SAT/ACT Math Practice

  1. Frankie drives 80 miles in 3 hours and another 75 miles in 5 hours. What is the value of his average rate?
  2. The Eagleneck gym has 6 bikes that 9 athletes want to use. At 5pm they randomly select one athlete per bike. If Alan, Bob, Caryn, Darrel, Edgar, and Frank are 6 of the athletes, find the probability that they are all selected.
  3. Verizona offers a cell phone plan that provides 250 free text message. After that, consumers pay $0.05/message. Sprintina  has a plan that charges $0.02/message. At what quantity of messages do Verizona and Sprintina cost the same.
  4. 12x-y=8x+40x+6y=50 Find the value of y-x.
  5. Find the surface area of a sphere with the volume of 27π.