2014年AMC12真题PDF下载-A卷
1 What is 10 · (1/2 + 1/5 + 1/10)−1?
(A) 3 (B) 8 (C) 25/2 (D) 170/3 (E) 170
2 At the theater children get in for half price. The price for 5 adult tickets and 4 child tickets is $24.50. How much would 8 adult tickets and 6 child tickets cost?
(A) $35 (B) $38.50 (C) $40 (D) $42 (E) $42.50
3 Walking down Jane Street, Ralph passed four houses in a row, each painted a different color. He passed the orange house before the red house, and he passed the blue house before the yellow house. The blue house was not next to the yellow house. How many orderings of the colored houses are possible?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6
4 Suppose that a cows give b gallons of milk in c days. At this rate, how many gallons of milk will d cows give in e days?
(A) bde/ac (B) ac/bde (C) abde/c (D) bcde/a (E) abc/de
5 On an algebra quiz, 10% of the students scored 70 points, 35% scored 80 points,30% scored 90 points, and the rest scored 100 points. What is the difference between the mean and median score of the students’ scores on this quiz?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
6 The difference between a two-digit number and the number obtained by reversing its digits is 5 times the sum of the digits of either number. What is the sum of the two digit number and its reverse?
(A) 44 (B) 55 (C) 77 (D) 99 (E) 110
7 The first three terms of a geometric progression are √3, √3 3, and √6 3. What is the fourth term?
(A) 1 (B) 7√3 (C) 8√3 (D) 9√3 (E) 10√3
8 A customer who intends to purchase an appliance has three coupons, only one of which may be used:
Coupon 1: 10% off the listed price if the listed price is at least $50
Coupon 2: $20 off the listed price if the listed price is at least $100
Coupon 3: 18% off the amount by which the listed price exceeds $100
For which of the following listed prices will coupon 1 offer a greater price reduction than either coupon 2 or coupon 3?
(A) $179.95 (B) $199.95 (C) $219.95 (D) $239.95 (E) $259.95
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