Mental Math
Famous Mathematicians
Equations
Theorems
Logic
100

8x7 = ?

56

100

Fill in the Blank:

____________'s Last Theorem.

Who is Fermat?
100

What is the equation for the area of a circle?

 What is A = pi*r^2?

100

What is the name of this theorem?

a^2 + b^2 = c^2

What is Pythagorean's Theorem?

100

What is the negation of " P -> Q" ?

What is " P and not Q" ?

200

What is the square root of 196?

14

200

Who is " The Prince of Mathematics" known for revolutionary work across multiple fields?

Who is Carl Freidrich Gauss?

200

What is Slope-Intercept form?

What is Y = mx + b
200

What is the Quadratic Formula?

What is (-b +/- \sqrt{b^2 -4ac}) / 2a ?

200

What is the Contrapostive of " P -> Q" ?

What is "not Q implies not P" 

300

What is 15% of 240?

36

300

Which famous mathematician is know as the "Father of Geometry" ?

Who is Euclid

300

What is i ?

What is  i = \sqrt{-1}

300

What is the Triangle Sum Theorem?

What is " The sum of all 3 interior angles in any triangle is always equal to 180 degrees"?

300
When proving that something is true for every natural number, what proof technique is often used?

What is a proof by induction?

400

What is 99^2 ?

9801

400

which famous mathematician is known for "discovering" the number e?

Who is Leohnard Euler? 

400

What is the name of the common calculus identity:

d/dx [ f(x) * g(x) ] = f'(x)*g(x) + f(x)*g'(x)?

What is the Product Rule?

400

What is the name of the following theorem?

"The sum of the lengths of any two sides of a triangle must always be greater than the length of the third."

What is the Triangle Inequality Theorem

400

To prove the statement “If n is even, then n^2 is even,” which proof method is best?

What is a direct proof?

500

What is 125^2 - 75^2

10,000

500

This mathematician formulated the incompleteness theorems, showing that sufficiently powerful mathematical systems contain statements that cannot be proved within the system.

Who is Kurt Gödel?

500

What is Euler's formula: e^{i*theta} = ?

What is cos(\theta) + i sin(\theta) ?

500

What does the Prime Number Theorem State?

What is " Primes become less common as they get larger" - that is, "primes have an asymptotic distribution in the natural numbers"?

500

To prove or disprove: If a2 is even, then a is even. What proof technique gives a particularly short argument?

What is a proof by contrapostiive?

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