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Proficiency Exam

Module by: Wade Ellis, Denny Burzynski. E-mail the authorsEdited By: Math Editors

Summary: 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

Exercise 1

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

Solution

measurement

For problems 2-9, make each conversion.

Exercise 2

((Reference)) 14 yards to feet

Solution

42 feet

Exercise 3

((Reference)) 51 feet to inches

Solution

612 inches

Exercise 4

((Reference)) 1313 size 12{ { {1} over {3} } } {} yard to feet

Solution

1 foot

Exercise 5

((Reference)) 214214 size 12{2 { {1} over {4} } } {} minutes to seconds

Solution

135 seconds

Exercise 6

((Reference)) 8,500 mg to cg

Solution

850 cg

Exercise 7

((Reference)) 5.8623 L to kL

Solution

0.0058623 kL

Exercise 8

((Reference)) 213.1062 mm to m

Solution

0.2132062 m

Exercise 9

((Reference)) 100,001 kL to mL

Solution

100,001,000,000 mL

For problems 10-13, simplify each number.

Exercise 10

((Reference)) 23 da

Solution

3 weeks 2 days

Exercise 11

((Reference)) 88 ft

Solution

29 yards 1 foot

Exercise 12

((Reference)) 4216 lb

Solution

2 tons 216 pounds

Exercise 13

((Reference)) 7 qt

Solution

1 gallon 3 quarts

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

Exercise 14

((Reference)) Add 6 wk 3 da to 2 wk 2 da.

Solution

8 weeks 5 days

Exercise 15

((Reference)) Add 9 gal 3 qt to 4 gal 3 qt.

Solution

14 gallons 2 quarts

Exercise 16

((Reference)) Subtract 3 yd 2 ft 5 in. from 5 yd 8 ft 2 in.

Solution

2 yards 5 feet 9 inches

Exercise 17

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

Solution

29 minutes 56 seconds

Exercise 18

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

Solution

3 weeks 5 days

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

Exercise 19

((Reference)) Perimeter
A rectangle with base 8.61m and height 8.61m.

Solution

34.44 m

Exercise 20

((Reference)) Perimeter
 A trapezoid with sides of the following lenths: 15.1mm, 7.9mm, 7.2mm, and 5.8mm.

Solution

36 mm

Exercise 21

((Reference)) Approximate circumference
 A circle with a radius of 14ft.

Solution

87.92 feet

Exercise 22

((Reference)) 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.

Solution

55.14 miles

Exercise 23

((Reference)) Area
 A rectangle with a width of 2.5in and a height of 1.5in.

Solution

3.75 sq in.

Exercise 24

((Reference)) Approximate area
 A circle of diameter 0.06cm.

Solution

6.002826 sq cm

Exercise 25

((Reference)) Approximate area
 A half-circle with a radius of 2mi.

Solution

6.28 sq miles

Exercise 26

((Reference)) Area
A trapezoid, with a bottom base of 9 in, a top base of 4 in, and a height of 2 in.

Solution

13 sq in.

Exercise 27

((Reference)) Exact area
 A circle with a radius of 9.2in.

Solution

84.64 π π sq in.

Exercise 28

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

Solution

25.12 cu mm

Exercise 29

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

Solution

4.608 π π cu ft

Exercise 30

((Reference)) 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.

Solution

340.48 cu mm

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