AAH Math Team

[This problem is worth 5 points.] A fair coin is flipped 10 times. Find the probability that there are no consecutive tosses that come up ...

[This problem is worth 4 points.] Let k be an integer such that 36 + k, 300 + k, and 596 + k are the squares of three consecutive terms of...

[This problem is worth 3 points.] The polynomial x 2 + bx + c is a factor of both x 4 + 6x 2 + 25 and 3x 4 + 4x 2 + 28x + 5. What are...

We factor into (π - 3)(π - 4). The first factor is positive and the second is negative, so the product is negative.

[This problem is worth 6 points.] What is the area of the largest square in the Cartesian coordinate plane such that the interior of the s...

[This problem is worth 4 points.] Find the area enclosed by the graph of |x-60| + |y| = |x/4|.

The point (2,2) can be reached in either 4 or 6 steps. If it is reached in 4 steps, those steps must be R, R, U, U, in some order. There are...