B) The mild temperature was lowered by a heavy rain in the morning, and the temperature dropped lower by evening. 1 page

E) 10

2. What is 50% of 50% of 50?

(A) 0.125

(B) 0.5

(C) 1.25

(D) 5.0

E) 12.5

3. Which of the following is an expression for “the product of 5 and the average (arithmetic mean) of x and y”?

(A)

(B)

(C)

(D)

(E)

4. In the figure below, what is the value of y?

A) 20

(B) 40

(C) 50

(D) 80

(E) It cannot be determined from the information given.

5. Assume that light travels at 300,000 kilometers per second, and that a light-minute is the distance that light travels in 1 minute. If the sun is 150,000,000 kilometers from Earth, how many light-minutes is the sun from Earth?

(A) 0.002

(B) 0.12

(C) 8

(D) 20

(E) 500

6. If it is now 1:15, what time will it be when the hour hand has moved through an angle of 10°?

(A) 1:25

(B) 1:35

(C) 2:15

(D) 3:15

(E) 11:15

7. If d is the length of a diagonal of a square, what does d² represent?

(A) the area of the square

B) twice the area of the square

(C) the area of the square

(D) 4 times the area of the square

(E) the area of the square

8. If a < b < c < d and the average (arithmetic mean) of a, b, c, and d is 10, which of the following must be true?

I. a + d = b + c

II. a < 10 and d > 10

III. b < 10 and c > 10

(A) I only

B) II only

(C) I and II only

(D) I and III only

(E) I, II, and III

9. A woman takes a horse out of a stable and rides it 3 miles north, 8 miles east, and then 3 miles north again to her house. How far is it, in miles, from the stable to her house?

A) 10

(B) 12

(C) 14

(D) 16

(E) It cannot be determined from the information given.

10. Two sides of a right triangle are 5 and 6. Which of the following could be the length of the third side?

I.

II.

III.

(A) I only

(B) III only

(C) I and II only

D) I and III only

(E) I, II, and III

11. Find the area of the region bounded by the line y = 3x + 2, the x-axis and the ordinates x = –1 and x = 1

(A)

(B) 4

(C)

(D)

(E)

12. The figure below shows a circle inscribed in a semicircle. If a point is chosen at random inside the semicircle, what is the probability that the point is in the shaded region?

(A)

(B)

(C)

(D)

(E)

13. When a digital clock reads 3:47, the sum of the digits is 14. How many minutes after 3:47 will the sum of the digits be 20 for the first time?

(A) 42

(B) 132

(C) 192

(D) 251

(E) 301

14. In the figure below, is a diameter of circle O. If AC= 6 and the radius of the circle is 5, what is the perimeter of the shaded region?

(A) 14 + 5π

(B) 17 + 5π

(C) 14 + 10π

(D) 17 + 10π

(E) 24 + 5π

15. How many minutes did John take, driving at 20 miles per hour, to go the same distance that Mary took 30 minutes to drive at 60 miles per hour?

(A) 10

(B) 30

(C) 60

D) 90

(E) 180

16. Laurie inherited 40% of her father’s estate. After paying a tax equal to 30% of her inheritance, what percent of her father’s estate did she own?

(A) 10%

(B) 12%

(C) 25%

(D) 28%

(E) 30%

17. If it is now September, what month will it be 555 months from now?

(A) April

(B) June

(C) September

D) November

(E) December

18. If A is the set of integers between –50 and 50, and a number is in set B if it is the cube of a number in set A, how many elements of set B are in set A?

(A) 2

(B) 6

(C) 7

(D) 11

(E) 101

19. The weights, in kilograms, of five students are 48, 56, 61, 52, and 57. If 1 kilogram = 2.2 pounds, how many of the students weigh over 120 pounds?

(A) 1

(B) 2

C) 3

(D) 4

(E) 5

20. In the figure below, ABCD, BEFG, and DHIJ are squares with AB = 2(DH) and DH= 2(BE). If a point is chosen at random inside square ABCD, what is the probability it will be in the shaded region?

(A)

(B)

(C)

(D)

(E)

21. The value of is

(A) 0

(B) 2

(C)

(D) 1

(E) 3

22. The value of is

(A) 2

(B)

(C) 0

(D) -2

(E) -1

23. Differentiate the functions with respect to x.

(A)

(B)

(C)

(D)

(E)

24. In the figure below, what is the value of a?

(A) 30

B) 36

(C) 45

(D) 72

(E) It cannot be determined from the information given.

25. In the figure below, the area of square ABCD is 100, and the area of isosceles triangle DEC is 10. What is the distance from A to E?

A) 11

(B) 12

(C)

(D) 13

(E)

26. If a varies inversely with b, and b = 5 when a = 3, what is the value of b when a = 10?

(A) 0.5

(B) 1.5

(C) 2

(D) 20

(E) 30

27. Which of the following cannot be expressed as the sum of three consecutive integers?

(A) 18

(B) 24

(C) 28

D) 33

(E) 36

28. The graph of y = f(x) is shown in the figure below. Which of the following is a point on the graph of y = – f(x)?

(A) (0, –4)

(B) (0, 2)

(C) (–1, 1)

(D) (–1, –1)

(E) (2, 0)

29. In below, what is the length of ?

(A) 3

(B) 6

C) 9

(D) 12

(E) 18

30. If 2x + 3y = 21 and x and y are positive integers, what is one possible value of x?

(A) 2

(B) 4

(C) 5

D) 6

(E) 8

TEST 02

1. Which of the following represents the total cost, in dollars, of k compact discs at $15 each and p compact disc cases at $25 each? (Disregard sales tax.)

(A) 15k + 25p

(B) 25k + 15p

(C) 40(k + p)

(D) 0.040(k + p)

(E) (15 + k)(25 + p)

2. If the areas of the two rectangles in the figure below are equal, which of the following could be the coordinates of point R?

(A) (-2, -4)

(B) (-2, -2)

(C) (-2, 4)

(D) (2, -4)

(E) (2, 4)

3. A box contains 2,900 solid-colored marbles that are either orange, blue, or green. If 29 percent of the marbles are orange and 29 percent of the marbles are blue, what percent are green?

(A) 29%

(B) 42%

(C) 52%

(D) 58%

(E) 71%

4. Sets P and Q are shown below. If x is a member of set P and y is a member of set Q, which of the following can not be equal to the product xy?

P = {1, 3, 5, 6}, Q = {2, 4, 6, 7, 9}.

(A) 16

(B) 18

(C) 20

(D) 21

(E) 24

5. If , then x could be which of the following?

(A) 3

(B) 4

(C) 5

D) 6

(E) 7

6. If tx + 5 = (t + 1)x, which of the following must be true?

(A) x = 4

(B) x = 5

(C) t = 4

(D) t =5

(E) t = 5x

7. 2 # 5 =

Let # be defined by a # b = ab + a + b for all numbers a and b.

(A) 7

(B) 10

C) 17

(D) 20

(E) 32

8. If 10 # h = 98, then h =

Let # be defined by a # b = ab + a + b for all numbers a and b.

A) 8

(B) 9

(C) 10

(D) 11

(E) 12

9. For what value of x is the statement x # y = x always true?

Let # be defined by a # b = ab + a + b for all numbers a and b.

(A) – 2

B) – 1

(C) 0

(D) 1

(E) 2

10. In the equation below, k is a constant. If the roots of the equation are 7 and 2, what is the value of k?

3(x – 7)(x – 2) = k

(A) 0

(B) 2

(C) 3

(D) 7

(E) 14

11. Which of the following represents the area, A, of a circle as a function of its diameter, d?

(A)

(B)

(C)

(D)

(E)

12. The table below shows some values for the functions f and g. If f and g are linear functions, what is the value of a - b?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4

13. The depth of a lake is the difference between the altitude at the surface and at the lowest point of the lake. If the five lakes in the graph below were listed in order from the greatest depth to the least depth, which lake would be third in the list?

(A) Erie

(B) Huron

(C) Michigan

D) Ontario

(E) Superior

14. In the figure below, x > 90 and y = z + 1. If z is an integer, what is the greatest possible value of y?

(A) 30

(B) 45

(C) 60

D) 61

(E) 89

15. Molly is 64 inches tall. At 10:00 A.M. one day, her shadow is 16 inches long, and the shadow of a nearby tree is s inches long. In terms of s, what is the height, in inches, of the tree?

(A) s + 48

(B)

(C)

(D) 4s

(E)

16. If a number is chosen at random from the set {- 12, -6, 0, 6, 12}, what is the probability that it is a member of the solution set of both 2x – 3 < 7 and x + 5 > - 6?

(A) 0

(B)

(C)

(D)

(E)

17. If the length of is 5 and the length of is 6, which of the following could be the length of ?

A) 10

(B) 12

(C) 13

(D) 15

(E) 16

18. In below, if AD = 6, DC = 3, and BC = 4, what is the area of triangle ABD?

(A) 36

(B) 18

C) 12

(D) 6

(E) 3

19. If x and y are two different integers and the product 35xy is the square of an integer, which of the following could be equal to xy?

(A) 5

(B) 70

(C) 105

(D) 140

(E) 350

20. On the number line below, the tick marks are equally spaced. Which of the lettered points represents y?

(A) A

(B) B

(C) C

(D) D

(E) E

21. Which of the following triples (a, b, c) does not satisfy the equation =15?

(A) (2, 6, 3)

(B) (2, 7, 1)

(C) (3, 5, 0)

(D) (4, 3, 3)

(E) (5, 2, 4)

22. An amusement park charges $7 more for an adult’s admission than for a child’s admission. If a group of 4 adults and 3 children spent $119 on admission, what is the price of admission for one child?

(A) $11

B) $13

(C) $16

(D) $17

(E) $18

23. The figure below shows four apartments in a building. In this building, each apartment is occupied by only one person. Alice lives next to Sam, and Paul lives next to Alice and Dara. In which apartment could Alice live?

(A) 1 only

(B) 2 only

(C) 3 only

D) 2 or 3

(E) 1 or 4

24. What is the ratio of the radius r of a circle to the circumference of the circle?

(A)

(B)

(C)

(D)

(E)

25. The graph below shows various temperatures from 10 A.M. to 6 P.M. of a given day. Which of the following situations best fits the information on the graph?

(A) It rained a little, and then the Sun came out and warmed things up.

B) The mild temperature was lowered by a heavy rain in the morning, and the temperature dropped lower by evening.

(C) It was more windy in the morning than it was in the evening, and the temperature was mild throughout.

(D) The morning was cold, but the Sun later came out and raised the temperature.

(E) The temperature decreased at a constant rate from 10 A.M. to 6 P.M.

26. Rita’s dog weighed 5 pounds when she bought it. Over the next several years, the dog’s weight increased by 10 percent per year. Which of the following functions gives the weight, w, in pounds, of the dog after n years of weight gain at this rate?

(A) w(n) = 5 + 0.1n

(B) w(n) = 5(0.1)ⁿ