Math Basics
What is 30% of 40% of 50% of 100?
What is 6?
A research lab is conducting a survey. The entire population of interest is 50,000 people, and they decide to randomly select a group of 5,000 of those people to survey, without bias. The measured average is 85. What is the approximate average for the entire population?
What is 85?
If 10(x + 3) - 7(x + 3) = 2x + 6 + 1, what is the value of (x + 3) ?
What is 1?
Line L is defined by the equation y = 4x + 7 - y. Line M is perpendicular to line L. What is the slope of line M?
What is -1/2?
In triangle ABC, angle B is a right angle. If cos(A) = 0.6, what is the value of sin(C)?
What is 0.6?
Simplify: 4(2/3 ÷ 4/3)2 + 4(4)
What is 17?
Set A = {1, 4, 7, 9, 12, 13, 24}. What is the sum of the mean, median, and range of set A?
What is 42?
What is/are the solution(s) to the equation: 2(5x - 6)3 + 5 = 133 ?
What is 2?
An upward facing parabola is defined by f(x) = 3x2 - 12x + 17. What is the minimum value of this function?
What is 5?
A circle has equation (x + 3)2 + (y - 14)2 = 64. What is the area of this circle?
What is 64π ?
The ratio of oxygen to hydrogen atoms in a mixture is 14:19. If there are a total of 495 atoms in the mixture, how many of them are hydrogen?
What is 285?
There are 275 total people at an event. Everyone is assigned to either group A, group B, or group C. If one person is selected at random, the probability of selecting a person from group A is 0.44, and the probability of selecting a person from group B is 0.24. How many people are in group C?
What is 88?
Three less than four times a number is less than seven times that number. What is the smallest integer value that satisfies this inequality?
What is 0?
The function f is defined by f(x) = 1/(2x - 1). What is the domain of the function f(x + 2)?
What is all real numbers except -3/2?
A cylinder has a volume of 32π and a height of 2. What is the circumference of the base of the cylinder?
What is 8π ?
35% of a number x is equal to 21. The value of x then decreases to 48. What was the percent decrease in x?
What is 20%?
A six-sided die is rolled three times. What is the probability that the first roll will be a 2, the second roll will be either a 4 or a 5, and the third roll will be either a 1, 2, or 6? Express your answer as a simplified fraction.
What is 1/36?
What is the negative solution to the absolute value equation 0.2|2x + 7| = 3 ?
What is -11?
The equations y = x2 and y = 4x - k form a system, where k is a constant. If the system has one real solution, what is the value of k?
What is 4?
Let A be the area of an isosceles right triangle with legs of length 2π. Let B be the radian measure of 180 degrees. What is the value of A + B2 ?
What is 3π2 ?
A car drives at a speed of 1.2 miles per minute. What is this rate in meters per second? Round to the nearest whole number. (1 mile = 1609 meters)
What is 32?
The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?
What is 32?
Fully simplify the following: (4x7 / 8x9)-2 .
What is 4x4 ?
A polynomial function has a single root at x = 4, a single root at x = -2, and a double root at x = -3. If this polynomial function is written in the form f(x) = x4 + bx3 + cx2 + dx + e, what is the value of e (the constant term)?
What is -72?
The points (-3, 5) and (7, -7) define a line segment L. What is the distance between the point (-2, 2) and the midpoint of segment L?
What is 5?