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1. 102 minutes after 10:00 am is how many minutes before noon?
A. 18 B. 28 C. 32 D. 42 E. 58
2. Even the cast members of the musical Rent know that the number of minutes in the year 2006 is:
A. 525,600 B. 527,000 C. 824,200 D. 1,224,000 E. 31,536,000
3. The product of two whole numbers is 30 and their sum is 17.
What is the positive difference between these two numbers?
A. 1 B. 2 C. 7 D. 10 E. 13
4. Starting with 653.187, create a new number by switching the tens digit and the hundredths digit. How much greater is the larger number than the smaller number?
A. 19.998 B. 29.97 C. 39.6 D. 90 E. 499.5
5. When every vertex of a regular pentagon is connected to every other vertex,
a smaller pentagon and N nonoverlapping triangles are formed. What is N?
A. 5 B. 8 C. 10 D. 12 E. 15
6. EMBED Equation.DSMT4 What does EMBED Equation.DSMT4 equal?
A. 27 B. 29 C. 45 D. 109 E. 127
7. 91 is the product of two prime numbers. What is their sum?
A. 14 B. 16 C. 18 D. 20 E. 24
8. The United States debt is increasing at the rate of $12,716 per second. In the 75 minutes that you have to take this math contest, how much will the US debt increase?
A. $57,222 B. $95,370 C. $953,700 D. $9,537,000 E. $57,222,000
9. Doug bought three Tshirts at $8.90 each and a pair of jeans for $18.50.
How much change does Doug get from a $50 bill?
A. $0 B. $4.80 C. $5.20 D. $15.50 E. $22.60
10. Determine both the least common multiple of 6 and 9 and the greatest common factor of 6 and 9. What is their sum?
A. 12 B. 21 C. 24 D. 51 E. 57
11. Two pitchers, A and B, each contain 48 ounces of juice. Half of the juice in A is poured into B. Then, half of the juice in B is poured into A. Once again, half of the juice in A is poured into B. How many ounces of juice are now in pitcher A?
A. 24 B. 30 C. 36 D. 42 E. 48
12. When you fold this pattern into a cube, which face is opposite face F?
A. A B. B C. C
D. D E. E
13. What is the median of these five numbers?
0.125 0.08 0.01 0.5 0.076
A. 0.125 B. 0.08 C. 0.01 D. 0.5 E. 0.076
14. What is the sum of all positive multiples of 5 less than 99?
A. 850 B. 900 C. 950 D. 1000 E. 1050
15. In the standard M/D/Y for month, day, and year, March 18, 2006 is written 3/18/06.
Note that 3*6 = 18. Including March 18, how many times in the year 2006 will M*Y = D?
A. 2 B. 3 C. 5 D. 6 E. 7
16. The perimeter of a rectangle is 40 cm. Its width is 8 cm. What is the area of this rectangle?
A. 5 cm2 B. 12 cm2 C. 64 cm2 D. 96 cm2 E. 256 cm2
17. A number line from 0 to 5 is divided into 20 equal parts.
What is the sum of the numbers located at points A and B?
A. 6 B. 6.25 C. 6.5 D. 6.75 E. 7
18. A perfect number is a whole number such that the sum of all its divisors, not including itself, equals itself. For example, 12 is not a perfect number because 1+2+3+4+6 = 16, does not equal 12. What is the sum of the two perfect numbers between 1 and 50? (Hint: There is a clue on the front cover of this test!)
A. 32 B. 34 C. 36 D. 44 E. 52
19. An abundant number is a whole number such that the sum of all its divisors, not including itself, is greater than itself. For example, 12 is an abundant number because 1+2+3+4+6 = 16 which is greater than 12. Including 12, how many abundant numbers are there less than 29?
A. 1 B. 2 C. 3 D. 4 E. 5
20. On the number line below marked with 1 cm units, an ant crawls at a constant speed of 4 cm per minute. Starting at 5, Aunt Antie walks left for 2 minutes; right for 6 minutes, and then left for 3 minutes. Where is Aunt Antie on the number line?
A. 1 B. 1 C. 4 D. 5 E. 9
21.
CityABCDE199012,5008,10084,60032,20054,000200618,50011,300115,00039,90078,000
The 1990 and 2006 populations of five cities are given in the table.
Which city had the largest percent increase in population during this time period?
A. A B. B C. C D. D E. E
22. Jamaal reads an average of 32 pages per day from Monday through Friday and an average of 67 pages per day on the weekend. For each week, what is the average number of pages that Jamaal reads per day?
A. 42 B. 45 C. 45.5 D. 47 E. 49.5
23. On a Friday drive from St. Louis to Chicago, Aaron shares the driving with a friend. Before lunch, Aaron drove 1/3 of the 180 miles covered. After lunch, Aaron drove 1/4 of the 120 miles they had left. What fraction of the days trip did Aaron drive?
A. 3/10 B. 2/7 C. 7/12 D. 1/2 E. 2/5
24. Including small, medium, and large squares, what is the total
number of squares that can be traced in this diagram?
A. 10 B. 12 C. 13
D. 15 E. 25
25. What is the maximum number of 4 cm by 10 cm
rectangles that can be cut from this 60 cm by 60 cm square?
A. 21 B. 36 C. 45
D. 60 E. 90
26. What is the maximum number of 4 inch by 4 inch by 2 inch blocks
that can be cut from a wooden cube one foot on a side?
A. 24 B. 36 C. 54
D. 72 E. 108
27. What fraction of this rectangle is shaded?
A. 1/3 B. 3/8 C. 1/2
D. 7/16 E. 9/16
28. In a class of 20 students, these are their scores on a fivepoint quiz.
Quiz score012345Number of students201593
What was the mean score on this quiz?
A. 2.5 B. 3 C. 3.2 D. 3.4 E. 4
29. In basketball, a player can score via 3point shots, 2point field goals, or 1point free throws. If Tonya makes seven 2point field goals while scoring 34 points, what is the minimum number of free throws that she has made?
A. 0 B. 1 C. 2 D. 3 E. 4
30. Two standard 6sided dice are rolled. What is the probability that the sum is 10, 11, or 12?
A. 1/6 B. 3/11 C. 1/4 D. 1/12 E. 3/8
31. From 10:00 am to 11:30 am, through how many degrees does the minute hand of a clock rotate?
A. 180o B. 270o C. 360o D. 450o E. 540o
32. From 10:00 am to 11:30 am, through how many degrees does the hour hand of a clock rotate?
A. 15o B. 22.5o C. 30o D. 37.5o E. 45o
33. For the team she coaches, Brenda buys sodas at $0.75 each and hamburgers at $1.20 each. If she buys more hamburgers than sodas, buys at least one soda, and spends a total of $21.60 on sodas and hamburgers, what is the total number of hamburgers and sodas she buys?
A. 21 B. 22 C. 23 D. 24 E. 25
34. On a day in June, sunrise is 6:00 am and sunset is 9:00 pm. At what time of that day is the number of hours past sunrise equal to twice the number of hours before sunset?
A. 11:00 am B. 12:00 noon C. 1:30 pm D. 2:30 pm E. 4:00 pm
35. You are given a cube, 10 cm on a side, and two
identical pyramids with square bases, 10cm on a side.
You glue the two pyramids to opposite faces of
the cube so that the 10 cm squares line up.
How many edges does the solid have?
A. 8 B. 12 C. 16
D. 20 E. 24
36. The product of three whole numbers is 48 (two of the numbers used could be the same).
What is the least possible sum of these three numbers?
A. 11 B. 12 C. 13 D. 14 E. 15
37. Unit squares (shown below) are used to build each pattern. The first three patterns are shown. Not including the square hole, how many unit squares are needed to build the 10th pattern in this sequence?
A. 76 B. 80 C. 84 D. 92 E. 100
38. Place the digits 2 through 7 in the 6 blank cells so that the sum of the
three numbers in the top row, in the bottom row, in the leftmost column,
and in the rightmost column each add to 12.
What digit is in the cell next to the cell with the 1?
A. 2 B. 4 C. 5
D. 6. E. 7
39. Emily, Sarah, and Andrea share a bowl of strawberries. First, Emily ate 1/3 of them. Then Sarah ate 1/3 of the remaining strawberries. Andrea ate the last 8 strawberries. How many strawberries did Emily eat?
A. 6 B. 8 C. 12 D. 24 E. 48
40. In how many distinct ways can five 1 by 2 tiles be used to cover a 2 by 5 rectangle?
A. 5 B. 6 C. 8 EMBED Equation.DSMT4 EMBED Equation.DSMT4
D. 9 E. 13
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