Try the following problems:  

1.

A soccer team played 25 games and won 17.
a.  What is the ratio of the number of wins to the number of loses?

b.  What is the ratio of the number of games played to the number of games won?

 

 

 

 

2.

In a senior class, there are b boys and g girls.  Express the ratio of the number of boys to the total number in the class.

 

 

3.

Express this ratio in simplest form:

 

 

4.

The Yankees won 125 games, the Red Sox won 97 games, and the Mets won 86 games.  What is the ratio of wins of the Yankees to the Red Sox to the Mets?

 

 

5.

Two numbers are in a ratio of 5 : 3.  Their sum is 80.  Find the largest number.

 

 

6.

Mr. Smith and Mr. Kelly are business partners.  They agreed to divide the profits in the ratio of 3 : 2.  The profit amounted to $24,000.  How much did each person receive?

 

 

7.

The measures of the angles of a triangle are in the ratio of 2 : 3 : 4.  Find the number of degrees in the smallest angle of the triangle.

 

 

8.

Two angles of a triangle are in the ratio of 3 : 5.  The difference of the angles is 30 degrees.  Find the number of degrees in the largest angle in the triangle.

 

 

9.

What is the ratio of the circumference of a circle to its radius?

 

 

10.

The length and width of a rectangle are in the ratio of 5 : 2.  Express in terms of x the perimeter of the rectangle.



 

11.

Hannah took a trip to visit her cousin.  She drove 120 miles to reach her cousin's house and the same distance back home.
    

a.  It took her 1.2 hours to get halfway to her cousin's house.  What was her average speed, in miles per hour, for the first 1.2 hours of her trip?

b.  Hannah's average speed for the remainder of the trip to her cousin's house was 40 miles per hour.  How long, in hours, did it take her to drive the remaining distance?

c.  Traveling home along the same route, Hannah drove at an average rate of 55 miles per hour.  After 2 hours her car broke down.  How many miles was she from home?

Answer
 


 


 
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