Name ______Date______P___

Ms. McDowellChapter 6 Practice TestPre-Algebra

1. The male to female ratio in India is 48 to 52. Write this ratio as a fraction in simplest form.

2. Which of the following are equal ratios?

[A] 4 : 5 and 8 : 10

[B] 2 : 3 and 3 : 2

[C] 5 : 3 and 10 : 9

[D] 1 : 3 and 6 : 2

3. Grace and Jim each bought notebooks for school. Grace got 4 notebooks for $4.80. Jim got 3 notebooks for $3.90. Jim says he got a better deal. Explain whether or not he is correct and how you know.

4. Find the unit rate:

a. 360 miles in 13 hours

b. 3 peaches for $0.99

c. 15 steps in 5 seconds

5. Grete Waitz won the New York Marathon nine times. The rate at which she ran during her last victory in 1988 was 26 mi in 148 min. Find the unit rate for her race.

6. Which pair or pairs of ratios form(s) a proportion?[i] [ii] [iii]

7. A bus travels 80 miles on 4 gallons of gas. How many gallons will it need to travel 340 miles?

8.

The ratio of the corresponding sides of the similar figures is 3 : 2. What is the length of Side A?

9. The actual length of a locust is 5.6 cm. The scale of a drawing of the locust is 3 cm : 1 cm. Find the length of the locust in the drawing, to the nearest tenth of a centimeter.

10. Write 44% as a decimal.

11. Explain how 18%, 0.18 and are related. Do you see a pattern?

12. The outermost layer of the Earth is made up of several elements. It is 45.6% oxygen, 8.4% aluminum, and 4.7% calcium. Express each percent as a fraction and a decimal.

13. Of the 100 students who went on the picnic, 62 had fruit in their lunch boxes. Express the percent of students with fruit as a decimal and as a fraction in simplest form.

14. Write as a percent.

15. Emma has already read 7 of the 20 books on her summer reading list. Express the number of books she has read as a decimal and a percent.

16. In a survey at a supermarket, of the people surveyed said that they shopped more than once a week. What percent of the people is that? What percent shop only once a week or less?

17. 6 is 40% of what number?

18. Explain how you would solve for n.

19. The two tallest buildings in Chicago, Illinois, are the Sears Tower (1,454 ft) and the Amoco building (1,136 ft). How much higher, in percent, is the Sears Tower than the Amoco building?

20. There were 952 fans at a basketball game. If 72% of the fans were rooting for the home team, estimate the number of fans who supported the home team. Explain how you estimated.

21. Mark bought a table for $23.00 and sold it for $30.36. What percent profit did Mark make on the table?

22. What is the percent of change from to 1.6? Round to the nearest percent.

23. In a certain week, the London stock market went down from 1741 to 1588. What was the percent of decrease to the nearest whole percent?

24. What is the percent of change of 250 to 50? Label your answer as an increase or decrease.

25. One store’s ad says that jewelry is on sale for 80% of its normal price. Another store’s ad says that jewelry has been marked down 25%. Explain which ad shows the better sale and why.

26. Azeeb wants a new winter coat that retails for $56.99. It is on sale for 80% of the regular price. She has $49. Explain how to estimate the sale price of the coat. Does she have enough money to buy the coat?

27. A baseball player’s batting average shows the fraction of times at bat the player got a hit. Fill in the missing numbers for the players shown below.Source: National and American Leagues of Professional Baseball Clubs

28. A scale model of the Redwood Forest has a ratio of 1 inch : 40 ft. If the tallest tree was 220 feet tall, how tall would the scale model be?

29. A French franc is equal to 0.1792 of an American dollar. If you were to exchange 175 francs, how many American dollars would you receive?

Reference: [6.1.1.1]

[1]

Reference: [6.1.1.6]

[2] [A]

Reference: [6.1.2.10]

[3] Jim is incorrect. Grace got a better deal. She paid $1.20/notebook while Jim paid $1.30/notebook. The answer can be determined by finding and comparing the unit rate paid by each person.

Reference: [6.1.2.11]

[4] a. 27.7 mi/h; b. $0.33/peach; c. 3 steps/s

Reference: [6.1.2.12]

[5] She ran at 0.18 mi/min.

Reference: [6.2.1.17]

[6] ii and iii

Reference: [6.2.2.20]

[7] 17 gallons

Reference: [6.3.1.25]

[8] 12

Reference: [6.3.2.29]

[9] 16.8 cm

Reference: [6.5.1.43]

[10] 0.44

Reference: [6.5.1.45]

[11] Answers will vary. Sample: A percent can be written as a decimal or a fraction. All three forms are equivalent. The quantity, 18, appears in all three forms.

Reference: [6.5.1.47]

[12] , 0.456, , 0.084, , 0.047

Reference: [6.5.1.48]

[13] 0.62,

Reference: [6.5.2.49]

[14] 40%

Reference: [6.5.2.50]

[15] 0.35, 35%

Reference: [6.5.2.51]

[16] 75%, 25%

Reference: [6.6.2.60]

[17] 15

Reference: [6.6.2.62]

[18] Answers may vary. Sample answer: First, simplify the fraction on the left to find Since

Reference: [6.7.2.71]

[19] 28%

Reference: [6.7.2.72]

[20] Answers will vary depending on estimating technique used. Samples: 720, 666, 684, 665

Reference: [6.8.1.76]

[21] 32%

Reference: [6.8.1.81]

[22] 183%

Reference: [6.8.2.83]

[23] 9%

Reference: [6.8.2.85]

[24] Decrease of 80%

Reference: [6.9.2.93]

[25] Answers will vary. Sample: The second sale is better. The first sale price can be found by multiplying the percent by the original price. The second sale price can be found by multiplying the percent off by the original price and then subtracting the product from the original price. The first ad says that jewelry is 80% of the original price, which means that it has been marked down by 20% . The second ad says that the jewelry has been marked down 25%, which is 75% of the original price.

Reference: [6.9.2.94]

[26] Answers will vary. Sample: Round the price of the coat to $57. Write the percent as a fraction,. Multiply by $57 to get $45.60. The sale price of the coat is $45.60 so Azeeb can afford the coat. (Students might also correctly suggest setting up a model).

Reference: [6.10.1.96]

[27] Row 1: , 34%; Row 2: .330, 33%; Row 3: , .310;

Row 4: , 32%; Row 5: .300, 30%

Reference: [11.4.1.51]

[28] 5.5 inches

Reference: [11.4.1.52]

[29] $31.36