Q11. The circle above has center O and d iameter AB. The two semicircles have diameters OA and OB. If the circumference of the circle is 36π, what is the length of the curved path from A to B through O? A) 6πB) 9πC) 18πD) 24πE) 36πx f(x) 0 a 1 24 2 b Q12. The table above shows some values for the functionf. Iffis a linear function, what is the value of a+b? A) 24 B) 36 C) 48 D) 72 E) Cannot be determined from the information given Q14. In the xy-plane, the equation of line lisy = 2x + 5. If line mis the reflection of line lin the x-axis, what is the equation of line m? A)y = -2x –5 B)y = -2x + 5 C)y = 2x –5 D)y = x –5 E)y = x + 5
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Q16. If x is an integer greater than 1 and if y = x = 1/x, which of the following
must be true?
I. y ≠ xII. y is an integer
III. xy > x2
A) I only
B) III only
C) I and II only
D) I and III only
E) I, II, and III
Q8. A total of k passengers went on a bus trip. Each of the n buses that were used
to transport the passengers could seat a maximum of x passengers. If one bus
had 3 empty seats and the remaining buses were filled, which of the following
expresses the relationship among n, x, and k ?
A) nx – 3 = k
B) nx + 3 = k
C) n + x + 3 = k
D) nk = x + 3
E) nk = x – 3
Q12. A list of numbers consists of p positive and n negative numbers. If anumber is picked at random from this list, the probability that the number is
positive is 3/5. What is the value of n/p?
A) 3/8
B) 5/8
C) 2/3
D) 3/2
E) 8/3
Q14. For how many ordered pairs of positive integers (x, y) is 2x + 3y < 6?
A) One
B) Two
C) Three
D) Five
E) Seven
Q17. In the xy-plane, line l passes through the origin and is perpendicular to the
line 4x + y = k, where k is a constant. If the two lines intersect at the point (t, t +
Q13. If x, y, and z are positive integers such that the value of x + y is even and the
value of ( x + y) 2 + x + z is odd, which of the following must be true?
A) x is odd
B) x is even
C) If z is even, then x is odd
D) If z is even, then xy is even
E) xy is even
Q16. The pattern shown above is composed of rectangles. This pattern is used
repeatedly to completely cover a rectangular region 12L units long and 10L units
wide. How many rectangles of dimension L by W are needed?
A) 30
B) 36
C) 100
D) 150
E) 180
Q10. How old was a person exactly 1 years ago if exactly x years ago the person
was y years old?
A) y – 1
B) y – x – 1
C) x – y – 1
D) y + x + 1
E) y + x – 1
Q15. When it is noon eastern standard time (EST) in New York City, it is 9:00 A.M.
Pacific standard time (PST) in San Francisco. A plane took off from New York City
at noon EST and arrived in San Francisco at 4:00 P.M PST on the same day. If a
second plane left San Francisco at noon PST and took exactly the same amount oftime for the trip, what was the plane’s arrival time (EST) in New York City?