2021 SPRING AMC10A 真题

2021Spring AMC10A

Problem 1

$$= 2) = (32 _ 3) + (42 _ 4)? (22$$

$$23) + 4)? (22 (32 (42$$

What is the value of

(A) 1 (B) 2

算式的值是多少 ?

(E) 12

Problem 2

Portia's high school has times as many students as Lara's high school. The two high schools have a total of students. How many students does Portia's high school have?

Portia 高中的学生人数是 Lara 高中的 3 倍。这两所高中总共有 2600 名学生。问 Portia 高中有 多少名学生

(A) 600 (B) 650 (C) 1950 (D) 2000 (E) 2050

Problem 3

The sum of two natural numbers is . One of the two numbers is divisible by . If the units digit of that number is erased, the other number is obtained. What is the difference of these two numbers?

两个自然数之和是 17 ， 402 。这两个数中的一个可以被 10 整除。如果去掉该数的个位数字则 得到另外一个数。问这两个数的差是多少？

(A) 10,272 (B) 11,700 (C) 13,362 (D) 14,238 (E) 15,426

Problem 4

A cart rolls down a hill, travelling inches the first second and accelerating so that during each successive -second time interval, it travels inches more than during the previous -second interval. The cart takes seconds to reach the bottom of the hill. How far, in inches, does it travel?

一辆小车冲下山坡，它第一秒移动了 5 英寸，并且速度不断加快，在每个连续的 1 秒时间间 隔内，它都比前 1 秒多移动 7 英寸。小车用了 30 秒到达山脚。问它一共行进了多少英寸？

(A) 215 (B) 360 (C) 2992 (D) 3195 (E) 3242