IIC questions from REAL SAT II's

Discus: SAT/ACT Tests and Test Preparation: June 2004 Archive: IIC questions from REAL SAT II's
 By Jared (Jared) on Friday, June 04, 2004 - 09:00 pm: Edit

1. If P and Q are different points in a plane, the set of all points in this plane that are closer to P than to Q is:

A) the region of the plane on one side of a line B) the interior of a square C) a wedge-shaped region of the plane D) the region of the plane bounded by a parabola E) the interior of a circle

2. If 6.31 (exponent m) = 3.02 (exponent n), what is the value of m/n?

A) -.32 B) .32 C) .48 D) .60 E) 1.67

3. If the 20th term of an arithmetic sequence is 100 and the 40th term of the sequence is 250, what is the first term of the sequence?

A) -50 B) -42.5 C) 5 D) 42.5 E) 50

4. The radius of the base of a right circular cone is 6 and the radius of a parallel cross section is 4. If the distance between the base and the cross section is 8, what is the height of the cone?

A) 11 B) 13 1/3 C) 16 D) 20 E) 24

Thanks...you can answer any or all...thanks everyone for their help!

 By Jared (Jared) on Friday, June 04, 2004 - 09:17 pm: Edit

bump

 By Luckystar1111 (Luckystar1111) on Friday, June 04, 2004 - 09:31 pm: Edit

1. The set of points equidistant to P and Q form a line. Therefore, the set of points closer to P is this line, with one side (the side closer to P) shaded in.

2. 3.02^1.67=6.31. So, (3.02^1.67)=(6.31)^1. If m=1, then n=1.67. So, m/n=.6.

3. It takes 20 "jumps" to get from the 20th to 40th terms, and 20 of these "jumps" from 100 to 250. Thus, each "jump" must be 150/20, or 7.5. The first term of the sequence is 19 terms away from the 20th term. 19*7.5=142.5. Take 142.5 away from the 20th term(100), and this gives you -42.5.

4. The parallel cross section is in proportion to the original right circular cone. So set up the proportion: base of original/height of original=base of cross section/height of cross section. This gives you 6/8+x=4/x. Solving for x gives you 16, so the height of the orginal cone is 16=x, or 24.

Hopes this helps, and good luck tomorrow. I am also taking IIC!

 By Jared (Jared) on Friday, June 04, 2004 - 10:08 pm: Edit

Thanks a lot! good luck too!

 By Mr_Sanguine (Mr_Sanguine) on Friday, June 04, 2004 - 10:11 pm: Edit

What exactly is meant by "cross section"?