Alg/NT
The least common multiple of 72 and 96
What is 288?
Aishwarya has an army of origami penguins, all of which are blue, green, or purple. Of her penguins, 1/5 of them are blue, 1/3 of them are green, and 21 are purple. The number of penguins Aishwarya has.
What is 45?
What is x = (-b +- sqrt(b^2 - 4ac)) / 2a
This ancient civilization used hieroglyphs to represent numbers
What is ancient Egypt?
The spelling of oy-lr, an 18th century mathematician and physicist
Who is Euler? (known for a lot of stuff)
Given that the numbers 199 and 499 are prime, the sum of all positive integer divisors of 199*499 = 99301.
What is 100,000?
The largest angle in a quadrilateral with angles in ratio 1 : 4 : 3 : 4
What is 120 degrees?
(sqrt(6) - sqrt(2)) / 4
This ancient Greek mathematicians wrote The Elements
Who is Euclid?
The spelling of ai-SAA-suh-leez, when two sides of a triangle are equal.
What is isosceles?
Given a + b = 6 and ab = 7, the value of a^3 + b^3
Three points A, B, C are chosen on a sphere such that AB = 12; BC = 16; CA = 20 and the plane which passes through A, B, C passes through the center of the sphere. The radius of the sphere.
What is 10?
The first 4 digits of e
2.718
The spelling of taa-luh-mee, a roman mathematician and astronomer
Ptolemy (known for Ptolemy's theorem in geometry)
Given the number 5X0Y0 is divisible by 132, the value of X*Y.
What is 64?
The number of distinct simplified rational numbers between 0 and 1 exclusive where the denominator is 6 or less
What is 11?
(Quadratic Reciprocity)
When m, n are distinct odd prime numbers, the value of (m/n) (n/m), where (m/n) denotes Legendre symbol
(-1)^((m-1)/2 * (n-1)/2)
This IMO Gold Medalist was elected president of a European country
Who is Nicușor Dan?
Spelling of FOR-ur-baak, a German geometer
Feuerbach (known for Feuerbach point in geo)
Given that positive real numbers x, y, z satisfy,
xyz = 6
4yz − x = 5
y + z = 4
The value of x^2 + y^2 + z^2
What is 21?
In a triangle △ABC with AB = 10 and AC = 21, point E is chosen on AC such that CE = 15 and BE = 8. Let D the base of the altitude from A to BC then let AD intersect BE at H. The length of HE.
What is 45/4?
a, b, c, d are complex numbers such that |a| = |b| = |c| = |d| = 1. The expression for the intersection of line through a, b and line through c, d
(ab(c+d) - cd(a+b)) / (ab - cd)
The only Millennium Prize problem to have been solved
The poincaré conjecture
The spelling of jig-mun-dee
What is zsigmondy? (known for zsigmondy's theorem in NT)