Algebra
14. Which of the following is not a solution to the inequality 6 - n > -17?
A) 23, B) 18, C) 22, D) 2, E) 0
A) 23
28. An isosceles triangle has a known base angle of 27 degrees. Find the supplement to the non-base angle of the above isosceles triangle.
A) 143, B) 153, C) 54, D) 61, E) 76.5
C) 54
9. The four-digit number 8,A8A is divisible by 3 if A is replaced with which of the following digits?
A) 6, B) 3, C) 5, D) 4, E) 2
D) 4
13. What is the product of A and B in the sequence 23, 47, A, 95, B, 143, 167, 191, ...?
A) 4,465, B) 10,153 C) 5,593, D) 8,449, E) 6,789
D) 8,449
9. Matthew is returning home from Halloween with bags stuffed by candy. Inside these bags, he has two grosses of candy to share with his family. How much candy has Matthew brought to share with his candy?
A) 216, B) 288, C) 144, D) 192, E) 240
B) 288
24. If a * b = 2a2-3b, then what is the value of (4 * 3) * (5 * 1)?
A) 917, B) 947, C) 70, D) 838, E) 676
A) 917
37. What is the measure of an exterior angle of a regular decagon?
A) 144, B) 72, C) 36, D) 108, E) 54
C) 36
19. It takes Hanas 18 minutes to walk his dog around the block. At this constant rate, if Hanas walks his dog 21 times a week, what total length of time does he walk his dog?
A) 6 hrs 12 min, B) 6 hr 18 min, C) 7 hr 2 min, D) 6 hr 22 min, E) 6 hr 28 min
B) 6 hr 18 min
9. If 2a * 7b * 13c is the prime factorization of 2,912, then what is the value of ab + c?
A) 17, B) 10, C) 6, D) 5, E) 26
C) 6
10. 7.61 x 10-5 is the scientific notation of which of the following numbers?
A) 76,100,000, B) 0.00000761, C) 0.0000761, D) 761,000, E) 0.00761
C) 0.0000761
31. Mr. Hindra and Mrs. Chi combined their students to look at the test data. There were 70 students total. If there were twice as many C's as A's and two more B's than A's, how many students received an A?
A) 15, B) 21, C) 19, D) 14, E) 17
E) 17
33. The midpoint of AB is point C. The midpoint of AC is point D. The midpoint of AD is point E. What are the coordinates of point E, if AB has endpoints of A (120, 400) and B (-40, 240)?
A) (200, 190), B) (50, 190), C) (80, 360), D) (200, 320), E) (100, 380)
E) (100, 380)
40. What is the percent increase of 400 items increasing to 620?
A) 60%, B) 62.5%, C) 55%, D) 67.5%, E) 58%
C) 55%
22. What is the probability that a randomly chosen positive integral divisor of 60 is also a divisor of 140?
A) 1/2, B) 2/3, C) 1/4, D) 3/4, E) 3/8
A) 1/2
17. If A=1, B=2, C=3... Y=25, and Z=26, what is the sum of the letters in the word SUPPLEMENTARY?
A) 165, B) 185, C) 186, D) 192, E) 177
B) 185
37. If y varies directly as x, and y = 3/5 when x = 6, then what is the value of y, when x = 15?
A) 1/3, B) 18/5, C) 2/5, D) 3/2, E) 9/5
D) 3/2
30. A circle is inscribed in the square below, where ALL the edges of the square touch a point on the circle. The area of the square is 576 units2. If pi = 3.1, what is the area of the circle?
A) 446.4 un2, B) 1,785.6 un2, C) 148.8 un2, D) 297.6 un2, E) 595.2 un2
A) 446.4 un2
36. How many integers between 12 and 30 are relatively prime to 20?
A) 6, B) 7, C) 8, D) 9, E) 5
B) 7
29. Greg has exactly 5 quarters, 8 dimes, 4 nickels, and 4 pennies in his pocket. Greg pulls out a coin at random and sees it is not a quarter, so he lays it on a table. If Greg reaches in his pocket and pulls out another coin at random, what is the probability the coin is a quarter?
A) 5/21, B) 1/4, C) 3/8, D) 5/16, E) 1/3
21. DCCCLXXXIX + DCCXLIV + XCII = __________ (Arabic Number)
A) 1345, B) 1815, C) 1705, D) 1725, E) 1805
D) 1725
45. The vertex P, of the quadratic equation y = x2+6x-8 has coordinates (x, y). If P is translated to the right 6 units and up 13 units to make point P', what are the coordinates of P'?
A) (3, -4), B) (-8, -30), C) (-6, -11), D) (2, -10), E) (6, -6)
A) (3, -4)
34. An octahedron has 6 vertices and 8 faces. How many edges does an octahedron have?
A) 16, B) 24, C) 14, D) 12, E) 18
D) 12
41. How many permutations of 18 items taken 3 at a time?
A) 54, B) 816, C) 1,632, D) 3,264, E) 4,896
E) 4,896
25. How many total subsets does the set created from {A, B, C, D, E, F} U {D, E, F, G, H, I} have?
A) 64, B) 128, C) 256, D) 512, E) 1024
D) 512
42. A population of 90 birds at a zoo increases at a rate of 20% each year. Which function can be used to find the number of birds at the zoo in x years?
A) f(x) = 90(0.2)x, B) f(x) = 90(0.8)x, C) f(x) = 90(1.8)x, D) f(x) = 0.2(90)x, E) f(x) = 90(1.2)x
E) f(x) = 90(1.2)x