Number Theory
The sum of the first five prime numbers
What is 28?
The third angle in a right triangle with a fifty-three degree angle
What is 37 degrees?
The surface area of a cube with length two centimeters
What is 24 cm2?
There are one hundred kids. Twenty-five kids see Santa deliver their presents. The number of kids left the next day
What is 75?
Find the equation of the following graph:
What is y=3x+1?
The least common multiple of eight, twenty-seven, and seventy-two
What is 216?
The smallest angle value that returns the sine value of one half
What is 30 degrees or pi/6 radians?
The volume of a square pyramid toy with a base area of nine centimeters squared and a height of five centimeters
What is 15 cm3?
Santa has 81a9 pieces of coal to distribute equally among a “b3” number of bad children. The number of pieces of coal each child gets if b=3a3, in terms of a
What is 3 pieces of coal?
Find the equation of the following graph:
What is (x+1)2+(y-4)2=16?
The first antiprime (highly composite number) of one hundred greater than one hundred
What is 108?
The sum of the exterior angles of a regular enneadecagon (a polygon with nineteen sides)
What is 360 degrees?
The radius of a sphere with volume 36pi
What is 3?
Santa can deliver five presents on his own, fifteen presents with one reindeer, and forty-five presents with two reindeer. The number of presents that Santa can deliver with four reindeer
What is 165?
Find the equation of the following graph:
What is y=(x+1)3/(x+1)+1?
The number of distinct prime factors of six thousand six hundred ninety-nine
What is 4?
Each interior angle measure of a heptagon (seven-sided heptagon)
What is 128 degrees?
The surface area of a foam container with thickness two centimeters wrapped around a cube with side length four centimeters
What is 384 cm3?
Santa makes a trip of forty miles in twenty minutes with the help of a wind current. On his return trip, against the wind current, he takes fifty minutes. The speed in mph of the wind current
What is 36 mph?
Find the equation of the following graph:
What is 2sqrt(-(x+3))+5?
The largest number less than one thousand that is the sum of two integers squared
What is 997?
A triangle has two legs with lengths of six units and six times the square root of two units. The angles that are opposite to these two legs are thirty degrees and x degrees, respectively. The value of x
What is 45?
The volume of a foam container with thickness two centimeters wrapped around a cube with side length four centimeters
What is 448 cm3?
Four times the square root of a is equal to nine times the cube root of b. logab when a is equal to two thirds
What is 15/2?
Find the equation of the following graph:
What is (x-6)2/36-y2/64=1