2015年AMC10真题PDF下载
1.What is the value of (20 − 1 + 52 + 0)−1 × 5?
(A) − 125
(B) − 120
(C)1/5
(D)5/24
(E) 25
2.A box contains a collection of triangular and square tiles. There are 25 tiles in the box, containing 84 edges total. How many square tiles are there in the box?
(A) 3 (B) 5 (C) 7 (D) 9 (E) 11
3.Ann made a 3-step staircase using 18 toothpicks as shown in the figure. How many toothpicks does she need to add to complete a 5-step staircase?
(A) 9 (B) 18 (C) 20 (D) 22 (E) 24
4.Pablo, Sofia, and Mia got some candy eggs at a party. Pablo had three times as many eggs as Sofia, and Sofia had twice as many eggs as Mia. Pablo decides to give some of his eggs to Sofia and Mia so that all three will have the same number of eggs. What fraction of his eggs should Pablo give to Sofia?
(A)1/12 (B)1/6 (C)1/4 (D)1/3 (E)1/2
5.Mr. Patrick teaches math to 15 students. He was grading tests and found that when he graded everyone’s test except Payton’s, the average grade for the class was 80. After he graded Payton’s test, the class average became 81. What was Payton’s score on the test?
(A) 81 (B) 85 (C) 91 (D) 94 (E) 95
6.The sum of two positive numbers is 5 times their difference. What is the ratio of the larger number to the smaller?
(A)5/4 (B)3/2 (C)9/5 (D) 2 (E)5/2
7.How many terms are there in the arithmetic sequence 13, 16, 19, . . . , 70, 73?
(A) 20 (B) 21 (C) 24 (D) 60 (E) 61
8.Two years ago Pete was three times as old as his cousin Claire. Two years before that, Pete was four times as old as Claire. In how many years will the ratio of their ages be 2 : 1?
(A) 2 (B) 4 (C) 5 (D) 6 (E) 8
。。。。。余下真题省略！
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