The first 10 problems are multiple choice and will count toward your team score. Answer by putting the appropriate letter in the blank on the answer sheet.
1. The figure is composed of an equilateral triangle and a square. If the area of square is 9, what is the perimeter of the entire figure?
a. 21 b. 15.75 c. 15 d. 11.25 e. 10
2. If the figure could represent 18 x 21, 1.8 x 2.1, or 180 x 210, then the shaded area could represent
a. 8, 0.8, or 80 b. 1, 0.1, or 100 c. 8, 0.08, or 800 d. 1, 0.01, or 100
3. What is the sum of the prime numbers between 110 and 130?
a. 240 b. 359 c. 361 d. 488 e. 599
4. Assuming all angles are right angles, what is the perimeter of the polygon?
a. 152 b. 148 c. 112 d. 100 e. 96
5. If 5 bleeps are worth 3 chortles, how many bleeps can be expected for 105 chortles?
a. 35 b. 63 c. 103 d. 107 e. 175
6. Hy Marx got grades of 98 and 88 on the first two tests. What is the minimum grade he can get on the third test to have an average (mean) of at least 90?
a. 80 b. 84 c. 88 d. 90 e. 93
7. Besides I and IV, which pair of figures have the same rotational symmetry but different reflection symmetry?
a. II & III b. III & IV c. I & III d. III & IV e. III & V
8. Three views are given of the same block structure. The highest part of the structure is in which corner?
a. left back b. right back
c. left front d. right front
9. What is the remainder when 102001 is divided by 9?
a. 0 b. 1 c. 3 d. 6 e. 8
10. Writing the result of 1.23456789 x 123.456789 requires how many digits?
a. 8 b. 10 c. 12 d. 17 e. 18
Problems 11-30 will count toward your individual score but not your team score.
11. If one card is drawn from a standard 52 card deck, what is the probability of not drawing a spade (´)?
12. How many millimeters are in 3 kilometers?
13. The product of three consecutive odd numbers is 6783. What is their sum?
14. Elmer bought 4 pounds of bananas at $0.59 per pound. How much change did he receive from a five-dollar bill?
15. What is the sum of the reciprocals of 0.75 and
?
Express your answer as a mixed number.16. What percentage of the first 25 positive integers are prime?
17. A 72-foot rope is cut into 2 pieces so that one piece is
of the other. How many feet long is the longer piece?18. What is
as a common fraction?19. In 18 minutes of bicycle riding 90 calories are burned. At this rate how many calories are burned on a 6 hour ride?
20. Each of the small squares has perimeter 8. What is the perimeter of the polygon formed by these squares?
21. Acme Car Rental charges $24 for a single day rental and $12 per day for additional days. If someone rents a car for a week, s/he gets one of the additional days free. Acme also charges $0.05 per mile if the car is not returned in the city where it was originally rented. It is 900 miles from Seattle to San Francisco. What does it cost to take one of Acme’s cars from Seattle to San Francisco and leave it there if the trip lasts 7 days?
22. The area of one small square is 1, and the area of the largest square is 100. What is the area of the quadrilateral region enclosed by heavier lines?
23. To the nearest whole year, what is the difference between a billion seconds and a million seconds.
24. Joelle asked Mr. Ree, “How long is the Fantasia 2000 video?” Mr. Ree replied, “I don’t know because I’ve never taken it out of that plastic box that it comes in, but I do know that
feet go through the IMAX projector every second” Joelle found
out later that Fantasia 2000 is 67 minutes long. How many feet
of film does this represent?25. Evaluate:
26. Three equilateral triangles are pictured. The smallest has side lengths that are
of the largest, and the other triangle has side lengths that are
of the largest. If the largest triangle has side lengths of 24, what
is the perimeter of the entire figure?
27. In the previous problem the area of the smallest triangle is
.
What is the area of the entire figure?28. A badger weighs the same as 4 marmots, and 3 marmots weigh the same as 5 weasels. So that we can replace all six of the stinking badgers, how many weasels weigh the same as 6 badgers?
29. The first 3 designs are shown. How many tiles will be in the twentieth design?
30. In this addition problem B, A, and D each represent different non-zero digits. What number does BAD represent?
