1. PQR is a equilateral triangle. There is a line ST connecting two of PQR's sides. S and T are both the intersection points. The line ST divides both the PQR's sides into 2 portions, i.e. 2 and 6 in length, respectively. Find the area of the shaded region (i.e. PQST, inside the triangle). Note that STR is also an equilateral triangle.
2. Col A: Standard deviation of 50, 60, 70, 80 & 90
Col B: Standard deviation of 50, 55, 70, 85 & 90
3. 3x+y=12
x+y/3=4
Col A: x
Col B: y
4. Which of the following can be written in the form x^3?
(a) (7^3)(8)(9)
(b) (7^3)(8)(9^3)
(c) (7)(8^3)(9^3)
etc
5. A rectangular block has length 20m, width 10m and height 4m, find its volume in terms of cm^3. (I can't remember the figure exactly, and yes, it is that simple)
(a) 8000
(b) 800000
(c) 800000000
etc
6. A rectangular block has length 50inch, width 10inch and height 6inch. Its weight is 17kg. Find its density in terms of kg/(feet^3).
7. What is the range of numbers between 400 and 700 that are divisible by 2 and 3?
8. p(x)=x^16 – x^17
Col A : p(7/8)
Col B : p(8/7)
9. x > 7999
Col A: the thousands' digits of x
Col B: 7
10. n is a two digit positive integer. k is the tens' digit of n and 5 is the units' digit of n. Now e=(n^2-25)/100. We can therefore write e in terms of k by
(a) 100k
(b) 100k-25
(c) k^2
(d) k^2 -1
(e) k^2-k
11. A square which area is 16 is drawn. A circle is also drawn inside the square (i.e. not touching any side of the square).
Col A: Area of the circle
Col B: 4pi
12. A circle is drawn. PQ is a tangential line to the circle, where P is the intersection point and Q is just an arbitrary point.
Col A: the length from point Q to the center of the circle
Col B: radius of the circle
Analytical Writing
Issue: (59?) "Too much emphasis is placed on role models. Instead of copying others, people should learn to think and act independently and thus make the choices that are best for them."
Argument: (235?)
"The Solano school district should do away with its music education programs. After all, music programs are not especially popular in our schools: only 20 percent of our high school students participated in music programs last year. Furthermore, very few of the Solano district's college-bound students are interested in majoring in music at the university level. Also, when the school district of our neighboring town of Rutherford eliminated its music programs two years ago, the overall grade point average in the high school increased by 10 percent the next year. Surely the money spent on Solano music programs could be better used to improve the quality of traditional academic courses."