x, 2x, 4x, ...
The first term in the sequence above is x, and each term thereafter is equal to twice the previous term. Which of the following is the sum of the first five terms of this sequence?
A. 10x
B. 15x
C. 30x
D. 31x
E. 32x
D. 31x
100
2a + 3b = 12, and 3b - 4 = 2, then what is the value of a?
A. 2
B. 3
C. 4
D. 6
E. 8
B. 3
100
(Geometry Figure 2)
In the figure above, two line segments meet at a point on line l. What is the value of x?
45
100
A basket contains turnips that are either red or white. If the total number of turnips in the basket is 24, and the probability of choosing a red turnip at random is 5/6, how many red turnips are in the basket?
20
200
The month of July has 31 days. What is the greatest possible number of Saturdays that can occur in July?
5
200
If 3x = 13 and 2y = 7, what is the value of 3(2x) - 2(3y)?
5
200
A particular cube has edges of length 2. If half the faces are painted green and half the faces are painted red, what is the total area of the faces painted green?
12
200
Let set M = {x, 2x, 4x} for any number x. If the average (arithmetic mean) of the numbers in the set M is 14, what is the value of x?
A. 2
B. 6
C. 7
D. 10
E. 12
B. 6
300
A three-digit number, XYZ, is formed of three non-zero digits X, Y, and Z. If the value of X is twice the value of Z, and the value of Y is three times the value of X, what is the number XYZ?
261
300
Let f(x) = (x+3)(x-3) for any value of x. What is the least possible value of f(x)?
A. -9
B. -3
C. 0
D. 3
E. 9
A. -9
300
The area of square B is 25% greater than the area of square A. If the area of square B is 80 sq. inches, then what is the length in inches of the perimeter of square A?
A. 8
B. 12
C. 16
D. 32
E. 64
D. 32
300
Set M {1,2,3,4,5,6,7}
Set M is shown above. Each number is set N is generated by dividing each number is set M by 2. What is the average (arithmetic mean) of the numbers in set N?
A. 1
B. (3/2)
C. 7/4
D. 2
E. 4
D. 2
400
If p is a prime number, which of the following could also be a prime number?
A. (p/2)
B. (2p)
C. (p^2)
D. (p+2)
E. (2p-2)
D. (p + 2)
400
If (x/0.5) + (y/0.2) = 18, where x and y are positive integers, then what is the value of x?
A. 1
B. 2
C. 3
D. 4
E. 5
D. 4
400
The volume of a particular cube is numerically equal to the total area of its faces. What is the length of one edge of the cube?
6
400
A family is going to choose two pets at random from among a group of four animals: a cat, a dog, a bird, and a lizard. What is the probability that the family chooses will include the lizard?
1/2 or .5
500
If each digit in an integer is greater than the digit to the left, the integer is said to be "monotonic". For example, 12 is a monotonic integer since 2>1. How many positive monotonic two-digit integers are there?
A. 28
B. 32
C. 36
D. 40
E. 44
C. 36
500
The table above shows some values for the function N. If N(t) = k x 2^(-2at) for positive constants k and a, what is the value of a?
A. -3
B. -2
C. 1/3
D. 2
E. 3
D. 2
500
In the figure above, a square is inscribed in a circle. If the area of the square is 36, what is the perimeter of the shaded region?
A
500
The first term of a sequence is the number n, and each term thereafter is 5 greater than the term before. Which of the following is the average (arithmetic mean) of the first nine terms of this sequence?
A. n+20
B. n + 180
C. 2n
D. 2n + 40
E. 9n + 180
A. n + 20
500
The perimeter of a square ABCD is x, and the perimeter of isosceles triangle EFG is y. If AB = EF = FG, which of the following must be true?
A. 0 < y < (x/4)
B. (x/4) < y < (x/2)
C. (x/2) < y < x
D. x < y < 2x
E. 2x < y < 4x