SAT practice test 1: Math tests and practice questions

Math Tests nb




Practice
Test
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Make time to take the practice test. I
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t’s one of the best ways to get ready for
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the SAT. nb




After you’ve taken the practice test, score it rig
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ht away at sat.org/scoring.
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MathTest – No Calculator n
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25 MINUTES, 20 QUESTIONS
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Turn to Section 3 of your answer sheet to answer the questions in this section.
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For questions 1-nb nb



15, solve each problem, choose the best answer from the choices provided, and fill in the c
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orresponding circle on your answer sheet. For questions 16- nb nb nb nb nb nb nb nb



20, solve the problem and enter your answer in the grid on the answer sheet. Please refer to
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the directions before question 16 on how to enter your answers in the grid. You may use a
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ny available space in your test booklet for scratch work.
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1. The use of a calculator is not permitted.
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2. All variables and expressions used represent real numbers unless otherwise indicated.
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3. Figures provided in this test are drawn to scale unless otherwise indicated.
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4. All figures lie in a plane unless otherwise indicated.
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5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for
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which f (x) is a real number.
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ℓ 2x s2
c s
w h b x

b x3 s
a
A= ℓ
1
A = pr2 c2 = a2 + b2 Special Right Triangles
nb
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nb
nb
nb
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C = 2pr w h
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2


h h
h w
h
w ℓ
V = ℓwh V = pr2 V=
4 pr nb 1
V = pr2
nb
V = 1 ℓwh nb


3
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h 3 h 3
3
The number of degrees of arc in a circle is 360. Th
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e number of radians of arc in a circle is 2p.
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The sum of the measures in degrees of the angles of a triangle is 180.
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Unauthorizednbcopyingnbornbreusenbofnbanynbpartnbofnbthisnbpagenbisnbill
34 CONTINUE
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...............................................................................................................................................................................................................................................................................................................
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On Saturday afternoon, Armand sent m text m
If = k and k = 3, what is the value of
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essages each hour for 5 hours, and Tyrone sent p
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x ?
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text messages each hour for 4 hours. Which of th
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3 e following represents the total number of messa
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A) 2 ges sent by Armand and Tyrone on Saturday aftern
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oon?
B) 4
C) 9 A) 9mp
D) 10 B) 20mp
C) 5m + 4p nb nb




D) 4m + 5p nb nb




2

For i = −1 , what is the sum (7 + 3i) + (−8 + 9i) ?
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A) −1 + 12i nb nb 4
B) −1 − 6i nb nb
Kathy is a repair technician for a phone company.
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C) 15 + 12i nb nb Each week, she receives a batch of phones that nee
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D) 15 − 6i nb nb
d repairs. The number of phones that she has left to
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fix at the end of each day can be estimated with th
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e equation P = 108 − 23d, where P is the numbe
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r of phones left and d is the number of days she h
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as worked that week. What is the meaning of the
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value 108 in this equation?
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A) Kathy will complete the repairs within 108 days
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.
B) Kathy starts each week with 108 phones to fix.
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C) Kathy repairs phones at a rate of 108 per hour.
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D) Kathy repairs phones at a rate of 108 per day.
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Unauthorizednbcopyingnbornbreusenbofnbanynbpartnbofnbthisnbpagenbisnbill
35 CONTINUE
egal.
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...............................................................................................................................................................................................................................................................................................................
2 2 2 2 2
(2x y − 3y + 5xy ) − (−x y + 3xy − 3y
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nb r ⎞⎟⎛ r ⎞N ⎛ n b n b



) 1+
⎜ ⎟⎜ ⎟
Which of the following is equivalent to t ⎜⎝ 1,200 ⎠⎝⎜ 1,200 ⎠⎟
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m=
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he nb P
expression above? ⎛ r ⎞
N
nb
1+ ⎟ −1
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⎜
n b


nb



A) 4x2y2 ⎜⎝ 1,200 ⎟⎠ n b




The formula above gives the monthly payment m
B) 8xy2 − 6y2
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nb
nb needed to pay off a loan of P dollars at r percent
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annual interest over N months. Which of the f
C) 2x2y + 2xy2
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nb nb
ollowing gives P in terms of m, r, and N ?
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D) 2x2y + 8xy2 − 6y
r ⎞N
nb
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⎛ r ⎞⎟⎛
⎜ ⎜1+ ⎟
n b n b

2
⎜⎝ 1,200 ⎟⎠⎜⎝ 1,200 ⎟⎠
n
b
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P m
A) =
nb
N
⎛ r ⎞ n b n b


1+ −1
⎜⎜⎝ 1,200 ⎟⎟⎠
nb

nb n b n b
nb




⎛ r ⎞N
⎟ −1
n b n b


1+
⎜⎜⎝ 1,200 ⎟ ⎠
nb



B) P nb n b n b
m
=
n b n b nb
nb

N
⎛ r ⎞⎟⎛ r ⎞
1+
6 = 3a + 28.
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hnb nb nb nb
⎜ ⎟⎜ ⎟
⎜⎝ 1,200 ⎠⎜ 1,200 ⎟⎠
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A pediatrician uses the model above to estimate t
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⎝
he height h of a boy, in inches, in terms of the
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boy’s age a, in years, between the ages of 2 and
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5. Based on the model, what is the estimated in
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⎛ r⎞
C) P = ⎜ ⎟m
n b


crease, in inches, of a boy’s height each year?
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⎜⎝1,200⎟⎠
A) 3
B) 5.7
C) 9.5
D) 14.3 ⎛ 1,200 ⎞⎟
D) P = ⎜
nb

m nb nb

⎜⎝ r ⎟⎠
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Unauthorizednbcopyingnbornbreusenbofnbanynbpartnbofnbthisnbpagenbisnbill
36 CONTINUE
egal.
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