Make 24
Quick Math
Math Facts
Name the formula
100

Make 24 with 1, 5, 7, 13

Many solutions
ex. (13-7)*(5-1) or (13-1)(7-5)

100

195 x 205 + 205 x 215

84050

100

What is the golden ratio in exact form (no decimals)?

(1 + sqrt5) / 2
1.61803...

100

c2 = a2 +b2 − 2abcosC

Cosine Law

200

Make 24 using 1, 6, 8, 13

6(13-8-1) = 24!

200

1 + (2 x 3)x 5 / 6

21

200

What is the only number greater then one that is a perfect square and perfect cube

64

200

Area = sqrt(s(s-a)(s-b)(s-c))

Heron's formula

300

Make 24 using 4, 4, 10, 10

(10*10-4) / 4

300

How many factors does 69420 have?

48

300

Who was the first person to introduce the concept of calculus?

Newton or Leibniz

300

(a+ a+ ... + an) / n  ≥  rootn(a1a2 ... an)

AM-GM Inequality

400

Make 24 using 1, 3, 9, 10

(1+10)*3 - 9 = 24


400

1 + 3 + 9 + 27 + ... + 6561

9841

400

What is Riemann's first name?

Bernhard Riemann

400

(1 + x)> rx
r ∈ ℤ, r ≥ 2
x ≥ -1

Bernoulli's Inquality

500

Make 24 using 1, 3, 4, 6

(6/(1−(3/4)))=24

500

How many zeroes are at the end of 100!100!100!

72

500

What score did Evan get on the AMC 10?

69

500

φ(n)=n[1 - (1/p1)][1 - (1/p2)]...
Where pk is the kth distinct prime factor of n.

Euler Totient Function

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