Notesale: Turn your study into money

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Continue Practice Exam Test Questions Part
10 of the Series
Choose the letter of the best answer in each
questions
...
Determine x so that 2x + 1, x2 + x + 1,
3x2 – 3x + 3 are consecutive terms of an
arithmetic progression
...
3

d
...
A woman started a chain letter by writing
to four friends and requesting each to copy
the letter and send it to four other friends
...
00 per letter?
a
...
2

b
...
5

c
...
4

d
...
An equipment costs P50,000
...
What is the value at the end of 5
years?

456
...
On each rebound it rises 2/3 of the
height from which it last fell
...
15,000
b
...
30,000
d
...
27
...
19
...
20
...
24
...
Find the sum of the first 100 positive
integers that is exactly divisible by 7
...
The arithmetic mean of two numbers is
4, and their harmonic mean is 15/4
...


a
...
3 & 5

b
...
1 & 7

c
...
2 & 6

d
...
0 & 8

454
...


458
...


a
...
x = 1, y = -2

b
...
x = -2, y = -1

c
...
x = 2, y = 1
d
...
From the equation 12x3 – 8x2 + kx + 18
= 0, find the value of k if one root is the
negative of the other
...
-17

463
...
0
...
0
...
0
...
-12
c
...
-36
460
...
0
...
Ten books consisting of 5 mathematics
books, 3 physics books, and 2 chemistry
books are placed in a bookcase at random
...
1/420

a
...
3/520

b
...
2/241
c
...
5/2463

d
...
320

465
...
Assuming constant hourly
consumption for each vehicle, how long will
the fuels provisions last if 8 vehicles withdraw
from the race every hour after the first?

b
...
63

c
...
18

d
...
20

462
...
25

461
...
2,250

466
...

The average rate of production of radios is 1
...
5 hrs
...
5 workers
...
during the
month?

c
...
4000

d
...
3800

a
...
5000
d
...
A piece of rod of length 52 cm
...
Each part is then bent to
form a square
...
Find the
difference between the sides of each square
...
3

471
...
2
b
...
4
d
...
5

472
...
4

a
...
6

b
...
Solve the trigonometric equation: 3sec2x
–4=0

c
...
Pi / 3 + 2n*Pi , 5Pi / 3 + 2n*Pi

d
...
Pi / 6 + 2n*Pi , 11 Pi / 6 + 2n*Pi

473
...
Pi / 3 + n*Pi , 5Pi / 3 + n*Pi

a
...
Pi / 6 + n*Pi , 11 Pi / 6 + n*Pi

b
...
25

469
...
1
...
I
b
...
If the angles of the triangle are 2x, x +
15, and 2x + 15, find the smallest of the
angle in mills
...
II

a
...
IV

b
...
If sec (2x – 3) = 1 / [sin(5x – 9)],
determine the value x in degrees
...
800 mils

a
...
57°
b
...
36°
c
...
65°
d
...
61°

d
...
900 mils
475
...
Which of the
following choices can be a value of x?
a
...
102
c
...
10x

476
...

a
...
7
...
6
...
9
...
45°
c
...
60°
477
...
px = qy
b
...
xp = yq
d
...
Solve the trigonometric equation: (3cosx
+ 7) (-2sinx – 1) = 0

d
...
16 in
481
...
From the top of the shorter tower, the
angle of elevation of the top of the taller tower
is 40°
...
90 m
b
...
80 m
d
...
7Pi / 6 + 2n*Pi , 11Pi / 6 + 2n*Pi

482
...


b
...
3,200 km

c
...
1,300 km

d
...
2,300 km

479
...
3,100 km

a
...
S40° W
c
...
N50° E
480
...
radius
...
The plane of rotation of the
hour hand is 2 inches above the plane of
rotation of the minute hand
...
m
...
Solve the trigonometric equation:
(6tan2x – 2) (2tan2x – 6) = 0
a
...
Pi / 6 , 5Pi / 6
c
...
Pi / 3 + n*Pi , 2Pi / 3 + n*Pi
484
...
Find the height of the hill if the
height of the tower is 116 feet
...
8
...
If cos ϴ =√3 / 2, find 1 – tan2Ө
...
348
...
368
...
258
...
358
...
-1
b
...
2/3
d
...
A ladder, with its foot in the street,
makes an angle of 30° with the street when
its top rests on a building on one side of the
street and makes an angle of 40° with the
street when its top rests on a building on the
other side of the street
...

long, how wide is the street?

489
...

a
...
Pi

a
...
2 ft
...
-1 , 2

b
...
6 ft
...
Pi / 6 , 5Pi / 6 , Pi

c
...
5 ft
...
Solve the trigonometric equation 2sinx
cos(-x) = 2sin(-x)sin(x)” in the interval [0,
2Pi]
...
64
...

486
...
high and 10 ft
...
Find the length of the shortest ladder
which will just touch the top of the wall and
reach a window 20
...
above
...
42
...
35
...
54
...
47
...
A poll tilts toward the sun at an angle
10° from the vertical casts a shadow 9 meters
long
...
10
...
7
...
10
...
0 , Pi , 3Pi / 4 , 7Pi / 4
b
...
0 , Pi / 2
d
...
From a helicopter flying at 30,000 feet,
the angles of depression of two cities are 28°
and 55°
...
35,415
...

b
...
67 ft
...
53,452
...

d
...
76 ft
...
Two angles are adjacent and form an
angle of 120°
...


a
...
30°

the pole subtend an angle whose tangent is
1/3
...
72

c
...
25
d
...
A pine tree broken over by the wind
forms a right triangle with the ground
...

from its base, how tall was the pine tree?

c
...
66
497
...


a
...


a
...
65 ft
...
0 , Pi / 3 , Pi , 5Pi / 3

c
...


c
...
35 ft
...
Pi / 3 , Pi

494
...
in diameter, rolls up an
incline of 18°20’
...
up the
incline?

498
...

a
...


a
...


c
...


b
...


d
...


c
...


499
...

Compute the value of angle ACE
...
6 ft
...
If coversed Sin Ө = 0
...

a
...
8
b
...
3
c
...
5
d
...
2
496
...
At a point in the
horizontal plane which passes through the foot
of the pole and 36 m from it, the upper half of

b
...


a
...

b
...

c
...

d
...

500
...
From another
point B, the angle of elevation of the top of
the tower is 55°30’
...
45 m apart and on the same horizontal
plane as the foot of the tower
...
Find the height of the
tower
...
90
...
c
...
a
...
57°
471
...
5

b
...
7 m
c
...
5 m

472
...
2Pi / 3 + 2n*Pi , 4Pi / 3 + 2n*Pi
473
...
1
...
55
...
c
...


475
...
10-3
476
...
0°

451
...
2

477
...
px = qy

452
...
20,000

478
...
7Pi / 6 + 2n*Pi , 11Pi / 6 + 2n*Pi

453
...
35,350

479
...
N40° E

454
...
1200

480
...
9
...
b
...
a
...
a
...
89 m

482
...
3,200 km

457
...
3 & 5

483
...
Pi / 6 + n*Pi , 5Pi / 6 + 2n*Pi , Pi / 3
+ n*Pi , 2Pi / 3 + n*Pi

458
...
x = 1, y = 2
459
...
-27
460
...
480 ways
461
...
560
462
...
2,520
463
...
0
...
a
...
d
...
a
...
b
...
d
...
d
...
49 m
485
...
81
...

486
...
42
...
a
...
2
488
...
2/3
489
...
Pi / 3 , 5Pi / 3 , Pi
490
...
0 , Pi , 3Pi / 4 , 7Pi / 4
491
...
35,415
...
c
...
a
...
c
...
c
...
5
496
...
72
497
...
0 , Pi / 3 , Pi , 5Pi / 3
498
...
120 deg
...
a
...

500
...
90

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