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61. 左下角一个直角等腰三角形腰长2, 其斜边与另一三角形共边, 该边所对角60度, 问图形面积 参考答案:2+2根号3 思路:可能另一个是等边三角形 62. 一个正方形, 里面大大小小排了数个都是正方形, 已知左下角两个的面积求右上角的面积, (18的平方) 画了一个数轴, 有五个点, 在不同的数值区间内. 有一个式子, (根号3+根号2)/(根号3-根号2), 问哪个点最接近该值 参考答案:5+2根号6 思路: 63. 问和y=5x垂直的直线 参考答案:y=-x/5+c (原作者答案y=-x/5) 思路: 64. 一个圆柱中间劈开, 应该叫半圆柱, 给了体积32feet,直径2feet, 求长度. 参考答案:64/pai 思路: 65. x,y是正整数, 问他们是否consecutive A 一奇一偶 B x-1=Y 参考答案:B 思路: 66. 一个数列K是1到60的整数,inclusive, S数列是K中每个元素n的(-1)^(n-1)*(1/n). 问S的和应符合一下哪个条件 A S=4 B S=3 C S=2 D S=1 E S<1 参考答案:E 思路: 67. 某人有bookcase, arrange 10 books per shelf and no books left. If he acquired 10 additional books, and arrange 12 books per shelf, no books left. Ask how many books he has before acquiring the addition 10 books A before acquiring, his books less than 96 B before acquiring, his books more than 24 参考答案:a 思路: 68. 俩人做事, 共同完成要1hour, A 单独1.2hour, B单独? 参考答案:6hour 思路: 69. 有5个正整数, 已知3,4,5,5一个未知, 问range是否大于2? A 关于average和 median的大小关系, 拿不准,不敢瞎写. B median=4 参考答案:E 思路: 70. original selling price=加上x% 后的retail price, and final sale price=y倍的original selling price, Ask final price? A xy的值 B 3x+4Y的值 参考答案:A 思路: 71. 说“prime sum”是sum of prime factors, e,g prime sum of 12 =2+3=5. Ask wiich of the following has a prime sum greater than 35? 选项都是三位数 参考答案:C 620 思路:31+2+5>35 72. 关于误差, 给了一个表格, x=300,000,Y=1,000,000说x,y误差均为5%, 问the greatest possible difference between X and Y? 参考答案:765000 思路: 73. both A and B are positive integers with three digits3. The thousandth digit2 of A is 1 more than that of B, the tenth digit of A is 2 less than that of B, Ask the difference between the two figures? 参考答案:0.199(作者原答案98) 思路: 74. 最近演了3部电影。调查了100个人,其中20人看了所有3部,10人什么都没看。看了每部电影的人数分别为:47,48,55。问:只看了2部的人数? A 20, B 30, C 40, D 70, E 90。 参考答案:a 思路: |A u B u C| = |A| + |B| + |C| - |AB| -|AC| - |BC| + |ABC|,要求的是|AB| +|AC| + |BC| - 3|ABC| 75. 5^k是99-199(包括99and 199)中odd整数连乘技的因子,问k的最大指是多少? 参考答案:13 思路: 点击收听单词发音
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