Math Practice Set 1

  1. Jeff makes $5.00 every day from which he must spend $3.00 for various expenses. Pete makes $10.00 per day but has to spend $7.00 on expenses. If the two of them save together, how long will it take before they can buy a car for $150.00?
  2. Two cities are 800 miles apart. At 3:00 p.m., Plane A leaves to one city travelling to the other at 600 mph. At 4:00, plane B leaves at 800 mph. How long after A leaves do they meet?
  3. A 30% solution of barium chloride is mixed with 10 grams of water to form a 20% solution. How many grams of the original solution did we start with?
  4. Allenstown and Bayestown are 400 miles apart. The train from Allenstwon leaves and heads toward the train from Bayestown at 50 mph. How long will it take until they meet if the train from Bayestown travels at 30 mph?
  5. Sue and Joe leave the store at the same time. Joe drives for 90 minutes and goes 60 miles. If Sue drives twice as fast as Joe, how long will it take her to go 100 miles?
  6. Robert has 12 coins that total $1.45 in value. No coin is larger than a quarter. Which of the following cannot be the number of quarters he has?
    1. 1
    2.  2
    3.  3
    4.  4
    5.  5
  7. Robert can seal 40 envelopes in a minute. Paul can do the same in 60 seconds. How many minutes will it take them to seal 350 envelopes if they are working together?
  8. Ten pints of a 15% salt solution are mixed with 15 pints of a 10% salt solution. What is the concentration of the resulting solution in terms of its salt concentration?
  9. At $2.50 per square yard, how much does it cost to cover a rectangular floor that is 18 feet by 24 feet if there are three feet in a yard?
  10. Walt can paint 25 feet of fence in an hour. Joe can paint 35 feet in an hour. How many minutes will it take them to paint a 150 foot fence if they work together
  11. Stanley puts $100 in the bank for two years at 5% interest compounded annually. At the end of two years, what is his balance?
  12. If the area of the base of a rectangular solid is tripled, what is the percent increase in volume?
  13. If the diagonal of a square is 16 inches long, what is the area of the square?
  14. The volume of a sphere equals the volume of a cylinder. I the radius of the sphere is 4 miles and the radius of the cylinder is 8 miles, what is the height of the cylinder?
  15. A circular garden is 20 feet in diameter and is surrounded by a path 3 feet wide. What is the area of the path?
    1.  9π square feet
    2.  51π square feet
    3.  60π square feet
    4.  69π square feet
    5.  90π square feet
  16. If the volume of a cube is 27 cubic meters, what is the surface area?