Please review the following sample questions. If you need help with these question, or other similar questions, contact me at 845-429-5025 or lowell.parker@esc.edu.

SAT
The following questions are typical of the mathematical mind games that show up on the SAT. If you do not know how to handle questions like these, you are not ready to do well on this exam.

1. The price of ground coffee beans is d dollars for 8 ounces and each ounce makes c cups of brewed coffee. In terms of c and d, what is the dollar cost of the ground coffee beans required to make 1 cup of brewed coffee?

(A) d/8c
(B) cd/8
(C) 8c/d
(D) 8d/c
(E) 8cd

2. There are 3 roads from Plattsville to Ocean Heights and 4 roads from Ocean Heights to Bay Cove. If Martina drives from Plattsville to Bay Cove and back, passes through Ocean Heights in both directions, and does not travel any road twice, how many different routes for the trip are possible?

(A) 72
(B) 36
(C) 24
(D) 18
(E) 12

The following two questions are free response:

3. A barrel contains only apples and oranges. There are twice as many apples as oranges. The apples are either red or yellow, and 4 times as many apples are red as are yellow. If one piece of fruit is to be drawn at random from the barrel, what is the probability that the piece drawn will be a yellow apple?

4. Alice and Corinne stand back-to-back. They each take 10 steps in opposite directions away from each other and stop. (All of Alice’s steps are the same length and all of Corinne’s steps are the same length.) Alice then turns around, walks toward Corinne, and reaches her in 17 steps. The length of one of Alice’s steps is how many times the length of one of Corinne’s steps?

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Serving Rockland, Westchester, Orange, and Bergen Counties
Lowell Parker, Ph.D.
845-429-5025
lowell.parker@esc.edu