# PARCC Math Practice (Grade 5)

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## PARCC Math Practice

1.

Dario is making a birdhouse from a board that is [math]3/4[/math] of a meter long. He cuts [math]1/2[/math] meter off the board and uses the remaining piece for the base of the birdhouse. Dario subtracts [math]1/2[/math] from [math]3/4[/math] to find the length of the base. Dario said [math]3/4 - 1/2 = 2/4[/math] and plotted [math]2/4[/math] on this number line.

[math]*[/math] Explain why Dario's answer is not reasonable.

[math]*[/math] Find the total length of the birdhouse base, in meters.

[math]*[/math] Explain how to use the number line to show your answer is correct.

Enter your answer and explanations in the space provided.

[math]*[/math] Explain why Dario's answer is not reasonable.

[math]*[/math] Find the total length of the birdhouse base, in meters.

[math]*[/math] Explain how to use the number line to show your answer is correct.

Enter your answer and explanations in the space provided.

2.

In this right rectangular prism, each small cube measures 1 unit on each side.

[math]*[/math]What is the volume of the prism?

[math]*[/math]Explain how you found the volume. You may show your work in your explanation.

[math]*[/math]What could be the dimensions of a new right rectangular prism that has 16 fewer unit cubes than the original prism?

[math]*[/math]Explain how you determined the dimensions of the new right rectangular prism.

Enter your answers and your explanations in the space provided.

[math]*[/math]What is the volume of the prism?

[math]*[/math]Explain how you found the volume. You may show your work in your explanation.

[math]*[/math]What could be the dimensions of a new right rectangular prism that has 16 fewer unit cubes than the original prism?

[math]*[/math]Explain how you determined the dimensions of the new right rectangular prism.

Enter your answers and your explanations in the space provided.

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