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24. According to the formula F = 
C + 32 temperature in degrees Fahrenheit (F) increases by 27, by how much does the temperature in degrees Celsius (C) increase?
(A) 9
(B) 15
(C) 47
(D) 48 
(E) 59
25. For all values of y, let y * be defined by y * = y 2 - 1. Which of the following is equal to (y *) *?
(A) y 4 - 1
(B) y4 – y2 - 1
(C) y4 + y2 - 1
(D) y4 - 2y2
(E) y4 - 2y2 + 1
26. If three different circles are drawn on a piece of paper, at most how many points can be common to all three?
(A) None
(B) One
(C) Two
(D) Three
(E) Six
27. A club is buying boxes of candy bars to sell for a fund-raiser. If each box contains c candy bars, and each member sells x bars each day, how many boxes are needed to supply enough candy bars for 3 c members to sell for 5 days?
(A) 15 c 2 x
(B) 
(C) 
(D) 
(E) 15 x
28. In the figure below, the coordinates of P are (10 – 2 a, 0) and the coordinates of Q are (10, a). A point in square ORST is to be chosen at random. If the probability that the point will be in the shaded triangle is 
, what is the value of a?
(A) 
(B) 
(C) 2 
(D) 2 
(E) 5
29. Differentiate the function in the below.
(A) 
(B) 1
(C) 2
(D) 3
(E) -1
30. Find the integral of the function in the below.
(A) 
(B) 
(C) 
(D) 
(E) 
TEST 05
1. The total cost of 5 equally priced notebooks is $12.50. If the cost per notebook is reduced by $1, how much will 3 of these notebooks cost at the new rate?
(A) $4.50
(B) $5.00
(C) $6.50
(D) $7.50
(E) $9.50
2. If x 2 – 64 = 0, which of the following could be a value of x?
(A) - 8
(B) - 4
(C) 0
(D) 16
(E) 32
3. The digits of the positive three-digit integer n are 7, 8, and 9. How many possible values are there for?
(A) Three
(B) Four
(C) Six
(D) Eight
(E) Nine
4. In the figure below, ∠WOY and ∠XOZ each have measure 80°. If r = 45, what is the value of t?
(A) 125
(B) 80
(C) 55
(D) 50
(E) 45
5. In the figure below, if the coordinates of points X and Y are added together, the result will be the coordinate of a point between which two consecutive integers?
(A) – 3 and - 2
(B) – 2 and - 1
(C) – 1 and 0
(D) 0 and 1
(E) 2 and 3
6. In a sequence of numbers, the first number is 4 and each number after the first is 1 more than 5 times the preceding number. What is the third number in the sequence?
(A) 16
(B) 21
(C) 94
(D) 96
(E) 106
7. It took Kia 6 hours to drive from Ashton to Farley, passing through Belville, Clinton, Dryden, and Edgewood on the way. The graph below shows where she was along the route during the 6 hours of the trip. According to the graph, approximately how long, in hours, did it take Kia to drive from Dryden to Edgewood?
(A) 1
(B) 2.5
(C) 3
(D) 3.5
(E) 4.5
8. If the average of 4 and j is 6 and the average of 10 and k is 10, what is the average of j and k?
(A) 5
(B) 6
(C) 8
(D) 9
(E) 10
9. Which of the following could be the graph in the xy -plane of the function f (x) = 2 x + 3?
(A)
(B)
(C)
(D)
(E)
10. If n is a positive odd integer, then (n + 1)(n + 2) could equal which of the following?
(A) 10
(B) 15
(C) 20
(D) 25
(E) 30
11. Point S is the point with the greatest y -coordinate on the semicircle shown below. What is the x –coordinate of point R?
(A) – 5.5
(B) - 4
(C) – 3.5
(D) - 3
(E) – 2.5
12. For 12 bottles of shampoo of various brands, the cost and volume of each are displayed in the scatter plot below, and the line of best fit for the data is shown. Of the following, which is closest to the average (arithmetic mean) cost per ounce for the 12 bottles?
(A) $0.06
(B) $0.09
(C) $0.12
(D) $0.15
(E) $0.18
13. The graph of a quadratic function and the graph of a linear function in the xy -plane can intersect in at most how many points?
(A) One
(B) Two
(C) Three
(D) Four
(E) More than four
14. In the figure below, if AB = 6 and BC = 12, what is the area of the shaded region?
(A) 9
(B) 12
(C) 16
(D) 18
(E) 20
15. If a and b are positive integers and 9(3a) = 3b, what is a in terms of b?
(A) b - 2
(B) b - 1
(C) b
(D) b + 1
(E) b + 2
16. The tin can in the figure below is a cylinder that is 8 inches high and has a base of radius 3 inches. Of 5 pencils with lengths 6 inches, 8.5 inches, 9 inches, 10.5 inches, and 12 inches, how many cannot fit entirely inside the can?
(A) One
(B) Two
(C) Three
(D) Four
(E) Five
17. When the number k is multiplied by 5, the result is the same as when 5 is added to k. What is the value of 4 k?
(A) 
(B) 1
(C) 
(D) 4
(E) 5
18. A circle (not drawn) passes through point A in the figure below. What could be the total number of points of intersection of this circle and 
?
I. 1
II. 3
III. 4
(A) I only
(B) II only
(C) I and II only
(D) II and III only
(E) I, II, and III
19. The function f graphed below is defined for -3 
x 
6. For which of the following values of x is f (x) < | f (x)|?
(A) - 3
(B) - 2
(C) - 1
(D) 1
(E) 5
20. If x and y are numbers such that (x + 9)(y – 9) = 0, what is the smallest possible value of x 2 + y 2?
(A) 0
(B) 9
(C) 18
(D) 81
(E) 162
21. A new roll of film has p pictures. After t pictures are taken, there are k pictures left. What is t in terms of p and k?
(A) p + k
(B) p - k
(C) k – p
(D) kp
(E) 
22. The prime number p is a factor of 30 and is also a factor of 42. How many possible values are there for p?
(A) One
(B) Two
(C) Three
(D) Four
(E) Five
23. According to the graph below, for which month was sales minus cost greatest?
(A) June
(B) July
(C) August
(D) September
(E) October
24. In the figure below, O is the center of the circle and segment 
is tangent to the circle at point B. If the measure of ∠ABO is x °, how many possible values are there for x?
(A) One
(B) Two
(C) Three
(D) Four
(E) More than four
25. The bus fare from city A to city B is $5 more for adults than for children. If a group of 5 adults and 6 children pay a total of $124 to travel by bus from city A to city B, what is the cost of the ticket for one adult?
(A) $11
(B) $12
(C) $14
(D) $16
(E) $17
26. The smallest squares in Figure A and Figure B are all equal in size. If the area of Figure A is 33 square centimeters, what is the area, in square centimeters, of Figure B?
(A) 15
(B) 18
(C) 21
(D) 24
(E) 28
27. If the steps below are followed in order, which of the following is a simplified expression for the result?
1. Add 4 y to x.
2. Multiply the sum by 3.
3. Subtract y – 3 x from the product.
(A) 11 y
(B) 13 y
(C) 2 x + 11 y
(D) 4 x + 13 y
(E) 6 x + 11 y
28. In triangle XYZ below, XW = 2, WZ = 8, and XY = 6. What is the area of triangle WYZ?
(A) 6
(B) 12
(C) 18
(D) 24
(E) 30
29. Differentiate the function in the below.
(A) 
(B) 
(C) 
(D) 
(E) 
30. Find the integral of the function in the below.
(A) 
(B) 
(C) 
(D) 
(E) 
TEST 06
1. Which of the following triples (x, y, z) does not satisfy 
21?
(A) (4, 5, 1)
(B) (5, 4, 1)
(C) (2, 10, 2)
(D) (7, 3, 0)
(E) (3, 3, 12)
2. Susan had 60 trading cards. After giving away g cards and receiving r cards, she had 70 cards. What is the value of r - g?
(A) 10
(B) 20
(C) 30
(D) 40
(E) 50
3. If k is a positive integer divisible by 7, and if k < 90, what is the greatest possible value of k?
(A) 83
(B) 84
(C) 87
(D) 88
(E) 89
4. The graph below shows the monthly sales for Company A and Company B for the second half of 2004. What was the largest one-month decrease in sales for Company B during this period of time?
(A) $45,000
(B) $30,000
(C) $25,000
(D) $20,000
(E) $15,000
5. For parties, the number of cases of juice a caterer orders is directly proportional to the number of people attending. If the caterer orders 3 cases for a party with 40 people attending, how many cases would she order for a party with 280 people attending?
(A) 7
(B) 10
(C) 14
(D) 18
(E) 21
6. Which of the following is an element of both the set of positive odd integers and the set of prime numbers?
(A) 2
(B) 5
(C) 9
(D) 12
(E) 21
7. The length of a rectangular garden is 3 feet more than its width. If the length of the garden is 9 feet, what is the area of the garden in square feet?
(A) 27
(B) 36
(C) 54
(D) 81
(E) 108
8. On the number line below, the tick marks are equally spaced. What is the value of b - a?
(A) 
(B) 
(C) 
(D) 
(E) 
9. Jamal has some coins in his pocket. Some of these coins are quarters, and none of the quarters in his pocket are dated earlier than 2000. Which of the following must be true?
(A) None of the coins in Jamal’s pocket are dated earlier than 2000.
(B) Some of the coins in Jamal’s pocket are dated earlier than 2000.
(C) Some of the coins in Jamal’s pocket are dated 2000 or later.
(D) Most of the coins in Jamal’s pocket are either quarters or dated earlier than 2000.
(E) Most of the coins in Jamal’s pocket are not quarters.
10. The circumference of the circle with center O shown bellow is 2 π. What is the area of the shaded region?
(A) 
(B) 
(C) 1
(D) 0.5
(E) 0.25
11. If a, b, and c are positive integers, and if (a – c) b = 0, which of the following must be true?
(A) a < b
(B) b < c
(C) a = b
(D) a = c
(E) b = c
12. In the figure below, regular pentagon ABCDE is divided into three nonoverlapping triangles. Which of the following is true about the three triangles?
(A) They have equal areas.
(B) They have equal perimeters.
(C) They are similar.
(D) They are isosceles.
(E) They each have at least one angle of measure 
.
13. If p < -5 or p > 5, which of the following must be true?
I. p2 > 5
II. |p| > 5
III. p3 > 5
(A) III only
(B) I and II only
(C) I and III only
(D) II and III only
(E) I, II, and III
14. In the figure below, a < 40 and b = c + 1. If c is an integer, what is the least possible value of b?
(A) 30
(B) 39
(C) 50
(D) 61
(E) 71
15. For all positive integers a and b, let ▲ be defined by a ▲ b = a2 + b2 – 2. If c and d are positive integers, which of the following cannot be the value of c ▲ d?
(A) 0
(B) 2
(C) 3
(D) 6
(E) 8
16. The functions r and t are defined below. For how many values of a is it true that r (a) = t (a)?
r (x) = x 2
t (x) = x – 2
(A) None
(B) One
(C) Two
(D) Three
(E) More than three
17. The function y = f (x) defined for - 5 
6, is graphed below. Which of the following gives all values of x for which f (x) is positive?
(A) 0 < x 6
(B) 5 < x 6
(C) – 5 x < 2
(D) – 4 < x < 1 and 5 < x 6
(E) – 5 < x < - 4 and 1 < x < 5
18. In the xy -plane, an equation of line 
is y = 3 x – 1. If line m is the reflection of line in the y -axis, what is an equation of line m?
(A) y = - 3 x - 1
(B) y = - 3 x + 1
(C) y = 3 x + 1
(D) y = - 
- 1
(E) y = - 
+ 1
19. For which of the following values for k will the system of equations below have no solution?
3 x + 7 y = 12
6 x – ky = 6
(A) - 14
(B) - 7
(C) 0
(D) 7
(E) 14
20. The table below shows the number of items 100 customers purchased from a hardware store over a 4 -hour period. Which of the following can be determined from the information in the table?
I. The average (arithmetic mean) number of items purchased per customer
II. The median number of items purchased per customer
III. The mode of the number of items purchased per customer
(A) None
(B) I and II only
(C) I and III only
(D) II and III only
(E) I, II, and III
21. There are 6 bookcases in a house. Each bookcase contains at least 125 books but not more than 160 books. Which of the following could be the total number of books in all 6 bookcases?
(A) 500
(B) 625
(C) 725
(D) 925
(E) 1,000
22. In the figure below, lines k, 
and m are parallel. If y = 125, what is the value of x + z?
(A) 90
(B) 95
(C) 100
(D) 105
(E) 110
23. Graphed below is the amount that a computer shop charges for a repair job as a function of the number of hours required to do the job. Which of the following is most consistent with the information in the graph?
(A) The shop charges the same amount for any job of any length.
(B) The shop charges at an hourly rate for work with no fixed initial amount.
(C) The shop charges a fixed initial amount plus an hourly rate for work, starting at the beginning of the first hour.
(D) The shop charges a fixed amount for the first 2 hours or less of work. The shop charges at an hourly rate for work beyond 2 hours.
(E) The shop charges at an hourly rate for work beginning at the start of the first hour. This rate decreases after 2 hours of work.
24. For how many values of t is the equation below true?
|t – 9| = 0
(A) Three
(B) Two
(C) One
(D) None
(E) More than three
25. An amusement park awards tickets that can be exchanged for prizes to reward high scores at an arcade game. Some scores and the corresponding number of prize tickets awarded are shown in the table below. For scores from 100 up to 200, the number of tickets awarded increases by a constant amount for each 10 -point score increase. How many tickets would be awarded for a score of 180?
(A) 
(B) 
(C) 
(D) 5
(E) 
26. There are k students in a class, only one of whom is a junior. If 5 seniors are added to the class, how many students in the class will not be juniors?
(A) k + 1
(B) k + 2
(C) k + 3
(D) k + 4
(E) k + 5
27. The quadratic function graphed below has equation f (x) = a – x 2. Which of the following must be true?
(A) a > 0
(B) a < 0
(C) a is even
(D) a is odd
(E) a is the square of an integer.
28. Which of the following inequalities is true about the lengths a and b of the sides of the triangle below?
(A) 0 
(a + b)2 < 20
(B) 20 
(a + b)2 < 40
(C) 40 (a + b)2 < 100
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