Math Practice Problems - Pythagorean Theorem

Pythagorean Theorem - 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=3

Find the value of 'x' using the Pythagorean Theorem.

#	Problem	Correct Answer	Your Answer
1		x =
Solution a² + b² = c² where c is the hypotenuse (the side opposite the right angle) c² = 5² + 12² c² = 25 + 144 c² = 169 c = 13

#	Problem	Correct Answer	Your Answer
2		x =
Solution a² + b² = c² where c is the hypotenuse (the side opposite the right angle) a² = c² - b² a² = 10² - 8² a² = 100 - 64 a² = 36 a = 6

Complexity=5

Find the value of 'x' using the Pythagorean Theorem.

#	Problem	Correct Answer	Your Answer
1		x =
Solution a² + b² = c² where c is the hypotenuse (the side opposite the right angle) a² = c² - b² a² = 13² - 5² a² = 169 - 25 a² = 144 a = 12

#	Problem	Correct Answer	Your Answer
2		x =
Solution a² + b² = c² where c is the hypotenuse (the side opposite the right angle) a² = c² - b² a² = 5² - 3² a² = 25 - 9 a² = 16 a = 4

Complexity=8

Find the value of 'x' using the Pythagorean Theorem.

#	Problem	Correct Answer	Your Answer
1		x =
Solution a² + b² = c² where c is the hypotenuse (the side opposite the right angle) c² = 16² + 63² c² = 256 + 3969 c² = 4225 c = 65

#	Problem	Correct Answer	Your Answer
2		x =
Solution a² + b² = c² where c is the hypotenuse (the side opposite the right angle) a² = c² - b² a² = 65² - 56² a² = 4225 - 3136 a² = 1089 a = 33

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