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GACE Middle Grades Math: Operations with Fractions Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1. Jerry is trying to figure out how much pizza remains after his party last night. He finds six whole pizzas, as well as 5/8 of another pizza. If he finds one more slice in the fridge (1/8 of a whole pizza), then how many pizzas does Jerry have?

Question 2 2. What is (7/13) / (3/4)?

Question 3 3. David is applying to adopt some pet mini-dragons. The Main Street Dragon Rescue requires that new pet owners have at least 3 1/2 square feet of yard space per EACH mini-dragon they adopt. If David has 12 1/2 square feet of yard space, then how many mini-dragons will he be allowed to adopt? (Round down to the nearest whole dragon!)

Question 4 4. Solve 33.247 + 15.2

Question 5 5. If 3/5 of people have one pet and 2/3 of those pets are cats, then what fraction of the people have a cat?

Page 2

Question 6 6. Add the fractions. Simplify if necessary.

Question 7 7. Add the fractions. Simplify if necessary.

Question 8 8. What is 3 1/3 + 8 1/2?

Question 9 9. Estimate the answer: 5 3/50 + 4 7/10

Question 10 10. If you earn 50 3/4 dollars on Monday and 75 1/4 dollars on Tuesday, then what is the total amount of money that you earned?

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Question 11 11. Subtract the fractions. Simplify if necessary.

Question 12 12. Scott has 5/6 of a pie that he wants to share equally among four of his friends. Considering that Scott will not have any pie himself, how much of the original pie will each of his friends get?

Question 13 13. Estimate the answer: 6 1/2 + 2 6/13

Question 14 14. Estimate the answer: 8/9 * 4/9

Question 15 15. A recipe calls for 3 3/8 tablespoons of sugar. If you want to make 1/2 the recipe, then how much sugar do you need?

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Question 16 16. Simplify: (3/5)/(5/12 - 1/4)

Question 17 17. Susan purchased 9/10 of a pound of shrimp for a dinner party. Her plan is to serve 1/6 of a pound of shrimp to herself and each guest. Including herself, how many people can Susan serve at her dinner party? (Remember that you can't have a fraction of a person.)

Question 18 18. Simplify: (4/5 + 2/3)/(5/8 - 1/4)

Question 19 19. Estimate the answer: 12/14 - 8/15

Question 20 20. Simplify: (4/x + 3/x)/2

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Question 21 21. If you complete 2/3 of your math homework in the first hour today but only completed 3/8 of the homework yesterday, how much more homework did you complete today than yesterday.

Question 22 22. Solve 1.963 + 2.8 + 0.54 + 13.7

Question 23 23. Stacy planted 5 1/4 rows of peas in her garden; she then decided to plant 2 1/2 more rows. How many rows of peas did Stacy plant?

Question 24 24. Subtract the fractions. Simplify if necessary.

Question 25 25. Susan is making a dress. She buys 3 3/4 yards of fabric. She uses 9/10 of this fabric. How many yards of fabric did she use?

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Question 26 26. If you eat 1/4 of a pie on Tuesday, then 1/3 of what remains on Wednesday, then how much of the original pie did you eat on Wednesday?

Question 27 27. On Saturday, Jessica watched 6 1/4 television shows; on Sunday she watched 4 3/8 more. How many television episodes did Jessica watch?

Question 28 28. If you lay three boards end to end, and the boards have respective lengths of 3 1/2 feet, 5 1/4 feet and 4 2/3 feet, then what is the total length of the boards?

Question 29 29. At a hot wings restaurant, 5/9 of the patrons ordered the Inferno hot wings and 1/8 of those patrons passed out from the intensity of the sauce. What fraction of the patrons passed out?

Question 30 30. Farran purchased a carton of milk. She drank 1/8 of the carton. How much of the carton of milk does Farran have left?

GACE Middle Grades Math: Operations with Fractions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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