[計量] 好多題計量請教
1. For all real numbers, xy+x=5 and y^2+2y=19
Column A Column B
x/y+1 1/4 ANS: C 這題不太會算
2. At a congress, 50% of the congressmen are from party A,
40% are from party B, and the remainder are from other parties.
If 80% of all the congressmen vote no on a certain issue,
What will the LEAST percent of the congressmen from party B vote no?
(A) 10%
(B) 20%
(C) 30%
(D) 40%
(E) 50% ANS:(E) 我算是80%-50%-10%=20%
3.
Column A Column B
The number of ways 720
that a bracelet may be
strung up with seven
different color beads. ANS: B 不過我用圓桌坐人法算是 C
4. In the xy-coordinate plane, the vertices of the triangle ABC are
A (15,1), B (9,3) and C (4,5). What is the slope of the altitude to side
線段AB?
(A) -1/3
(B) 1/3
(C) 2/3
(D) -3
(E) 3 ANS (E) 我算成線段AB的斜率
5.
Column A Column B
The percent increase of 400
the area of a circle if
its diameter is doubled. ANS: B 打著打著突然想通了，A是增加300%
6. If the perpendicular bisector of the segment with endpoints
A (1,2) and B (2,4) contains the point (4,C), then the value C is
(A) 7
(B) 4
(C) 4/7
(D) 7/4
(E) -4 ANS:(D) 看不懂題目
7. If a cube has an edgeof length 10, then the length of the segment
connecting the center of a face of the cube to any vertex not contained
in the plane of that face is
(A) √6
(B) 6√5
(C) 5√6
(D) 3√5
(E) 10√6 ANS:(C) 完全看不懂
8. After the first term, rach term in a sequence is 3 greater than 1/3 of
the preceding term. If t is the first term of the sequence and t≠0,
what is the ratio of the second term to the first term?
(A) t+9/3
(B) t+3/3
(C) t+9/3t ANS:(C)
(D) t+3/3t 題目意思是不是第一項的三分之一加三等於第二項，我怎麼算(A)
(E) 9-2t/3
9. For all positive numbers, x-7, x, and x+1 are the lengths of sides of a
right triangle.
Column A Column B
x 12 ANS: 我用畢氏定理算出來不是有理數
10. If the sum of the two numbers is 21, and the difference of their square
is 63, what is the greater of the two numbers?
(A) 8
(B) 9
(C) 10
(D) 11
(E) 12 ANS:(E) 最後一句不太懂
11. Of the 120 people in a room, 3/5 are women, and 2/3 are married.
Column A Column B
The maximum number of
women in the room who 72 ANS: B 我算 C
could be married. 女人的數量72，結婚的數量80，最多72人
12. Three friends are playing a game in which each person simultaneously
displays one of three hand signs:剪刀、石頭、布. How many different
combinations of the signs are possible?
(A) 7
(B) 9
(C) 10
(D) 12
(E) 27 ANS:(C) 想不出來第十種組合是甚麼....
13. A 1,000 bonus is to be divided among three people so that Jane receives
twice as much as Robert, who receives 1/5 as much as Wendy. How much
money should Wendy receive?
(A) 100
(B) 125
(C) 250
(D) 375
(E) 625 ANS:(E) 誰是誰的幾倍一直搞不清楚
14.
Column A Column B
The number of pounds
of chocolate that can 5
be purchased for 12USD
if 4.5 pounds of
chocolate cost 10USD. ANS: A 題目看不懂
15. The sum of the digits of a three-digit number is 16. The tens digit of
the number is 3 times the unit digit, which is 1/4 of the hundreds digit.
Column A Column B
The three-digit number 800 ANS: A 跟13.題一樣的問題
考試前一個月開始準備數學，儘管數學沒有特強，不過高中是三類組
大學科系也是二類組，對數學的確有下過幾年的苦工，所以對Q還算有信心
看到各版友輕而易舉的屠殺Q，讓我心情不禁更加輕鬆
加上今天開始寫題目發現難易度的確如眾板友們所說的那樣沒有很難
但是超長的題目、誰是誰的幾倍、一堆of繞來繞去讓我題目就看得暈頭轉向
加上大三以後就沒在碰這類型的數學，很多解題該注意的小細節跟小技巧都已經忘光了
遇到有問題的題目，大多都是題目看不懂或者看錯題目
一經過板友的詳解後就豁然開朗，所以想請教一下，除了一直做補習班發的題目之外
還有甚麼方是可以加強我閱讀題目的速度，跟理解題意的能力呢？
很多問題，還請各位不吝賜教，謝謝！
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