AMC8数学竞赛常考题型+200道AMC8竞赛考前必刷题！

发布时间：2024-07-02 10:47:44|编辑：网络

来源：网络

AMC8数学竞赛水平测试题

1.[代数&函数]

A cell phone plan costs 20 dollars each month, plus 5 cents per text message sent, plus 10 cents for each minute used over 30 hours. In January Michelle sent 100 text messages and talked for 30.5 hours. How much did she have to pay?

(A) 24.00 (B) 24.50 (C) 25.50 (D) 28.00 (E) 30.00

2.[代数&函数]

Cagney can frost a cupcake every 20 seconds and Lacey can frost a cupcake every 30 seconds. Working together, how many cupcakes can they frost in 5 minutes?

(A) 10 (B) 15 (C) 20 (D) 25 (E) 30

3.[计数&数论]

A flower bouquet contains pink roses, red roses, pink carnations, and red carnations. One third of the pink flowers are roses, three fourths of the red flowers are carnations, and sixtenths of the flowers are pink. What percent of the flowers are carnations?

(A) 15 (B) 30 (C) 40 (D) 60 (E) 70

4.[代数&函数]

At an elementary school, the students in third grade, fourth grade, and fifth grade run an average of 12, 15, and 10 minutes per day, respectively. There are twice as many third graders as fourth graders, and twice as many fourth graders as fifth graders. What is theaverage number of minutes run per day by these students?

(A) 12 (B) 37/3 (C) 88/7 (D) 13 (E) 14

5.[代数&函数]

Last summer 30% of the birds living on Town Lake were geese, 25% were swans, 10% wereherons, and 35% were ducks. What percent of the birds that were not swans were geese?

(A) 20 (B) 30 (C) 40 (D) 50 (E) 60

6.[计数&数论]

The sums of three whole numbers taken in pairs are 12, 17, and 19. What is the middle number?

(A)4 (B）5 (C) 6 (D) 7 (E) 8

7.[计数&数论]

Define a function on the positive integers recursively by f(1) = 2, f(n) = f(n - 1) + 1 if n is even, and f(n) = f(n - 2) + 2 if n is odd and greater than 1. What is f(2017)?

(A) 2017 (B) 2018 (C) 4034 (D) 4035 (E) 4036

8.[几何]

Line segment AB is a diameter of a circle with AB = 24. Point C, not equal to A or B, lies on the circle. As point C moves around the circle, the centroid (center of mass) of ▲ABC traces out a closed curve missing two points. To the nearest positive integer, what is the area of the region bounded by this curve?

(A) 25 (B) 32 (C) 50 (D) 63 (E) 75

9.[几何]

Carl decided to fence in his rectanqular garden, He bought 20 fence posts, placed one on each of the four corners, and spaced out the rest evenly along the edges of the garden.eaving exactly 4 yards between neighboring posts. The longer side of his garden, including the corners, has twice as many posts as the shorter side, including the corners. What is the area, in square yards, of Carl's garden?

(A) 256 (B) 336 (C) 384 (D) 448 (E) 512

以上9题可以先给孩子测试，如果想要完整版可以告知孩子年龄，给到更对应的考前必刷题汇总版哦！

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