(8
TAKS Math 11th Grade – Objective 8 NAME ____________________________________
1) Which statement best describes why pentagon PQRST is similar to pentagon VWXYZ?
A The ratio of the length of [pic] to [pic] equals the ratio of
the length of [pic] to [pic].
B Both pentagons have corresponding right angles.
C Pentagon VWXYZ is the result of a translation of pentagon PQRST.
D The ratio of the corresponding sides of pentagons
PQRST and VWXYZ is 2:1.
2) A rectangular solid has a volume of 24 cubic decimeters. If the length, width, and height are all changed to
[pic] their original size, what will be the new volume of the rectangular solid?
A 3 dm3 B 4 dm3 C 6 dm3 D 12 dm3
3) The total area of trapezoid FGHJ is 52 square inches.
What is the approximate length of [pic]?
A 8.0 in.
B 8.5 in.
C 11.0 in.
D 11.5 in.
4) The radius of a spherical beach ball is 24 centimeters. If another spherical beach ball has a radius 3 centimeters longer, about how much greater is its surface area, to the nearest square centimeter?
F 37 cm2
G 113 cm2
H 1,923 cm2
J 24,542 cm2
5) In the figure below, [pic]QNM ~ [pic]PQN, and NM = 12.5 centimeters.
What is the area of [pic]PQN?
A 20.48 cm2
B 25.00 cm2
C 24.31 cm2
D 37.99 cm2
6) Kim walked diagonally across a rectangular field that measured 100 feet by 240 feet.
Which expression could be used to determine how far
Kim walked?
A 2(100 + 240) B [pic]
C [pic] D [pic]
7) If the surface area of a cube is increased by a factor of 4, what is the change in the length of the sides of the cube?
A The length is 2 times the original length. B The length is 4 times the original length.
C The length is 6 times the original length. D The length is 8 times the original length.
8) A diagram of a power volume control knob on a stereo is shown below.
When the stereo is turned on and the knob is turned to a volume level of 5,
the knob is rotated 100° from its off position. What is the approximate arc length
of the path traveled by the knob’s rotation from the off position to a volume level of 5?
A 545 mm B 157 mm C 22 mm D 44 mm
9) The drama department at McHenry High School has built a stage floor in the
shape of a regular octagon. The length of each side of the octagon is 4 yards.
[pic] is the apothem. What is the approximate area of the stage floor?
[Area = [pic](apothem)(perimeter)]
A 57.9 yd2 B 76.8 yd2
C 115.9 yd2 D 154.5 yd2
10) The figure below shows a CD in its rectangular storage case.
Which is closest to the area of the storage case not occupied by the CD?
A 55 cm2
B 46 cm2
C 51 cm2
D 60 cm2
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