Ratios and Math Formulas Practice Set

  1. Directions

    Try answering these questions to practice what you have learned about ratios and math formulas. Answers and explanations follow at the end of the chapter.

  2. Basic

    2. If –1 < x < 1, but x is not 0, which has the greater value, |x4| or |x5| ?

    3. The ratio of red to blue to black pens in a box is 3:5:7. If all 75 pens in the box are one of these colors, how many are red?

    4. 17 is what percent of 85?

    5. What is the value of ?

  4. Intermediate

    1. If the average of 6, 3, –2, 5, 11, and x is 5, what is the value of x?

    2. Abdul recently made a 200 mile trip. For the first 30 miles, he traveled at an average speed of 45 miles per hour. His average speed for the next 50 miles was 60 mph. Abdul averaged 50 mph for the final portion of his trip. How long did it take Abdul to complete his journey?

    3. A certain brand and style of shoe was priced at $120. The store owner was concerned that this shoe was not selling well enough, so she decided to mark the list price down by 15%. Sales of the shoe only increased slightly, so the owner offered an additional 10% discount from the sale price at checkout. Sales tax of 8% is added to all purchases. What would a customer have to pay for the shoes with tax added?

    4. Jennifer and Boris are graduate assistants helping a professor grade student tests. Working together, they are able to complete the task in 1 hour and 12 minutes. If Jennifer could have graded the entire batch of tests by herself in 2 hours, how long would it have taken Boris to complete that task by himself?

    5. What is the value of   ?

  6. Advanced

    1. The ratio of x to y is 1:4. If the value of x were increased by 1 without changing the value of y, the ratio of x to y would become 1:3. If z = x + 2y, what is the value of z?

    2. Working together, Kendra, Latasha, and Melanie can complete a certain task in 4 hours. If Kendra alone could complete the task in 8 hours and Latasha could complete the task in half the time it would take Melanie, how long would it take Latasha to complete the task by herself?

    3. In a bag of coins,  are pennies,  are nickels,  are dimes, and there are 5 quarters. If there are no other coins in the bag, what is the total number of coins?

    4. If A:B is 3:7, C:D is 15:11, and B:C is 14:5, what is A:D?

    5. Jack drives a car that was manufactured in Europe, so the fuel economy readout on his dashboard is stated in L/km. If the value shown is 0.095, what is the fuel consumption rate stated in the American convention of miles per gallon? (Note: 5 miles ≈ 8 km and 1 gal ≈ 3.8 L.)