, 13 blue balls, 11 white balls, and 9 black balls. What is the minimum number of balls that must be drawn from the box without replacement to guarantee that at least 15 balls of a single color will be drawn?
一个盒子中有28个红球，20个绿球，19个黄球，13个蓝球，11个白球，和9个黑球。为了保证至少取出15个单一颜色的球, 在不允许放回重取的情况下，必须从盒子里取出的球的数量最少是多少个?
(A) 75 (B) 76 (C) 79 (D) 84 (E) 91
5. What is the greatest number of consecutive integers whose sum is 45 ?
最多可以有多少个连续整数，它们的总和是45?
(A) 9 (B) 25 (C) 45 (D) 90 (E) 120
6. For how many of the following types of quadrilaterals does there exist a point in the plane of the quadrilateral that is equidistant from all four vertices of the quadrilateral?
• a square
• a rectangle that is not a square
• a rhombus that is not a square
• a parallelogram that is not a rectangle or a rhombus
• an isosceles trapezoid that is not a parallelogram
在以下类型的四边形中有多少种，在四边形所在平面上存在一个与四边形的所有四个顶点等距的点?
• 正方形
• 不是正方形的长方形
• 不是正方形的菱形
• 不是长方形或菱形的平行四边形
• 不是平行四边形的等腰梯形
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
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