1) If a and b are positive integers, which of the following is equivalent to (5a)^4b - (5a) ^2b ?

(A) (5a)^2b
(B) 5^b(a⁴-a²)
(C) (5a)^b[(5a)⁴ - (5a)²]
(D) (5a)^2b[(5a)^2b -1]
(E) (5a)^2b[(5a)² -1]

2) In the figure below, what is the average (arithmetic mean) of r, s, t, u and v?

(A) 48
(B) 60
(C) 72
(D) 80
(E) 240

3) All of Turnberry Tutor's students score high on the SAT.

If the statement above is true, which of the following must also be true?

(A) If Kate scores high on the SAT, then she is not Turnberry Tutor's student.
(B) If John scores high on the SAT, then he is Turnberry Tutor's student.
(C) If Jill does not score high on the SAT, then she is not Turnberry Tutor's student.
(D) If Jack is Turnberry Tutor's student, then he does not score high on the SAT.
(E) If Anne is not Turnberry Tutor's student, then she does not score high on the SAT.

4) In the figure below, ABCD is a rectangle. The area of Δ CDE is 10 and AE = 2/3 AD. What is the area of rectangle ABCD?

(A) 20
(B) 30
(C) 40
(D) 50
(E) 60

5) In the figure below, ABCD is a square. If AB = 8, find the area of Δ NOP?

(A) 2√2
(B) 2√3
(C) 4
(D) 4√2
(E) 4√3

6) Jane, Michael, John, Rose and Pete together buy x notebooks and split the notebooks evenly amongst themselves. If John gives 2/3 of his notebooks to Jane, and Jane then gives 1/5 of her new number of notebooks to Pete, how many notebooks does Pete now have in terms of x?

(A)
(B)
(C)
(D)
(E)

7) If -1 < x < 0, which of the following must be true?
I. x³ < x
II. x < x ²
III. 1/x < x

(A) None
(B) I only
(C) II and III only
(D) III only
(E) I, II, and III

8) At the local community center, sixty percent of a members participate in the theater program. Thirty percent of the b non-members participate in the theater program. In terms of a and b, which of the following represents the percent of people (members and non-members) that participate in the theater program at the local community center?

(A)
(B)
(C)
(D)
(E)

9) There are 250 students who participate in the student-athlete program at school. Each student-athlete plays basketball only, football only, or both basketball and football. If 150 of the student-athletes play basketball and 180 of the student-athletes play football, how many student-athletes play both basketball and football?

(A) 70
(B) 80
(C) 100
(D) 165
(E) 330

10) 8 liters of a 40% solution of alcohol in water are mixed with 4 liters of a 20% alcohol in water solution. The percent alcohol in the new solution is

(A) 30%
(B) 33 1/3%
(C) 50%
(D) 60%
(E) 66 2/3%

11) She led the way to her _________ closet, _________with an abounding array of shoes, handbags, belts, headbands, scarves, hats and wigs that spanned seven diverse decades of fashion.

(A) eclectic...brimming
(B) dingy...strewn
(C) miniature...scattered
(D) haphazard...organized
(E) unpretentious...adorned

12) She appreciated the narrator's _________ voice, which allowed her to _________ her own opinion about the characters without any additional bias.

(A) dry...concoct
(B) omniscient...devise
(C) haughty...contrive
(D) nonjudgmental...formulate
(E) jubilant...express

13) The employee was _________ when he received a meager salary; the _________ seemed unreasonable considering the countless hours he had devoted to the project.

(A) distraught...distribution
(B) honored...presentation
(C) flabbergasted...remuneration
(D) dejected...allocation
(E) anxious...allotment

14) With a _________for predicting the outcome of football games, many of his friends speculated that he had natural _________ abilities.

(A) proclivity...prescient
(B) penchant...astute
(C) propensity...athletic
(D) yearning...analytical
(E) scholarship...lucrative

15) The architect who designed the museum believed that providing an aerial rooftop space accessible to patrons would not only add to the museum's architectural appeal and also provide a calming retreat from the bustling city streets.

(A) and also provide a calming retreat from the bustling city streets
(B) as it also provides a calming retreat from the bustling city streets
(C) and would provide a calming retreat from the bustling city streets
(D) but also provide a calming retreat from the bustling city streets
(E) and provide a calming retreat from the bustling city streets also

16) Hematology and oncology are distinct, if interrelated, medical fields.

(A) distinct, if interrelated, medical fields
(B) interrelated medical fields, being, however, distinct
(C) distinct medical fields, whereas they are interrelated
(D) distinct medical fields when interrelated
(E) medical fields that are distinct although being interrelated

17) While swimming in the pool, the woman's engagement ring slipped off her finger and got lost.

(A) the woman's engagement ring slipped off her finger and got lost
(B) the engagement ring slipped off the woman's finger and got lost
(C) the engagement ring slipped off and got lost from the woman's finger
(D) the slipping off of the engagement ring from the woman's finger caused it to get lost
(E) the woman lost her engagement ring, which slipped off her finger.

(A)
(B)
(C)
(D)
(E)

(A)
(B)
(C)
(D)
(E)

(A)
(B)
(C)
(D)
(E)