Geometry
Random 1
Algebra
Advanced Math
Random 2
100
What is x, the second term in the geometric series 
+ x + 
+ 
+ ... ?
(Note: In a geometric series the ratio of any term to the following term is constant.)
1/12
100
In the figure below, A, B, C, and D are collinear, FC is parallel to ED, BE is perpendicular to ED, and the measures of ∠FAB and ∠EBA are as marked. What is the measure of ∠FCB ?
57 degrees
100
х + бу = r -2x
2(x+4) + 2y=11+ (1/2)(16 +2x)
In the system of equations, r is a constant. For what value of r does the system of linear equations have infinitely many solutions?
33
100
If [(x+8)/2x] = 4, what is the value of x?
8/7
100
An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?
12.6
200
The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = 
r 2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?
4
200
n the figure below, points A and B are on opposite banks of a small stream. Point C is on the same bank of the stream as point B and approximately 18 meters from B. The measure of ∠CBA is 45°, and the measure of ∠BCA is 60°.
Which of the following expressions gives the approximate distance, in meters, between point A and point B
(Note: For ΔPQR, where p, q, and r are the lengths of the sides opposite ∠P, ∠Q, and ∠R, respectively, 
.)
200
wx + 2y = 3(1 + y) +1
8 - y = 2(1 - y) + 3x
In the system of equations, w is a constant. For what value of w will the system of equations have exactly one solution (x, y) with x = 1?
1
200
Each of the variables t, w, x, y, and z represents a different positive real number. Given the equations below, which of the 4 variables w, x, y, and z necessarily has the greatest value?
1.23w = t
1.01x = t
0.99y = t
0.23z = t
z
200
What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ?
5/8
300
Which of the following expressions is the closest approximation to the height h, in feet, of the roof truss shown below?
15 tan(20 degrees)
300
Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year
22
300
A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?
54
300
If (20y+5)(4y-30)=80y^2+by-150 for all values of y where b is a constant, then which of the following is the value of b?
-580
300
Points A, B, C, and D are on a line such that B is between A and C, and C is between B and D. The distance from A to B is 6 units. The distance from B to C is twice the distance from A to B, and the distance from C to D is twice the distance from B to C. What is the distance, in units, from the midpoint of 
to the midpoint of 
?
18
400
Each side of the smaller square in the figure below is x inches long, and each side of the larger square is c inches longer than a side of the smaller square. The area of the larger square is how many square inches greater than the area of the smaller square?
2xc+c^2
400
A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?
$56
400
If h(x) = x³ + x and g(x) = 2x + 3, then g(h(2)) = ?
23
400
Polynomial function g is defined as g(x)=x^3 - ax^2 -17x+12, where a is a constant. If x+4 is a factor of the polynomial, then what is the value of a?
1
400
The distribution of Jamal’s high school grades by percentage of course credits is given in the circle graph below. What is Jamal’s grade point average if each A is worth 4 points; each B, 3 points; and each C, 2 points?
3.6
500
A cube with edges ½ inch long is shown below. What is the length, in inches, of a diagonal that runs from one corner of the cube to the opposite corner?
500
A boat departs Port Isabelle, Texas, traveling to an oil rig. The oil rig is located 9 miles east and 12 miles north of the boat's departure point. About how many miles is the oil rig from the departure point?
15
500
This quadratic equation has roots that are also solutions to the equation x^4−6x^3+11x^2−6x=0. What is the quadratic equation?
x^2 - 5x + 6
500
For all nonzero real numbers p, t, x, and y such that 
, which of the following expressions is equivalent to t ?
3py/2x
500
What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o'clock?
30 degrees