|∫a(t) dt|
Jason was driving at 120mph for 5 minutes when a police officer caught him speeding! After pulling him over for 2 minutes, he lets Jason off with a warning. Being more cautious now, Jason drives the next 15 minutes at 40mph. How many miles did Jason drive in this time?
What is 20 miles?
This number is the base of the natural logarithm and also found in the infinitely accumulating compound interest formula.
What is e?
Three fourths of a pitcher is filled with pineapple juice. The pitcher is emptied by pouring an equal amount of juice into each of 5 cups. This is the percent of the total capacity of the pitcher that each cup received.
What is 15%?
This man first proved that there exist infinitely many prime numbers.
Who is Euclid?
The school year (ex. 2010-2011) when Max and Dhruti were in Mr. Chen's Math 7/8 Class.
What is 2018-2019?
If Max is accelerating towards the door after a Calculus test at 2m/s^2, how far does he travel in 3 seconds if he starts from rest?
What is 9 meters?
The area of a circle is √ 2 times its perimeter. What is the radius of the circle?
What is 2√ 2?
This is the option below that does NOT divide 18464652.
A) 2
B) 4
C) 8
D) 9
What is C. ?
This man came up with Riemann's hypothesis.
Who is Riemann?
The number of classes Max, Dhruti, Wendy, and Gary all have in common at Arcadia High.
What is 0 (sadge)?
Gary wants to integrate the equation y=|x|+2.3 with bounds -1 to 1. He therefore first considers the area on top of the x-axis and then subtracts it from the area below. What is the area he has to consider that is below the x-axis?
What is 0?
This number has a specific name and is one of the roots of x^2 - x - 1 = 0.
What is the Golden Ratio?
Bob is tiling the floor of his 12 foot by 16 foot living room. He plans to place one-foot by one-foot square tiles to form a border along the edges of the room and to fill in the rest of the floor with two-foot by two-foot square tiles. This is the number of tiles that he will use.
What is 87?
This famous conjecture states that every even natural number greater than 2 is the sum of two prime numbers.
What is Goldbach's conjecture?
This is the total number of math circle meetings hosted this semester. (Including this one)
What is six?
This number is the derivative of all constant numbers (ex. 2, 3, 25.2, -2) and is also conveniently the number of times Max has qualified to the AIME.
What is 0 (;-;)?
Mr. Chen wants to buy some coffee for Jason, who's stressing over his college finals as we speak. Max sells coffee in a cone-shaped cup with a base of area 11 and height of H. Avik from Foothills Math Circle sells coffee in a cylinder-shaped cup with radius 1 and a height of H. This is the ratio of Avik's cup volume to Max's cup volume.
What is 3π/11?
This is the smallest integer greater than 1 that leaves a remainder of 1 when divided by 4, 5, and 6.
What is 61?
These men are considered the fathers of Calculus.
Who are Newton and Leibniz?
This current math team captain at Arcadia High graduated from First Avenue and attended math circle when he was in middle school.
Who is Hugo?
A particle is moving with a velocity v=4t+3, where t is in seconds. If the object was at x=0 meters at 0 seconds, where is the object at 1 second?
What is 5 meters?
One of the roots of the polynomial x^3 + 6x^2 + 21x + 26 is -2 + 3i. This is the other nonreal root of this polynomial.
What is -2 - 3i?
Gary walks up a flight of six stairs to attend his physics class. He can either take 1, 2, or 3 stairs at a time. This is the number of different ways that Gary can climb the stairs.
What is 24?
This method is used to find all prime numbers in any given range (named after the individual who suggested it)
What is the Sieve of Eratosthenes?
This is the solution to 9+10
What is 19? (Accept 21)