Algebra
Solve for x: 3x+5=2x-7
-12
What is the area, in square feet, of a circle inscribed in a 36 square foot square?
9pi
What is the probability of landing heads on a fair, two sided coin, after more than two flips?
1/4
What is the last digit of 125^125?
5
What is the smallest four digit number multiplied by the smallest number of sides a polygon can have?
3000
Find all real zeroes: 1.5x^2-6x+6
2
A right triangle has side lengths of 4, 8 and 4sqrt3. What is the difference of the two non-right angles?
30
How many unique rearrangements of the letters in LETTERS are there?
1260
Today is Friday, January 26. In which year was the next most recent Friday, January 26?
2018
Find the sum of the 4 term arithmetic series whose first and last terms are 50 and 160, respectively.
420
Find the intersection point of y=5x+2 and y=-2x-5.
(-1,-3)
What is the ratio of the surface area of a cone to the surface area of cylinder, excluding the base(s), both of height 3 and radius 4. Express your answer as a common fraction.
5/6
What is the probability of rolling a 7 or higher with two fair six-sided dice? Express your answer as a common fraction.
7/12
Find all digits where any number with at least two digits ending in that digit in composite
0, 5
Find the smallest number whose digits sum to 15.
69
What is the y-value of the minimum of y=x^2+5x?
-6.25 OR -25/4
How many of the six trig functions are undefined at pi/2 radians?
2
What is the greatest value of n such that n!<1000000 (one million)
9
A perfect number is a number whose factors except for itself sum to the number. For example, the second smallest perfect number is 28 (1+2+4+7+14=28). Which single digit number is the smallest perfect number?
6
In a non leap year, what is the 160th day of the year. Express your answer as the numerical month/day
6/9
Find all roots, real and imaginary, of x^4+1
1, -1, i, -i
Which shapes interior angles sum to twice that of its exterior angles?
hexagon
A roulette wheel has 18 black spaces, 18 red spaces, and 2 green spaces, for a total of 38. What is the numerator of the probability that when the wheel is spun thrice, the ball lands once in black, once in red, and once in green (all outcomes are equally likely), where the denominator is 38^3
3888
What is the largest 6-digit prime number?
999,991
What is: # of ways to rearrange 7 uniquely colored calculators in a line/# of sides in the shape whose interior angles sum to 1800 degrees
420