Review for Competency Exam on Fractions

 

“Single-step” problems – no partial credit

1. Use < , >, or = to make a true sentence.

    a)

    b)

 

 

2. Graph  on the number line.

 

 

3. Write the fraction that represents the
(a) shaded parts?
(b) unshaded parts?
Treat the circles as two separate circles.

 

 

 

4. Reduce  to lowest terms

 

 

5. Reduce  to lowest terms

 

expressing as a mixed number.

 

 

6. Perform the indicated operations and write answer in lowest terms.

 

 

7. Perform the indicated operations and write answer in lowest terms.

 

 

8. Perform the indicated operations and write answer in lowest terms.

 

 

9. Perform the indicated operations and write answer in lowest terms.

 

 

10. Perform the indicated operations and write answer in lowest terms.

 

 

11. Perform the indicated operations and write answer in lowest terms.

 

 

12. Perform the indicated operations and write answer in lowest terms.

 

 

13. Perform the indicated operations and write answer in lowest terms.
   

 

 

 

14. Perform the indicated operations and write answer in lowest terms.
 

 

 

15. Online you found a recipe for Chili Con Queso.  Its ingredients are:
  1 1/2  lb. Velveeta Cheese
  1 cup favorite Salsa
  1/4 cup Milk
You want to make one-fourth of the recipe.  How much Velveeta Cheese should you use?

 

 

16. An 8-minute egg is cooked for what fraction of an hour? (1 hour = 60 minutes) Write answer in lowest terms.

 

 

17. If a sandwich is cut into 12 equal parts and 2/3 of it is eaten, how many pieces of the sandwich were eaten?

 

 

18. While shopping at the grocery store, Marge noticed that a 24-pack carton of juice had 8 cans missing. What fraction was still in the carton?

 

 

 

“Multi-step” problems – worth 4 points each

21. SHOW WORK.  Perform the indicated operations and write answer in lowest terms.

 

 

 

22. SHOW WORK.  Perform the indicated operations and write answer in lowest terms.

 

 

 

22. SHOW WORK.  Perform the indicated operations and write answer in lowest terms.

 

 

 

 

Answers for Review for Competency Exam on Fractions

 

 “Single-step” problems – no partial credit

1.  a)

    b)

 

 

2.

 

 

3. (a) shaded parts?  1 ˝


(b) unshaded parts? ˝

 

 

 

4. 

 

 

5. 

 

 

6. Answer: 

 

 

7.   

 

 

8.    

 

 

9.    

 

 

10.   

 

 

11.  

 

 

12.    

 

 

13.  

 

 

14.   

 

 

15.    lb.

 

 

16.   2/15

 

 

17.   8 pieces

 

 

18.   2/3

 

 

 

 “Multi-step” problems – worth 4 points each

21. SHOW WORK.  Perform the indicated operations and write answer in lowest terms.

 

Answer:

     

 

 

 

20. SHOW WORK.  Perform the indicated operations and write answer in lowest terms.

 

Answer:

 

 

 

 

22. SHOW WORK.  Perform the indicated operations and write answer in lowest terms.

 

Answer: