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求教几个prep的math题

我列出了答案,但是不知怎么解

6A set of 15 different integers has a median of 25 and a range of 25, what is the greatest possible integer that could be in this set?    43

假设前七个数都是25,那么最大的数应该是25median)+25range)=50

7when a certain tree was first planted, it was 4 feet high, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/5 taller than it was at the end of the 4th year. By how many feet did the height of tree increase each year?   2/3

我是这样求的4+6h=4+4h+1/5   h1/10

8a certain library assesses fine for overdue books as follows. On the first day that a book is overdue, the total fine is 0.1. For each additional day that the book is overdue, the total fine is either increased by 0.3 or doubled, whichever results in the lesser amount. What is the total fine for a book on the fourth day it is overdue?   0.7

我是这样算的increased by 0.3,则第一二三四天,total fine 0.1, 0.4,0.7,1Doubled,则第一二三四天为0.1,0.2,0.4,0.8,则较低的为0.8

9at a dinner party, 5 people are to be seated around a circular table. Two seating arrangement are considered different only when the position of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?   24

10what is the greatest common divisor of positive integers m and n?

     1) m is a prime number

     2) 2n=7m                              C

11if each item in the sum a1+a2+----+an is either 7 or 77 and the sum equals 350, which of the following could be equal to n?     40

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6.A set of 15 different integers,15个不同的数怎么会有7个25?

7. 设每年这棵树长x feet,(6x-4x)/(4+4x)=1/5,x得2/3。1/5是个比例,不是长度。

8. For each additional day that the book is overdue, the total fine is either increased by 0.3 or doubled, whichever results in the lesser amount.

day 1 = 0.1

day = 0.1*2 = 0.2

day 3 = 0.2*2 = 0.4 (day 3的罚款是day 2的double,因为(0.2+0.3)>0.2*2)

day 4 = 0.4 + 0.3

每天的罚款是分开计算的,不是固定的,要不然这道题一点儿意义都没了...

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10. 条件一:m是prime number,证明m只能被1和m本身整除。

条件二:n是整数,也就是说7m/2得整数。

综合两个条件,能被2整除的prime number应该只有2本身。所以m=2,n=7,他们的最大公约数是1。两个条件都要用到。

11. 7和77的个位数都是7,你从那5个选项里挑出来一个乘以7能得个位数是0的选项。

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A set of 15 different integers,15个不同的数怎么会有7个25?

知道了,但是还是不知道43怎么得出的

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at a dinner party, 5 people are to be seated around a circular table. Two seating arrangement are considered different only when the position of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?   24

这题怎么得出24的阿

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先固定好一个人的座位,其他人P44

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