Mathematicians & Fun Facts
Geometry
Algebra
Precalc/Calc
Halloween
100

Who were the first people known to use a multiplication table?

Egyptians

100

A right prism has a square base with side lengths of 10 inches. The height of the prism is 58 inches. What is the volume, in cubic inches, of the prism?

5,800 in3

100

Solve for x:

3(2x - 5) - 2(x + 4) = 17

x = 10

100

Find the average rate of change of the function:

f(x) = x2 - 2x + 8

from x1 = 2, x2 = 5

AROC = 5
100

What is a group of witches called?

A coven

200

A pioneer in statistics, and the inventor of the modern nursing profession.

Florence Nightingale

200

Right triangles PRQ and SUT are similar, where P corresponds to S. If the measure of angle Q is 18 degrees, what is the measure of angle S?

72 degrees

200

If x + (1/x) = 5, find the value of x2 + (1/x2)

x2 + (1/x2) = 23

200

Find the domain of the function:

f(x) = √(2x - 10) - 4

[-5, ∞)

200

What is the most popular Halloween candy in the USA?

Reese’s Peanut Butter Cups

300

Mathematicians have calculated there are 6,670,903,752,021,072,936,960 ways to complete this logic puzzle.

Sudoku

300

A region is bounded by semicircular arcs constructed on the sides of a square whose sides measure 2/pi. What is the perimeter of this region?

Perimeter = 4

300

Find all real solutions to the equation:

x4 - 2x3 - 7x2 + 8x + 12 = 0

x = +/- 2, 3, -1

300

Find the inverse of the function:

f(x) = (x + 1)/(x - 2)

f-1(x) = (2x + 1)/(x - 1)
300

What was candy corn originally called?

Chicken feed

400

His famous “Last Theorem” holds the record for the most wrong proofs ever published.

Pierre de Fermat

400

In the right triangle QRS, the length of hypotenuse SQ is 4√82 and the length of side QR is 4. What is the length of side RS?

RS = 36 units

400

Find all real values of x satisfying the equation:

(x + 1 )/(x - 2) + (x - 2)/(x + 1) = 5/2

X = 5, -4

400

Find the derivative:

3x3 - 7x2 + 2/√x - 4

9x2 - 14x - x-3/2

400

What was the most popular Halloween costume in 2025?

Rumi from k-pop Demon Hunters

500

This mathematician laid the groundwork’s for the probability theory, and when he fell ill at 1 years old, the local gossip was that a witch has cursed him.

Blaise Pascal

500

A rectangular field is half as wide as it is long and is completely enclosed by x yards of fencing. What is the area in terms of x?

x2/18

500

Given that x + y = 6 and xy = 4, find the exact value of 

f(x) = (x3 + y3)/(x2 + y2)

f(x) = 36/7

500

Find the equation of the tangent line to the function:

3x2y = 5x - y at the point (-1, 2)

y - 2 = -5/8 (x + 1)

500

What is a fear of Halloween called?

Samhainophobia

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