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Percent of Quantity - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=1, Mode=percentOf

Solve.
1.   What is 331/3 % of 45? 2.   Find 7% of 2000.

Complexity=1, Mode=percent

Solve.
1.   What percent is 24 of 600? % 2.   What percent is 253 of 460? %

Complexity=1, Mode=quantity

Solve.
1.   112 is 175% of what number? 2.   147 is 175% of what number?

Complexity=1

Solve.
1.   231 is 55% of what number? 2.   What percent is 133 of 140? %

Answers

Complexity=1, Mode=percentOf

Solve.
#ProblemCorrect AnswerYour Answer
1What is 331/3 % of 45?
Solution
Solve by converting the percent into a fraction.
331/3 % = 33
99		 =
1
3
331/3 % of 45 =
1
3
•  45 = 15
#ProblemCorrect AnswerYour Answer
2Find 7% of 2000.
Solution
Solve by converting the percent into a decimal.
7% = 0.07
7% of 2000 = (0.07)(2000) = 140

Alternate Solution
Solve by converting the percent into a fraction.
7% = 7
100		 =
7
100
7% of 2000 =
7
100
•  2000 = 140

Complexity=1, Mode=percent

Solve.
#ProblemCorrect AnswerYour Answer
1What percent is 24 of 600? %
Solution
Let p be the percent.
p
100		 = 24
600
600p = (24)(100)
p = 4
#ProblemCorrect AnswerYour Answer
2What percent is 253 of 460? %
Solution
Let p be the percent.
p
100		 = 253
460
460p = (253)(100)
p = 55

Complexity=1, Mode=quantity

Solve.
#ProblemCorrect AnswerYour Answer
1112 is 175% of what number?
Solution
Convert the percent to either a fraction or decimal and solve.
175% = 175
100		 = 1.75

Let n be the number.
=
175n = (112)(100)
n = 64
  OR  
1.75 =
n = =64
#ProblemCorrect AnswerYour Answer
2147 is 175% of what number?
Solution
Convert the percent to either a fraction or decimal and solve.
175% = 175
100		 = 1.75

Let n be the number.
=
175n = (147)(100)
n = 84
  OR  
1.75 =
n = =84

Complexity=1

Solve.
#ProblemCorrect AnswerYour Answer
1231 is 55% of what number?
Solution
Convert the percent to either a fraction or decimal and solve.
55% = 55
100		 = 0.55

Let n be the number.
=
55n = (231)(100)
n = 420
  OR  
0.55 =
n = =420
#ProblemCorrect AnswerYour Answer
2What percent is 133 of 140? %
Solution
Let p be the percent.
p
100		 = 133
140
140p = (133)(100)
p = 95
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