PSAT/NMSQT Prep 2022 - Eggert M.D., Strelka A. 2022

How much have you learned?
Ratios, proportions, and percents
Data analysis

Directions: For testlike practice, give yourself 15 ­minutes to complete this question set. Be sure to study the explanations, even for questions you answered correctly. They can be found at the end of this chapter.

22. A certain city has 2,625 businesses and has a ratio of 5:2 of businesses that do not require safety inspections to those that do require safety inspections. Of the businesses that were required to have inspections, 12 percent had safety violations. How many businesses that required inspections did NOT have any safety violations?

A. 90

B.315

C.660

D. 2,310

23. An average consumer car can travel 120 miles per hour under controlled conditions. An average race car can travel 210 miles per hour. How many more miles can the race car travel in 30 seconds than the consumer car?

A.

B.1

C.

D. 45

24. Engine oil often contains zinc, which reduces engine wear. Company A’s oil contains 4 percent zinc and company B’s oil contains 9 percent. Suppose a car uses 8 pints of company B’s oil and a truck uses 6 quarts of company A’s oil. How many times more zinc is in the car’s oil than in the truck’s? (1 quart = 2 pints)

A. 0.34

B.0.67

C.1.5

D. 3

25. When a consignment store gets a used piece of furniture to sell, it researches the original price and then reduces that price by 40 percent to determine the price of the used piece. Every 30 days after that, the price of the used piece is marked down an additional 20 percent until it is sold. The store gets a piece of used furniture on July 15. If the original price of the furniture was $1,050 and it is sold on September 5, what is the final selling price?

A. $258.05

B.$322.56

C.$504.00

D. $630.00

26. An amusement park is building a scale model of an airplane for a three-dimensional ride. The real airplane measures 220 feet from nose to tail. The amusement park plans to make the model airplane 36 feet long. If the wingspan of the real plane is 174 feet, approximately how many feet long should the wingspan on the ride’s model airplane be?

A. 17

B.28

C.35

D. 45

27. Luca is from a country that uses the metric system and is visiting his cousin Drew in the United States, which uses the standard, or English, system. He gives Drew a family recipe for bread. The recipe is for one loaf and calls for 180 milliliters of milk. Drew wants to make five loaves. If 1 U.S. cup equals 236.588 milliliters,

approximately how many cups of milk will Drew need?

A.

B.

C.

D.

28. There are about 3 feet per meter and 1,000 meters per kilometer. Two cities are 1,800,000 feet apart; about how many kilometers apart are the two cities?

29. A professional speedway for Motorsport events wishes to build two new racetracks with the same proportions but different sizes, one for adult races and one for teen races. The racetracks will each have two straightaways, one shorter and one longer



If the adult track has straightaways that are 100 ­meters long and 150 meters long, then what is the length of the longer teen track straightaway if the shorter teen track straightaway is 50 ­meters long?

A. 25

B.50

C.75

D. 100

30. Last year, a farmer had 350 acres planted in corn and 160 acres planted in soybeans. This year, the farmer reduced the acreage planted in corn by 20 percent and reduced the acreage planted in soybeans by 15 percent. By approximately what percent did the farmer reduce the total acreage planted in corn and soybeans?

A. 16.4%

B.16.9%

C.17.5%

D. 18.4%

31. A store starts a sale to attract more customers. Mandy notices in the newspaper that the store has comforters on sale for 40 percent less than the original price. If Mandy pays $89.10 after the discount and a 10 percent sales tax on the discounted price, what is the original price of the comforter?

A. $133

B.$135

C.$139

D. $141