World's Hardest Math Quiz

What is the value of the mathematical constant π (pi) correct to 10 decimal places?

• 3.1415926535

• 3.1415926536

• 3.1415926534

• 3.1415926537

Tags

CCSS.8.NS.A.2

What is the value of the Riemann zeta function at s = 2?

• 0.5

• 2.71828

• 1.64493

• 3.14159

Prove the irrationality of the square root of 2 using a proof by contradiction.

• Proof by construction

• Proof by induction

• Proof by exhaustion

• Proof by contradiction

Tags

CCSS.HSN.RN.B.3

What is the value of the integral of e^x from 0 to 1?

• e^0 - 1

• e + 1

• e^2 - 1

• e - 1

Find the limit of (sin(x) / x) as x approaches 0.

• 0

• 1

• 2

• cos(x)

What is the value of the sum 1 + 1/2 + 1/3 + 1/4 + ... + 1/n as n approaches infinity?

• 0

• 1

• 2

• Infinity

Prove the convergence of the series 1 + 1/2 + 1/3 + 1/4 + ...

• Converges to 1

• Diverges

• Converges to 0

• Converges to 2

Solve the following trigonometric equation: sin(x) + cos(x) = 1

• x = nπ/2

• x = nπ/3

• x = nπ/4

• x = nπ/6

Tags

CCSS.HSF.TF.B.7