Name _________________________

Unit 4 Final Assessment

Simplify each ratio.  Write your answer in fraction form.

  1. 4 to 20

  1. 3 : 9

  1. 10 to 24

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

  1. 6 pies on 3 trays

 

  1. 30 cans per case

Write a unit rate for each.

  1. How many students per classroom if there are 90 students in 3 classrooms?

 

  1. How many donuts per box if there are 32 donuts in 4 boxes?

Identify whether or not each pair of ratios form a proportion. Write yes if the 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 3” equals 4 feet. If the drawing shows the height of the building is 9”, how tall is the building?

  1.   The scale of the map shows that 1” equals 20 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

33 out of 100

0.33

0.76

69 out of 100

69 %

21 %

Write each fraction as a percent.

20.  

21.  

22.  

Write each decimal as a percent.

23.  0.96

24.  0.7

25.  0.52

Find the percent of each number.

26.  What is 10% of 200?

27.  20 is what percent of 80?

28.  40 is 40% of what number?

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

29.  $29.95 original price discounted 20%

30.  $108.00  original price discounted 15%

31.  $34.50 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 $102.00, the total is _______________

33.  If the items costs $25.95, the total is ________________

34.  If the item costs $45.85, the total is _______________

Bonus

Your bill at a restaurant was $40.00, sales tax is 10%, and you leave a 20% tip. How much do you leave your waiter?