2024 SAT Standardized Test Math Practice Paper 16

The 2024 SAT standardized test is a critical assessment for college admissions. The math section covers a wide range of topics. To help students prepare, we’ve created a practice paper. This paper includes various math problems to help students become familiar with the test format and excel in their exam.

 

1.

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The scatterplot above displays the marathon times of the eight members of a running club in relation to their ages and the line of best fit. How many people have times at least fifteen minutes faster than what would be expected based on the line of best fit?

A. One
B. Two
C. Three
D. Four

Correct Answer: C

Answer Explanation:

The 36-year-old runner ran under 3:00:00 when almost 3:30:00 is expected. The 39-year-old runner ran slightly above 3:00:00 when 3:30:00 is expected. The 41-year-old runner ran slightly above 3:00:00 when about 3:45:00 was expected. Therefore, three runners ran at least 15 minutes faster than predicted, which matches (C). If you chose (B), you may have based your choice on the number of runners who ran more than 15 minutes slower than their predicted time.

2. The table below shows the relative investment in alternative energy sources in the United States by type. One column shows the relative investment in 2007 of $75 million total invested in alternative energy. The other column shows the projected relative investment in 2017 given current trends. The total projected investment in alternative energy in 2017 is $254 million.

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Based on the information in the table, if an investment was made in alternative energy in 2007, what is the probability that the money was invested in wind resources?

A. ​\( \frac{1}{25} \)
B. ​\( \frac{3}{10} \)
C. ​\( \frac{2}{5} \)
D. \( \frac{3}{5} \)

Correct Answer: C

Answer Explanation:

According to the table, the relative investment in wind resources in 2007 was 0.40 of the total 1.00. Probability is defined by the number of things that fit the requirements divided by the total number of things. In this case, that would be ​\( \frac{0.40}{1.00} \)​. You don’t need to worry about the actual dollar values, because these numbers both relate to the same total of $75 million. You do, however, need to simplify this fraction. You can multiply it by ​\( \frac{10}{10} \)​to get ​\( \frac{4}{10} \)​, which then reduces to ​\( \frac{2}{5} \)​. You could also divide it on your calculator to get 0.4, and then divide each fraction in the answer choices to see which one is also equal to 0.4. Either way, the correct answer is (C).

3. The table below shows the relative investment in alternative energy sources in the United States by type. One column shows the relative investment in 2007 of $75 million total invested in alternative energy. The other column shows the projected relative investment in 2017 given current trends. The total projected investment in alternative energy in 2017 is $254 million.

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Based on the information in the table, which of the following statements is the most accurate?

A. The value of the 2007 investment in biofuels was approximately $50 million.
B. The portion of total alternative energy investment focused on wind sources is projected to decrease by 8% in 2017.
C. The dollar amount invested in fuel cells in 2007 is projected to double in 2017.
D. The top three types of alternative energy were invested in more equally in 2007 than they are projected to be in 2017.

Correct Answer: B

Answer Explanation:

Examine each answer choice and use Process of Elimination. For (A), the 2007 investment in biofuels was 0.31 out of 1.00, or about one-third of the total, according to the chart. The total that year was $75 million, so the Ballpark value would be about $25 million. The $50 million value in (A) is too high, so eliminate it. Choice (B) refers to percents, but the chart is in “relative” investment. If the 2007 relative investment in wind is 0.40 out of 1.00, it is equivalent to 40% of thetotal. The wind investment in 2017 is projected to be .32 or 32% of the total, which is a decrease of 8%. Check out (C) and (D) just to be certain. For fuel cells, the percent of the total is projected to double, but the total in 2017 is projected to be much higher. So the total dollar amount invested in wind in 2017 will be much more than double the 2007 investment. For (D), the top three energy types-biofuels. wind, and solar-are projected to be more equally invested in for 2017 than they were in 2007, so (D) is the opposite of what the chart shows. Eliminate (C) and (D), and choose (B).

4. Monster Truck Inc. leases a new truck for a down payment of $3,200 plus monthly payments of $380 per month for 36 months. Which of the following functions f represents the total amount paid, in dollars, after m months, where 0 ≤ m ≤ 36 ?

A. f(m) = 380 + 3,200m
B. f(m) = 3,200 + 36m
C. f(m) = 3,200 + 380m
D. f(m) = 10,480 – 380m

Correct Answer: C

Answer Explanation:

Whenever there are variables in the question and in the answers, think Plugging In. If m = 10, then Monster Truck Inc., receives a down payment of $3,200 plus 10 months’ worth of monthly payments. This can be calculated as 3,200 + 10(380) = 3,200 + 3,800 = $7,000. Plug in 10 for m in the answers to see which function equals 7,000. Choice (A) becomes f(m) = 380 + 3,200(10) = 380 + 32,000 = 32,380. Eliminate (A). Choice (B) becomes f(m) = 3,200 + 36(10) = 3,200 + 360 = 3,560. Eliminate (B). Choice (C) becomes f(m) = 3,200 + 380(10) = 3,200 + 3,800 = 7,000. Keep (C), but check (D) just in case it also works. Choice (D) becomes f(m) = 10,480 – 380(10) = 10,480 – 3,800 = 6,680. Eliminate (D). The correct answer is (C).

5. What is the equation of a line that contains the point (6, -5) and has an x-intercept of 3 ?

A. ​\( y=-\frac{5}{3}x+5 \)
B. ​\( y=-\frac{4}{3}x+3 \)
C. ​\( y=-\frac{3}{5}x+3 \)
D.  \( y=\frac{5}{3}x+5 \)

Correct Answer: A

Answer Explanation:

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