SAT CollegeBoard Practice Test (1-8) Percent

1. (Test1/Q 13/Calculator)

A group of tenth grade students responded to a survey that asked which math course they were currently enrolled in. The survey data were broken down as shown in the table above. Which of the following categories accounts for approximately 19 percent of all the survey respondents?
A) Females taking Geometry
B) Females taking Algebra II
C) Males taking Geometry
D) Males taking Algebra I



2. (Test1/Q 26/Calculator)

Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina's observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?
A) 115
B) 120
C) 124
D) 173



3. (Test2/Q $17 /$ Calculator)

The atomic weight of an unknown element, in atomic mass units (amu), is approximately $20 \%$ less than that of calcium. The atomic weight of calcium is 40 amu. Which of the following best approximates the atomic weight, in amu, of the unknown element?
A) 8
B) 20
C) 32
D) 48



4. (Test $3 / Q 5 /$ Calculator)

At Lincoln High School, approximately 7 percent of enrolled juniors and 5 percent of enrolled seniors were inducted into the National Honor Society last year. If there were 562 juniors and 602 seniors enrolled at Lincoln High School last year, which of the following is closest to the total number of juniors and seniors at Lincoln High School last year who were inducted into the National Honor Society?
A) 140
B) 69
C) 39
D) 30



5. (Test $3 / \mathrm{Q} 27 /$ Calculator)

A rectangle was altered by increasing its length by 10 percent and decreasing its width by $p$ percent. If these alterations decreased the area of the rectangle by 12 percent, what is the value of $p$ ?
A) 12
B) 15
C) 20
D) 22



6. (Test $4 / Q 4 /$ Calculator)

Nick surveyed a random sample of the freshman class of his high school to determine whether the Fall Festival should be held in October or November, Of the 90 students surveyed, 25.6\% preferred October. Based on this information, about how many students in the entire 225-person class would be expected to prefer having the Fall Festival in October?
A) 50
B) 60
C) 75
D) 80



7. (Test $4 / \mathrm{Q} 37 /$ Calculator)

The stock price of one share in a certain company is worth $\$ 360$ today. A stock analyst believes that the stock will lose 28 percent of its value each week for the next three weeks. The analyst uses the equation $V=360(r)^{t}$ to model the value, $V$, of the stock after $t$ weeks. What value should the analyst use for $r$ ?




8. (Test4/Q 38/Calculator)

The stock price of one share in a certain company is worth $\$ 360$ today. A stock analyst believes that the stock will lose 28 percent of its value each week for the next three weeks. The analyst uses the equation $V=360(r)^{t}$ to model the value, $V$, of the stock after $t$ weeks. To the nearest dollar, what does the analyst believe the value of the stock will be at the end of three weeks? (Note: Disregard the $\$$ sign when gridding your answer.)




9. (Test5/Q 22/Calculator)

In State X, Mr. Camp's eighth-grade class consisting of 26 students was surveyed and $34.6$ percent of the students reported that they had at least two siblings. The average eighth-grade class size in the state is 26 . If the students in Mr. Camp's class are representative of students in the state's eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth-grade students in the state who have fewer than two siblings?
A) 16,200
B) 23,400
C) 30,600
D) 46,800



10. (Test5/Q $23 /$ Calculator)

$$\text{ Townsend Realty Group Investments } \\ \begin{array}{|l|c|c|} \hline \text{Property address }& \text{Purchase price (dollars)} & \text{Monthly rental price (dollars)} \\ \hline \text{Clearwater Lane} & 128,000 & 950 \\ \hline \text{Driftwood Drive }& 176,000 & 1,310 \\ \hline \text{Edgemont Street }& 70,000 & 515 \\ \hline \text{Glenview Street }& 140,000 & 1,040 \\ \hline \text{Hamilton Circle }& 450,000 & 3,365 \\ \hline \end{array} $$ The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations. The relationship between the monthly rental price $r_{\text {o }}$ in dollars, and the property's purchase price $p$, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?
A) $r(p)=2.5 p-870$
B) $r(p)=5 p+165$
C) $r(p)=6.5 p+440$
D) $r(p)=7.5 p-10$



11. (Test5/Q 24/Calculator)

$$\begin{array}{|c|}\hline \text{ Townsend Realty Group Investments } \\ \begin{array}{|l|c|c|} \hline \text{Property address} & \text{Purchase price (dollars)} & \text{Monthly rental price (dollars)} \\ \hline \text{Clearwater Lane }& 128,000 & 950 \\ \hline \text{Driftwood Drive} & 176,000 & 1,310 \\ \hline \text{Edgemont Street} & 70,000 & 515 \\ \hline \text{Glenview Street} & 140,000 & 1,040 \\ \hline \text{Hamilton Circle} & 450,000 & 3,365 \\ \hline \end{array}\\ \hline\end{array}$$ The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations. Townsend Realty purchased the Glenview Street property and received a $40 \%$ discount off the original price along with an additional $20 \%$ off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?
A) $\$ 350,000$
B) $\$ 291,700$
C) $\$ 233,300$
D) $\$ 175,000$



12. (Test6/Q 2/No Calculator)

A gardener buys two kinds of fertilizer. Fertilizer A contains $60 \%$ filler materials by weight and Fertilizer B contains $40 \%$ filler materials by weight. Together, the fertilizers bought by the gardener contain a total of 240 pounds of filler materials. Which equation models this relationship, where $x$ is the number of pounds of Fertilizer $A$ and $y$ is the number of pounds of Fertilizer B?
A) $0.4 x+0.6 y=240$
B) $0.6 x+0.4 y=240$
C) $40 x+60 y=240$
D) $60 x+40 y=240$



13. (Test6/Q 19/No Calculator)

How many liters of a $25 \%$ saline solution must be added to 3 liters of a $10 \%$ saline solution to obtain a $15 \%$ saline solution?




14. (Test $6 / \mathrm{Q} 24 /$ Calculator)

A customer's monthly water bill was $\$ 75.74$. Due to a rate increase, her monthly bill is now $\$ 79.86$. To the nearest tenth of a percent, by what percent did the amount of the customer's water bill increase?
A) $4.1 \%$
B) $5.1 \%$
C) $5.2 \%$
D) $5.4 \%$



15. (Test6/Q 38/Calculator)

A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, $15 \%$ are parents of students, $45 \%$ are teachers from the current high school, 25\% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?




16. (Test7/Q 4/Calculator)

A market researcher selected 200 people at random from a group of people who indicated that they liked a certain book. The 200 people were shown a movie based on the book and then asked whether they liked or disliked the movie. Of those surveyed, $95 \%$ said they disliked the movie. Which of the following inferences can appropriately be drawn from this survey result?
A) At least $95 \%$ of people who go see movies will dislike this movie.
B) At least $95 \%$ of people who read books will dislike this movie.
C) Most people who dislike this book will like this movie.
D) Most people who like this book will dislike this movie.



17. (Test7/Q 12/Calculator)

A customer paid $\$ 53.00$ for a jacket after a 6 percent sales tax was added. What was the price of the jacket before the sales tax was added?
A) $\$ 47.60$
B) $\$ 50.00$
C) $\$ 52.60$
D) $\$ 52.84$



18. (Test $7 / \mathrm{Q} 30 /$ Calculator)

$$\begin{array}{c|c} \text{Year} & \text{Subscriptions sold} \\ \hline 2012 & 5,600 \\ 2013 & 5,880 \end{array} $$ The manager of an online news service received the report above on the number of subscriptions sold by the service. The manager estimated that the percent increase from 2012 to 2013 would be double the percent increase from 2013 to 2014 . How many subscriptions did the manager expect would be sold in 2014 ?
A) 6,020
B) 6,027
C) 6,440
D) 6,468



Answer

1 C $\quad$ Explanation
2 B $\quad$ Explanation
3 C $\quad$ Explanation
4 B $\quad$ Explanation
5 C $\quad$ Explanation
6 B $\quad$ Explanation
7 0.72 $\quad$ Explanation
8 134 $\quad$ Explanation
9 C $\quad$ Explanation
10 D $\quad$ Explanation
11 B $\quad$ Explanation
12 B $\quad$ Explanation
13 1.5 $\quad$ Explanation
14 D $\quad$ Explanation
15 8 $\quad$ Explanation
16 D $\quad$ Explanation
17 B $\quad$ Explanation
18 B $\quad$ Explanation

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