Algebra
Find the solution to the equation:
2x + 5 = 11
x = 3
What is the area of a right triangle with legs 4 and 6?
12
How many outcomes are there for two dice rolls, if the dice are distinct?
36
What is the remainder when 99999 is divided by 4?
3
He was very sad.
was
x is a real number. Find the minimum of
|x - 3| + |x - 6| + |x + 2|.
8
A large snowman is composed of 3 spheres with radii 1, 2, 3 feet respectively. What is the volume of this snowman, in terms of pi?
48π cubic feet
What is the probability that the sum of two dice rolls is 7?
1/6
What is the smallest prime factor of 91?
7
38
To travel to a location, an airplane takes 60 minutes when opposing the wind and 30 minutes with the same wind. Find how long it takes with no wind.
40 minutes
A square with integer side lengths has an area of no more than 200. What is the maximum perimeter of this square?
56
How many perfect squares are there from 1 to 10000, inclusive?
100
Find the LCM of 16 and 12.
What is the classroom number we are in?
16
Create the largest possible value of the expression by placing in one set of parentheses:
1 + 2 × 3 + 4 × 5 + 6
77
A triangle with side lengths 6, 8, 10 is inscribed within a circle. What is the radius of this circle?
5
What is the expected sum of 4 dice rolls?
14
How many primes are there from 1 to 100?
25
What does red + green = in RGB color?
yellow
Find the sum of the solutions to
x² - 5x + 6
5 (x = {3, 2})
A triangle with area 30 has sides 5, x, x+1. Find x.
12
How many distinct rearrangements are there of the word BASIS?
60
Find the smallest integer x such that:
x ≡ 6 (mod 7)
x ≡ 4 (mod 5)
34
How many discovered elements are there on the periodic table?
118