Triangles, triangles, triangles
Can you beat a 5th grader?
Solve for X
Infinity and Beyond
Hi, my name is
200
It's is the area of a triangle with side lengths 5, 29, 30.
What is 72?
200
These are the four main components of a division equation.
What is the dividend, the divisor, the quotient, and the remainder?
200
This x is the smallest integer value that solves the following equation, where a and b are both integers.
x = 533a + 4961b
What is 41?
200
A function with this property results in an "overshoot" within its Fourier expansion, named after physicist Josiah Gibbs.
What is a jump discontinuity?
200
This French mathematician generalized the Riemann integral and pioneered measure theory.
Who is Henri Lebesgue?
400
Daily Double
Estimate the number of different scalene triangles with integral lengths that have a perimeter less than 1,000.
400
This is the fahrenheit equivalent to -40°C.
What is -40°F?
400
Let g be the function g(a,b) = a2+16b2=16. This is the minimum value of x if
x = a2 + 2b2
What is 2?
400
In 1910, the following infinite series was found to converge to this mathematical constant.
What is 1/π?
400
This German mathematician introduced the triple bar (≡) for congruence in modular arithmetic, but their name is associated more with the bell curve.
Who is Carl Friedrich Gauss?
600
Let △ABC be inscribed in a circle centered at O. The central angle about AC is 120°, and that about BC is 72°. This is the magnitude of ∠OBE, where E is drawn such that OE and AC are perpendicular.
What is 12°?
600
This is the Mean Absolute Deviation (MAD) of the following set of values:
{2, 4, 6, 8, 10, 12}
What is 3?
600
A monkey types randomly on a simple typewriter (44 keys) at approximately 130 keys/min over 5 hours. Let X be the random variable denoting occurrences of the string 'hi'. This is the expected value of X.
What is approximately 20.14?
600
The notion that a property holds "almost everywhere" implies that it holds for all elements of a set except for this.
What is a set of measure zero?
600
This person is the namesake of Cartesian Geometry.
Who is René Descartes?
800
Trigonometric functions sin(x) and cos(x) are not bounded under this domain for x.
What is the complex plane?
800
It's pair (x, y) solves the following system:
x - 4y = -2
3y + xy = 12
x - xy + 2y = 1
What is (3, 2)?
800
Sally is completing a coloring page with x markers. To fulfill her particular aesthetic, this is the minimum x she needs to make sure no two colors are adjacent.
What is 4?
800
Within set theory, it's the hypothesis that establishes the relative cardinalities of the set of integers and the set of real numbers.
What is the continuum hypothesis?
800
Revolutionizing set theory, this mathematician found that maybe you can count to infinity with the help of a snake.
Who is Georg Cantor?
1000
With the angle sum and difference identities, the Dirichlet kernel converges to this limit.
What is
1000
This 3D shape can be formed using the following net
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What is an octahedron?
1000
A repunit is a natural number whose digits are all equal to 1, i.e., {1, 11, 111, ...}. Let x denote the positions of all of the repunits divisible by 7. This is the smallest value of x.
What is 6?
1000
Daily Double
Estimate the value of this integral
1000
This mathematical paradox states that from 1 three-dimensional ball, you can produce 2 identical ones.
What is the Banach-Tarski Paradox?