Notesale: Turn your study into money

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Continue Practice Exam Test Questions Part
11 of the Series
Choose the letter of the best answer in each
questions
...
The y coordinates of all the points of
intersection of the parabola y2 = x + 2 and the
circle x2 + y2 = 4 are given by
a
...
0 , √3 , – √3
c
...
1 , -2 , 1
502
...
Pi/3
b
...
Pi/18
d
...
A cylinder of radius 5 cm is inserted
within a cylinder of radius 10 cm
...

What is the volume of the region between the
two cylinders?

d
...
A cone made of cardboard has a vertical
height of 8 cm and a radius of 6 cm
...
216
b
...
90
d
...
If sin(x) = -1/3 and Pi ≤ x ≤ 3Pi/2, then
cot(2x) = ?
a
...
2√2
c
...
7/(4√2)
507
...
(√45 – 2√24)/35
b
...
500Pi

c
...
1000Pi

d
...
85

c
...
What value of x makes the three terms
x, x/(x + 1) and 3x/[(x + 1)(x + 2)] those of
a geometric sequence?

d
...
A data set has a standard deviation equal
to 1
...
3
b
...
2

a
...
1/2
c
...
-1/2

509
...
If the angles of the triangle
are in the continued proportions of 1:2:4
...

a
...
545

513
...

a
...
2488 mi
...
19
...
2484 mi
...
18
...
14
...
The sides of the triangular field which
contains an area of 2400 sq
...
are in
continued proportion of 3:5:7
...

a
...
74
b
...
62
c
...
43
d
...
67
511
...
And
point D is inside the triangle
...


d
...

514
...
32
...
3
b
...
2, 69
...
20
...
1
d
...
9, -69
...
If sin3x = cos6y then:
a
...
x + y = 180
c
...
100 deg
...
x + y = 90

b
...


516
...
5)]
...
20°

c
...

d
...

512
...

a
...
cos2x
c
...
sec2xsin2x

b
...
30°
d
...
An airplane can fly at airspeed of 300
mph
...
What will be the planes
groundspeed if it flies at this course?
a
...
7°, 321
...
31
...
68 mph

b
...
1 cm

c
...
7°, 121
...
1
...
12
...
86 mph

d
...
71 cm

518
...
(a = 120°,
b = 73°15’, c = 62°45’)

522
...
66

a
...
115°26’

b
...
54

c
...
137°56’
519
...
One side of a
parallelogram is 12 cm
...

a
...
216
c
...
108
520
...
If the
sum of the two opposite angles is 225°, find
the area of the parallelogram
...
36
523
...
2 m
...
1075
b
...
1175
d
...
Find the area of a pentagon which is
circumscribing a circle having an area of
420
...
cm
...
386
...
450
...
168
...
486
...
78
...
260
...
70
...
As x increases from Pi/4 to 3Pi/4,
|sin(2x)|

d
...
71
521
...

Find the radius of the circle that can be
inscribed in it
...
2
...
always increases
b
...
increases then decreases
d
...
If ax3 + bx2 + cx + d is divided by x – 2,
then the reminder is equal to
a
...
1/10

b
...
1/3

c
...
In a triangle ABC, angle B has a size of
50°, angle A has a size of 32° and the length
of side BC is 150 units
...
a + b + c + d
527
...
If the committee is selected at
random, what is the probability that it has an
equal number of male and female teachers?
a
...
150/429
c
...
170/429
528
...
y ≥ 2

c
...
232
b
...
260
d
...
For the remainder of the division of x3 –
2x2 + 3kx + 18 by x – 6 to be equal to zero, k
must be equal to
a
...
5
c
...
-10

b
...
y ≥ -3
d
...
What is the period of the function f(x) =
3sin2(2x + Pi/4)?
a
...
It takes pump (A) 4 hours to empty a
swimming pool
...
If the two
pumps are started together, at what time will
the two pumps have emptied 50% of the
water in the swimming pool?
a
...
2Pi

b
...
Pi/2

c
...
Pi/3

d
...
It is known that 3 out of 10 television
sets are defective
...
The graph of r = 10 cos(Θ) , where r and
Θ are the polar coordinates, is

a
...
an ellipse

a
...
a horizontal line

d
...
47

d
...
Find the area of a hexagon with a square
having an area of 72 sq
...
inscribed in a
circle which is inscribed in a hexagon
...
If (2 – i)*(a – bi) = 2 + 9i, where i is the
imaginary unit and a and b are real numbers,
then a equals
a
...
124
...
cm
...
150
...
cm
...
1
c
...
35 sq
...

c
...
130
...
cm
...
-1
536
...
If L1 passes
through the point (0, 2), then line L2 must
pass through the point

540
...
If the tangent is
6 inches and the external segment of the
secant is 3 inches, compute the length of the
secant
...
(0 , 3)

a
...
(1 , 1)

b
...
(3 , 1)

c
...
(5 , 0)

d
...
In a plane there are 6 points such that
no three points are collinear
...
Two circles with radii 8 and 3 m are
tangent to each other externally
...
8
b
...
7
...
9
...
18
c
...
7 m
d
...
In a circle with a diameter of 10 meters,
a regular five pointed star touching its
circumference is inscribed
...
6
...
60
...
The diameters of the two circles that are
tangent internally are 18 and 8, respectively
...
40
...
2

c
...
68

b
...
3
d
...
Three identical circles are tangent to
each other externally
...
13
cm2, compute the radius of each circle
...
10 cm
b
...
9 cm
d
...
A semi – circle of radius 14 cm is bent to
form a rectangle whose length is 1 cm more
than its width
...

a
...
75 cm2
b
...
32 cm2
c
...
57 cm2
d
...
75 cm2

547
...
Determine the area of the
overlapping region thus formed
...
110
...
119
...
121
...
117
...
The side of a regular pentagon is 25 cm
...

a
...
5 cm2
b
...
6 cm2
c
...
75 cm2
d
...
65 cm2
549
...
If 4
...
A swimming pool is constructed in the
shape of two partially overlapping circles,
each of radius 9 m
...


a
...
5 kg

a
...
7 m

d
...
4 kg

b
...
4 m

550
...
How far
from the vertex should the cut parallel to the
base be made?

c
...
5 m
d
...
8 m
546
...
If the shorter diagonal is of length 6 cm
...
24 cm2
b
...
18 cm2
d
...
6
...
7
...
6
...
3
...
7
...
8
...


501
...
0 , √3 , – √3

527
...
140/429

502
...
Pi/6

528
...
y ≤ –3

503
...
1500Pi

529
...
Pi/2

504
...
2

530
...
1/15

505
...
216

531
...
280

506
...
7/(4√2)

532
...
–9

507
...
(√45 – 2√24)/35

533
...
1 hour 12 minutes

508
...
-1/2

534
...
a circle

509
...
19
...
d
...
d
...
67

536
...
(3 , 1)

511
...
130 deg
...
c
...
c
...
d
...
47

513
...
2488 mi
...
a
...
71 sq
...


514
...
20
...
1

540
...
12

515
...
x + 2y = 30

541
...
9
...
c
...
c
...
a
...
7°, 321
...
a
...
d
...
a
...
75 cm2

519
...
216

545
...
75
...
a
...
18

546
...
24 cm2

521
...
1
...
b
...
3 cm2

522
...
54

548
...
937
...
a
...
c
...
5 kg

524
...
486
...
c
...
94 cm

525
...
decreases then increases
526
...
8a + 4b + 2c + d



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