On October 12, 2006, Michael Cresta scored 830 points in a game of Scrabble. At one point in the game, the letter R was on the board, and he had the letters I, O, Q, U and X on his rack. In the bag of tiles, there were 3 Ts, 1 Y and 52 other tiles. He needed to draw a T and a Y in two draws, without replacement, to have the letters to make the word QUIXOTRY. What is the probability of getting a T and a Y when 2 tiles are randomly selected, without replacement, from the bag of tiles described? Express your answer as a common fraction.

A boat can hold three people, one of whom needs to row to cross a river that is 20 yards wide. What is the minimum distance the boat must travel to transport 9 people from the left bank of the river to the right bank?

How many ordered pairs of integers (x, y) satisfy xy = 144?

The odds against the Patriots playing in the championship game are 4:1. The odds against the Texans playing in the championship game are 7:1. What is the probability that those two teams will play each other in the championship game? Express your answer as a common fraction.

There exist two non-congruent right triangles for which the length of the shorter leg in each triangle is 9 units and all sides have integer lengths. What is the sum of the lengths of the longer legs of these two triangles?

The ides occur on the 15th day of March, May, July and October, but the ides occur on the 13th day of every other month. What is the maximum number of days strictly between two ides?

Line m is tangent to a circle at the point (3, 7). If (1, 4) is the center of the circle, what is the slope of line m? Express your answer as a common fraction.

A wooden cube is painted on each of its faces and then cut into n\(^3\) unit cubes. If 216 of those smaller cubes are painted on exactly one face, what is the value of n?

In the Mexican jungle, an archaeologist finds a right square pyramid with a base edge length of 60 yards. The pyramid has lateral edge length 50 yards. In square feet, what is the total surface area of the lateral faces of the pyramid?

The closing price of a stock on Tuesday was double its closing price on Monday. Its closing price on Wednesday was 3 times its closing price on Tuesday. Its closing price on Thursday was 10 times its closing price on Wednesday. Its closing price on Thursday was $72,000. What was its closing price on Monday?

A cylindrical tank starts with an unspecified amount of water in it, and water is added to it at a constant rate. After 8 hours the depth of the water in the tank is 34 feet. After 12 hours, the water depth is 35 feet. After how many hours in all will the water depth in the tank be 37 feet?

In the decimal representation of \(\dfrac{1}{17}=\) 0.05823529411m647, what is the value of the digit m?

If \(f\left(x\right)=\left\{{}\begin{matrix}\sqrt{x}\left(x\ge16\right)\\x+1\left(10< x< 16\right)\\\dfrac{x}{2}-10\left(0\le x\le10\right)\\x^2\left(x< 0\right)\end{matrix}\right.\) 

then what is the value of \(f\left(f\left(f\left(f\left(f\left(f\left(f\left(f\left(f\left(f\left(f\left(f\left(f\left(13\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\)?

What is the value of 1 + 1 when written in base 2?

A new solid pyramid with a square base of side length 30 m will be constructed surrounding an existing solid pyramid with a square base of side length 20 m, as shown. If the existing and new pyramids are similar, what is the ratio of the total volume of the new pyramid to the volume of the old pyramid? Express your answer as a common fraction.

The Pine Lodge Ski Resort had exactly 200 inches of snowfall in 2000. The table shows the percent change in total snowfall for each year compared with the previous year. After 2003, what was the total snowfall, in inches, the year that the total snowfall first exceeded 200 inches? Express your answer as a decimal to the nearest hundredth.

A group of children stopped to buy ice cream from a stand that sold 9 different flavors of ice cream. When every child in the group had purchased one double-scoop cone with two different flavors, every possible two-flavor combination had been served exactly once. If none of the children purchased the same two flavors, how many children were there in the group?

Penny has 4x apples and 7y oranges. If she has the same number of apples and oranges, what is the ratio of x to y? Express your answer as a common fraction.

A pilot flew a small airplane round-trip between his home airport and a city 720 miles away. The pilot logged 5 hours of flight time and noted that there was no wind during the flight to the city, but he did encounter a headwind on his return flight. If the pilot was able to maintain a speed of 295 mi/h during the flight to the city, what was his average speed during the return flight, in miles per hour? Express your answer as a decimal to the nearest hundredth.

What numeral in base 8 is equivalent to 332\(_5\) (denoting 332 base 5)?