9.8: Proficiency Exam

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Exercise $\PageIndex{1}$

The process of determining, by comparison to some standard, the size of something is called .

Answer: measurement

For problems 2-9, make each conversion.

Exercise $\PageIndex{2}$

14 yards to feet

Answer: 42 feet

Exercise $\PageIndex{3}$

51 feet to inches

Answer: 612 inches

Exercise $\PageIndex{4}$

$\dfrac{1}{3}$ yard to feet

Answer: 1 foot

Exercise $\PageIndex{5}$

$2 \dfrac{1}{4}$ minutes to seconds

Answer: 135 seconds

Exercise $\PageIndex{6}$

8,500 mg to cg

Answer: 850 cg

Exercise $\PageIndex{7}$

5.8623 L to kL

Answer: 0.0058623 kL

Exercise $\PageIndex{8}$

213.1062 mm to m

Answer: 0.2132062 m

Exercise $\PageIndex{9}$

100,001 kL to mL

Answer: 100,001,000,000 mL

For problems 10-13, simplify each number.

Exercise $\PageIndex{10}$

23 da

Answer: 3 weeks 2 days

Exercise $\PageIndex{11}$

88 ft

Answer: 29 yards 1 foot

Exercise $\PageIndex{12}$

4216 lb

Answer: 2 tons 216 pounds

Exercise $\PageIndex{13}$

7 qt

Answer: 1 gallon 3 quarts

For problems 14-18, perform the indicated operations. Simplify answers if possible.

Exercise $\PageIndex{14}$

Add 6 wk 3 da to 2 wk 2 da.

Answer: 8 weeks 5 days

Exercise $\PageIndex{15}$

Add 9 gal 3 qt to 4 gal 3 qt.

Answer: 14 gallons 2 quarts

Exercise $\PageIndex{16}$

Subtract 3 yd 2 ft 5 in. from 5 yd 8 ft 2 in.

Answer: 2 yards 5 feet 9 inches

Exercise $\PageIndex{17}$

Subtract 2 hr 50 min 12 sec from 3 hr 20 min 8 sec.

Answer: 29 minutes 56 seconds

Exercise $\PageIndex{18}$

Subtract the sum of 3 wk 6 da and 2 wk 3 da from 10 wk.

Answer: 3 weeks 5 days

For problems 19-30, find either the perimeter, circumference, area, or volume.

Exercise $\PageIndex{19}$

Perimeter

$A rectangle with base 8.61m and height 8.61m.$

Answer: 34.44 m

Exercise $\PageIndex{20}$

Perimeter

$A trapezoid with sides of the following lenths: 15.1mm, 7.9mm, 7.2mm, and 5.8mm.$

Answer: 36 mm

Exercise $\PageIndex{21}$

Approximate circumference

$A circle with a radius of 14ft.$

Answer: 87.92 feet

Exercise $\PageIndex{22}$

Approximate perimeter

$A rectangle with a half-circle cut out of the center of the top of the shape. The circular cutout has a radius of 1mi. The height of the rectangle is 15mi. The width of the rectangle is 12mi.$

Answer: 55.14 miles

Exercise $\PageIndex{23}$

Area

$A rectangle with a width of 2.5in and a height of 1.5in.$

Answer: 3.75 sq in.

Exercise $\PageIndex{24}$

Approximate area

$A circle of diameter 0.06cm.$

Answer: 6.002826 sq cm

Exercise $\PageIndex{25}$

Approximate area

$A half-circle with a radius of 2mi.$

Answer: 6.28 sq miles

Exercise $\PageIndex{26}$

Area

$A trapezoid, with a bottom base of 9 in, a top base of 4 in, and a height of 2 in.$

Answer: 13 sq in.

Exercise $\PageIndex{27}$

Exact area

$A circle with a radius of 9.2in.$

Answer: 84.64$\pi$ sq in.

Exercise $\PageIndex{28}$

Approximate volume

$A cone with a radius of 2mm and a height of 6mm.$

Answer: 25.12 cu mm

Exercise $\PageIndex{29}$

Exact volume

$A cylinder with a diameter of 3.2ft and a height of 1.8ft.$

Answer: 4.608$\pi$ cu ft

Exercise $\PageIndex{30}$

Approximate volume

$A rectangular solid with a cylinder sitting on top of it. The cylinder's height is 8mm, and its radius is 2mm. The rectangular prism's height is 3mm, its length is 8mm, and its width is 10mm.$

Answer: 340.48 cu mm