1. If one side of a regular hexagon is 2 inches, what is the perimeter of the hexagon?

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1 Geometry Grade 4 1. If one side of a regular hexagon is 2 inches, what is the perimeter of the hexagon? 2. If your room is twelve feet wide and twenty feet long, what is the perimeter of your room? 3. If you are trying to cover all of your rectangular kitchen in tiles, and each tile is 12 inches by 12 inches, how many tiles will you have to use to completely cover the kitchen? The kitchen has dimensions of 8 feet by feet. 4. If I am standing facing west, I turn 90 degrees clockwise, then turn 180 degrees clockwise, and finally turn 90 degrees counterclockwise, what direction will I be facing? 5. What is the volume of a rectangular prism whose dimensions are 3 feet by 2 feet by 9 feet? 6. How many lines of symmetry does a square have? 7. How many triangles of any size are in the figure below? 8. The area of the square below is 36 square units. If the square were to be cut in half through the middle as shown below and separated from the other half, what would be the perimeter of one of the resulting rectangles? 9. How many diagonals can be drawn in a regular pentagon?. What is the area of the trapezoid below?

2 Geometry Grade 5 1. If you are trying to cover all of your rectangular kitchen in tiles, and each tile is 12 inches by 12 inches, how many tiles will you have to use to completely cover the kitchen? The kitchen has dimensions of 8 feet by feet. 2. If I am standing facing west, I turn 90 degrees clockwise, then turn 180 degrees clockwise, and finally turn 90 degrees counterclockwise, what direction will I be facing? 3. What is the volume of a rectangular prism whose dimensions are 3 feet by 2 feet by 9 feet? 4. How many lines of symmetry does a square have? 5. How many triangles of any size are in the figure below? 6. The area of the square below is 36 square units. If the square were to be cut in half through the middle as shown below and separated from the other half, what would be the perimeter of one of the resulting rectangles? 7. How many diagonals can be drawn in a regular pentagon? 8. What is the area of the trapezoid below?

3 Geometry Grade 5 9. If a plain 4-by-4-by-4 cube is dipped completely into a vat of blue paint, removed, then cut up into 64 1-by-1-by-1 cubes, how many of the cubes will have exactly one side covered with paint?. Assuming all lengths are whole numbers, how many different rectangles could you make with a perimeter of 20? (a 2 by 8 rectangle is the same as an 8 by 2 rectangle)

4 Geometry Grade 6 1. What is the volume of a rectangular prism whose dimensions are 3 feet by 2 feet by 9 feet? 2. How many lines of symmetry does a square have? 3. How many triangles of any size are in the figure below? 4. The area of the square below is 36 square units. If the square were to be cut in half through the middle as shown below and separated from the other half, what would be the perimeter of one of the resulting rectangles? 5. How many diagonals can be drawn in a regular pentagon? 6. What is the area of the trapezoid below? 7. If a plain 4-by-4-by-4 cube is dipped completely into a vat of blue paint, removed, then cut up into 64 1-by-1-by-1 cubes, how many of the cubes will have exactly one side covered with paint? 8. Assuming all lengths are whole numbers, how many different rectangles could you make with a perimeter of 20? (a 2 by 8 rectangle is the same as an 8 by 2 rectangle) 9. If the three angles in a triangle are of measure 2x, 3x, and 7x, what does x equal?

5 Geometry Grade 6. Suppose you had a paper towel roll whose circumference is 8 inches and whose length is 24 inches. You want to wrap a string exactly four times symmetrically around the roll so that it stretches from one base to the other. How long should your string be? Express your answer as an exact number of inches.

6 Geometry Grade 7 1. How many triangles of any size are in the figure below? 2. The area of the square below is 36 square units. If the square were to be cut in half through the middle as shown below and separated from the other half, what would be the perimeter of one of the resulting rectangles? 3. How many diagonals can be drawn in a regular pentagon? 4. What is the area of the trapezoid below? 5. If a plain 4-by-4-by-4 cube is dipped completely into a vat of blue paint, removed, then cut up into 64 1-by-1-by-1 cubes, how many of the cubes will have exactly one side covered with paint? 6. Assuming all lengths are whole numbers, how many different rectangles could you make with a perimeter of 20? (a 2 by 8 rectangle is the same as an 8 by 2 rectangle) 7. If the three angles in a triangle are of measure 2x, 3x, and 7x, what does x equal? 8. Suppose you had a paper towel roll whose circumference is 8 inches and whose length is 24 inches. You want to wrap a string exactly four times symmetrically around the roll so that it stretches from one base to the other. How long should your string be? Express your answer as an exact number of inches.

7 Geometry Grade 7 9. If the base of an equilateral triangle is equal to four centimeters, to the nearest hundredth of a centimeter, what will be the area of the triangle?. The three areas of the faces of a rectangular prism are 96 square inches, 144 square inches, and 192 square inches. What is the volume of the prism?

8 Geometry Grade 8 1. How many diagonals can be drawn in a regular pentagon? 2. What is the area of the trapezoid below? 3. If a plain 4-by-4-by-4 cube is dipped completely into a vat of blue paint, removed, then cut up into 64 1-by-1-by-1 cubes, how many of the cubes will have exactly one side covered with paint? 4. Assuming all lengths are whole numbers, how many different rectangles could you make with a perimeter of 20? (a 2 by 8 rectangle is the same as an 8 by 2 rectangle) 5. If the three angles in a triangle are of measure 2x, 3x, and 7x, what does x equal? 6. Suppose you had a paper towel roll whose circumference is 8 inches and whose length is 24 inches. You want to wrap a string exactly four times symmetrically around the roll so that it stretches from one base to the other. How long should your string be? Express your answer as an exact number of inches. 7. If the base of an equilateral triangle is equal to four centimeters, to the nearest hundredth of a centimeter, what will be the area of the triangle? 8. The three areas of the faces of a rectangular prism are 96 square inches, 144 square inches, and 192 square inches. What is the volume of the prism?

9 Geometry Grade 8 9. A circle circumscribes a square and another square circumscribes that circle as shown below. What is the ratio of the smaller square to the larger square? (Assume that the outer square is tangent to the circle.). Three spherical tennis balls are placed into a cylindrical container such that the lid fits perfectly onto the container and the balls are just as wide as the container. If the radius of the container is 5 centimeters, what percentage of the container will be empty space? Round your answer to the nearest whole number percent.