2024 SAT Standardized Test Math Practice Paper 3

6. Priya is planning to send her favorite dry rub recipe to a friend who lives in France. Before sending the recipe, Priya wants to convert the American customary units in the instructions into metric units so that her friend will easily be able to understand the measurements. If the recipe calls for a ratio of four ounces of paprika to every seven ounces of chili powder, and if Priya’s friend is planning to make a large batch of dry rub with 91 total ounces of chili powder, approximately how many total grams of paprika and chili powder will the recipe require? (1 ounce = 28.3 grams)

A. 4,047 grams
B. 4,521 grams
C. 4,925 grams
D. 5,149 grams

Correct Answer: A

Answer Explanation:

In order to answer this question, you need to deal with the ratio as well as the unit conversion. For the large batch of dry rub, Priya’s friend is planning to use 91 ounces of chili powder. Since the paprika and the chili powder must be used in a ratio of 4 to 7, you can set up a proportion to determine how much paprika is needed: ​ \frac{4}{7}=\frac{x}{91} ​ . Cross-multiply and solve for x to determine that x (i.e., paprika) = 52 ounces. So you have 52 ounces of paprika and 91 ouncesof chili powder for a total of 143 ounces. Multiply that by your conversion number, 28.3, to determine that this is equivalent to 4,046.9 grams, which is closest to (A).

7. Luciano measured the amount of water that evaporated over a period of time from a container holding w ounces of water, where w is greater than 12. By the end of the first day, the cup had lost 2 ounces of water. By the end of the 7th day, the cup had lost an additional 8 ounces of water. By the end of the 11th day, the cup had lost half of the water that remained after the 7th day. Which of the following represents the remaining amount of water, in ounces, in Luciano’s container at the end of the 11th day?

Math sat math 2 1

Correct Answer: D

Answer Explanation:

Math sat s 2.

8. In the 1990s, the park rangers at Yellowstone National Park implemented a program aimed at increasing the dwindling coyote population in Montana. Results of studies of the coyote population in the park are shown in the scatterplot below.

Math sat 2 3

Based on the line of best fit in the scatterplot above, which of the following is the closest to the average annual increase in coyotes in Yellowstone Park between 1995 and 2000 ?

A. 22
B. 24
C. 26
D. 28

Correct Answer: B

Answer Explanation:

According to the line of best fit, in 1995 there were 20 coyotes in the park. In 2000, there were 140 coyotes in the park. This is an increase of 120 coyotes over a period of 5 years, so ​ \frac{120}{5} ​= an average increase of 24 coyotes per year, which is (B)..

9. In the 1990s, the park rangers at Yellowstone National Park implemented a program aimed at increasing the dwindling coyote population in Montana. Results of studies of the coyote population in the park are shown in the scatterplot below.

Math sat 2 4

According to the data in the scatterplot, which of the following best represents the percent increase between the median of the results of the studies from 1995 and the median of the results of the studies from 1996 ?

A. 50%
B. 100%
C. 150%
D. 200%

Correct Answer: D

Answer Explanation:

The median number of coyotes in the park in 1995 was 20, and the median number of coyotes in the park in 1996 was 60. (Be careful to RTFQ: the question wants median, NOT line of best fit!) In order to calculate the percent increase, it is necessary to use the percent change formula: ​ \frac{diffrence}{original} ​× 100. The calculation here will be \frac{60-20}{20} × 100 = ​ \frac{40}{20} ​× 100 = 2 × 100 = 200%, which is (D).

10. Bailey’s Boutique Clothing is having a 20% off sale during which shirts cost $30.00 and pants cost $60.00. On the day of the sale, Bailey’s sells ​ \frac{2}{3} ​a total of 60 shirts and pants and earned a total of $2,250. On a regular day, Bailey’s sellsthe number of shirts and pants sold during the sale and earns a total of $1,875. Solving which of the following systems of equations yields the number of shirts, s, and the number of pants, p, sold during a regular day?

A. s + p = 40
37.5s + 75p = 1,875
B. s + p = 40
30s + 60p = 2,250
C. s + p = 60
30s + 60p = 2,250
D. s + p = 2,250
30s + 60p = 60

Correct Answer: A

Answer Explanation:

Start with the easier equation and use Process of Elimination. The easier equation is related to the total number of shirts and pants, s + p, sold on a regular day. The question states that on a regular day Bailey’s sells ​ \frac{2}{3} ​the number of pants and shirts sold during a sale. ​ \frac{2}{3} ​(60) = 40. Therefore, one of the equations in the correct answer should be s + p = 40. Eliminate (C) and (D) since neither of these answers include this equation. The other equation is related to themoney Bailey’s earns on a regular day. According to the question, Bailey’s earns a total of $1,875 on a regular day, so the equation must equal $1,875. Eliminate (B) because the total in the money equation is incorrect. The correct answer is (A).

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