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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is a proficiency exam to the chapter "Measurement and Geometry." Each problem is accompanied with a reference link pointing back to the module that discusses the type of problem demonstrated in the question. The problems in this exam are accompanied by solutions.

Proficiency exam

( [link] ) The process of determining, by comparison to some standard, the size of something is called .

measurement

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For problems 2-9, make each conversion.

( [link] ) 14 yards to feet

42 feet

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( [link] ) 51 feet to inches

612 inches

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( [link] ) 1 3 size 12{ { {1} over {3} } } {} yard to feet

1 foot

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( [link] ) 2 1 4 size 12{2 { {1} over {4} } } {} minutes to seconds

135 seconds

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( [link] ) 5.8623 L to kL

0.0058623 kL

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( [link] ) 213.1062 mm to m

0.2132062 m

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( [link] ) 100,001 kL to mL

100,001,000,000 mL

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For problems 10-13, simplify each number.

( [link] ) 4216 lb

2 tons 216 pounds

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

( [link] ) Add 6 wk 3 da to 2 wk 2 da.

8 weeks 5 days

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( [link] ) Add 9 gal 3 qt to 4 gal 3 qt.

14 gallons 2 quarts

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( [link] ) Subtract 3 yd 2 ft 5 in. from 5 yd 8 ft 2 in.

2 yards 5 feet 9 inches

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( [link] ) Subtract 2 hr 50 min 12 sec from 3 hr 20 min 8 sec.

29 minutes 56 seconds

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( [link] ) Subtract the sum of 3 wk 6 da and 2 wk 3 da from 10 wk.

3 weeks 5 days

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

( [link] ) Approximate circumference
A circle with a radius of 14ft.

87.92 feet

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( [link] ) 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.

55.14 miles

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( [link] ) Approximate area
A circle of diameter 0.06cm.

6.002826 sq cm

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( [link] ) Approximate area
A half-circle with a radius of 2mi.

6.28 sq miles

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( [link] ) Exact area
A circle with a radius of 9.2in.

84.64 π sq in.

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( [link] ) Approximate volume
A cone with a radius of 2mm and a height of 6mm.

25.12 cu mm

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( [link] ) Exact volume
A cylinder with a diameter of 3.2ft and a height of 1.8ft.

4.608 π cu ft

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( [link] ) 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.

340.48 cu mm

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Questions & Answers

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Step 1: Find the mean. To find the mean, add up all the scores, then divide them by the number of scores. ... Step 2: Find each score's deviation from the mean. ... Step 3: Square each deviation from the mean. ... Step 4: Find the sum of squares. ... Step 5: Divide the sum of squares by n – 1 or N.
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The sample of 16 students is taken. The average age in the sample was 22 years with astandard deviation of 6 years. Construct a 95% confidence interval for the age of the population.
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Bhartdarshan' is an internet-based travel agency wherein customer can see videos of the cities they plant to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400 a. what is the probability of getting more than 12,000 hits? b. what is the probability of getting fewer than 9,000 hits?
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Bhartdarshan'is an internet-based travel agency wherein customer can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400. a. What is the probability of getting more than 12,000 hits
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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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