Trivia/History
Who is credited with this sequence?
1,1,2,3,5,8,13,...
Fibonacci/Leonardo Bigollo
What is the equation for the difference quotient? (Limit used to approximate slope/derivative of a function f(x))
[f(x+h) - f(x)]/h
What's the Pythagorean theorem?
a2 + b2 = c2
(given that a,b,c are side lengths of a right triangle and c is the hypotenuse)
Calculate 6!
720
Where do we get the pizza for meetings?
Antoon's!
Which Greek mathematician is known as the "Father of Geometry"?
Euclid
What's the derivative of elog3(6)?
(e ^ (log base 3 of 6)
0
What's Euler's identity?
eiπ+1=0
What is 14 x 16?
224
Use the number 4 four times to get to 15.
(First working solution wins!)
(4x4)-(4/4)
Who developed the Cartesian coordinate system in the 17th century?
René Descartes
What's the derivative of tan(4x)?
4sec2(4x)
What's the equation for a combination? (nCr)
(The number of possible outcomes if choosing r objects out of a set of n total objects, where order doesn't matter)
nCr = n!/(r!(n-r)!)
Which one is equal to 1?
a) cos2(x) - sin2(x)
b) sec2(x) + tan2(x)
c) tan2(x) - sec2(x)
d) sec2(x) - tan2(x)
d) sec2(x) - tan2(x)
Name the members of the math club board and their roles!
(1 point for each name/role, best-scoring team wins the round)
(you have 1 min)
Sasha- President
Amelia- VP/secretary
Dominic- Social Media Manager
Amit- Business Manager
Which computer scientist/mathematician is known for leading a team of cryptographers to break the German Enigma Code in WWII?
Alan Turing
Calculate: ʃ ln(2x)/x dx
ln2(2x)/2 +C
What's the equation of the future value (F) of an investment, given a present value P, an effective interest rate i, and a span of t years?
F = P(1+i)n
What is cos(pi/3)?
1/2
Prove that 11n - 6 is divisible by 5 for all natural numbers n
Base case: when n=1, 11-6=5
Assuming 11n-6=5a (a=natural number), 11n+1-6 = 11(11n)-6 = 10(11n)+11n-6 = 10(11n)+5a = 5[2(11n)+a]
When was Newton's Method of Fluxions treatise published?
(Closest answer gets the point)
1736
Calculate: ʃ 3x dx
3x/ln(3) +C
The area under the function y(x) is rotated around an axis. What's the equation to find the volume of the rotated form?
(axis of your choice- there are a couple ways to write this, so the fastest group gets the point)
ʃ π·y(x)2 dx
OR
ʃ 2πx·y(x) dx
(sorry about formatting, I promise I tried everything else)
Approximate sqrt(20) without a calculator- the closest answer gets the point (you have 1 min)
(Paper/pencil allowed)
4.472135955
Fred, Daphne, Velma, Shaggy, and Scooby stand in line for pizza at a math club meeting. How many ways can they be arranged so Shaggy and Scooby are always next to each other?
48 ways!
(Treating Shaggy and Scooby as 1 person, we can arrange 4 people in 4! = 24 ways. If we switch Shaggy and Scooby's places, we get 2 x 24 =48 ways total.)