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A. 10% B. 12% C. 15% D. 20% E. 25%
2. A plane is cruising at 3,000 feet. If it begins to descend at a rate of 12 feet per second, how long will it take to reach 1,200 feet?
A. 1 minute, 40 sec. B. 1 minute, 50 sec. C. 2 minutes, 30 sec.
D. 2 minutes, 50 sec E. 3 minutes, 20 sec
3. A watch loses 10 minutes per day. At noon Saturday, it is set to the correct time. Exactly four weeks later, at noon Saturday, what time will the watch read?
A. 7:20 B. 8:00 C. 8:40 D. 9:20 E. 9:40
4. What is the sum of all prime factors of 2002?
A. 33 B. 43 C. 103 D. 152 E. 1003
5. By putting $1.80 worth of gas in his Ford Ranger, the gas tank needle moves from 1/4 full to 3/8 full. What additional amount must Ben pay to finish filling the gas the tank? (Assume that the needle is always accurate.)
A. $5.40 B. $9.00 C. $9.90 D. $10.80 E. $14.40
6. A rectangular box with a 7 cm by 13 cm base has a volume of 2002 cubic centimeters. Including all six sides, what is the number of square centimeters in the surface area of the box?
A. 168 B. 480 C. 512 D. 720 E. 1062
7. Liberty has x quarters and y dimes. Morgan has y quarters and x dimes. In cents, how much more money does Liberty have than Morgan?
A. 15(x y) B. 15(y x) C. 15(x + y) D. 15x + 35y E. None of these
8. The marks on this number line are equally spaced. What is the length of line segment PQ?
A. EMBED Equation.DSMT4 B. EMBED Equation.DSMT4 C. EMBED Equation.DSMT4 D. EMBED Equation.DSMT4 E. EMBED Equation.DSMT4
9. When a twodigit whole number is divided by the sum of its digits, the quotient is 8 .
What is the units' digit of this twodigit number?
A. 0 B. 2 C. 4 D. 6 E. 8
10. The bar graph indicates the number of boys and girls
who chose pizza or sandwiches for lunch.
What percent of the students chose pizza?
Round your answer to the nearest percent.
A. 73% B. 75%
C. 77% D. 79%
E. 88%
11. The dimensions of a rectangular box are given.
Ross uses duct tape to secure the box, as shown.
Each of the three wrappings extends completely around
the box and there is no overlap at the ends of each wrap.
How many meters of duct tape are required?
A. 5.8 B. 7.4 C. 7.8
D. 8.6 E. 9.0
12. The height H, in meters, of a bottle rocket T seconds after it is launched is given by the formula:
H = 9.8T2 + 120T . Between the 2nd second and the 5th second, how many meters did the rocket rise?
A. 154.2 B. 172.7 C. 271.8 D. 355 E. 2376.8
13. Ross, Boris, Sam, and Zan find a sum of money. They agree that Ross receives $4 less that onethird of the money; Boris receives $2 more than onefourth of the money; Sam receives $3 more than onefifth of the money; and Zan receives $25, the remainder. What per cent of the money does Ross receive?
(Adapted from Elements of Algebra for Secondary Schools, Webster Wells, DC Heath, 1897.)
A. 25% B. 26% C. 29% D. 30% E. 32%
14. Let S equal the number of fivepointed stars on the front cover of this test. This number S is a factor of EMBED Equation.DSMT4 , where N is a whole number. What is the smallest possible value of N?
A. 6 B. 8 C. 10 D. 12 E. 16
15. Each triangle in the diagram is an equilateral triangle. Each
smaller triangle is formed by joining the midpoints of the sides of
a larger triangle. What fraction of the largest triangle is shaded?
A. 1/4 B. 15/64 C. 1/3
D. 3/16 E. 7/32
16. Leonora thinks of a secret number. In this sequence: she subtracts 5, multiplies by 5, adds 5, and then divides by 5 to get 2002 as her answer. Don thinks of a secret number. In this sequence: he adds 5, multiplies by 5, subtracts 5, and then divides by 5 to get 2002 as his answer
What is the sum of their two secret numbers?
A. 2002 B. 3992 C. 3996 D. 4004 E. 20,020
17. Which one of these five numbers leaves a remainder of 123 when divided by 2002?
A. 110,230 B. 118,240 C. 128,249 D. 156,279 E. 166,292
18. 2002 squares, each with area 36 square centimeters, are placed next to each other in one row to form a rectangle. What is the number of centimeters in the perimeter of this rectangle?
A. 24,012 B. 24,018 C. 24,024 D. 24,030 E. 24,036
19. Two circles share center C. Point B is on the smaller circle
and point A is on the larger circle. CB = 6 cm and BA = 10 cm.
What is the area, in square centimeters, of the doughnut shaped
region between the two circles?
Round your answer to the nearest whole number.
A. 63 B. 314 C. 201
D. 220 E. 691
20. Place the nine integers: 4, 3, 2, 1, 0, 1, 2, 3, 4 into these nine boxes (without repetition) so that the sum of the integers in any two consecutive boxes is a perfect square number.
What number is in the middle square?
A. 3 B. 2 C. 0 D. 1 E. 3
21. In professional baseball, the distance from the pitching mound to home plate is 60 feet, 6 inches. How many seconds does it take a Roger Clemens 98 mile per hour fast ball to arrive at home plate? Round your answer to the nearest hundredth of a second. (There are 5280 feet in one mile.)
A. 0.04 B. 0.42 C. 0.52 D. 0.64 E. 0.91
22. A right triangle has a hypotenuse of length 35 cm and one leg of length 21 cm. In square centimeters, what is the area of this triangle?
A. 84 B. 294 C. 367.5 D. 588 E. 735
23. What is the largest whole number which MUST be a factor of the sum of any three consecutive odd numbers?
A. 3 B. 4 C. 6 D. 8 E. 12
24. The area of a circle is EMBED Equation.3 cm2. What is the circumference, in centimeters, of the circle?
A. 1 B. 2 C. ( D. 2( E. EMBED Equation.3
25. In January, 2001, Ashley said, Mom, Im now onesixth of your age. In January, 2002, Ashley said, Dad, Im now onesixth of your age. How many years older is Ashleys father than her mother? (Assume that all ages are whole numbers.)
A. 1 B. 4 C. 5 D. 6 E. 7
26. The length of a rectangle is twice its width. The perimeter of the rectangle is 48 cm. In square centimeters, what is the area of the rectangle?
A. 64 B. 80 C. 96 D. 128 E. 144
27. On Monday, all 435 members of the US Congress voted and Proposition PI3714 was defeated. Another vote was held on Tuesday. Thirtytwo Congressmen switched their votes from No to Yes. Five Congressmen switched their votes from Yes to No. Of the 435 votes on Tuesday, there were 7 more Yes votes than No votes.
How many more No votes than Yes votes were there on Monday?
A. 25 B. 29 C. 34 D. 35 E. 47
28. In centimeters, the length of each side of a triangle is a whole number. The perimeter of the triangle is 8 centimeters. How many different (noncongruent) triangles meet this criteria?
A. None B. One C. Two D. Three E. More than three
29. In a regular hexagon ABCDEF, the area of triangle ADF is what fraction of the area of the hexagon?
A. 1/6 B. 1/3 C. 1/4 D. 3/10 E. 2/5
30. A persons monogram is his or her three initials, in order: first initial, second initial, and third initial (for example, RDA). Mr. and Mrs. Pythagoras wish to name their new baby so that her threeletter monogram is in alphabetical order with no letters repeated. For example, AMP or MOP. If the third initial is P for Pythagoras, how many different monograms are possible?
A. 105 B. 120 C. 144 D. 210 E. 225
31. A 2 cm cube is stacked (and glued) on top of a 3 cm cube. In square centimeters, what is the surface area of this stack (including the bottom face)?
A. 35 B. 60 C. 65 D. 70 E. 74
32. When Rick phones his daughter Suzanne from work, he must press 20 buttons. If he has a 99% probability of pressing each button correctly, what is the probability that he presses all 20 buttons correctly? Round to the nearest percent.
A. 80% B. 81% C. 82% D. 90% E. 95%
33. Use four distinct digits to form a fourdigit number which does not end in the digit 0. Reverse those four digits to write a second fourdigit number. What is the maximum possible positive difference between those two numbers?
A. 3087 B. 8532 C. 8622 D. 8712 E. 8802
34. ABCD is a 10 cm by 10 cm square.
M and N are midpoints of sides BC and CD.
MP is perpendicular to AN at point P.
Rounded to a tenth of a centimeter, what is
the length of MP?
A. 5.2 B. 5.6 C. 6.0
D. 6.3 E. 6.7
35. A rectangle ABCD is inscribed in a circle of radius 8 cm. BC = 6 cm.
Rounded to the nearest whole centimeter, what is the area
of the shaded region?
A. 105 B. 112 C. 117
D. 124 E. 157
36. How many triangles (of any size) can be found
in the diagram shown?
A. 9 B. 12 C. 18
D. 24 E. 27
37. What is the value of this expression with 2001 terms? (Note that every third term is subtracted.)
1 + 2  3 + 4 + 5  6 + 7 + 8  9 + + 1996 + 1997  1998 + 1999 + 2000  2001
A. 665,334 B. 666,333 C. 667,333 D. 667,334 E. 668,334
38. The numbers 1 through 16 are entered into a square grid with four rows
and four columns. The sum of the numbers in each of the columns is the same.
What is that sum?
A. 30 B. 31 C. 32
D. 34 E. More than one sum is possible.
39. How many triangles (of any size) can be found
in the diagram shown?
A. 125 B. 216 C. 225
D. 256 E. 288
40. The new census taker has been told that Ms. Pimath always answers truthfully, but not always clearly. With great fear, the census taker knocks on Ms. Pimaths door. When she opens the door, he asks, How many children do you have? She responds, Three. He continues, What are their ages? Ms. Pimath answers, The product of their ages is 90 and the sum of their ages is the address of my house. The census taker looks at the house number, and complains, Thats not enough information. Do you have a oneyear old child? When Ms. Pimath responds truthfully, he says with relief, Thank you, now I know their ages.
What is Ms. Pimaths house number? (All of the ages are whole numbers.)
A. 14 B. 16 C. 20 D. 22 E. 24
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