Math 18

Question 1:

In the standard (x,y) coordinate plane, point M, with coordinates (3,8), is the midpoint of segment BC, where C has coordinates (8,2). What are the coordinates of B?

Question 2:

What is the greatest integer smaller than √71?

Question 3:

If point M has a non-zero x-coordinate, a non-zero y-coordinate, and the product of the x- and y-coordinates is positive, then point M must be located in which of the 4 quadrants shown?

Question 4:

Cube K has an edge length of 5 inches. Cube J has a cube length triple that of cube K. What is the volume, in inches, of cube J?

Question 5:

If there are 3×10¹⁶ oxygen molecules in a volume of 6×10³ cubic centimeters, what is the average number of oxygen molecules per cubic centimeter?

Question 6:

Which of the following is a rational number?

Question 7:

[Non-Calculator Question] In a certain game, a player can attempt easy or hard levels. A player wins 40 points for completing easy levels and 80 points for completing hard levels. Josh has completed a total of 48 levels, earning 2280 points total. How many hard levels did Josh complete?

Question 8:

[Calculator Question] In the x-y plane, the line determined by the points (3,L) and (L, 75) passes through the origin. Which of the following values could be the value of L?