2024 SAT Test Math Practice 2

6. Taylor is 6 feet tall. If 1 foot is equal to approximately 0.3 meters, then which of the following is closest to Taylor’s height in meters?

A. 1.8
B. 2
C. 18
D. 20

Correct Answer: A

Answer Explanation:

Set up a proportion:

\[ \frac{1foot}{0.30meters}=\frac{6feet}{xmeters} \]

Cross-multiply to get x = 6 × 0.30 = 1.8 meters. Therefore, the correct answer is (A).

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7.

Math 11 4

The scatterplot above shows the fuel efficiency, in miles per gallon, of a variety of vehicles weighing between 1.5 and 4 tons. Based on the line of best fit to the data represented, which of the following is the closest to the expected miles per gallon of a vehicle that weighs 3 tons?

A. 20
B. 24
C. 27
D. 28

Correct Answer: B

Answer Explanation:

Weight is shown on the horizontal axis of the graph, given in tons. Look for the mark indicating 3 on this axis; then draw a vertical line from that mark to the line of best fit. Once you hit it, draw a horizontal line over to the vertical axis. It should hit between 20 and 25 miles per gallon, slightly closer to the mark for 25. This makes (B) the credited response. Draw your lines carefully, using your answer sheet as a straightedge if necessary, to avoid trap answers like the close-but-not-quite (C).

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8.

Math 11 5

As part of a recent wildlife conservation effort in Guatemala, park rangers in Tikal National Park have tracked the growing number of white-nosed coati living within a certain protected region over the period 1994-2004.

According to the data above, if the population of coati in the protected region of Tikal National Park increased at the same rate from 2004-2006 as it did from 2000-2004, then what was the number of coati in the park in 2006 ?

A. 180
B. 190
C. 200
D. 210

Correct Answer: C

Answer Explanation:

You can see from the graph that from 2000 to 2002, the number of coati increased from 140 to 160. From 2002 to 2004, the number increased from 160 to 180. Therefore, the number of coati is increasing at a rate of 20 every 2 years. In 2006, if the rate of increase remains the same, the number of coati should be 180 + 20 = 200, which is (C).

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9.

\[ \frac{8d+10-d}{3}=\frac{d(3+4)+a}{3} \]

If the equation above has infinitely many solutions for d, what is the value of a ?

A. -10
B. 10
C. 15
D. 20

Correct Answer: B

Answer Explanation:

The question states that there are infinitely many solutions to the equation. That means any real number should work for d. Plug in an easy number like 0 for every d in the equation to get ​\( \frac{0+10-0}{3}=\frac{0+a}{3} \)​. Simplify the equation to ​\( \frac{10}{3}=\frac{a}{3} \)​ = , so a = 10, which is (B).

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10.

Math 11 6

Maggie and Glenn both leave from the same house to go for a jog along a trail. Shortly after leaving, Maggie realizes she forgot her iPod and returns home to find it before heading back out onto the same trail. The graph above shows how far each of them is from home for the first fifteen minutes of their jogs. What is Glenn’s approximate average speed in meters per second for the portion of his jog shown?

A. 3.3
B. 15
C. 200
D. 12000

Correct Answer: A

Answer Explanation:

First, convert the minutes shown in the graph to seconds. Multiply 15 minutes by 60 seconds to get 900 seconds. Then, since speed is distance divided by time, simply divide 3,000 meters by 900 seconds. The answer is 3.3 m/s, which is (A).

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