Pathfinding
Stars and Bars
Inclusion/Exclusion
Geometric Probability
Any Math Concept
100
The number of paths from the top left to the bottom right corner of a 8 by 7 grid.
What is 15 Choose 8/ 6435?
100
The number of ways to distribute 12 pieces of candy to Aashrith, Alyssa, and Jonathan.
What is 14 choose 2?
100
The number of math team officers that like pizza or hotdogs if 8 officers like pizza, 4 officers like hotdogs, 2 officers like pizza and hotdogs.
What is 10?
100
If a point is randomly placed on the circle, find the probability of the point being in between AB and AC.
(Check PPT)
What is 15/360 or 1/24?
100
Let x = -2016. Find the value of | ||x| - x|- |x| | - x
What is 4032?
(AMC 12B 2016 #3)
200
The number of paths from A to B in the following grid that go through X or Y.
Check PPT
What is 91?
200
Number of solutions to the equation a +b +c +d + e = 15 where a, b, c, d, e are all non-negative integers.
What is 19 choose 4?
200
Number of integers in the set {1, 2, ..., 99, 100} are divisible by 2 or 3.
What is 67?
200
Max has 5 darts he can throw at the target, with blue worth 1 point, red worth 3 points, and yellow worth 5 points. He is guaranteed to always land a dart on the target, and the probability of where the dart lands is uniform across the entire target. Find the expected number of points that Max can get.
(Check PPT)
What is 9?
200
All three vertices of triangle ABC lie on the parabola defined by y = x^2, with A at the origin and BC parallel to the x-axis. The area of the triangle is 64. Find the length of BC.
What is 8?
(AMC 12B 2016 #6
300
The number of paths from A to B in the following grid that go through X, Y, and Z.
(do not multiply)
Check PPT
What is 8 choose 4 times 7 choose 3?
300
Number of ways to distribute 7 pieces of chocolate to Jungwoo, Max, and Ryan, where each person must get at least one piece of chocolate.
What is 6 choose 2?
300
Number of integers not divisible by 2, 3, or 5.
What is 74?
300
Jungwoo randomly places a point inside the circle and ang CAB is equal to 120 degrees. Find the probability that it will inside the shaded region.
(Check PPT)
What is pi/3 - root (3)/4?
300
Josh writes the numbers 
. He marks out 
, skips the next number 
, marks out 
, and continues skipping and marking out the next number to the end of the list. Then he goes back to the start of his list, marks out the first remaining number , skips the next number 
, marks out 
, skips 
, marks out 
, and so on to the end. Josh continues in this manner until only one number remains. Determine which of the following 5 numbers is the one number remaining.
13, 32, 56, 64, 96
What is 64?
(AMC 12B 2016 #7)
400
The number of paths from A to B in the following grid.
(do not multiply)
Check PPT
What is 224?
400
Number of ways to give out 11 slices of pizza between Alexandra, Ethan, Pranavi, and Warrina, where Ethan does not get more than 3 slices, and everyone gets at least 1 slice.
What is 10 choose 3 - 7 choose 3?
400
Number of arrangements of "CATCATCAT" that contain the substring "CAT."
What is 691?
400
a is randomly chosen from [0, 100] and b is randomly chosen from [0, 10]. Find the probability that a < b.
What is 50/1000 or 1/20?
400
A quadrilateral has vertices 
, 
, 
, and 
, where 
and 
are integers with 
. The area of 
is 
. Determine which of the following integers is equal to
.
4, 5, 6, 12, 13
What is 4?
(AMC 12B 2016 #10)
500
The number of paths from A to B in the following grid.
(do not multiply).
Check PPT
What is 10 choose 3 times 5112?
500
Let a +b +c = 14 where a, b, c are all non-negative integers. find the probability that a < b < c.
What is 16/16 choose 2?
500
The number of ways to seat 4 couples so that no couple sits next to each other.
What is 8! -8(7!) +24(6!) -32(5!) + 16(4!)/ 13,824/ equivalent number?
500
Two points are chosen independently and randomly on the sides of a square with a side length of 1. Find the probability that the distance between the points is less than 1/2.
What is (6+pi)/32?
500
All the numbers 
are written in a 
array of squares, one number in each square, in such a way that if two numbers are consecutive then they occupy squares that share an edge. The numbers in the four corners add up to 
. Find the number in the center.
What is 7?
(AMC 12B 2016 #12)