9.8: Proficiency Exam
- Page ID
- 53062
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)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
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42 feet
Exercise \(\PageIndex{3}\)
51 feet to inches
- Answer
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612 inches
Exercise \(\PageIndex{4}\)
\(\dfrac{1}{3}\) yard to feet
- Answer
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1 foot
Exercise \(\PageIndex{5}\)
\(2 \dfrac{1}{4}\) minutes to seconds
- Answer
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135 seconds
Exercise \(\PageIndex{6}\)
8,500 mg to cg
- Answer
-
850 cg
Exercise \(\PageIndex{7}\)
5.8623 L to kL
- Answer
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0.0058623 kL
Exercise \(\PageIndex{8}\)
213.1062 mm to m
- Answer
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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
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2 tons 216 pounds
Exercise \(\PageIndex{13}\)
7 qt
- Answer
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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
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8 weeks 5 days
Exercise \(\PageIndex{15}\)
Add 9 gal 3 qt to 4 gal 3 qt.
- Answer
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14 gallons 2 quarts
Exercise \(\PageIndex{16}\)
Subtract 3 yd 2 ft 5 in. from 5 yd 8 ft 2 in.
- Answer
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2 yards 5 feet 9 inches
Exercise \(\PageIndex{17}\)
Subtract 2 hr 50 min 12 sec from 3 hr 20 min 8 sec.
- Answer
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29 minutes 56 seconds
Exercise \(\PageIndex{18}\)
Subtract the sum of 3 wk 6 da and 2 wk 3 da from 10 wk.
- Answer
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3 weeks 5 days
For problems 19-30, find either the perimeter, circumference, area, or volume.
Exercise \(\PageIndex{19}\)
Perimeter
- Answer
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34.44 m
Exercise \(\PageIndex{20}\)
Perimeter
- Answer
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36 mm
Exercise \(\PageIndex{21}\)
Approximate circumference
- Answer
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87.92 feet
Exercise \(\PageIndex{22}\)
Approximate perimeter
- Answer
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55.14 miles
Exercise \(\PageIndex{23}\)
Area
- Answer
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3.75 sq in.
Exercise \(\PageIndex{24}\)
Approximate area
- Answer
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6.002826 sq cm
Exercise \(\PageIndex{25}\)
Approximate area
- Answer
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6.28 sq miles
Exercise \(\PageIndex{26}\)
Area
- Answer
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13 sq in.
Exercise \(\PageIndex{27}\)
Exact area
- Answer
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84.64\(\pi\) sq in.
Exercise \(\PageIndex{28}\)
Approximate volume
- Answer
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25.12 cu mm
Exercise \(\PageIndex{29}\)
Exact volume
- Answer
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4.608\(\pi\) cu ft
Exercise \(\PageIndex{30}\)
Approximate volume
- Answer
-
340.48 cu mm