5th Grade - Geometric Reasoning

**Escape ****from ****Math ****Manor**

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You'll have to crack the code to escape from Math Manor!

Solve each problem. Then, use the answer to unlock the next question. Make sure you use all lowercase letters!

When you're ready, use the password manor to unlock door 1.

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Quadrilaterals can share some of the same angle and side properties.

In the table below, select the property that is shared by the pair of quadrilaterals in each column.

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*Type your answer choices in alphabetical order to unlock the next question.

Room 1

John draws a Venn diagram to classify different shapes.

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*Type your answer choices in alphabetical order to unlock the next question.

Fill in the circles to match the shape to the correct region on the Venn diagram.

Room 2

Mr. Johnson drove his car for 1 hour to get to a park from his home. Then he rode his bike along the bike trails. The start and finish points of his bike trip are represented on the coordinate plane.

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Room 3

Which statement is true about Mr. Johnson's trip?

a. He traveled 40 miles on his bike.

b. He traveled 70 miles on his bike.

c. His bike ride lasted 5 hours.

d. His bike ride lasted 4 hours.

Which figure does not have triangular faces?

Choose all that apply.

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a. pyramid

b. cylinder

c. cube

d. sphere

e. cone

Room 4

What are the coordinates of point F?

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a. (1, 1)

b. (7, 6)

c. (8, 4)

d. (6, 7)

Room 5

Point C is 6 units away from the origin in the direction of the x-axis, and 4 units away from the origin in the direction of the y-axis.

What could be the coordinates of point C?

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a. (4, 6)

b. (6 ,0)

c. (6, 4)

d. (10, 10)

Room 6

Which represents the perimeter of the rectangular top of a pool table with a width of 177.8 centimeters and length of 356.9 centimeters? Choose all that apply.

a. (2 × 177.8) + (2 × 356.9)

b. 1,066.4

c. 177.8 + 356.9

d. 1069.4

e. 177.8 + 177.8 + 356.9 + 356.9

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Room 7

Trevor and Rita are walking around their neighborhood. The points on the coordinate grid represent locations in their neighborhood.

Complete the statements about Trevor and Rita. For each blank, fill in the circle before the phrase that is correct.

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Trevor walked from one location to another by traveling 2 units right and 3 units down. Trevor traveled from the

Rita traveled 1 unit left and 3 units up. She ended at the grocery store. The ordered pair that describes where she started is

Room 8

Kelly made four rectangular prisms using unit cubes. The numbers of unit cubes he used are shown in the table.

Fill in the circles to match each figure to the number of unit cubes used.

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Room 9

David uses the coordinate plane to design his model town layout, as shown at the right.

David moves the library 3 units left and 2 units down to make a new town layout.

Which statements about his new town layout are true? Select all the correct answers.

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Room 10

a. The new location of the library is (1, 7).

b. The new location of the library is (1, 3).

c. The new location of the library is 3 units away from the school.

d. You can move from the new location of the library to the grocery store by going 4 units up and 6 units right.

e. The new location of the library is farther away from the origin than the old location.

A platform is made of 2 rectangular prisms.

How many cubic meters larger is the volume of the bottom prism?

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Room 11

Andre and Molly have a tree fort that consists of two rectangular rooms. The upper level has a length of 5 feet, a width of 3 feet, and a height of 6 feet. The lower level has a length of 6 feet, a width of 5 feet, and a height of 8 feet.

What is the combined volume, in cubic feet, of the two levels of the tree fort?

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Room 12

Congratulations!

You unlocked all the doors and made it out of Math Manor!

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