G4_Ratio, Proportion and Percentages_Mid-Term Exam Review #4

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1 G4_Ratio, Proportion and Percentages_Mid-Term Exam Review #4 Basic Math / FND M020 FA N30FD04-Nap (Prof. Abdon) Student Name/ID: 1. There are books on a shelf. of these books are new. (a)what is the ratio of used books to all books? (b)what is the ratio of used books to new books? 2. Manuel pays for a bag of oranges. Find the unit price in dollars per orange. If necessary, round your answer to the nearest cent. P. 1/12

2 3. A certain brand of coffee comes in two sizes. A -ounce package costs A -ounce package costs Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent. Unit price for the -ounce package: per ounce Unit price for the -ounce package: per ounce The better buy: The -ounce package The -ounce package Neither (They have the same unit price) 4. Ashley made for hours of work. At the same rate, how much would she make for hours of work? 5. (a) Omar bought pounds of sugar for How many pounds of sugar did he get per dollar? (b) It takes pounds of seed to completely plant a -acre field. How many acres can be planted per pound of seed? If necessary, round your answers to the nearest hundredth. P. 2/12

3 6. Solve the following proportion for Round your answer to the nearest tenth. 7. Laura runs miles in minutes. At the same rate, how many miles would she run in minutes? 8. A certain drug is made from only two ingredients: compound A and compound B. There are milliliters of compound A used for every milliliters of compound B. If a chemist wants to make milliliters of the drug, how many milliliters of compound A are needed? 9. A chocolate chip cookie recipe asks for one and one third times as much flour as chocolate chips. If four and two thirds cups of flour is used, what quantity of chocolate chips would then be needed, according to the recipe? 10. Write as a percentage. 11. Write as a fraction. There is no need to simplify your answer. P. 3/12

4 12. The figure below is divided into squares of equal size. What percent of the figure is shaded? 13. Write as a decimal. 14. Write as a percentage. 15. (a)write (b)write as a percentage. as a decimal. 16. Write as a decimal (not as a percentage). P. 4/12

5 17. Follow the instructions below. (a) Rewrite the decimal in the sentence below as a percentage. Percent: The photographer filled of her memory card with animal pictures. (b) Rewrite the percentage in the sentence below as a decimal. Decimal: The value had decreased to of the purchase price. 18. Write as a fraction in simplest form. 19. Write as a fraction in simplest form. 20. Write as a percentage. 21. Rewrite the fraction in the sentence below as a percentage. In a certain class, of the students got problem wrong on Friday's math test. 22. Use a calculator to find of Do not round your answer. 23. Answer the following questions. (a) of is what? (b) of what number is? P. 5/12

6 24. Answer the following questions. (a) of what is? (b) is what percent of? 25. A file that is megabytes is being downloaded. If the download is complete, how many megabytes have been downloaded? Round your answer to the nearest tenth. 26. Justin ran for president of the chess club, and he received votes. There were members in the club. What percentage of the club members voted for Justin? 27. A movie club surveyed high school students. The students were asked how often they go to the movies and whether they prefer action movies or comedies. Their responses are summarized in the following table. Action Comedy Twice a month or less Three times a month or more (a) What percentage of the students prefer comedies? (b) What percentage of the students go to the movies twice a month or less? 28. The sales tax for an item was and it cost before tax. Find the sales tax rate. Write your answer as a percentage. P. 6/12

7 29. An international company has employees in one country. If this represents of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number. 30. A car dealership decreased the price of a certain car by The original price was (a) Fill in the blank to write the new price in terms of the original price. Write your answer as a decimal. New price Original price (b) Use your answer in part (a) to determine the new price. New price: 31. The next model of a sports car will cost less than the current model. The current model costs How much will the price decrease in dollars? What will be the price of the next model? Decrease in price: Price of next model: 32. An item is regularly priced at Justin bought it on sale for off the regular price. Use a calculator to find how much Justin paid. 33. An item is regularly priced at Frank bought it at a discount of off the regular price. How much did Frank pay? P. 7/12

8 34. A bicycle has a listed price of before tax. If the sales tax rate is find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary. 35. The population of a city has increased by since it was last measured. If the current population is what was the previous population? 36. A suit is on sale for off. The sale price is What is the regular price? 37. The price of an item yesterday was Today, the price fell to Find the percentage decrease. 38. The price of a notebook was yesterday. Today, the price fell to Find the percentage decrease. Round your answer to the nearest tenth of a percent. 39. Joe deposits into an account that pays simple interest at a rate of per year. How much interest will he be paid in the first years? P. 8/12

9 40. Suppose that is placed in an account that pays interest compounded each year. Assume that no withdrawals are made from the account. Follow the instructions below. Do not do any rounding. (a) Find the amount in the account at the end of year. (b) Find the amount in the account at the end of years. 41. Tammy deposited into an account with interest, compounded semiannually. Assuming that no withdrawals are made, how much will she have in the account after years? Do not round any intermediate computations, and round your answer to the nearest cent. P. 9/12

10 G4_Ratio, Proportion and Percentages_Mid-Term Exam Review #4 Answers for class Basic Math / FND M020 FA N30FD04-Nap 1. (a) (b) Unit price for the -ounce package: per ounce Unit price for the -ounce package: per ounce The better buy: The -ounce package The -ounce package Neither (They have the same unit price) (a) pounds per dollar (b) acres per pound miles 8. milliliters of compound A 9. cups (a) (b) P. 10/12

11 (a) Rewrite the decimal in the sentence below as a percentage. Percent: The photographer filled of her memory card with animal pictures. (b) Rewrite the percentage in the sentence below as a decimal. Decimal: The value had decreased to of the purchase price Percent notation: (a) of is what? (b) of what number is? 24. (a) of what is? (b) is what percent of? 25. megabytes (a) (b) employees 30. (a) Fill in the blank to write the new price in terms of the original price. Write your answer as a decimal. New price Original price (b) Use your answer in part (a) to determine the new price. New price: P. 11/12

12 31. Decrease in price: Price of next model: Total cost: (a) Find the amount in the account at the end of year. (b) Find the amount in the account at the end of years. 41. P. 12/12

Math Summer Packet Grade 8

2018-2019 Math Summer Packet Grade 8 Name: 7 th Grade Math Teacher: 8 th Grade Math Teacher: Part 1: Multiple Choice Directions: Answer every question. (1) Last week Dino spent $18 to bowl 4 games. This