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Name of equation

100

x = (-b ± √(b² - 4ac)) / (2a)

quadratic formula

200

x = (-b′ ± √(b′² - ac)) / a

half-angle formula, even-coefficient formula

300

Sn=n(a1+an)/2

Sum of arithmetic sequence

400

e^i(pi)+1=0

Euler’s identity

500

 ρ(∂t/∂u+u⋅∇u)=−∇p+μ∇²u+f

Navier–Stokes equations

Easy calculation

100

sinθ+cos(90−θ)=?

2sinθ 

200

From a standard deck of 52 playing cards, if you randomly draw 2 cards without replacement, what is the probability that both cards are hearts?

1/17

300

3^2x+1+81

3/2

400

1+1

2

500

I=∫^∞ ₀(sinx/x)dx

pi/2

Fast mental arithmetic (in 20s)

100

5!

120

200

81÷9+7×3=?

30

300

Sum of odd numbers below 20

100

400

Sum of interior angles for hexagon

720

500

In a right triangle, if the height is 12 times 302 and the base is 5 times 302, what is the length of the hypotenuse?

3926