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Percentage Change - 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=25, Mode=increase

Fill in the follwoing with the correct percentage increase or decrease to the nearest whole percent.
1.   366 is % greater than 200 2.   308 is % greater than 175

Complexity=50, Mode=decrease

Fill in the follwoing with the correct percentage increase or decrease to the nearest whole percent.
1.   468 is % smaller than 600 2.   208 is % smaller than 320

Complexity=100

Fill in the follwoing with the correct percentage increase or decrease to the nearest whole percent.
1.   109 is % greater than 62 2.   134 is % greater than 55

Answers

Complexity=25, Mode=increase

Fill in the follwoing with the correct percentage increase or decrease to the nearest whole percent.
#Correct AnswerYour Answer
1366 is % greater than 200
Solution
% change = (new number - original number) / (original number) × 100
% change = (366 - 200) / 200 × 100
% change = 166 / 200 × 100
% change = 83%
#Correct AnswerYour Answer
2308 is % greater than 175
Solution
% change = (new number - original number) / (original number) × 100
% change = (308 - 175) / 175 × 100
% change = 133 / 175 × 100
% change = 76%

Complexity=50, Mode=decrease

Fill in the follwoing with the correct percentage increase or decrease to the nearest whole percent.
#Correct AnswerYour Answer
1468 is % smaller than 600
Solution
% change = (new number - original number) / (original number) × 100
% change = (468 - 600) / 600 × 100
% change = -132 / 600 × 100
% change = -22%
#Correct AnswerYour Answer
2208 is % smaller than 320
Solution
% change = (new number - original number) / (original number) × 100
% change = (208 - 320) / 320 × 100
% change = -112 / 320 × 100
% change = -35%

Complexity=100

Fill in the follwoing with the correct percentage increase or decrease to the nearest whole percent.
#Correct AnswerYour Answer
1109 is % greater than 62
Solution
% change = (new number - original number) / (original number) × 100
% change = (109 - 62) / 62 × 100
% change = 47 / 62 × 100
% change = 76%
#Correct AnswerYour Answer
2134 is % greater than 55
Solution
% change = (new number - original number) / (original number) × 100
% change = (134 - 55) / 55 × 100
% change = 79 / 55 × 100
% change = 144%
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