AMC
What is the sign and units digit of the product of all the odd negative integers strictly greater than -2015?
It is a negative number ending with a 5
A watermelon weighed 20 pounds and was 99% water. After sitting in the sun for several hours, a significant amount of water evaporated so that the watermelon was only 96% water. What is the new weight of the watermelon?
5 pounds
17 squared
289
Greek mathematician famous for a theorem relating the side lengths of right tirangles
Pythagoras
What can you put between 7 and 8 to get a result between 7 and 8?
A decimal point
Johann has 64 fair coins. He flips all the coins. Any coin that lands on tails is tossed again. Coins that land on tails on the second toss are tossed a third time. What is the expected number of coins that are now heads?
56
The sum of two rational numbers is 25/4 and the sum of their reciprocals is -2/3. What is the larger of the two numbers?
15/2
13 * 27
351
Greek mathematician known as the "father of geometry"
Euclid
What is the next number in the sequence? 4, 9, 24, 69...
204
Consider the set of all fractions x/y, where x and y are relatively prime positive integers. How many of these fractions have the property that if both the numerator and denominator are increased by 1, the value of the fraction is increased by 10%?
1
For all positive numbers a and b, function f satisfies f(ab) = f(a) + f(b). If f(2) = x and f(5) = y, what is the value of f(1000) in terms of x and y?
3x + 3y
17 / 32
0.53125
French mathematician after whom the Cartesian coordinate system is named
René Descartes
I am four times as old as my daughter. 20 years from now, I will be twice as old as her. Hold old are we now?
40 and 10
An ant starts at a given corner of a cube and crawls along exactly 7 edges such that they visit every corner once and are unable to return along an edge to their starting point at the end. How many path are there that satisfy these conditions?
6
A circle is inscribed into a square, and then an equilateral triangle is inscribed in the circle. The perimeter of the square is 24 inches. The ratio of the area of the equilateral triangle to the area of the square is A * sqrt(3) : B, where A and B are relatively prime integers. Determine the ordered pair (A, B).
(3, 16)
13th element of the fibonacci sequence
144
Indian mathematician with a summation stating that the sum of all natural numbers up until infinity is -1/12
Srinivasa Ramanujan
Turn me on my side and I am everything. Cut me in half and I am nothing. What am I?
8
A rectangular box measures a x b x c, where a, b and c are integers and 1 and 1 <= a <= b <= c. The volume and surface area of the box are numerically equal. How many ordered triples (a, b, c) are possible?
10
What is the 99th natural number that is divisible by 2 or 3, but not by 4?
237
8!
40320
English mathematician who is considered the first computer programmer and wrote about the first theoretical computer, the "Analytical Engine"
Ada Lovelace
(0! + 0! + 0! + 0! + 0! + 0!)!