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SAT Prep

College Board

SAT Practice Test # 1

Educators

JL
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Math Test - Calculator - Problem 1

John runs at different speeds as part of his training
program. The graph shows his target heart rate at
different times during his workout. On which
interval is the target heart rate strictly increasing then
strictly decreasing?
A) Between 0 and 30 minutes
B) Between 40 and 60 minutes
C) Between 50 and 65 minutes
D) Between 70 and 90 minutes

Lily A.
Numerade Educator

Math Test - Calculator - Problem 2

If $y=k x,$ where $k$ is a constant, and $y=24$ when
$x=6,$ what is the value of $y$ when $x=5 ?$
A) 6
B) 15
C) 20
D) 23

Colin C.
Numerade Educator

Math Test - Calculator - Problem 3

In the figure above, lines $\ell$ and $m$ are parallel and
lines $s$ and $t$ are parallel. If the measure of $\angle 1$ is
$35^{\circ},$ what is the measure of $\angle 2$ ?
A) $35^{\circ}$
B) $55^{\circ}$
C) $70^{\circ}$
D) $145^{\circ}$

Kuhu H.
Numerade Educator

Math Test - Calculator - Problem 4

If $16+4 x$ is 10 more than $14,$ what is the
value of 8$x$ ?
$$\begin{array}{l}{\text { A) } 2} \\ {\text { B) } 6} \\ {\text { C) } 16} \\ {\text { D) } 80}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 5

Which of the following graphs best shows a strong
negative association between $d$ and $t ?$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 6

$$\begin{aligned} 1 \text { decagram }=10 \text { grams } \\1,000 \text { milligrams } =1 \text { gram } \end{aligned}$$
A hospital stores one type of medicine in 2 -decagram
containers. Based on the information given in the
box above, how many 1 -milligram doses are there in
one 2 -decagram container?
$$\begin{aligned} \text { A) } & 0.002 \\ \text { B) } & 200 \\ \text { C) } & 2,000 \\ \text { D) } & 20,000 \end{aligned}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 7

The number of rooftops with solar panel installations
in 5 cities is shown in the graph above. If the total
number of installations is $27,500,$ what is an
appropriate label for the vertical axis of the graph?
$$\begin{array}{l}{\text { A) Number of installations (in tens) }} \\ {\text { B) Number of installations (in hundreds) }} \\ {\text { C) Number of installations (in thousands) }} \\ {\text { D) Number of installations (in tens of thousands) }}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 8

For what value of $n$ is $|n-1|+1$ equal to 0$?$
$$\begin{array}{l}{\text { A) } 0} \\ {\text { B) } 1} \\ {\text { C) } 2} \\ {\text { D) There is no such value of } n .}\end{array}$$

Check back soon!

Math Test - Calculator - Problem 9

Which of the following expresses the air temperature
in terms of the speed of a sound wave?
$$\begin{array}{l}{\text { A) } t=\frac{a-1,052}{1.08}} \\ {\text { B) } t=\frac{a+1,052}{1.08}} \\ {\text { C) } t=\frac{1,052-a}{1.08}} \\ {\text { D) } t=\frac{1.08}{a+1,052}}\end{array}$$

Thomas W.
Numerade Educator

Math Test - Calculator - Problem 10

At which of the following air temperatures will the
speed of a sound wave be closest to 1, 000 feet per
second?
$$\begin{array}{l}{\text { A) }-46^{\circ} \mathrm{F}} \\ {\text { B) }-48^{\circ} \mathrm{F}} \\ {\text { C) }-49^{\circ} \mathrm{F}} \\ {\text { D) }-50^{\circ} \mathrm{F}}\end{array}$$

CD
Chris D.
Numerade Educator

Math Test - Calculator - Problem 11

Based on the histogram above, of the following,
which is closest to the average (arithmetic mean)
number of seeds per apple?
$$\begin{array}{l}{\text { A) } 4} \\ {\text { B) } 5} \\ {\text { C) } 6} \\ {\text { D) } 7}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 12

Based on the histogram above, of the following,
which is closest to the average (arithmetic mean)
number of seeds per apple?
$$\begin{array}{l}{\text { A) } 4} \\ {\text { B) } 5} \\ {\text { C) } 6} \\ {\text { D) } 7}\end{array}
$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 13

A group of tenth-grade students responded to a survey that asked which math course 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?
$$\begin{array}{l}{\text { A) Females taking Geometry }} \\ {\text { B) Females taking Algebra II }} \\ {\text { C) Males taking Geometry }} \\ {\text { D) Males taking Algebra I }}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 14

The table above lists the lengths, to the nearest inch,
of a random sample of 21 brown bullhead fish. The
outlier measurement of 24 inches is an error. Of the
mean, median, and range of the values listed, which
will change the most if the 24 -inch measurement is
removed from the data?
$$\begin{array}{l}{\text { A) Mean }} \\ {\text { B) Median }} \\ {\text { C) Range }} \\ {\text { D) They will all change by the same amount. }}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 15

Questions 15 and 16 refer to the following
information.
The graph above displays the total cost $C,$ in dollars, of
renting a boat for $h$ hours.
What does the C-intercept represent in the graph?
$$\begin{array}{l}{\text { A) The initial cost of renting the boat }} \\ {\text { B) The total number of boats rented }} \\ {\text { C) The total number of hours the boat is rented }} \\ {\text { D) The increase in cost to rent the boat for each }} \\ {\text { additional hour }}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 16

Questions 15 and 16 refer to the following information.
Which of the following represents the relationship
between $h$ and $C ?$
$$\begin{array}{l}{\text { A) } C=5 h} \\ {\text { B) } C=\frac{3}{4} h+5} \\ {\text { C) } C=3 h+5} \\ {\text { D) } h=3 C}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 17

The complete graph of the function $f$ is shown in the
$x y$ -plane above. For what value of $x$ is the value of
$f(x)$ at its minimum?
$$\begin{array}{l}{\text { A) }-5} \\ {\text { B) }-3} \\ {\text { C) }-2} \\ {\text { D) } 3}\end{array}
$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 18

$$\begin{array}{l}{y<-x+a} \\ {y>x+b}\end{array}$$
In the $x y$ -plane, if $(0,0)$ is a solution to the system of
inequalities above, which of the following
relationships between $a$ and $b$ must be true?
$$\begin{array}{l}{\text { A) } a>b} \\ {\text { B) } b>a} \\ {\text { C) }|a|>|b|} \\ {\text { D) } a=-b}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 19

A food truck sells salads for $\$ 6.50$ each and drinks for
$\$ 2.00$ each. The food truck's revenue from selling a
total of 209 salads and drinks in one day was
$\$ 836.50 .$ How many salads were sold that day?
$$\begin{array}{ll}{A )} & {77} \\ {\text { B) }} & {93} \\ {\text { C) }} & {99} \\ {\text { D) }} & {105}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 20

Alma bought a laptop computer at a store that gave a
20 percent discount off its original price. The total
amount she paid to the cashier was $p$ dollars,
including an 8 percent sales tax on the discounted
price. Which of the following represents the original
price of the computer in terms of $p ?$
$$\begin{array}{l}{\text { A) } 0.88 p} \\ {\text { B) } \frac{p}{0.88}} \\ {\text { C) }(0.8)(1.08) p} \\ {\text { D) } \frac{p}{(0.8)(1.08)}}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 21

The data in the table above were produced by a sleep
researcher studying the number of dreams people
recall when asked to record their dreams for one
week. Group X consisted of 100 people who observed early bedtimes, and Group Y consisted of 100 people who observed later bedtimes. If a person
is chosen at random from those who recalled
at least 1 dream, what is the probability that the
person belonged to Group Y?
$$\begin{array}{l}{\text { A) } \frac{68}{100}} \\ {\text { B) } \frac{79}{100}} \\ {\text { C) } \frac{79}{164}} \\ {\text { D) } \frac{164}{200}}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 22

Which of the following best approximates the
average rate of change in the annual budget for
agriculture/natural resources in Kansas from 2008 to
2010$?$
$$\begin{array}{ll}{\text { A) }} { 50,000,000 \text { per year }} \\ {\text { B) }} { 65,000,000 \text { per year }} \\ {\text { C) }} { 75,000,000 \text { per year }} \\ {\text { D) } 130,000,000 \text { per year }}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 23

Of the following, which program's ratio of its
2007 budget to its 2010 budget is closest to the
human resources program's ratio of its 2007 budget
to its 2010 budget?
$$\begin{array}{l}{\text { A) Agriculture/natural resources }} \\ {\text { B) Education }} \\ {\text { C) Highways and transportation }} \\ {\text { D) Public safety }}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 24

Which of the following is an equation of a circle in
the $x y$ -plane with center $(0,4)$ and a radius with
endpoint $\left(\frac{4}{3}, 5\right) ?$
$$\begin{array}{l}{\text { A) } x^{2}+(y-4)^{2}=\frac{25}{9}} \\ {\text { B) } x^{2}+(y+4)^{2}=\frac{25}{9}} \\ {\text { C) } x^{2}+(y-4)^{2}=\frac{5}{3}} \\ {\text { D) } x^{2}+(y+4)^{2}=\frac{3}{5}}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 25

$$h=-4.9 t^{2}+25 t$$
The equation above expresses the approximate
height $h,$ in meters, of a ball $t$ seconds after it is
launched vertically upward from the ground with an
initial velocity of 25 meters per second. After
approximately how many seconds will the ball hit the
ground?
$$\begin{array}{l}{\text { A) } 3.5} \\ {\text { B) } 4.0} \\ {\text { C) } 4.5} \\ {\text { D) } 5.0}\end{array}$$

Lily A.
Numerade Educator
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