Basic Math Skills Review
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Percents
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Percent
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• Percent (from per centum) means per
hundred or divide by one hundred. The
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“%” sign is used to show the number of
parts per one hundred parts.
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• There is a relationship among decimals,
fractions and percents. The percent sign is
equivalent to the following:
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% 0.01
100
Fraction/Decimal Conversions
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Changing a fraction to a decimal
Divide the numerator by the denominator.
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0.375
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8 3.000
8
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Changing a decimal to a fraction
Drop decimal and divide by the highest place value.
Simplify, if possible.
375 3
0.375
1000 8
Decimal/Percent Conversions
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Changing decimal to percent
Multiply by 100 and attach percent sign.
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It’s the same as moving the decimal 2
places to the right. 0.375 = 37.5%
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Changing from percent to decimal
Divide by 100. It’s the same as moving the
decimal 2 places to the left. 38% = 0.38
Percent/Fraction Conversions
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Changing percent to fraction
Drop % sign and divide by 100. Simplify if
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possible. 75 3
75%
100 4
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Changing from a fraction to a percent
Multiply by 100 and attach a % symbol.
3 3 100
75%
4 4 1
Finding Percentage of a Quantity
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Percentage = Percent x Whole Quantity
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To find a percentage or part of a whole quantity:
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1) Change the percent to a decimal, and
2) Multiply the decimal by the whole quanity.
Percentage Example
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A patient reports that he drank 75% of his
eight ounce cup of coffee. How much
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coffee did he drink?
1) Change 75% to a decimal: 75% → 0.75
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2) Multiply 0.75 x 8 ounces to get 6
ounces.
Word Problems
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• “is” means equals
• “of” means multiply
• “what” is the unknown whole quantity.
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1) What is 20% of 75?
2) Ten is what percent of 15?
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X = 0.20 x 75
10 = p x 15
More Word Problems
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3) Table salt (NaCl) is 40% sodium by
weight. If a box of salt weighs 18 ounces,
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how much sodium is in the box of salt?
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4) A student’s tuition bill is $17,651. Her
financial aid pays 80%. How much will the
student owe?
More Word Problems
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5) If 1 roll of tape costs $0.69, how much do 3½
rolls costs? (Round to the nearest cent)
6) If 1 centimeter equals ⅜ inch, how many
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centimeters is a nail that measures 3 inches?
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7) You work in a health care clinic where each
employee must work 25% of 8 major holidays.
How many holidays will you expect to work?
Word Problem Answers
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1) 15
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2) 66 %
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3)
4)
7.2
$3530.20 1
5)
6)
7)
$2.42
8 cm
2 holidays
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NOVA Math Placement Test
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•The Math Placement test is given in the Testing Center.
•There is a review book for the placement exam in the
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Annandale Library. (CG 3rd Floor)
•It’s called Chart Your Success on the Compass Exam.
•Brush-up on current skills, go through what you know.
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•Don’t try to teach yourself anything that you do not know.
•Use the list of suggested websites to help you review.
•Neither the Math Center nor the Tutoring Center will help
you study for the exam.