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SAT Prep

College Board

SAT Practice Test # 4

Educators


Problem 4

Which choice best connects the sentence with the
previous paragraph?
\begin{equation}
\begin{array}{l}{\text { A) } \text { NO CHANGE }} \\ {\text { B) All three sections of the mural were on display }} \\ {\text { C) The community turned out in large numbers }} \\ {\text { D) Siqueiros was informed of people's reactions }}\end{array}
\end{equation}

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Math Test - Calculator - Problem 1

The monthly membership fee for an online television
and movie service is $\$ 9.80 .$ The cost of viewing
television shows online is included in the
membership fee, but there is an additional fee
of $\$ 1.50$ to rent each movie online. For one month,
Jill's membership and movie rental fees were $\$ 12.80$ .
How many movies did Jill rent online that month?
A) 1
B) 2
C) 3
D) 4

Lily A.
Numerade Educator

Math Test - Calculator - Problem 2

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) $5+180 \mathrm{m}$
B) $225+5 \mathrm{m}$
C) $180+5 \mathrm{m}$
D) $180-5 \mathrm{m}$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 3

If a 3 -pound pizza is sliced in half and each half is
sliced into thirds, what is the weight, in ounces, of
each of the slices? ( 1 pound = 16 ounces)
A) 4
B) 6
C) 8
D) 16

Lily A.
Numerade Educator

Math Test - Calculator - Problem 4

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

Lily A.
Numerade Educator

Math Test - Calculator - Problem 5

The density of an object is equal to the mass of the
object divided by the volume of the object. What is
the volume, in milliliters, of an object with a mass of
24 grams and a density of 3 grams per milliter?
A) 0.125
B) 8
C) 21
D) 72

Lily A.
Numerade Educator

Math Test - Calculator - Problem 6

Last week Raul worked 11 more hours than
Angelica. If they worked a combined total of
59 hours, how many hours did Angelica work last
week?
A) 24
B) 35
C) 40
D) 48

Lily A.
Numerade Educator

Math Test - Calculator - Problem 7

The table above represents the 50 movies that had
the greatest ticket sales in $2012,$ categorized by movie
type and Motion Picture Association of America
(MPAA) rating. What proportion of the movies are
comedies with a $\mathrm{PG}-13$ rating?
A) $\frac{2}{25}$
B) $\frac{9}{50}$
C) $\frac{2}{11}$
D) $\frac{11}{25}$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 8

Line $\ell$ in the $x y$ -plane contains points from each of
Quadrants II, III, and $I V,$ but no points from
Quadrant I. Which of the following must be true?
A) The slope of line $\ell$ is undefined.
B) The slope of line $\ell$ is zero.
C) The slope of line $\ell$ is positive.
D) The slope of line $\ell$ is negative.

Lily A.
Numerade Educator

Math Test - Calculator - Problem 9

The table above shows the number of registered voters in 2012 , in thour geographic regions and five age
groups. Based on the table, if a registered voter who was 18 to 44 years old in 2012 is chosen at random, which of the
following is closest to the probability that the registered voter was from the Midwest region?
A) 0.10
B) 0.25
C) 0.40
D) 0.75

Lily A.
Numerade Educator

Math Test - Calculator - Problem 10

A curator at a wildlife society created the scatterplot
above to examine the relationship between the gestation
period and life expectancy of 10 species of animals.
What is the life expectancy, in years, of the animal
that has the longest gestation period?
A $) \quad 3$
B) 4
C) 8
D) 10

Lily A.
Numerade Educator

Math Test - Calculator - Problem 11

Of the labeled points, which represents the animal
for which the ratio of life expectancy to gestation
period is greatest?
A) A
B) B
C) C
D) D

Lily A.
Numerade Educator

Math Test - Calculator - Problem 12

In the $x y$ -plane, the graph of function $f$ has
$x$ -intercepts at $-3,-1,$ and $1 .$ Which of the
following could define $f ?$
A) $f(x)=(x-3)(x-1)(x+1)$
B) $f(x)=(x-3)(x-1)^{2}$
C) $f(x)=(x-1)(x+1)(x+3)$
D) $f(x)=(x+1)^{2}(x+3)$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 13

The population of mosquitoes in a swamp is
estimated over the course of twenty weeks, as shown
in the table.
Which of the following best describes the
relationship between time and the estimated
population of mosquitoes during the twenty weeks?
A) Increasing linear
B) Decreasing linear
C) Exponential growth
D) Exponential decay

Lily A.
Numerade Educator

Math Test - Calculator - Problem 14

$$1,000\left(1+\frac{r}{1,200}\right)^{12}$$
The expression above gives the amount of money, in
dollars, generated in a year by a $\$ 1,000$ deposit in a
bank account that pays an annual interest rate of $r \%,$
compounded monthly. Which of the following
expressions shows how much aditional money is
generated at an interest rate of 5$\%$ than at an interest
rate of 3$\% ?$
A) $$1,000\left(1+\frac{5-3}{1,200}\right)^{12}$$
B) $$1,000\left(1+\frac{\frac{5}{3}}{1,200}\right)^{12}$$
C) $$\frac{1,000\left(1+\frac{5}{1,200}\right)^{12}}{1,000\left(1+\frac{3}{1,200}\right)^{12}}$$
D) $$1,000\left(1+\frac{5}{1,200}\right)^{12}-1,000\left(1+\frac{3}{1,200}\right)^{12}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 15

Which of the following scatterplots shows a
relationship that is appropriately modeled with the
equation $y=a x^{b},$ where $a$ is positive and $b$ is
negative?

Lily A.
Numerade Educator

Math Test - Calculator - Problem 16

Mr. Martinson is building a concrete patio in his
backyard and deciding where to buy the materials and
rent the tools needed for the project. The table below
shows the materials' cost and daily rental costs for three
different stores.
The total cost, $y,$ for buying the materials and renting the
tools in terms of the number of days, $x,$ is given by
$y=M+(W+K) x$
For what number of days, $x,$ will the total cost of
buying the materials and renting the tools from
Store B be less than or equal to the total cost of
buying the materials and renting the tools from
Store $A$ ?
A $) x \leq 6$
B) $x \geq 6$
C) $x \leq 7.3$
D) $x \geq 7.3$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 17

If the relationship between the total cost, $y,$ of buying
the materials and renting the tools at Store $\mathrm{C}$ and the
number of days, $x$ , for which the tools are rented is
graphed in the $x y-$ plane, what does the slope of the
line represent?
A) The total cost of the project
B) The total cost of the materials
C) The total daily cost of the project
D) The total daily rental costs of the tools

Lily A.
Numerade Educator

Math Test - Calculator - Problem 18

Jim has identical drinking glasses each in the shape of
a right circular cylinder with internal diameter of
3 inches. He pours milk from a gallon jug into each
glass until it is full. If the height of milk in each glass
is about 6 inches, what is the largest number of full
milk glasses that he can pour from one gallon of
milk? (Note: There are 231 cubic inches in 1 gallon.)
A) 2
B) 4
C) 5
D) 6

Lily A.
Numerade Educator

Math Test - Calculator - Problem 19

If $3 p-2 \geq 1,$ what is the least possible value of
$3 p+2 ?$
A) 5
B) 3
C) 2
D) 1

Lily A.
Numerade Educator

Math Test - Calculator - Problem 20

The mass of living organisms in a lake is defined to
be the biomass of the lake. If the biomass in a lake
doubles each year, which of the following graphs
could model the biomass in the lake as a function of
time? (Note: In each graph below, O represents
$(0,0) .$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 21

The bar graph above shows renewable energy
consumption in quadrillions of British thermal units
(Btu) in the United States, by energy source, for several
energy sources in the years 2000 and $2010 .$
In a scatterplot of this data, where renewable energy
consumption in the year 2000 is plotted along the
$x$ -axis and renewable energy consumption in the year
2010 is plotted along the $y$ -axis for each of the given
energy sources, how many data points would be
above the line $y=x$ ?
A) 1
B) 2
C) 3
D) 4

Lily A.
Numerade Educator

Math Test - Calculator - Problem 22

Of the following, which best approximates the
percent decrease in consumption of wood power in
the United States from 2000 to 2010$?$
A) 6$\%$
B) 11$\%$
C) 21$\%$
D) 26$\%$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 23

The tables below give the distribution of high
temperatures in degrees Fahribution of for City $\mathrm{A}$
and City $\mathrm{B}$ over the same 21 days in March.
Which of the following is true about the data shown
for these 21 days?
A) The standard deviation of temperatures in
City $\mathrm{A}$ is larger.
B) The standard deviation of temperatures in
City B is larger.
C) The standard deviation of temperatures in these
D) The standard deviation of temperatures in these
cities cannot be calculated with the data
$\quad$ provided.

Lily A.
Numerade Educator

Math Test - Calculator - Problem 24

In the circle above, segment $A B$ is a diameter. If the
length of arc $\overrightarrow{A D B}$ is $8 \pi,$ what is the length of the
radius of the circle?
A) 2
B) 4
C) 8
D) 16

Lily A.
Numerade Educator
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