Algebra
Geometry
Statistics
Trigonometry
Mental Math
1
Two swimmers, at opposite ends of a 90-foot pool, start to swim the length of the pool, one at the rate of 3 feet per second, the other at 2 feet per second. They swim back and forth for 12 minutes. Allowing no loss of times at the turns, find the number of times they pass each other.
(A) 24
(B) 21
(C) 20
(D) 19
(E) 18
20 times
1
The diagram shows a regular hexagon ABCDEF with center O.
What is the area of the hexagon?
23.4
1
Josanna's test scores to date are 
and 
Her goal is to raise her test average at least 
points with her next test. What is the minimum test score she would need to accomplish this goal?
95
1
Which one of the following Quotient Identities is correct?
1
How many thousandths make a thousand?
106
2
Supposed that 
and 
are nonzero real numbers such that 
. What is the value of 
?
2
2
The diagram shown a prism with a cross section that is a regular heptagon.
The length is 25 cm and the area of the cross-section is 230 cm2.
What is the volume of the prism?
5750
2
In a jar there are blue jelly beans and green jelly beans. Then, 
of the blue jelly beans are removed and 
of the green jelly beans are removed. If afterwards the total number of jelly beans is 
of the original number of jelly beans, then determine the percent of the remaining jelly beans that are blue.
0.85/ 85%
2
336/625
2
84 x 38
3192
3
is the minimum point of the parabola and the parabola intersects the y-axis at the point 
. If the area if the rectangle 
is 
, then the equation of the parabola is
y=0.5(x-2)2
3
What is the area of the triangle in cm² ?
19.8
3
My grandparents are Arthur, Bertha, Christoph, and Dolores. My oldest grandparent is only 
years older than my youngest grandparent. Each grandfather is two years older than his wife. If Bertha is younger than Dolores, what is the difference between Bertha’s age and the mean of my grandparents’ ages?
2 years
3
L, M and N are the midpoints of the sides AB, BC and CA of triangle ABC.
AM, BN and CL intersect at G.
If BN = 12.6 units, then what is the length of GN?
4.2 units
3
12364 - 9186 + 543 - 221 - 3600
-100
4
The first four terms of an arithmetic sequence are 
, 
, 
, and 
. What is the 
term of this sequence?
8041
4
The figure below shows a large white circle with a number of smaller white and shaded circles in its interior. What fraction of the interior of the large white circle is shaded?
11/36
4
A die is thrown once. What is the probability that the score is a factor of 6?
2/3
4
The graph shows one cycle of a trigonometric function. Which function?
0.8sin(5x)
4
(9)1/2 X (27)1/3 X (81)1/4 X (243)1/5
81
5
A number is 
more than the product of its reciprocal and its negative. In which interval does the number lie?
0 < x <= 2
5
The perpendicular heights of two similar triangles are in the ratio 3 : 5
If the area of the larger triangle is 450 cm2, then what is the area of the smaller triangle?
162
5
For a group of six married couples, what are the chances that any of the couples celebrate their wedding anniversary this year on the same day of the week?
95.7%
5
The diagram is not drawn to scale.
Which of the following inequalities for x is correct?
1 < x < 15
5
State pi to the first 10 digits
3.141592654