Math C056
Exam 1
Fall Semester 2009
1. Perform the following operation. (Unit Exercise and Problem Review, #82, page 26)
2. The figure below shows the front view of a wooden counter that is to be built for a
clothing store. All pieces of the counter except the top and back are to be made of the
same thickness and width of lumber. How many total feet (1 foot = 12 inches) of
lumber should be ordered for this job? Do not include the top or back. Allow 6
inches for waste. (Unit Exercise and Problem Review, #88, page 28)
3. The formula called Young’s Rule is used in the health field to determine a child’s
dose of medicine.
Child’s dose = (age of child) ÷ (age of child + 12) × average adult dose
What dose (number of milligrams) of morphine sulfate should be given to a 3-yearold child if the adult dose is 10 milligrams? (Unit Exercise and Problem Review,
#92, page 29)
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5
1 7
1
19
6 Express your answer in lowest terms. (Unit Exercise
24
2 8
6
and Problem Review, #36, page 70)
4. Add. 81
7
Express your answer in lowest terms. (Unit Exercise and Problem
32
Review, #46, page 71)
5. Subtract. 21
6. Simplify.
Express you answer in lowest terms. (Unit Exercise
and Problem Review, #76, page 72)
7. Multiply.
Round the product to 3 decimal places. (Unit
Exercise and Problem Review, #54, page 119)
8. Divide.
Round the quotient to 5 decimal places. (Unit Exercise and
Problem Review, #78, page 119)
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9. An inspector checks a 60o groove that has been machined in the fixture shown below.
The groove is checked by placing a pin in the groove and measuring the distance (H)
between the top of the fixture and the top of the pin. Find H to the nearest thousandth
of an inch. All dimensions are in inches. (Unit Exercise and Problem Review, #148,
page 123)
H = 1.5 × D – 0.866 × W
10. Solve for T. Round to two decimal places.
Review, #20, page 143)
Page 3 of 11
(Unit Exercise and Problem
11. The tool feed (F) in inches per revolution, of a lathe may be computed from this
formula.
Compute F to 3 decimal places by using the following table. (Unit Exercise and
Problem Review, #26, page 144)
T
(min)
L
(in)
N
(r/min)
a.
4.8
20
2,100
b.
12.5
37
610
c.
3
8
335
d.
5.2
17
1,200
F
(in/r)
12. A piece of lumber 2.8 meters long weighs 24.5 kilograms. A piece 0.8 meter long is
cut from the 2.8-meter length. Determine the weight of the 0.8-meter piece. (Unit
Exercise and Problem Review, #28, page 144)
Page 4 of 11
13. Find this percentage. Round to two decimal places. 10
1
1
% of 92 (Unit Exercise
10
5
and Problem Review, #35, page 160)
14. 9.3 is 238.6% of what number? Round to two decimal places. (Unit Exercise and
Problem Review, #52, page 161)
15. A piece of machinery is purchased for $8,792. In one year, the machine depreciates
14.5%. By how many dollars does the machine depreciate in one year? Round the
answer to the nearest dollar. (Unit Exercise and Problem Review, #84, page 162)
16. Add. Express your answer in lowest fractional or mixed number terms. (Unit
Exercise and Problem Review, #26, page 192)
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17. Multiply. Express your answer in lowest fractional or mixed number terms. (Unit
Exercise and Problem Review, #31, page 145)
18. Determine
Express your answer as the exact decimal equivalent. (Unit
Exercise and Problem Review, #63, page 192)
19. Determine
. Express your answer as the exact decimal equivalent. (Unit
Exercise and Problem Review, #74, page 192)
20. Solve this combined operation problem.
and Problem Review, #80, page 193)
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(Unit Exercise
21. Rewrite this number in scientific notation. 0.00039 (Unit Exercise and Problem
Review, #95, page 194)
22. Solve the following scientific notation expression.
Express your answer in scientific notation. (Unit Exercise and Problem Review,
#100, page 194)
23. Divide.
Express your answer in scientific notation. (Unit
Exercise and Problem Review, #107, page 195)
24. Rewrite this number in engineering notation. 1,850,000 (Unit Exercise and Problem
Review, #94, page 194)
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25. Rewrite 43.2 × 103 in decimal form. (Unit Exercise and Problem Review, #110, page
195)
26. For 6.1088 in., find:
i.
The degree of precision.
ii.
The range.
(Unit Exercise and Problem Review, #8, page 210)
27. Add. 16 in + 6.93 in + 18.0 in. Round your answer to the degree of precision of the
least precise number. (Unit Exercise and Problem Review, #15, page 210)
28. Determine the number of significant digits for 89,100 (Unit Exercise and Problem
Review, #8, page 237)
1
29. Perform this operation. 6 ft 8 in 3 . Express the answer in the given units. (Unit
2
Exercise and Problem Review, #22, page 210)
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30. Which number is the most accurate? 3.00006; 2.070; 9.001 (Unit Exercise and
Problem Review, #31, page 210)
31. Divide. 30,000 ÷ 127.8 ÷ 86.07 Round your answer to the same number of
significant digits as the least accurate number. (Unit Exercise and Problem Review,
#38, page 210)
32. Compute the absolute error and relative error of each of the values in the following
table. (Unit Exercise and Problem Review, #44, 45, and 46, page 210)
Actual or
True Value
Measured
Value
107 ohms
99 ohms
0.8639 cm
0.8634 cm
71.3 ft
70.6 ft
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Absolute
Error
Relative
Error
33. Refer to the following diagram to determine the missing values in the table below.
(Unit Exercise and Problem Review, #55, 56, and 57, page 211)
DIA A
DIA B
DIA A
DIA B
DIA A
DIA B
34. Express 5
Basic
Dimension
(inches)
1.7120
1.7136
0.2962
0.2970
2.8064
2.8075
Maximum
Diameter
(inches)
Minimum
Diameter
(inches)
Maximum
Clearance
(inches)
Minimum
Clearance
(inches)
1
yards as feet and inches. (Unit Exercise and Problem Review, #10, page
2
237)
1
35. Perform this operation. 6 ft 8 in 3 Express your answer in feet and inches. (Unit
2
Exercise and Problem Review, #20, page 237)
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36. Express 2,480 acres as square miles. Round your answer to the same number of
significant digits as in the original quantity. (Unit Exercise and Problem Review,
#28, page 237)
37. Express 19.80 cubic feet as cubic yards. Round your answer to the same number of
significant digits as the original quantity. (Unit Exercise and Problem Review, #40,
page 237)
38. Express 84 cubic feet as gallons. Round your answer to the same number of
significant digits as the original quantity. (Unit Exercise and Problem Review, #48,
page 238)
39. Express 7,800 pounds as short tons. Round your answer to the same number of
significant digits as the original quantity. (Unit Exercise and Problem Review, #54,
page 238)
40. Express $3.81/gallon as cents/pint. Round your answer to the same number of
significant digits as the original quantity. (Unit Exercise and Problem Review, #62,
page 238)
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