Math Tests nb
Practice
Test
nb nb
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
nb nb nb nb nb nb nb nb
ht away at sat.org/scoring.
nb nb nb
©nb2016nbThenbCollegenbBoard.nbCollegenbBoard,nbSAT,nbandnbthenbacornnblogonbarenbregisterednbtrademarksnbofnbthenbCollegenbBoard.
Downloaded by michael ndiema (
nb nb nb nb
, 3 3
MathTest – No Calculator n
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25 MINUTES, 20 QUESTIONS
nb nb nb nb
Turn to Section 3 of your answer sheet to answer the questions in this section.
nb nb nb nb nb nb nb nb nb nb nb nb nb nb
For questions 1-nb nb
15, solve each problem, choose the best answer from the choices provided, and fill in the c
nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb
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
nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb
the directions before question 16 on how to enter your answers in the grid. You may use a
nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb
ny available space in your test booklet for scratch work.
nb nb nb nb nb nb nb nb nb
1. The use of a calculator is not permitted.
nb nb nb nb nb nb nb
2. All variables and expressions used represent real numbers unless otherwise indicated.
nb nb nb nb nb nb nb nb nb nb
3. Figures provided in this test are drawn to scale unless otherwise indicated.
nb nb nb nb nb nb nb nb nb nb nb
4. All figures lie in a plane unless otherwise indicated.
nb nb nb nb nb nb nb nb
5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for
nb nb nb nb nb nb nb nb nb n b nb nb nb nb nb nb nb nb n
which f (x) is a real number.
b nb nb nb nb nb nb
ℓ 2x s2
c s
w h b x
b x3 s
a
A= ℓ
1
A = pr2 c2 = a2 + b2 Special Right Triangles
nb
nb nb nb nb A= b nb nb
nb
nb
nb
nb nb nb
C = 2pr w h
nb nb
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
nb nb nb nb nb nb nb nb nb nb
h 3 h 3
3
The number of degrees of arc in a circle is 360. Th
nb nb nb nb nb nb nb nb nb nb nb
e number of radians of arc in a circle is 2p.
nb nb nb nb nb nb nb nb nb nb
The sum of the measures in degrees of the angles of a triangle is 180.
nb nb nb nb nb nb nb nb nb nb nb nb nb nb
Unauthorizednbcopyingnbornbreusenbofnbanynbpartnbofnbthisnbpagenbisnbill
34 CONTINUE
egal.
Downloaded by michael ndiema ( nb nb nb
, 3 3
1 3
...............................................................................................................................................................................................................................................................................................................
x −1 nbnb
On Saturday afternoon, Armand sent m text m
If = k and k = 3, what is the value of
nb nb
nb nb nb nb n b n b nb
essages each hour for 5 hours, and Tyrone sent p
nb nb n b nb nb nb nb nb nb nb nb n b
nb nb nb nb nb nb nb nb nb nb
x ?
n b
text messages each hour for 4 hours. Which of th
nb nb nb nb nb nb nb nb nb
3 e following represents the total number of messa
nb nb nb nb nb nb nb
A) 2 ges sent by Armand and Tyrone on Saturday aftern
nb nb nb nb nb nb nb nb
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) ?
nb nb nb nb nb nb nb nb nb nb n b nb nb nb nb
A) −1 + 12i nb nb 4
B) −1 − 6i nb nb
Kathy is a repair technician for a phone company.
nb nb nb nb nb nb nb nb nb
C) 15 + 12i nb nb Each week, she receives a batch of phones that nee
nb nb nb nb nb nb nb nb nb
D) 15 − 6i nb nb
d repairs. The number of phones that she has left to
nb n b nb nb nb nb nb nb nb nb
fix at the end of each day can be estimated with th
nb nb nb nb nb nb nb nb nb nb nb nb
e equation P = 108 − 23d, where P is the numbe
nb n b nb nb nb nb nb n b n b nb nb
r of phones left and d is the number of days she h
nb nb nb nb nb nb nb nb nb nb nb nb
as worked that week. What is the meaning of the
nb nb nb nb nb nb nb nb nb
value 108 in this equation?
nb nb nb nb
A) Kathy will complete the repairs within 108 days
nb nb nb nb nb nb nb
.
B) Kathy starts each week with 108 phones to fix.
nb nb nb nb nb nb nb nb
C) Kathy repairs phones at a rate of 108 per hour.
nb nb nb nb nb nb nb nb nb
D) Kathy repairs phones at a rate of 108 per day.
nb nb nb nb nb nb nb nb nb
Unauthorizednbcopyingnbornbreusenbofnbanynbpartnbofnbthisnbpagenbisnbill
35 CONTINUE
egal.
Downloaded by michael ndiema (
nb nb nb nb
, 3 3
5 7
...............................................................................................................................................................................................................................................................................................................
2 2 2 2 2
(2x y − 3y + 5xy ) − (−x y + 3xy − 3y
nb nb
nb
nb
nb
nb nb nb
nb
nb r ⎞⎟⎛ r ⎞N ⎛ n b n b
) 1+
⎜ ⎟⎜ ⎟
Which of the following is equivalent to t ⎜⎝ 1,200 ⎠⎝⎜ 1,200 ⎠⎟
nb n b nb
m=
nb nb nb nb nb nb nb nb nb
he nb P
expression above? ⎛ r ⎞
N
nb
1+ ⎟ −1
n b n b
⎜
n b
nb
A) 4x2y2 ⎜⎝ 1,200 ⎟⎠ n b
The formula above gives the monthly payment m
B) 8xy2 − 6y2
nb nb nb nb nb nb nb nb
nb
nb needed to pay off a loan of P dollars at r percent
nb nb nb nb nb nb nb nb nb nb nb nb
annual interest over N months. Which of the f
C) 2x2y + 2xy2
nb nb n b n b n b nb nb nb
nb nb
ollowing gives P in terms of m, r, and N ?
nb n b n b nb nb n b nb nb n b n b
D) 2x2y + 8xy2 − 6y
r ⎞N
nb
nb nb nb
⎛ r ⎞⎟⎛
⎜ ⎜1+ ⎟
n b n b
2
⎜⎝ 1,200 ⎟⎠⎜⎝ 1,200 ⎟⎠
n
b
nb nb n b
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.
n b n b
hnb nb nb nb
⎜ ⎟⎜ ⎟
⎜⎝ 1,200 ⎠⎜ 1,200 ⎟⎠
nb nb nb
A pediatrician uses the model above to estimate t
nb nb nb nb nb nb nb nb
⎝
he height h of a boy, in inches, in terms of the
nb n b n b nb nb nb nb nb nb nb nb nb
boy’s age a, in years, between the ages of 2 and
nb nb nb nb nb nb nb nb nb nb nb
5. Based on the model, what is the estimated in
n b nb nb nb nb nb nb nb nb
⎛ r⎞
C) P = ⎜ ⎟m
n b
crease, in inches, of a boy’s height each year?
nb nb nb nb nb nb nb nb n b nb nb
nb
⎜⎝1,200⎟⎠
A) 3
B) 5.7
C) 9.5
D) 14.3 ⎛ 1,200 ⎞⎟
D) P = ⎜
nb
m nb nb
⎜⎝ r ⎟⎠
nb nb
Unauthorizednbcopyingnbornbreusenbofnbanynbpartnbofnbthisnbpagenbisnbill
36 CONTINUE
egal.
Downloaded by michael ndiema (
nb nb nb nb
Practice
Test
nb nb
Make time to take the practice test. I
nb nb nb nb nb nb nb
t’s one of the best ways to get ready for
nb nb nb nb nb nb nb nb nb nb
the SAT. nb
After you’ve taken the practice test, score it rig
nb nb nb nb nb nb nb nb
ht away at sat.org/scoring.
nb nb nb
©nb2016nbThenbCollegenbBoard.nbCollegenbBoard,nbSAT,nbandnbthenbacornnblogonbarenbregisterednbtrademarksnbofnbthenbCollegenbBoard.
Downloaded by michael ndiema (
nb nb nb nb
, 3 3
MathTest – No Calculator n
b nb nb nb
25 MINUTES, 20 QUESTIONS
nb nb nb nb
Turn to Section 3 of your answer sheet to answer the questions in this section.
nb nb nb nb nb nb nb nb nb nb nb nb nb nb
For questions 1-nb nb
15, solve each problem, choose the best answer from the choices provided, and fill in the c
nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb
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
nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb
the directions before question 16 on how to enter your answers in the grid. You may use a
nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb nb
ny available space in your test booklet for scratch work.
nb nb nb nb nb nb nb nb nb
1. The use of a calculator is not permitted.
nb nb nb nb nb nb nb
2. All variables and expressions used represent real numbers unless otherwise indicated.
nb nb nb nb nb nb nb nb nb nb
3. Figures provided in this test are drawn to scale unless otherwise indicated.
nb nb nb nb nb nb nb nb nb nb nb
4. All figures lie in a plane unless otherwise indicated.
nb nb nb nb nb nb nb nb
5. Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for
nb nb nb nb nb nb nb nb nb n b nb nb nb nb nb nb nb nb n
which f (x) is a real number.
b nb nb nb nb nb nb
ℓ 2x s2
c s
w h b x
b x3 s
a
A= ℓ
1
A = pr2 c2 = a2 + b2 Special Right Triangles
nb
nb nb nb nb A= b nb nb
nb
nb
nb
nb nb nb
C = 2pr w h
nb nb
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
nb nb nb nb nb nb nb nb nb nb
h 3 h 3
3
The number of degrees of arc in a circle is 360. Th
nb nb nb nb nb nb nb nb nb nb nb
e number of radians of arc in a circle is 2p.
nb nb nb nb nb nb nb nb nb nb
The sum of the measures in degrees of the angles of a triangle is 180.
nb nb nb nb nb nb nb nb nb nb nb nb nb nb
Unauthorizednbcopyingnbornbreusenbofnbanynbpartnbofnbthisnbpagenbisnbill
34 CONTINUE
egal.
Downloaded by michael ndiema ( nb nb nb
, 3 3
1 3
...............................................................................................................................................................................................................................................................................................................
x −1 nbnb
On Saturday afternoon, Armand sent m text m
If = k and k = 3, what is the value of
nb nb
nb nb nb nb n b n b nb
essages each hour for 5 hours, and Tyrone sent p
nb nb n b nb nb nb nb nb nb nb nb n b
nb nb nb nb nb nb nb nb nb nb
x ?
n b
text messages each hour for 4 hours. Which of th
nb nb nb nb nb nb nb nb nb
3 e following represents the total number of messa
nb nb nb nb nb nb nb
A) 2 ges sent by Armand and Tyrone on Saturday aftern
nb nb nb nb nb nb nb nb
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) ?
nb nb nb nb nb nb nb nb nb nb n b nb nb nb nb
A) −1 + 12i nb nb 4
B) −1 − 6i nb nb
Kathy is a repair technician for a phone company.
nb nb nb nb nb nb nb nb nb
C) 15 + 12i nb nb Each week, she receives a batch of phones that nee
nb nb nb nb nb nb nb nb nb
D) 15 − 6i nb nb
d repairs. The number of phones that she has left to
nb n b nb nb nb nb nb nb nb nb
fix at the end of each day can be estimated with th
nb nb nb nb nb nb nb nb nb nb nb nb
e equation P = 108 − 23d, where P is the numbe
nb n b nb nb nb nb nb n b n b nb nb
r of phones left and d is the number of days she h
nb nb nb nb nb nb nb nb nb nb nb nb
as worked that week. What is the meaning of the
nb nb nb nb nb nb nb nb nb
value 108 in this equation?
nb nb nb nb
A) Kathy will complete the repairs within 108 days
nb nb nb nb nb nb nb
.
B) Kathy starts each week with 108 phones to fix.
nb nb nb nb nb nb nb nb
C) Kathy repairs phones at a rate of 108 per hour.
nb nb nb nb nb nb nb nb nb
D) Kathy repairs phones at a rate of 108 per day.
nb nb nb nb nb nb nb nb nb
Unauthorizednbcopyingnbornbreusenbofnbanynbpartnbofnbthisnbpagenbisnbill
35 CONTINUE
egal.
Downloaded by michael ndiema (
nb nb nb nb
, 3 3
5 7
...............................................................................................................................................................................................................................................................................................................
2 2 2 2 2
(2x y − 3y + 5xy ) − (−x y + 3xy − 3y
nb nb
nb
nb
nb
nb nb nb
nb
nb r ⎞⎟⎛ r ⎞N ⎛ n b n b
) 1+
⎜ ⎟⎜ ⎟
Which of the following is equivalent to t ⎜⎝ 1,200 ⎠⎝⎜ 1,200 ⎠⎟
nb n b nb
m=
nb nb nb nb nb nb nb nb nb
he nb P
expression above? ⎛ r ⎞
N
nb
1+ ⎟ −1
n b n b
⎜
n b
nb
A) 4x2y2 ⎜⎝ 1,200 ⎟⎠ n b
The formula above gives the monthly payment m
B) 8xy2 − 6y2
nb nb nb nb nb nb nb nb
nb
nb needed to pay off a loan of P dollars at r percent
nb nb nb nb nb nb nb nb nb nb nb nb
annual interest over N months. Which of the f
C) 2x2y + 2xy2
nb nb n b n b n b nb nb nb
nb nb
ollowing gives P in terms of m, r, and N ?
nb n b n b nb nb n b nb nb n b n b
D) 2x2y + 8xy2 − 6y
r ⎞N
nb
nb nb nb
⎛ r ⎞⎟⎛
⎜ ⎜1+ ⎟
n b n b
2
⎜⎝ 1,200 ⎟⎠⎜⎝ 1,200 ⎟⎠
n
b
nb nb n b
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.
n b n b
hnb nb nb nb
⎜ ⎟⎜ ⎟
⎜⎝ 1,200 ⎠⎜ 1,200 ⎟⎠
nb nb nb
A pediatrician uses the model above to estimate t
nb nb nb nb nb nb nb nb
⎝
he height h of a boy, in inches, in terms of the
nb n b n b nb nb nb nb nb nb nb nb nb
boy’s age a, in years, between the ages of 2 and
nb nb nb nb nb nb nb nb nb nb nb
5. Based on the model, what is the estimated in
n b nb nb nb nb nb nb nb nb
⎛ r⎞
C) P = ⎜ ⎟m
n b
crease, in inches, of a boy’s height each year?
nb nb nb nb nb nb nb nb n b nb nb
nb
⎜⎝1,200⎟⎠
A) 3
B) 5.7
C) 9.5
D) 14.3 ⎛ 1,200 ⎞⎟
D) P = ⎜
nb
m nb nb
⎜⎝ r ⎟⎠
nb nb
Unauthorizednbcopyingnbornbreusenbofnbanynbpartnbofnbthisnbpagenbisnbill
36 CONTINUE
egal.
Downloaded by michael ndiema (
nb nb nb nb
