Name _________________________

Unit 4 Review

Simplify each ratio. Write your answer in two forms.

  1. 3 to 15

  1. 4 : 8

  1. 10 to 12

Write a rate that compares the quantities described in each problem.

  1. 25 cookies on three trays

 

  1. 24 cans per case

Write a unit rate for each.

  1. How many students per classroom if there are 75 students in three classrooms?

 

  1. How many donuts per box are there if there are 26 donuts in two boxes?

Identify whether or not each pair of ratios form a proportion. Write yes if they do, no if they do not.

 

Use mental math to solve for the unknown value of each proportion.

 

Find the actual dimensions using proportions.

  1. The scale of the drawings shows that 2” equals 5 feet. If the drawing shows the height of the building is 8”, how tall is the building?

  1. The scale of the map shows that 1” equals 15 miles. If the map shows 5 inches between towns, what is the actual distance between them?

Simplify each ratio to find the scale factor.

 

  1.  

Complete the chart.

Ratio

Fraction

Decimal

Percent

25 out of 100

0.25

0.20

45 out of 100

45 %

98 %

Write each fraction as a percent.

20.  

21.  

22.  

Write each decimal as a percent.

23.  0.6

24.  0.37

25.  0.58

Find the percent of each number.

26.  What is 10% of 100?

27.  What is 11% of 40?

28.  35 is what percent of 70?

29.  20 is 75% of what number?

Calculate each new price based on the discount and the original price. Round to the nearest cent if needed.

29.  $19.95 original price discounted 20%

30.  $99.00 original price discounted 15%

31.  $12.50 original price discounted 10%

Calculate the amount paid including sales tax if the sales tax is 5%.  Round to the nearest cent if needed.

32.  If the item costs $85.00, the total is _______________

33.  If the items costs $15.50, the total is ________________

34.  If the item costs $22.00, the total is _______________

Bonus

Your bill at a restaurant was $50.00, sales tax is 10%, and you leave a 20% tip. How much do you leave your waiter?