, Units
PRACTICE PROBLEMS | SOLUTIONS
1. Kinetic energy is calculated in the SI system as zmv?,
1. What SI unit is equal to the combination of base
units kg-m?/s?? with units of kg-m?/s?, which are equal to joules (J).
The answer is (A).
(A) joule
(B) pascal 2. The abbreviation kip is used for kilopound, which is
1000 Ibf (pounds of force).
(C) tesla
The answer is (C).
(D) watt
2. What is a kip? 3. A metric ton, also known as a tonne, is 1000 kg.
The answer is (B).
(A ) 1000 in-lbf (torque)
(B ) 1000 Ibm (mass)
(Cc ') 1000 Ibf (force)
(D ) 1000 psi (pressure)
3. What is a metric ton?
(A) 200 kg
(B) 1000 kg
(C) 2000 kg
(D) 2000N
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, Analytic Geometry and
Trigonometry
3. A line with slope 4/3 passes through the point (6, 4).
How long is the segment of the line that begins at the
yintercept and ends at the point (6, 4)?
1. To find the width of a river, a surveyor sets up a
transit at point C on one river bank and sights directly (A) 10
across to point B on the other bank. The surveyor then
walks along the bank for a distance of 275 m to point A. (B) 25
The angle CAB is 57° 28’.
(C) 50
B
(D) 75
4. Which of the following expressions is equivalent to
Ss SS ae sin 20?
eee, (A) 2sin@cos@
—— a
57°28" (B) cos? @—sin?@
—_————a (C) sin @cosé
c A
275m
@) =1—cos 20
What is the approximate width of the river?
5. Which of the following equations describes a circle
(A) 150m with center at (2,3) and passing through the point
(B) 230m (-3, -4)?
(C) 330m (A) (2+3)?+ (y+4)?=85
(D) 430m (B) (e+3)? + (y+2)? = V74
2. In the triangle shown, angles ABD and DBC are 90°,
AD =15, DC = 20, and AC = 25. (
(C) (#3) +(y—2)?=74
D
(D) ( (r-2)?+(y-3)?=74
6. The equation for a circle is 2+4r+ y+8y=0.
What are the coordinates of the circle’s center?
(A) (-4,-8)
A
B
c
(B) (-4,-2)
What are the lengths BC and BD, respectively? (C) (-2,-4)
(D) (2,-4)
) 12 and 16
) 13 and 17
) 16 and 12
(D) 18 and 13
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, a2-2 SSS
=
7. Which of the following statements is FALSE for all
44. For the right triangle shown, 2=18 om ang ys
ey Bey
rc
ey noncircular ellipses? g
I
Y= 13cm
ES= (A) The eccentricity, e, is less than one. C
x= 18cm
& (B) The ellipse has two foci.
Most nearly, what is csc 6?
(C) The sum of the two distances from the two foci
to any point on the ellipse is 2a (i.e., twice the (A) 0.98
semimajor distance).
(D) The coefficients A and C preceding the 2” and y?
(B) 12
terms in the general form of the equation are (Cc) LT
equal.
(D) 15
8. What is the area of the shaded portion of the circle
shown? 42. A circular sector has a radius of 8 cm and
length of 13 cm. The area of the circular sector nemoe
nearly
(A) 48cm?
(B) 50cm?
(C) 52cm?
(D) 60cm?
13. The equation 32” + 4y’ = 1 defines
a) Z-1
(A) acircle
@) (B)e-9 (B) anellipse
(C) ahyperbola
o = (D) aparabola
14. What is the approximate surface area (including
(D) 497-3 both side and base) of a 4 m high right circular cone
with a base 3 m in diameter?
9. A pipe with a 20 cm inner diameter is laying horizon-
tally and is filled to a depth equal to one-third of its (A) 24m?
diameter with a substance that will prevent flow. What
(B) 27m?
is the approximate area in flow in the remaining open
cross section of the pipe? (C) 32m?
(A) 33cm? (D) 36m
(B) 92cm? 15. A particle moves in the ay plane. After t seconds,
are
the a and y-coordinates of the particle’s location
(C) 223 cm? Which of the following
z=8sint and y=6cost.
(D) 314 cm? equations describes the path of the particle?
10. The equation y= a; + az is an algebraic expression (A ) 362? + 64y? = 2304
for which of the following?
(B ) 3622 - 64y? = 2304
(A) acosine expansion series (C ) 64a? + 36y? = 2304
(B) projectile motion (D ) 642? — 364 = 2304
(C) acircle in polar form
(D) astraight line
PPle ppliZ2pass-com
PRACTICE PROBLEMS | SOLUTIONS
1. Kinetic energy is calculated in the SI system as zmv?,
1. What SI unit is equal to the combination of base
units kg-m?/s?? with units of kg-m?/s?, which are equal to joules (J).
The answer is (A).
(A) joule
(B) pascal 2. The abbreviation kip is used for kilopound, which is
1000 Ibf (pounds of force).
(C) tesla
The answer is (C).
(D) watt
2. What is a kip? 3. A metric ton, also known as a tonne, is 1000 kg.
The answer is (B).
(A ) 1000 in-lbf (torque)
(B ) 1000 Ibm (mass)
(Cc ') 1000 Ibf (force)
(D ) 1000 psi (pressure)
3. What is a metric ton?
(A) 200 kg
(B) 1000 kg
(C) 2000 kg
(D) 2000N
PPI e ppl2pass.com
, Analytic Geometry and
Trigonometry
3. A line with slope 4/3 passes through the point (6, 4).
How long is the segment of the line that begins at the
yintercept and ends at the point (6, 4)?
1. To find the width of a river, a surveyor sets up a
transit at point C on one river bank and sights directly (A) 10
across to point B on the other bank. The surveyor then
walks along the bank for a distance of 275 m to point A. (B) 25
The angle CAB is 57° 28’.
(C) 50
B
(D) 75
4. Which of the following expressions is equivalent to
Ss SS ae sin 20?
eee, (A) 2sin@cos@
—— a
57°28" (B) cos? @—sin?@
—_————a (C) sin @cosé
c A
275m
@) =1—cos 20
What is the approximate width of the river?
5. Which of the following equations describes a circle
(A) 150m with center at (2,3) and passing through the point
(B) 230m (-3, -4)?
(C) 330m (A) (2+3)?+ (y+4)?=85
(D) 430m (B) (e+3)? + (y+2)? = V74
2. In the triangle shown, angles ABD and DBC are 90°,
AD =15, DC = 20, and AC = 25. (
(C) (#3) +(y—2)?=74
D
(D) ( (r-2)?+(y-3)?=74
6. The equation for a circle is 2+4r+ y+8y=0.
What are the coordinates of the circle’s center?
(A) (-4,-8)
A
B
c
(B) (-4,-2)
What are the lengths BC and BD, respectively? (C) (-2,-4)
(D) (2,-4)
) 12 and 16
) 13 and 17
) 16 and 12
(D) 18 and 13
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| PPi_e ppi2pass.com
, a2-2 SSS
=
7. Which of the following statements is FALSE for all
44. For the right triangle shown, 2=18 om ang ys
ey Bey
rc
ey noncircular ellipses? g
I
Y= 13cm
ES= (A) The eccentricity, e, is less than one. C
x= 18cm
& (B) The ellipse has two foci.
Most nearly, what is csc 6?
(C) The sum of the two distances from the two foci
to any point on the ellipse is 2a (i.e., twice the (A) 0.98
semimajor distance).
(D) The coefficients A and C preceding the 2” and y?
(B) 12
terms in the general form of the equation are (Cc) LT
equal.
(D) 15
8. What is the area of the shaded portion of the circle
shown? 42. A circular sector has a radius of 8 cm and
length of 13 cm. The area of the circular sector nemoe
nearly
(A) 48cm?
(B) 50cm?
(C) 52cm?
(D) 60cm?
13. The equation 32” + 4y’ = 1 defines
a) Z-1
(A) acircle
@) (B)e-9 (B) anellipse
(C) ahyperbola
o = (D) aparabola
14. What is the approximate surface area (including
(D) 497-3 both side and base) of a 4 m high right circular cone
with a base 3 m in diameter?
9. A pipe with a 20 cm inner diameter is laying horizon-
tally and is filled to a depth equal to one-third of its (A) 24m?
diameter with a substance that will prevent flow. What
(B) 27m?
is the approximate area in flow in the remaining open
cross section of the pipe? (C) 32m?
(A) 33cm? (D) 36m
(B) 92cm? 15. A particle moves in the ay plane. After t seconds,
are
the a and y-coordinates of the particle’s location
(C) 223 cm? Which of the following
z=8sint and y=6cost.
(D) 314 cm? equations describes the path of the particle?
10. The equation y= a; + az is an algebraic expression (A ) 362? + 64y? = 2304
for which of the following?
(B ) 3622 - 64y? = 2304
(A) acosine expansion series (C ) 64a? + 36y? = 2304
(B) projectile motion (D ) 642? — 364 = 2304
(C) acircle in polar form
(D) astraight line
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