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SAT考试备考数学题目24.Ratios, rates and proportions

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LEVEL 3 1.

Energy expenditure

rate Oxygen consumption

rate

Fat burning rate

௞௃௛

௞௃௛

Playing tennis Playing squash

1,594 2,726 77 ௛

130

49

r

The table above lists average expenditure rates of playing tennis vs. playing squash based on a body weight of 55 kilograms. The ratio of each value in the tennis column to the corresponding value in the squash column is about the same throughout the table. Which of the following is closest to the fat burning rate r of squash? A. 27 B. 29 C. 83 D. 85

௛௛௚௛௚௛௚௚

Correct answer: C

2. Lea’s car travels an average of 30 miles per gallon of gas. If she spent $20.70 on gas for a 172.5 mile trip, what was the approximate cost of gas in dollars per gallon?

A. $1.45 per gallon

B. $3.40 per gallon C. $3.60 per gallon D. $5.75 per gallon

Correct answer: C

3. Kavitha and Andrei are truck drivers for the Delightful Delivery Company,

which services cities W, T, and Q.

The distance from city W to city T is 48.5 miles. The distance from city T to city Q is 20 miles. The distance from city Q to city W is 36 miles.

If Kavitha's truck and Andrei's truck travel at the same speed, and it takes Andrei 91 minutes to go from city W to city T, about how much time will it take Kavitha to travel from city W to city Q?

A. 19 minutes B. 38 minutes C. 68 minutes D. 123 minutes

Correct answer: C

4. Yasemin is using a sugar cookie recipe with a flour to sugar ratio of 11:6. To make one batch of cookies, 2.75 cups of flour are needed. If Yasemin would like to triple the recipe, which of the following best approximates how much sugar she will need?

A. 1.5 cups B. 4.5 cups C. 5 cups D. 15 cups

Correct answer: B

5. A certain high school geometry class is made up of freshmen and sophomores. The ratio of freshmen to sophomores in that class is 3:4. If there

are 12 sophomores in the class, what is the total number of students in the class? A. 9 B. 16 C. 21 D. 28

Correct answer: C

LEVEL 4

1. The musical interval between two sounds is called an \"octave\" if the ratio of the sounds' frequencies is 2:1. The following table shows the names of the musical intervals between two sounds based on the ratios of the two sounds' frequencies. Name of the musical interval Major third Perfect fourth Perfect fifth Major sixth

Ratio of two sound frequencies 4:5 3:4 2:3 3:5

If a sound is played with a frequency of 480 Hz, and a second sound is played with a frequency of 800 Hz, what is the name of the musical interval between the two sounds?

A. Major third B. Perfect fourth C. Perfect fifth D. Major sixth

Correct answer: D

2. The \"maximum occupancy\" of a room is the total number of people who can be in a room without causing a fire hazard. In a large room, a Fire Safety Code states that the maximum occupancy is 1 person for every 7 square feet (fݐଶ). A college is hosting a concert in a hall that is 14,721 fݐଶ, and 1,000 people are expected to attend. According to the Fire Safety Code, approximately how many more people can attend the concert without causing a fire hazard?

A. 900 people B. 1,000 people

C. 1,100 people D. 2,100 people

Correct answer: C

3. A donut company makes cream-filled donuts using cup (c) of dough and ସଵ

ଵଶ

tablespoon (tbsp) of cream per donut. The company decides to change their recipe to use 3 times the amount of cream for their \"New Triple-Stuffed Donuts!\" If the donut company's new recipe uses the same amount of dough per donut, what is the ratio of dough to cream needed to make 12 triple-stuffed donuts? A. 1 c:3 tbsp B. 1 c:6 tbsp C. 2 c:3 tbsp D. 1 c:2 tbsp

Correct answer: B

4. A marine aquarium has a small tank and a large tank, each containing only red and blue fish. In each tank, the ratio of red fish to blue fish is 3 to 4. The ratio of fish in the large tank to fish in the small tank is 46 to 5. What is the ratio of blue fish in the small tank to red fish in the large tank?

A. 15:184 B. 10:69 C. 69:10 D. 184:15

Correct answer: B

5. Two leading brands of paper towels are on sale. Brand A has 6 rolls, each with 56 sheets, for $4.29. Brand B has 8 rolls, each with 48 sheets, for $5.99. Which of the following best describes the relationship between the cost per sheet of the two brands?

A. The two brands cost the same amount per sheet. B. Brand B costs $0.003 more per sheet than Brand A. C. Brand A costs $0.003 more per sheet than Brand B. D. Brand B costs $0.03 more than Brand A.

Correct answer: B

LEVEL 2

1. Zhang Lei spent $20.00 during his last outing at the bowling alley. This included a one time shoe rental fee of $3.50. He spent the rest of the money on bowling a number of games. If it took Zhang Lei 45 minutes to bowl each game and he spent 2 hours and 15 minutes bowling, how much did it cost per game? A. $3.00 B. $5.50 C. $6.67 D. $7.34

Correct answer: B Level:2

2. Mr. Bumble delivers newspapers to his community every week. His route takes 3 hours to complete. During the first 2 weeks of delivering newspapers, he traveled a total of 100 blocks. Mr. Bumble delivers newspapers for 50 weeks each year. How many blocks does Mr. Bumble travel delivering newspapers in 1 year?

A. 1 block B. 4 blocks C. 50 blocks D. 2,500 blocks

Correct answer: D

3. During a timed test, Alexander typed 742 words in 14 minutes. Assuming Alexander works at this rate for the next hour, which of the following best approximates the number of words he would type in that hour?

A. 53 B. 840 C. 3180 D. 44,520 Correct answer: C 4. A quilter wants to make the design shown above using the Golden Ratio. Specifically, he wants the ratio of the triangle heights A:B and B:C to each equal 1.62. If the quilter makes the triangle height A=8 in, approximately how tall should he make triangle height C? A. 3 in B. 4 in C. 5 in D. 6 in Correct answer: A 5. Elena is conducting a study about the effects of toxins in the water on the hormones of fish. Elena surveys 350 male fish in a river and finds that 150 of the male fish have egg cells growing inside them. According to Elena's survey, what is the ratio of male fish with egg cells to male fish without egg cells in the river? A. 3:4 B. 3:7 C. 4:5 D. 4:7

Correct answer: A

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