SCIENCE
TECHNOLOGY
ENGINEERING
MATH
HMMT
100
Name the three classes of carbohydrates.
Monosaccharides, disaccharides, polysaccharides
100
Who is considered the first computer programmer?
Ada Lovelace
(female!!)
100
What is the name for a device that converts alternating current to direct current?
Inverter
100
Prove the Pythagorean theorem
100
Dylan has a 100×100 square, and wants to cut it into pieces of area at least 1. Each cut must be a straight
line (not a line segment) and must intersect the interior of the square. What is the largest number of cuts
he can make?
9999
200
What is the name for the radiation that is thought to be left over from the Big Bang?
Cosmic Microwave Background
200
If a video game has DLC go online, it means it has ______________ content
downloadable
200
What kind of bridges are the following:
Zakim Bridge
Brooklyn Bridge
Sydney Harbour Bridge
Cable-stayed bridge
Suspension bridge
(Steel) Arch Bridge
200
Determine all complex number z that satisfy the equation
z + 3 z' = 5 - 6i
where z' is the complex conjugate of z.
1.25 +3i
200
For how many positive integers a does the polynomial
x^2 − ax + a
have an integer root?
1
300
Which of the following is not a vestigial structure?
Appendix
Goosebumps
Uvula
Tailbone
3. Uvula
300
Founded in Israel in 2006 this Google app to map the fastest route for drivers often takes you down side streets
waze
300
On April 28, 1869, laborers laid a record 10 miles of track in one day in the final stretch of building this
The Transcontinental Railroad (sorry juniors)
300
Find the constants a and b so that all the 4 lines whose equation are given by x + y = -1
-x + 3y = -1
ax + by = 4
2ax - by = 2
pass through the same point.
A = 1
B = -2/3
300
A point P is chosen uniformly at random inside a square of side length 2. If P1, P2, P3, and P4 are the
reflections of P over each of the four sides of the square, find the expected value of the area of quadrilateral
P1P2P3P4.
8
400
What chemical element was commonly known as hydrargyrum?
Mercury - from latin for “silver water”- also the reason Mercury’s symbol is Hg
400
What are these called: plural units of processing power stand for floating-point operations per second
Flops- a measure of computer performance
400
The Eiffel Tower was built using 2.5 million rivets & 14 million pounds of this material
Iron
400
The triangle bounded by the lines y = 0, y = 2x and y = -0.5x + k, with k positive, is equal to 80 square units. Find k.
10
400
Wendy eats sushi for lunch. She wants to eat six pieces of sushi arranged in a 2 × 3 rectangular grid, but
sushi is sticky, and Wendy can only eat a piece if it is adjacent to (not counting diagonally) at most two
other pieces. In how many orders can Wendy eat the six pieces of sushi, assuming that the pieces of sushi
are distinguishable?
360
500
According to Einstein’s general theory of relativity, what would an observer from a spaceship see if they dropped a clock into a black hole?
As it approached the event horizon (the “point of no return” for a black hole), the clock would tick ever slower, but never appear to stop ticking or actually fall in the black hole
500
What is the name of one algorithm used in digital signal processing?
Fast Fourier Transform, Finite Impulse Response, Infinite Impulse Response
(any one of these is fine)
500
From the French for large box it's a watertight structure allowing men to work underwater
A Caisson
500
Solve this lol:
∫
π
2
0
cos
2008
(x)
sin
2008
(x)+
cos
2008
(x)
dx
okay someone is going to write the question on the board
pi/4
500
Find all ordered pairs (a, b) of positive integers such that 2a + 1 divides 3b − 1 and 2b + 1 divides 3a − 1. Hint: There are three ordered pairs.
(2, 2), (12, 17), (17, 12)