Real World Geometry
Despite its slight vertical tilt, the Leaning Tower of Pisa in Italy can best be described as this type of 3D geometric figure.
Cylinder
True or False: -40ᵒ Celsius is equal to -40ᵒ Fahrenheit.
True
12399 x 7002
86,817,798
The sum of the interior angles in angle triangle will always equal this number.
180 degrees
This number equals to the number of square inches in a square foot.
144
Located in the heart of Paris, the giant glass structure located in the main courtyard of the Louvre Museum is this geometric shape.
Pyramid
In gambling and investing, the term “Perms and Combs” is often used, where “Perms” refers to Permutations, a set where the order matters, and “Combs” refers to __________________________, a set where it does not.
Combinations
A basketball bounces back up about ½ the height from which it is dropped. If a basketball is dropped from 120 feet and keeps bouncing, what is its vertical height after it hits the floor for the 3rd time?
15 feet
This value is the only whole number that can not be represented using Roman Numerals.
Zero
This number equals to the sum of the first three perfect cubes.
36
Often found in tile patterns and in the artwork of M.C. Escher, this concept refers to the repeated arrangement of interlocking figures and shapes.
Tessalations
This fraction represents the odds of flipping a coin four times in a row and each time it landing on heads.
1/16
This is a three-digit number. The second digit is four times as big as the third digit, while the first digit is three less than the second digit.
141
This field of mathematics is concerned with the sines, cosines, and tangents of angles.
Trigonometry
This number equals to the product of the first three prime numbers.
30
What is the name of the self-repeating patterns seen in ferns and coastlines?
Developed by Alfred Wegener, this mathematical model explains the movements related to plate tectonics.
Continental Drift
(1,234)² means 1,234 x 1,234; (1,234)³ means 1,234 x 1,234 x 1,234; and so forth. When (1,234)²³ is completely multiplied out, what will the number be in the ones place?
4
An icosahedron is a polyhedron with 20 faces, each of which is one of these shapes.
Triangle
x2 - 6x - 27 = 0
x = -3, x = 9
These are the numbers of black pentagons and white hexagons on a standard soccer ball.
12 black pentagons and 20 white hexagons
This number is a palindrome. It is between 50,000 and 60,000. It is evenly divisible by 9. The number in its hundreds place is 0.
54,045
The number 100 can be made by only using four 7s and one 1, arranged in this manner.
177 – 77 = 100
or
(7+7) x (7 + (1/7)) = 100
This unimaginably large number can be represented by 10 raised to the power of 100.
Googol
(4b/5) - 7 =(b/10)
b = 10