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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 following with the correct percentage increase or decrease to the nearest whole percent.

1.   366 is % greater than 200
2.   189 is % greater than 150

Complexity=50, Mode=decrease

Fill in the following with the correct percentage increase or decrease to the nearest whole percent.

1.   289 is % smaller than 425
2.   198 is % smaller than 200

Complexity=100

Fill in the following with the correct percentage increase or decrease to the nearest whole percent.

1.   101 is % greater than 44
2.   86 is % greater than 69

Answers

Complexity=25, Mode=increase

Fill in the following 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
2189 is % greater than 150
Solution
% change = (new number - original number) / (original number) × 100
% change = (189 - 150) / 150 × 100
% change = 39 / 150 × 100
% change = 26%

Complexity=50, Mode=decrease

Fill in the following with the correct percentage increase or decrease to the nearest whole percent.

#Correct AnswerYour Answer
1289 is % smaller than 425
Solution
% change = (new number - original number) / (original number) × 100
% change = (289 - 425) / 425 × 100
% change = -136 / 425 × 100
% change = -32%
#Correct AnswerYour Answer
2198 is % smaller than 200
Solution
% change = (new number - original number) / (original number) × 100
% change = (198 - 200) / 200 × 100
% change = -2 / 200 × 100
% change = -1%

Complexity=100

Fill in the following with the correct percentage increase or decrease to the nearest whole percent.

#Correct AnswerYour Answer
1101 is % greater than 44
Solution
% change = (new number - original number) / (original number) × 100
% change = (101 - 44) / 44 × 100
% change = 57 / 44 × 100
% change = 130%
#Correct AnswerYour Answer
286 is % greater than 69
Solution
% change = (new number - original number) / (original number) × 100
% change = (86 - 69) / 69 × 100
% change = 17 / 69 × 100
% change = 25%
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