Concepts & Theorems
Everyday Engineering
Math Through Time
Marvelous Materials
Mind Over Math
100

This branch of mathematics deals with the study of shapes, sizes, and properties of figures and spaces.

Geometry

100

This geometric shape is used by bees in honeycomb,  humans in cardboard, and is sometimes referred to as the "bestagon".

The Hexagon

100

This Greek mathematician is known as the "Father of Geometry."

Euclid

100

Which material is lightweight, strong, and used in everything from cars to Tupperware?

Plastic

100

If X+5=12, then what is X=?

X=7

200

The slope of a line is often described as this.

Rise over Run

200

This part of a car is designed to absorb impact energy during a collision to protect passengers.

A Crumple Zone

200

This mathematician’s theorem about right triangles states that A² + B² = C².

Pythagoras

200

What class of materials conduct with zero electrical resistance at near 0 temperatures?

Superconductors

200

A circle has a radius of 7. What is its area?

49pi

300

This concept describes the average distance of a set of numbers from their mean

Standard Deviation

300

This device converts rotational motion into linear motion and is commonly used in car engines and fluid pumps.

A Crankshaft

300

This civilization was the first to use zero as a placeholder in positional notation.

The Babylonians

300

Which lightweight metal is incredibly strong, has a high melting point, is biocompatible, and has a pop/EDM song named after it?

Titanium

300

What does (X-Y)(X+Y) simplify to?

X²-Y²  

400

This branch of mathematics studies the properties and relationships of integers, including divisibility and modular arithmetic.

Number Theory

400

This mechanical device is used in seesaws, crowbars, and scissors.

A lever

400

Who proved the Earth was round using shadows?

Eratosthenes

400

What class of material is made from hardening a viscous substance and is used in most fields of engineering?

Resins

400

Which trigonometric identity is used to prove the following expression? sin(x) = 1/csc(x).

The Reciprocal Identity

500

These numbers, such as 'e' and 'pi', cannot be expressed as roots of any algebraic equation with integer coefficients.

Transcendental Numbers

500

This simple machine is what the threads on a screw are, the Egyptians used these to build the pyramids.

An Inclined Plane

500

Which famous mathematician successfully defended their island for years using math?

Archimedes

500

What new generation material is very lightweight and is manufactured using supercritical fluids?

Aerogel

500

If sin⁡(θ)=3/5, and θ is in quadrant 1, then cos⁡(θ) is this value.

4/5