UKiset数学练习题，含详细答案及解析

　　备考UKiset数学，需要大家还是多看一些UKiset考试机经，有兴趣的同学们可以看一些UKiset课程培训的教学内容。下面，英国私立学校入学考试网为大家分享UKiset数学练习题。

　　1. After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce?

　　A. 20

　　B. 15

　　C. 8

　　D. 5

　　E. 3.2

　　2. n and p are integers greater than 1

　　5n is the square of a number

　　75np is the cube of a number.

　　The smallest value for n + p is

　　A. 14

　　B. 18

　　C. 20

　　D. 30

　　E. 50

　　1.Correct Answer: C

　　Explanation:

　　If after each bounce it reaches 2/5 of the previous height, then after the second bounce it will reach 2/5 x 125. After the third it will reach 2/5 x 2/5 x 125. After the fourth it will reach 2/5 x 2/5 x 2/5 x 125. This cancels down to 2 x 2 x 2 = 8

　　2.Correct Answer: A

　　Explanation:

　　The smallest value for n such that 5n is a square is 5. 75np can now be written as 75 x 5 x p. This gives prime factors.... 3 x 5 x 5 x 5 x p To make the expression a perfect cube, p will have to have factors 3 x 3 , and hence p =9 n + p = 5 + 9 = 14

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