1. A Zumba fitness class has 48 students enrolled. One-third of the females are less than 6-ft. tall, and three-fourths of the class are males. How many females are 6 ft. or taller in height?

2.  If x and y are integers, what is the value of z?

(1)   z = 3^{(x – y)}

(2)  2x = 2y + 8

3. If a + b – c -de = 0 and d ≠ 0, then e =

4.  In the triangle below, which angle measures the greatest?

(1)   a + b > c

(2)   a² > b² + c²

Question 5 is based on the data from the two graphs below.

5. According to the graphs above, approximately what percent of the 2011 spectator sports dollar was spent on baseball?    

6. If 40% of Chris’s current annual income comes from interest on dividends, and he anticipates an increase of 25% on next year’s dividend returns, how much money can he expect from dividends next year?

         (1)    This year, Chris’s total income will be $80,000.

         (2)   Chris’s total income next year is expected to be $100,000.

7.    Six horses compete in a race with different 1st-, 2nd-, and 3rd-place finishes. How much greater is the number of possible race finishes compared to the number of possible committees of three that can be formed from a group of six people?

8.  What is the value of (x + 4y)²?

(1)    What is the value of (x + 4y)²?

(2)   (x – 4y)² = 49

9. Xavier is enrolled in a biology class that requires four quizzes, a midterm exam, and a final exam. Each quiz is worth 5% of the total grade. The final exam is worth three times as much as the midterm exam. At the low end of the grading scale, a grade of “A” can be earned with an average of 87%. Xavier’s quiz percentages are 95%, 85%, 93%, and 87%, and he received a score of 75% on the midterm exam. What is the minimum score necessary on the final exam in order for Xavier to receive an “A” in the class?

10.  How long will it take Jonas and Rachel to do the job together?

(1)    Jonas works twice as fast as Rachel and can do the job in 1 hour alone.

(2)   Jonas and Rachel working together is 20 minutes less time than Jonas working alone.

13. If #y = (1 – y)² for all real values of y and (y + 2)² = #(y +1), then y =

18. On a number line, integers A, B, C, and D are such that 0 < A < B < C < D. If AB:BD = 1:5 and BC = CD, then what is the length of AD?

        (1) D = 20

        (2) BC = 5

20. Are Jorge and Manuel the same age?

(1)    Jorge is not the same age as Maria.

(2)   Maria is not the same age as Manuel.

22. Does the rhombus or the equilateral triangle have the greater area?

        (1)   The perimeter of the triangle is 18 and the perimeter of the rhombus is 20.

        (2)   One of the angles of the triangle is equal to one of the angles of the rhombus.

Question 23 refers to the following data set.

A = {3, 5, 7, 8,}

B = {6, 7, 8, 9, 11}

23. If one integer is randomly selected from set A and another integer is randomly selected from set B, what is the probability that their product will be between 30 and 45?

24. In the equation x² – kx – 4 = 8, x has two possible values. If x > 0, what is value of x?

        (1)   k = 11

        (2)   x = –1 is also a solution to the equation.

25. In the graph below, what is the approximate median for the number of units sold in all departments?

27. The points (q, r) and (q + r, 2q – r) lie on a line with equation 2x + 3y = 5. What is the value of 5q + r?

28. x = ?

        (1)   |2x – 1| = 7

        (2)   x² – 8x + 16 = 0

29.  A volleyball team must consist of 3 men and 3 women. If there are 4 men and 6 women available, how many different teams are possible?

30. Which of the two integers r and p is greater?

        (1)   r² > p²

        (2)   r + p < 0

32.          In 2012, Santa Fe had 485,000 registered voters. In 2011, there were 415,000 registered voters. What is the approximate percent increase in registered voters?

33. What year was James born?

(1)   James was born 31 months before Paula.

(2)   Paula was born in 2001.

35. If x, y, and z are unequal prime numbers, what is the value of z?

        (1)   x²y² = 484

        (2)   xz = 55

37. What is the value of 2x – 3y?

        (1)   4x² – 12xy + 9y² = 16

        (2)   2x > 3y