경시 · AMC 대비 · 4단계 중 4

AMC 8 1999 문제 25개

문제마다 원리부터 푸는 풀이와 처음 풀 수 있는 학년(CCSS 기준)이 있습니다.

AMC 8 1999 #1 6학년부터 arithmetic
(6?3) + 4 - (2 - 1) = 5. To make this statement true, the question mark between the 6 and the 3 should be replaced by
AMC 8 1999 #2 4학년부터 geometry-2d
What is the degree measure of the smaller angle formed by the hands of a clock at 10 o'clock?
AMC 8 1999 #3 7학년부터 arithmetic
Which triplet of numbers has a sum NOT equal to 1?
AMC 8 1999 #4 5학년부터 rate-ratio
The diagram shows the miles traveled by bikers Alberto and Bjorn. After four hours, about how many more miles has Albert…
AMC 8 1999 #5 4학년부터 geometry-2d
A rectangular garden 60 feet long and 20 feet wide is enclosed by a fence. To make the garden larger, while using the sa…
AMC 8 1999 #6 1학년부터 logic
Bo, Coe, Flo, Jo, and Moe have different amounts of money. Neither Jo nor Bo has as much money as Flo. Both Bo and Coe h…
AMC 8 1999 #7 4학년부터 arithmetic
The third exit on a highway is located at milepost 40 and the tenth exit is at milepost 160. There is a service center o…
AMC 8 1999 #8 6학년부터 geometry-3d
Six squares are colored, front and back, (R = red, B = blue, O = orange, Y = yellow, G = green, and W = white). They are…
AMC 8 1999 #9 4학년부터 counting
Three flower beds overlap as shown. Bed A has 500 plants, bed B has 450 plants, and bed C has 350 plants. Beds A and B s…
AMC 8 1999 #10 7학년부터 probability
A complete cycle of a traffic light takes 60 seconds. During each cycle the light is green for 25 seconds, yellow for 5…
AMC 8 1999 #11 6학년부터 arithmetic
Each of the five numbers 1, 4, 7, 10, and 13 is placed in one of the five squares so that the sum of the three numbers i…
AMC 8 1999 #12 6학년부터 rate-ratio
The ratio of the number of games won to the number of games lost (no ties) by the Middle School Middies is 11/4. To the…
AMC 8 1999 #13 6학년부터 arithmetic
The average age of the 40 members of a computer science camp is 17 years. There are 20 girls, 15 boys, and 5 adults. If…
AMC 8 1999 #14 8학년부터 geometry-2d
In trapezoid ABCD, the sides AB and CD are equal. The perimeter of ABCD is
AMC 8 1999 #15 5학년부터 counting
Bicycle license plates in Flatville each contain three letters. The first is chosen from the set {C,H,L,P,R}, the second…
AMC 8 1999 #16 6학년부터 rate-ratio
Tori's mathematics test had 75 problems: 10 arithmetic, 30 algebra, and 35 geometry problems. Although she answered 70%…
AMC 8 1999 #17 5학년부터 rate-ratio
At Central Middle School the 108 students who take the AMC 8 meet in the evening to talk about problems and eat an avera…
AMC 8 1999 #18 6학년부터 rate-ratio
At Central Middle School the 108 students who take the AMC8 meet in the evening to talk about problems and eat an averag…
AMC 8 1999 #19 6학년부터 rate-ratio
At Central Middle School, the 108 students who take the AMC 8 meet in the evening to talk about food and eat an average…
AMC 8 1999 #20 6학년부터 geometry-3d
Figure 1 is called a "stack map." The numbers tell how many cubes are stacked in each position. Fig. 2 shows these cubes…
AMC 8 1999 #21 7학년부터 geometry-2d
The degree measure of angle A is
AMC 8 1999 #22 6학년부터 rate-ratio
In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of ri…
AMC 8 1999 #23 8학년부터 geometry-2d
Square ABCD has sides of length 3. Segments CM and CN divide the square's area into three equal parts. How long is segme…
AMC 8 1999 #24 5학년부터 number-theory
When 1999²⁰⁰⁰ is divided by 5, the remainder is
AMC 8 1999 #25 8학년부터 geometry-2d
Points B, D, and J are midpoints of the sides of right triangle ACG. Points K, E, I are midpoints of the sides of triang…

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