Geometry
Algebra
Number Theory
Arithmetic
Random
100
The shape with nine equal sides called
What is a nonagon/enneagon?
100
Find the distance between the points 
and 
. Express your answer in simplest radical form.
3 √(5)
100
A composite number is a number that has two or more prime factors. The number 
can be expressed as the sum of two composite numbers in many ways. What is the minimum positive difference between two such numbers?
3
100
19 × 8 + 25 − 2 ÷4 = ?
176.5
100
The person who the Pythagorean theorem is named after
Who is Pythagoras?
200
In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the middle lengthed side?
3 √(3)
200
A college student drove his compact car 120 miles home for the weekend and averaged 30 miles per gallon. On the return trip the student drove his parents' SUV and averaged only 20 miles per gallon. What was the average gas mileage, in miles per gallon, for the round trip?
24 miles/gallon
200
The 
day of a particular month is a Saturday. On what day of the week was the first day of that month?
Thursday
200
If it takes one person 44 hours to paint a room and another person 12 hours to paint the same room, how long would it take for them to paint the whole room together in hours?
3 hours
200
The only number with the same number of letters as its value
What is four (4)?
300
A trapezoid has one base equal to twice its height, 
, and the other base is three times as long as the height. Write the expression for the area of the trapezoid as a common fraction in terms of the height .
(5/2)x²
300
I have a bag with blue marbles and yellow marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 8:5. If I remove 12 blue marbles and add 21 yellow marbles, the ratio will be 1:3. How many blue marbles were in the bag before I removed some?
24 marbles
300
Let 
. Define 
to be the greatest common divisor of 
and 
. What is the maximum possible value that can take on?
1
300
Find the least positive integer that satisfies 
.
3
300
In a room of 23 people the chance/probability that two people have the same birthday is ...
What is 50%?
400
A line with slope of 
intersects the positive -axis at 
and the positive 
-axis at 
. A second line intersects the -axis at 
and the -axis at 
. The lines intersect at 
. What is the area of the shaded quadrilateral 
?
40
400
A ball is dropped from 1000 feet high and always bounces back up half the distance it just fell. After how many bounces will the ball first reach a maximum height less than 1 foot?
10 bounces
400
What is 
when expressed in base 10?
63
400
If 
and 
, then find the remainder when 
is divided by 19.
13
400
The sequence that appears in the spiral pattern of seashells, along with many other places in nature
What is the Fibonacci sequence?
500
Shortly after 10 'o clock, the hands of a clock made a 90 degree angle. What's the time? (Including the seconds hand)
10:05:27
500
What is the volume, in cubic centimeters, of a right rectangular prism with all integer edge lengths, and faces having areas of 
and 
square centimeters?
360 cm
500
Find the remainder of 
when it is divided by 5.
2
500
Find the least positive four-digit solution to the following system of congruences.
1167
500
In the diagram, 
and 
are squares each of area 16. If 
is the midpoint of both 
and 
, find the total area of polygon 
.
24