The length of a rectangular field is 75 meters.
Its width is 15 meters.
Sofie ran around the track 3 times.
How far did she run?
What is 540 meters
(15*2+75*2)*3 = 540
OR
we don't know because there isn't enough information given relating the track to the field. Correct response is up to the quiz master.
100
How can you sum eight 8's to get 1000? you may ONLY use addition (obviously)
What is 888 + 88 + 8 + 8 + 8
100
A matrix whose determinant equals zero
What is a Singular Matrix?
100
The "Father of Numbers"
Who is Pythagoras?
100
Lim x-> infinity of sin(x)/x
What is zero.
200
Name polygon prefixes for 3 - sides up to 12 sides.
(hint 4 is not quad)
In a certain country ½ of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ?
What is 4?
(1/2 * 5) = 3; multiply both sides by 1/3. then by 2. then by 2 again.
200
The three elementary row operations.
What is
1. Interchange two rows; 2. Multiply a row with a nonzero number; 3. Add a row to another one multiplied by a number.
?
200
A mathematician with a particular interest in economics and game theory who earned a doctorate in 1950 with a 28-page dissertation on non-cooperative games.
Who is John Forbes Nash, Jr.?
200
limit as (x,y) -> (0,0) of ((x^3)*y)/(x^6+y^2)
What is the limit DNE
300
c^2 = a^2 + b^2 - 2ab*cos(gamma)
What is the law of cosines?
300
What is the next number in the sequence
a1: 1,
a2: 11,
a3: 21,
a4: 1211,
a5: 111221,
a6: 312211
a7: ??
it may help to write this out on the board.
a7 = 13112221;
each term "describes the number before it" that is a7 describes a6 as (one three, one one, two twos, two ones = 13 11 22 21)
300
A mapping L: V -> W such that; L(a*v1+b*v2) = a*L(v1)+b*L(v2); v1,v2 are vectors in V; a, b are scalars.
What is a Linear Transformation
300
The British mathematician who in 6 years of near isolation came up with a proof for Fermat's Last Theorem
Who is Andrew Wiles?
300
Stewart: applications of integration: Volumes
Find the volume of the solid obtained by rotating the region bounded by the given curves and the specified axis:
y = x^2, x = y^2, x = -1
What is (29*pi)/30
400
Write the equation of a circle whose diameter has endpoints (4, -1) and (-6, 7).
What is: (x+1)^2 + (y-3)^2 = 41
400
The smallest 3-digit palindrome that is divisible by 18? Bonus points or treats if you can do it without a brute-force technique.
What is 252.
400
Given
A = [ 3 2; 3 -2]; what's the definition of the characteristic equation? find the characteristic equation and eigenvalues.
French mathematician concerned with rigor and convergence, most famous for his single-handed development of complex function theory. Many sequences bear his name.
Who is Augustin-Louis Cauchy?
400
Area between curves:
Find the area of the region bounded by x=y^2-2, x=e^y, y=1 and y=-1.
What is: e - (1/e) + (10/3)
500
An electric pump takes 3 hrs to fill a tank, but due to a leak in the tank now it takes 3 and 1/2 hrs to fill the tank. If the tank is full, how much time(in hrs) will the leak require to empty that tank?
the leak is such that fluid exits at a constant rate, AND the leak is at the bottom of the tank so it WILL empty completely.
21 hours.
Ro = V/3
3.5= V/(Ro-Rleak)
sub and solve.
500
Remember the game 24? you're given 4 integers and you may ONLY add, subtract, multiply and divide to get them to equal 24. each number may only be used once.
e.g. 1,1,1,8; (1+1+1)*8 = 24.
So try: 1, 8, 12, 12
12 / (12/8 - 1)
500
Calculate the scalar projection of the vector AB on the vector AC if:
A = (6,0); B = (3,5); C = (−1,−1)
AB = (-3,5)
AC = (-7,-1)
proj = (AB dot AC) / ||AC||
= 16/sqrt(50) = 16/(5sqrt(2)) = (8sqrt(2))/5
500
A German mathematician for whom a matrix composed of partial derivatives, or an iterative method for solving a diagonally dominant system of linear equations is named.
Who is Carl Gustav Jacob Jacobi?
500
A right circular cylinder is inscribed in a sphere of radius r. Find the largest possible surface area of such a cylinder.