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1. How many degrees of arc does the minute hand of a clock cover in 20 minutes?
A. 180B. 120C. 60D. 30E. 20
How many total triangles (of any size) are in this drawing?
A. 9B. 10C. 11D. 12E. 13
3. Which of the following numbers is the smallest?
A. πB. 31/7C. 3.14D. E.
What is the value in degrees of a in this diagram?
A. 38B. 76C. 90D. 109E. 142
5. Question below deals with the equation , where .
For what value of x does this equation have no solution?
A. -2B. -1C. 0D. 1E. 2
6. Question below deals with the equation , where .
When the equation has a solution, x =
A. B. C. D. b + 2E. a - 2b
7. In football, a touchdown is worth 6 points, a field goal is worth 3 points, and an extra point is worth 1 point. Which formula represents the total number of points scored by a team if they scored t touchdowns, f field goals, and e extra points?
A. 6t + 3f + eB. t6 + f3 + eC. 6(t + 3f + e)D. 3t + 6f + eE. (6 + t) + (3 + f) + (1 + e)
8. Sean claims that every number is either prime or the product of two primes. Which number could Vickie use to disprove Sean's statement?
A. 2B. 10C. 15D. 18E. 57
9. On a number line, four evenly spaced marks are placed between -2 and 13. What is the coordinate of the second such mark?
A. 1B. 4C. 5.5D. 7E. 7.5
10. What is the length of a rectangle whose perimeter is 40 inches and whose width is 8 inches?
A. 21/2 inchesB. 5 inchesC. 12 inchesD. 16 inchesE. 32 inches
11. Owen needs to travel 400 miles in 8 hours. If he averages m miles per hour for the first three hours, what does his average speed need to be for the remaining 5 hours?
A. B. C. D. 50 - m/3E. 80 - 3m
12. Which point is not 5 units from the origin?
A. (-5, 0)B. (5, 5)C. (3, -4)D. (0, 5)E. (0, -5)
13. Find the perimeter of a square whose diagonal has length m.
A. 6 mB. mC. 24 mD. mE. 48 m
14. How many two-digit numbers contain one even digit and one odd digit?
A. 20B. 25C. 45D. 50E. 55
Which of these three triangles must be a right triangle? (Figures are not drawn to scale.)
A. I onlyB. II onlyC. I and IIID. II and IIIE. I, II, and III
16. If d1/2 + 5 = 9, then d-1 =
A. -16B. -4C. -2D. 1/2E. 1/16
If 5,000 students attended State U in 1995, how many majored in history or English?
A. 185B. 425C. 500D. 925E. 1,850
Which is a valid conclusion, based on the graphs alone?
A. More students majored in English in 2000 than in 1995.B. More students majored in business in 1995 than in 2000.C. History was the most popular major in 1995.D. Fewer students majored in economics in 1995 than in 2000.E. In 2000, more students majored in engineering than in English.
19. Four consecutive even integers are written down. Which of the following statements must be true?
A. The average (arithmetic mean) of the numbers is even.B. The median of the numbers is even.C. The sum of the numbers is 21/2 times the largest number.D. The median is not one of the numbers on the list.E. The largest number on the list is more than twice as large as the smallest.
20. Let >n be defined as the smallest perfect square greater than n. For example, >3 = 4 and >4 = 9. Which of the following is equal to >5 + >9?
A. >10B. >14C. >20D. >25E. >45
21. If j2 > j, and j3 > j, but j2 > j3, then which of the following must be true?
A. j < -1B. -1 < j < 0C. 0 < j < 1D. 1 < j < 2E. j > 2
In this diagram, where O is the center of the circle, find the measure of angle P, in degrees.
A. 32B. 36C. 45D. 58E. 64
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