1. A rectangular field is half as wide as it is long, and it is completely enclosed by 54 meters of fencing. What is the number of square meters in the area of the field?
5. If 7 is placed to the right of a three-digit number to form a four-digit number, the new number is 7000 greater than the original number. What was the original number?
8. A rectangle having integer length and width has a perimeter of 100 units. What is the number of square units in the least possible area?
10. The Badgers play the Cougars in a series of seven basketball games. Each team has an equal chance of winning each game. What is the probability that the Badgers will win at least four games? Express your answer as a common fraction.
12. Brad is younger than 30. His age is a multiple of 5, and next year his age will be a multiple of 7. Brad is how many years old?
15. The degree measures of the interior angles of a pentagon form an arithmetic sequence. What is the middle term of this sequence?
16. How many numbers can be expressed as the sum of two or more distinct elements of the set {0, 1, 2, 4, 8, 16} ?
17. A photograph measuring 16 inches by 20 inches is reduced uniformly so that the greater measure becomes 5 inches. What is the number of inches in the perimeter of the reduced photo?
21. A standard die is rolled six times. What is the probability that the result of each roll is odd? Express your answer as a common fraction.
23. What is the smallest four-digit whole number divisible by 9 which has two even and two odd digits?
24. If the endpoints of one side of a square are at (2, 3) and (5, 4), then how many square units are in the area of the square?
25. The lengths of the sides of are 3 cm, 4 cm and 6 cm. Determine the number of centimeters in the least possible perimeter of a triangle similar to which has one side of length 12 cm.
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