SAT CollegeBoard Practice Test (1-8) Rate

$\def\ii#1#2{\begin{array}{l}\text{#1}\\\text{#2}\end{array}}$ $\def\iii#1#2#3{\begin{array}{l}\text{#1}\\\text{#2}\\\text{#3}\end{array}}$
1. (Test1/Q 22/Calculator)

Which of the following best approximates the average rate of change in the annual budget for agricultare/natural resources in Kansas from 2008 to $2010?$
A) $\$ 50,00,000$ per year
B) \$ 65,000,000 per year
C) $\$ 75,000,000$ per year
D) $130,000,000$ per year





2. (Test1/Q 23/Calculator)

Of the following which program's ratio of its 2007 budget to its 2010 budget is clasest to the Baman recources program's ratio of its 2007 budget to its 2010 budget?
A) Agriculture/natural resoures
B) Education
C) Highways and transportation
D) Public safety





3. (Test2/Q 11/Calculator)

$$\begin{array}{|l|r|} \hline \ii{Number of hours Tony plans}{ to read the novel per day} & 3 \\ \hline \text{Number of parts in the novel }& 8 \\ \hline \text{Number of chapters in the novel} & 239 \\ \hline \ii{Number of words Tony reads}{ per minute} & 250 \\ \hline \text{Number of pages in the novel }& 1,078 \\ \hline \text{Number of words in the novel} & 349,168 \\ \hline \end{array}$$ Tony is planning to read a novel. The table above shows information about the novel, Tony's reading speed, and the amount of time he plans to spend reading the novel each day. If Tony reads at the rates given in the table, which of the following is closest to the number of days it would take Tony to read the entire novel?
A) 6
B) 8
C) 23
D) 324





4. (Test2/Q 31/Calculator)

A coastal geologist estimates that a certain country's beaches are eroding at a rate of $1.5$ feet per year. According to the geologist's estimate, how long will it take, in years, for the country's beaches to erode by 21 feet?


5. (Test3/Q 9/Calculator)

Nate walks 25 meters in $13.7$ seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in 4 minutes?
A) 150 meters
B) 450 meters
C) 700 meters
D) 1,400 meters





6. (Test $4 / \mathrm{Q} 2 /$ Calculator)

One of the requirements for becoming a court reporter is the ability to type 225 words per minute. Donald can currently type 180 words per minute, and believes that with practice he can increase his typing speed by 5 words per minute each month. Which of the following represents the number of words per minute that Donald believes he will be able to type m months from now?
A) $5+180 m$
B) $225+5 m$
C) $180+5 m$
D) $180-5 m$





7. (Test4/Q 31/Calculator)

A partially filled pool contains 600 gallons of water. A hose is turned on, and water flows into the pool at the rate of 8 gallons per minute. How many gallons of water will be in the pool after 70 minutes?


8. (Test5/Q $15 /$ No Calculator)

Alan drives an average of 100 miles each week. His car can travel an average of 25 miles per gallon of gasoline. Alan would like to reduce his weekly expenditure on gasoline by $\$ 5$. Assuming gasoline costs \$4 per gallon, which equation can Alan use to determine how many fewer average miles, $m$, he should drive each week?
A) $\frac{25}{4} m=95$
B) $\frac{25}{4} m=5$
C) $\frac{4}{25} m=95$
D) $\frac{4}{25} m=5$





9. (Test5/Q 37/Calculator)

$$\text{Ms. Simon's Workday Morning Drive}$$ $$\begin{array}{|l|c|c|} \hline \text{Segment of drive} & \text{Distance (miles)} & \iii{Average driving speed}{ with no traffic }{delay (mph)} \\ \hline \ii{From home to }{freeway entrance} & 0.6 & 25 \\ \hline \iii{From freeway }{entrance to}{ freeway exit} & 15.4 & 50 \\ \hline \ii{From freeway exit}{ to workplace} & 1.4 & 35 \\ \hline \end{array}$$ Ms. Simon drives her car from her home to her workplace every workday morning. The table above shows the distance, in miles, and her average driving speed, in miles per hour (mph), when there is no traffic delay, for each segment of her drive. One morning, Ms. Simon drove directly from her home to her workplace in 24 minutes. What was her average speed, in miles per hour, during her drive that morning?


10. (Test5/Q 38/Calculator)

$$\text{Ms. Simon's Workday Morning Drive}$$ $$\begin{array}{|l|c|c|} \hline \text{Segment of drive} & \text{Distance (miles)} & \iii{Average driving speed}{ with no traffic }{delay (mph)} \\ \hline \ii{From home to }{freeway entrance} & 0.6 & 25 \\ \hline \iii{From freeway }{entrance to}{ freeway exit} & 15.4 & 50 \\ \hline \ii{From freeway exit}{ to workplace} & 1.4 & 35 \\ \hline \end{array}$$ Ms. Simon drives her car from her home to her workplace every workday morning. The table above shows the distance, in miles, and her average driving speed, in miles per hour $(\mathrm{mph})$, when there is no traffic delay, for each segment of her drive. If Ms. Simon starts her drive at 6:30 a.m., she can drive at her average driving speed with no traffic delay for each segment of the drive. If she starts her drive at 7:00 a.m., the travel time from the freeway entrance to the freeway exit increases by $33 \%$ due to slower traffic, but the travel time for each of the other two segments of her drive does not change. Based on the table, how many more minutes does Ms. Simon take to arrive at her workplace if she starts her drive at 7:00 a.m. than if she starts her drive at 6:30 a.m? (Round your answer to the nearest minute.)


11. (Test5/Q 3/Calculator)

To make a bakery's signature chocolate muffins, a baker needs $2.5$ ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound $=16$ ounces)
A) $7.5$
B) 10
C) $50.5$
D) 120





12. (Test5/Q $9 /$ Calculator)

In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? ( 1 mile is approximately $1.6$ kilometers.)
A) $1.00$
B) $1.25$
C) $1.50$
D) $1.75$





13. (Test $7 / Q 6 /$ No Calculator)

A company that makes wildlife videos purchases camera equipment for $\$ 32,400$. The equipment depreciates in value at a constant rate for 12 years, after which it is considered to have no monetary value. How much is the camera equipment worth 4 years after it is purchased?
A) $\$ 10,800$
B) $\$ 16,200$
C) $\$ 21,600$
D) $\$ 29,700$





14. (Test7/Q 15/Calculator)

If 50 one-cent coins were stacked on top of each other in a column, the column would be approximately $3 \frac{7}{8}$ inches tall. At this rate, which of the following is closest to the number of one-cent coins it would take to make an 8 -inch-tall column?
A) 75
B) 100
C) 200
D) 390





15. (Test7/Q 18/No Calculator)

The number of radians in a 720 -degree angle can be written as $a \pi$, where $a$ is a constant. What is the value of $a$ ?


16. (Test $7 / Q 3 /$ Calculator)

A certain package requires 3 centimeters of tape to be closed securely. What is the maximum number of packages of this type that can be secured with 6 meters of tape? ( 1 meter $=100 \mathrm{~cm}$ )
A) 100
B) 150
C) 200
D) 300





17. (Test8/Q $1 /$ Calculator)

One pound of grapes costs $\$ 2$. At this rate, how many dollars will $c$ pounds of grapes cost?
A) $2 c$
B) $2+c$
C) $\frac{2}{c}$
D) $\frac{c}{2}$





18. (Test8/Q 3/Calculator)

In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?
A) 150
B) 200
C) 250
D) 300





19. (Test8/Q 34/Calculator)

On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles in 26 minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?


20. (Test8/Q 9/Calculator)

The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces. What is the value of $k$, in centimeters?
A) $2.52$
B) $7.67$
C) 7,79
D) $10.11$





21. (Test8/Q 10/Calculator)

The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces. Water pours into the glass slowly and at a constant rate. Which of the following graphs best illustrates the height of the water level in the glass as it fills?





22. (Test8/Q 11/Calculator)

The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces. Jenny has a pitcher that contains 1 gallon of water. How many times could Jenny completely fill the glass with 1 gallon of water? ( 1 gallon $=128$ fluid ounces)
A) 16
B) 8
C) 4
D) 3





Answer

1 B $\quad$ Explanation
2 B $\quad$ Explanation
3 B $\quad$ Explanation
4 14 $\quad$ Explanation
5 B $\quad$ Explanation
6 C $\quad$ Explanation
7 1160 $\quad$ Explanation
8 D $\quad$ Explanation
9 43.5,43,44 $\quad$ Explanation
10 6 $\quad$ Explanation
11 A $\quad$ Explanation
12 B $\quad$ Explanation
13 C $\quad$ Explanation
14 B $\quad$ Explanation
15 4 $\quad$ Explanation
16 C $\quad$ Explanation
17 A $\quad$ Explanation
18 A $\quad$ Explanation
19 25.4 $\quad$ Explanation
20 D $\quad$ Explanation
21 C $\quad$ Explanation
22 B $\quad$ Explanation

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