Continue Practice Exam Test Questions Part d. 4
11 of the Series
505. A cone made of cardboard has a vertical
Choose the letter of the best answer in each height of 8 cm and a radius of 6 cm. If this
questions. cone is cut along the slanted height to make a
sector, what is the central angle, in degrees,
501. The y coordinates of all the points of of the sector?
intersection of the parabola y2 = x + 2 and the
circle x2 + y2 = 4 are given by a. 216
a. 2 , -2
b. 180
b. 0 , √3 , – √3
c. 90
c. 1 , 2 , -1
d. 36
d. 1 , -2 , 1
506. If sin(x) = -1/3 and Pi ≤ x ≤ 3Pi/2, then
502. What is the smallest positive zero of cot(2x) = ?
function f(x) = 1/2 – sin(3x + Pi/3)?
a. 4√2
a. Pi/3
b. 2√2
b. Pi/6
c. √2
c. Pi/18
d. 7/(4√2)
d. Pi/36
507. If in a triangle ABC, sin(A) = 1/5, cos(B)
503. A cylinder of radius 5 cm is inserted = 2/7, then cos(C) = ?
within a cylinder of radius 10 cm. The two
cylinders have the same height of 20 cm. a. (√45 – 2√24)/35
What is the volume of the region between the
two cylinders? b. (√45 + 2√24)/35
a. 500Pi c. (7√24 + 10)/35
b. 1000Pi d. 0.85
c. 1500Pi 508. What value of x makes the three terms
x, x/(x + 1) and 3x/[(x + 1)(x + 2)] those of
d. 2000Pi a geometric sequence?
504. A data set has a standard deviation equal a. 1
to 1. If each data value in the data set is
multiplied by 4, then the value of the standard b. 1/2
deviation of the new data set is equal to
c. 1/4
a. 3
d. -1/2
b. 1
c. 2
, 509. The sum of the sides of a triangle is 513. Assuming the earth to be a sphere of
equal to 100 cm. If the angles of the triangle radius 3960 mi, find the distance of point 36°
are in the continued proportions of 1:2:4. N latitude from the equator.
Compute the shortest side of the triangle.
a. 2844 mi
a. 17.545
b. 2488 mi.
b. 19.806
c. 2484 mi.
c. 18.525
d. 4288 mi.
d. 14.507
514. If sinx cosx + sin2x = 1, what are the
510. The sides of the triangular field which values of x in degrees?
contains an area of 2400 sq. cm. are in
continued proportion of 3:5:7. Find the a. 32.2, 69.3
smallest side of the triangle.
b. -32.2, 69.3
a. 45.74
c. 20.9, 69.1
b. 63.62
d. 20.9, -69.1
c. 95.43
515. If sin3x = cos6y then:
d. 57.67
a. x – 2y = 30
511. In triangle ABC, angle A=80 deg. And
point D is inside the triangle. If BD and CD are b. x + y = 180
bisectors of angle B and C, solve for the angle
BDC. c. x + 2y = 30
a. 100 deg. d. x + y = 90
b. 130 deg. 516. Evaluate cot-1 [2cos (sin-10.5)].
a. 20°
c. 120 deg.
b. 45°
d. 140 deg.
c. 30°
512. Simplify the equation Sin2x (1 + cot2x).
d. 60°
a. 0
517. An airplane can fly at airspeed of 300
b. cos2x mph. if there is a wind blowing towards the
east at 50 mph, what should be the planes
c. 1 compass heading in order for its course to be
30 degrees. What will be the planes
d. sec2xsin2x groundspeed if it flies at this course?
a. 21.7°, 321.86 mph
11 of the Series
505. A cone made of cardboard has a vertical
Choose the letter of the best answer in each height of 8 cm and a radius of 6 cm. If this
questions. cone is cut along the slanted height to make a
sector, what is the central angle, in degrees,
501. The y coordinates of all the points of of the sector?
intersection of the parabola y2 = x + 2 and the
circle x2 + y2 = 4 are given by a. 216
a. 2 , -2
b. 180
b. 0 , √3 , – √3
c. 90
c. 1 , 2 , -1
d. 36
d. 1 , -2 , 1
506. If sin(x) = -1/3 and Pi ≤ x ≤ 3Pi/2, then
502. What is the smallest positive zero of cot(2x) = ?
function f(x) = 1/2 – sin(3x + Pi/3)?
a. 4√2
a. Pi/3
b. 2√2
b. Pi/6
c. √2
c. Pi/18
d. 7/(4√2)
d. Pi/36
507. If in a triangle ABC, sin(A) = 1/5, cos(B)
503. A cylinder of radius 5 cm is inserted = 2/7, then cos(C) = ?
within a cylinder of radius 10 cm. The two
cylinders have the same height of 20 cm. a. (√45 – 2√24)/35
What is the volume of the region between the
two cylinders? b. (√45 + 2√24)/35
a. 500Pi c. (7√24 + 10)/35
b. 1000Pi d. 0.85
c. 1500Pi 508. What value of x makes the three terms
x, x/(x + 1) and 3x/[(x + 1)(x + 2)] those of
d. 2000Pi a geometric sequence?
504. A data set has a standard deviation equal a. 1
to 1. If each data value in the data set is
multiplied by 4, then the value of the standard b. 1/2
deviation of the new data set is equal to
c. 1/4
a. 3
d. -1/2
b. 1
c. 2
, 509. The sum of the sides of a triangle is 513. Assuming the earth to be a sphere of
equal to 100 cm. If the angles of the triangle radius 3960 mi, find the distance of point 36°
are in the continued proportions of 1:2:4. N latitude from the equator.
Compute the shortest side of the triangle.
a. 2844 mi
a. 17.545
b. 2488 mi.
b. 19.806
c. 2484 mi.
c. 18.525
d. 4288 mi.
d. 14.507
514. If sinx cosx + sin2x = 1, what are the
510. The sides of the triangular field which values of x in degrees?
contains an area of 2400 sq. cm. are in
continued proportion of 3:5:7. Find the a. 32.2, 69.3
smallest side of the triangle.
b. -32.2, 69.3
a. 45.74
c. 20.9, 69.1
b. 63.62
d. 20.9, -69.1
c. 95.43
515. If sin3x = cos6y then:
d. 57.67
a. x – 2y = 30
511. In triangle ABC, angle A=80 deg. And
point D is inside the triangle. If BD and CD are b. x + y = 180
bisectors of angle B and C, solve for the angle
BDC. c. x + 2y = 30
a. 100 deg. d. x + y = 90
b. 130 deg. 516. Evaluate cot-1 [2cos (sin-10.5)].
a. 20°
c. 120 deg.
b. 45°
d. 140 deg.
c. 30°
512. Simplify the equation Sin2x (1 + cot2x).
d. 60°
a. 0
517. An airplane can fly at airspeed of 300
b. cos2x mph. if there is a wind blowing towards the
east at 50 mph, what should be the planes
c. 1 compass heading in order for its course to be
30 degrees. What will be the planes
d. sec2xsin2x groundspeed if it flies at this course?
a. 21.7°, 321.86 mph
