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Area and Volume Conversions Metric - 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=metric

Do the following conversions. Round to nearest tenth where necessary.
1.   1 cm2 = mm2 2.   10000 cm2 = m2

Complexity=5, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.
1.   2 m3 = cm3 2.   1 m2 = cm2

Complexity=10, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.
1.   900 mm2 = cm2 2.   10000000 m2 = km2

Answers

Complexity=1, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.
#Correct AnswerYour Answer
11 cm2 = mm2
Solution

1 cm2 ×
( 10 mm
1 cm 		)
2
 
 = 1 cm2 ×
100 mm2
1 cm2
= 100 mm2
#Correct AnswerYour Answer
210000 cm2 = m2
Solution

10000 cm2 ×
( 1 m
100 cm 		)
2
 
 = 10000 cm2 ×
1 m2
10,000 cm2
= 1 m2

Complexity=5, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.
#Correct AnswerYour Answer
12 m3 = cm3
Solution

2 m3 ×
( 100 cm
1 m 		)
3
 
 = 2 m3 ×
1,000,000 cm3
1 m3
= 2000000 cm3
#Correct AnswerYour Answer
21 m2 = cm2
Solution

1 m2 ×
( 100 cm
1 m 		)
2
 
 = 1 m2 ×
10,000 cm2
1 m2
= 10000 cm2

Complexity=10, Mode=metric

Do the following conversions. Round to nearest tenth where necessary.
#Correct AnswerYour Answer
1900 mm2 = cm2
Solution

900 mm2 ×
( 1 cm
10 mm 		)
2
 
 = 900 mm2 ×
1 cm2
100 mm2
= 9 cm2
#Correct AnswerYour Answer
210000000 m2 = km2
Solution

10000000 m2 ×
( 1 km
1000 m 		)
2
 
 = 10000000 m2 ×
1 km2
1,000,000 m2
= 10 km2
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