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March 30, 2010
COMPOSITEFIGURES
GEOMETRICPROBABILITY
3D PARTS
S=V=
Anything Goes
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If the perimeter of the equilateral triangle shown below is 37 centimeters, what is the approximate area of the triangle?
A 33 cm2
B 54 cm2
C 66 cm2
D 132 cm2
What is…
C 66
If the area of the triangle is 83 square feet, which of the following best represents the area of the rectangle?
A 166 ft2
B 239 ft2
C 322 ft2
D 405 ft2
The figure below shows a triangle on top of a rectangle.
What is… C 322 ft2
The lengths of the bases of an isosceles trapezoid are shown below.
If the perimeter of this trapezoid is 32 units, what is its area?
A 44 square unitsB 55 square unitsC 88 square unitsD 110 square units
What is…A 44 square units
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.
What is the approximate area of the stage floor?
A 57.6 yd2
B 76.8 yd2
C 115.2 yd2
D 153.6 yd2
What is …
B 76.8 yd2
What is the area of Mr. Green’s garden that he will use for planting flowers?
A 42 ft2
B 30 ft2
C 39 ft2
D 24 ft2
The figure below shows the dimensions of a section of Mr. Green’s garden that he will use for planting flowers.
What is…
C 39 ft2?
Linda has divided her garden into 3 parts, as shown below.
What is the area of her garden?
A 1005 ft2
B 1230 ft2
C 1350 ft2
D 1470 ft2
What is…
A 1005 ft2
The horizontal and vertical distances between each of the pegs on the geoboard shown below represent 1 unit.
Which is closest to the area of the polygon modeled on the geoboard?
A 36 units2
B 29 units2
C 46 units2
D 24 units2
What is…
A 36 units2
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
The figure below shows a CD in its rectangular storage case.
What is…
A 55 cm2
The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon?
A 100 cmB 75 cmC 50 cmD 150 cm
What is …
A 100 cm
In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. What is the probability that the 2 sophomores are seated next to each other?
1
9
1
3
2
3
5
6A B
C D
What is …
C2
3
Marcos has a spinner with 12 equal sections colored either red or blue. If the spinner lands on blue 33 out of 50 spins, which is most likely the number of blue sections on the spinner?
A 4B 6C 8D 10
What is …
C 8
Over a 50-day period, a statistics professor recorded the data shown for the traffic lights he encountered each day while driving to work.
A 0.06B 0.10C 0.16D 0.32
What was the experimental probability of the professor encountering 3 or more green lights in a row on his way to work?
What is …
C 0.16
Which of these 3-dimensional figures has the following characteristics: 12 faces, 8 vertices, and 18 edges?
What is…
How many faces, edges, and vertices does the solid shown below have?
A 4 faces, 10 edges, and 7 verticesB 9 faces, 10 edges, and 8 verticesC 10 faces, 16 edges, and 9 verticesD 8 faces, 16 edges, and 9 vertices
What is…
D 8 faces, 16 edges, and 9 vertices
The illustration below shows a 3-dimensional view of a screw.
Which of the following best represents a front, a side, or a top view of this screw?
A B C D
What is… C
Which set of figures can be used to construct a representation of the surface area of the solid shown below?
A
B
C
D
What is…B
What is the volume of a similar rectangular box with dimensions that are 3.5 times larger than the dimensions of the rectangular box shown below?
A 5,880 in.3
B 17,836 in.3
C 20,580 in.3
D 1,680 in.3
What is…
C 20,580 in.3
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?
A 37 cm2
B 113 cm2
C 1,923 cm2
D 24,542 cm2
What is…
C 1,923 cm2
A cube-shaped piece of playground equipment has a cylindrical portion removed, as shown in the diagram. The diameter of the opening is 5 feet.What is the approximate volume of the
remaining portion of the cube?
A 255 ft3
B 122 ft3
C 98 ft3
D 28 ft3
What is…C 98 ft3
Mrs. Wong has a bookcase shaped like an isosceles trapezoid. The height of the bookcase is approximately 150 centimeters. The other dimensions are shown below.
A 11,000 cm2
B 22,000 cm2
C 36,000 cm2
D 9,000 cm2
Which of the following is closest to the surface area of the top, left, and right rectangular sides of Mrs. Wong’s bookcase?
The diagram below shows the top view of a structure built with identical cubes, as well as the number of cubes in each column of the structure.Which 3-dimensional view best represents the same structure?
A B
C D
What is…
A 11,000 cm2
What is…
B
The polygon RSTU is shown below.Which expression represents the area of
this polygon?
A 4n2
B 4nC 2nD n2
What is… D n2
If the dimensions of a rectangle are doubled, which of the following best describes an effect on the rectangle?
A The new area will be 2 times as large as the original area.
B The new area will be 8 times as large as the original area.
C The new perimeter will be 4 times as large as the original perimeter.
D The new perimeter will be 2 times as large as the original perimeter.
What is …
D The new perimeter will be 2 times as large as the original perimeter.
A company plans to design a new version of its Millennium Doll that will be larger than the old version. The figure below shows the dimensions of the box for the old version of the doll.
A 496 in.2
B 696 in.2
C 992 in.2
D 1920 in.2
If all the dimensions of the box are increased by 2 inches for the new doll, what will be the total surface area of the new box?
What is B 696 in.2
Travis High School Song
Rebels TrueRebels True
Hail to thee, Oh Travis HighRedRed and graygray our banners
fly;Built of spirit that we love
Alma mater high aboveHonor to thy name we bringSongs of praise forever sing;
Faithful always unto you,We’re RebelsRebels, Rebels trueRebels true.
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