美国数学大联盟(Math League)易错题(1)

1. When I splitthe cost of a video game equally with 4 friends, we each pay $12. How much moredo each of us pay if I split the cost equally with only 3 friends?
A. $3.00 B.$4.00 C.$15.00 D.$16.00
解析:需要注意两点,一是人数总和需要加上自身;二是how much more 中more,求的是四个人分比五个人分每个人多负担多少钱。因此,本题应为12×5¸4-12=3
2. At 5:00 P.M. on a Friday, Hal got locked in the vault.He was in there for 5040 minutes before it opened. On what day did it open?
A. Sunday B. Monday C. Tuesday D. Wednesday
解析:本题难点在于起始时间为下午五点,需要计算整天剩余小时加上起始日的时间是否构成新的一天。5040¸60=84小时 84-24×3=12小时。相当于过了84个小时后是星期几,下午五点再过12小时为第二天的早上5点,因此,为Tuesday。
3. The sum of 7 consecutive integers is 63, the sumof the largest and the smallest of the 7 integers is ( ).
A. 18 B. 24 C. 42 D. 64
解析:本题难题在于读懂题目。consecutiveintegers为连续的正数。两种解题方法,一是1+2+3+4+5+6=21,(63-21)¸7=6, 6+12=18;二是设最小的为x,最大的为x+6,(x+x+6)×7¸2=63,解方程x=6, x+x+6=18

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