The monthly fees for 5 colleges are $370, $310, $380, $340, and $310, respectively. What is the mean of these monthly fees?
What is $342
100
Mara is stringing a necklace and she selects each bead at random from a basket of beads. If there are currently 5, yellow beads, 10 red beads, 15 green beads, and 20 blue beads in the basket, what are the chances that she will select a red bead next?
What is 1/5
100
A candy shop sells gift baskets that consist of chocolates, a basket, and a card. If there are 5 different types of chocolate, 3 types of baskets, and 10 options for cards, how many different gift basket combinations are there?
What is 150
100
The expression (4z + 3)(z – 2) is equivalent to:
A. 4z2 – 5
B. 4z2 – 6
C. 4z2 – 3z – 5
D. 4z2 – 5z – 6
E. 4z2 + 5z – 6
What is D.4z2 – 5z – 6
100
If x and y are positive integers (x, y) what are all of the solutions of the equation 3x + 2y = 11?
A. (1, 4) only
B. (3,1) only
C. (1, 4) and (2, 2)
D. (1, 4) and (3,1)
E. (2,2) and (3,1)
What is D. (1,4) and (3,1)
200
What is the median of the following 7 scores?
42, 67, 33, 79, 33, 89, 21
What is 42
200
What are the odds that Jenny will roll a pair of dice and get six on both?
What is 1/36
200
A locker combination consists of three different numbers from a set of 30 different numbers on the face of the lock. Imagine that you have forgotten the combination. What is the maximum number of tries it could take to find the right combination?
What is 24,360
200
If a < b, then |a - b| is equivalent to which of the following?
A. a + b
B. -(a + b)
C. √(a – b)
D. a – b
E. -(a – b)
What is E. -(a – b)
200
If 13 is added to 1/2 of a certain number, the result is 37. What is the original number?
What is 48
300
What is the difference between the mean and the median of the set {3, 8, 10, 15}
What is 0
300
To make a 750-piece jigsaw puzzle more challenging, a puzzle company includes 5 extra pieces in the box along with the 750 pieces, and those 5 extra pieces do not fit anywhere in the puzzle. If you buy such a puzzle box, break the seal on the box, and immediately select 1 piece at random, what is the probability that it will be 1 of the extra pieces?
What is 5/755 OR 1/151
300
How many different ways can 10 people come in 1st, 2nd and 3rd in a race?
What is 720
300
When each side of a square with side s is lengthened by 2 inches, which of the following represents the increase, in square inches, of the area of the square?
A. s2 + 4
B. (s + 2)2
C. 4
D. 2s +4
E. 4s + 4
What is B. (s + 2)2
300
Given the equation x2−2x−8=0, which answer choice is a possible value for x?
A. -8
B. -6
C. 0
D. 2
E. 4
What is E. 4
400
Timothy’s average score on the first 4 tests was 76. On the next 5 tests his average score was 85. What is his average score on all 9 tests?
What is 81
400
As part of a probability experiment, Elliott is to answer 4 multiple-choice questions. For each question, there are 3 possible answers, only 1 of which is correct. If Elliott randomly and independently answers each question, what is the probability that he will answer the 4 questions correctly?
What is 1/81
400
How many different 5-letter computer passwords are possible, assuming that no letter can be repeated?
What is 7,893,600
400
If x < y < 0, which of the following is greatest in value?
A. 2x + y
B. x + 2y
C. x – 2y
D. y – 2x
E. 2y - x
What is E. y - 2x
400
What is the Least Common Denominator for adding the fractions 4/15, 1/12, and 3/8?
A. 40
B. 120
C. 180
D. 480
E. 1,440
What is B. 120
500
In Karen’s math class, the final class grade is determined by a combination of quizzes, homework, and test scores. Quizzes make up 30% of the final grade, homework accounts for 25% of the final grade, and test scores account for 45% of the final grade. Each assignment/test has a potential score of 100 points. Karen received a 92 and an 83 on her two quizzes, scores of 100 on her three homework assignments, and test scores of 78, 89, and 98. What is Karen’s final grade in the class?
What is 91
500
A bag contains 12 red marbles, 5 yellow marbles, and 15 green marbles. How many additional red marbles must be added to the 32 marbles already in the bag so that the probability of randomly drawing a red marble is 3/5?
What is 18
500
A license plate consists of three letters followed by three numbers (excluding 0). How many license plate can be made if no letters or numbers are repeated?
What is 7,862,400
500
Students studying motion observed a cart rolling at a constant rate along a straight line. The table below gives the distance, d feet, the cart was from a reference point at 1-second intervals from t = 0 seconds to t = 5 seconds.
t: 0 1 2 3 4 5
d: 14 20 26 32 38 44
A. d = t + 14
B. d = 6t + 8
C. d = 6t + 14
D. d = 14t + 6
E. d = 34t
What is C. 6t + 14
500
3x + 2y + 2z = 19
3x + y + z = 14
If the equations above are true, which of the following is the value of y + z?
A. -5
B. -4
C. 0
D. 4
E. 5