Objective 4: Measurement

2003 #23:

For small paving jobs, a contractor uses a roller pushed by a worker.

To the nearest square inch, what is the area of pavement with which the surface of the roller will come into contact in one complete rotation?

A 753 in.2

B* 1,507 in.2

C 1,708 in.2

D 1,909 in.2

2004 #13:

Mrs. Juárez has a cylindrical pincushion with the net shown below. Use the ruler on the

Mathematics Chart to measure the dimensions of the net in centimeters.

Which is closest to the lateral surface area of

the cylindrical pincushion?

A 3.0 cm2

B 6.3 cm2

C 9.4 cm2

D* 12.6 cm2

2006 #22

Moffett’s Candy Factory makes candy in the shape of cylinders. The net of a cylindrical piece of candy is shown below.

Which is closest to the total surface area of this piece of candy?

F 31 cm²

G 19 cm²

H*44 cm²

J 75 cm²

2003 #28:

A cardboard box is 60 inches long, 18 incheswide, and 24 inches high. Which is closest tothe volume of the box in cubic feet?

F 8.5 ft3

G* 15 ft3

H 18 ft3

J 24 ft3

2004 #33:

Jonathan shipped a birthday gift to his grandmother in a cubical box.

Which is closest to the surface area of the box?

A 16 square feet

B 15 square feet

C 8 square feet

D* 38 square feet

2006 #2

Deb has a rectangular storage box with a height of 18 inches, as shown below.

If Deb cuts off a 2-inch strip around the top of the box, what will be the new volume of the box in cubicinches?

F*1,600 in³

G ,440 in³

H 1,024 in³

J 1,800 in³

2003 #19:

A cell-phone tower that has a transmission range of 50 miles is located 40 miles due southof a straight road.

Find x, the length of the section of road that is within the transmission range of the tower.

A 10 mi

B 30 mi

C* 60 mi

D 90 mi

2004 #17:

Mr. Elliott designed a flower garden in the shape of a square. He plans to build a

walkway through the garden, as shown below.

Which is closest to the length of the walkway?

A 36 ft

B 24 ft

C* 17 ft

D 13 ft

2006 #33

Mrs. Gonzáles wants to string lights along both diagonals of a rectangular window, as

shown below.

What is the minimum length of lightsMrs. Gonzáles will need?

A 5 ft

B 7 ft

C*10 ft

D 14 ft

2006 #45

A ladder that is 13 feet long leans against a building. The bottom of the ladder is 5 feet

away from the base of the building. How far up the side of the building does the ladder

reach?

A 18 ft

B 16 ft

C*12 ft

D 8 ft

2003 #7:

∆EFG is similar to ∆HJK.

Find the length of .

A 3 units

B* 7 units

C 14 units

D 24.5 units

2004 #36:

Trapezoid STUV is similar to trapezoid NOPQ.

What is the length of?

F 4 centimeters

G* 5 centimeters

H 28 centimeters

J 36 centimeters

2006 #17

The picture below is Larry’s favorite picture. Larry had a reduced copy of the picture made as a gift for his father.

If the reduced picture was similarto the original and the height of the reduced picture was 7 inches, what was its width?

A 13 in.

B 5.60 in.

C*8.75 in.

D 10 in.

2004 #28:

Rectangle STUV is similar to rectangle LMNO.

If the area of rectangle STUV is 72 square units, what is the area of rectangle LMNO?

F 36 units2

G 24 units2

H* 18 units2

J 12 units2

2003 #38:

The dimensions of two cubes are shown below.

The volume of the smaller cube is 64 cubic feet. Find the volume of the larger cube.

F 16,384 ft3

G* 4,096 ft3

H 768 ft3

J 256 ft3

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