1. What is the volume, in cubic feet, of a

cone that has a base area of square feet and a height of 3 feet?  

 A.

 

  B. 

 C.

 

 D.

 

   2. What is the volume, in cubic inches, of

the cone below?

 

  A. 

  B. 

  C. 

  D. 

   

3. The figure shown below is composed of a rectangular prism and two half cylinders.

Which is closest to the volume of the figure?  

  A. 

  B. 

  C. 

  D. 

   4. Miranda wants to know how much

water she could put in a cylinder she has. Which formula should she use to find the volume of her cylinder?  

  A. 

 B.

 

 C.

 

 D.

 

   

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5. A soccer ball has a radius of 11 cm. Using what is the approximate volume of the soccer ball in cubic centimeters?  

  A. 1520  

  B. 3135  

  C. 4772  

  D. 5572  

   6. Mike has a large plastic cup that he is

going to fill with water. The plastic cup is in the shape of a cone as shown below.

Which is closest to the volume of Mike’s cup?  

  A. 21 cubic inches  

  B. 63 cubic inches  

  C. 66 cubic inches  

  D. 198 cubic inches  

   

7. A solid cone was placed in the center of a rectangular fish tank as shown below.

Which is closest to the maximum amount of water that the fish tank can hold?  

 A. 1,286 cubic

inches  

 B. 1,455 cubic

inches  

 C. 1,476 cubic

inches  

 D. 1,569 cubic

inches  

   8. It takes 6 cubic inches of colored sand

to fill a plastic cone. How many cubic inches will it take to fill a plastic cylinder with the same base and height as the cone?  

  A. 2  

  B. 12  

  C. 18

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  D. 24  

   9. Joe has a cylindrical glass jar that he

wants to fill completely with apple juice. The jar has a diameter of 4 inches and a height of 8 inches. Which formula can Joe use to determine the amount of apple juice in this glass jar?  

  A. 

  B. 

  C. 

 D.

 

   10.

A right rectangular prism was removed from the center of a solid cylinder as shown below. The dimensions are given in centimeters.

Which is closest to volume of the remaining cylinder?  

  A. 3,901 cubic centimeters  

  B. 3,949 cubic centimeters  

  C. 4,019 cubic centimeters  

  D. 4,089 cubic centimeters  

   11.

The formulas for the volume of a cylinder and cone are shown below:

Volume of cylinder:

Volume of cone:

Based on these formulas, which scenario would not have been possible?  

 

A. Huong used the water in 1 cylindrical can and was able to fill 3 cones of the same height and diameter as the can.  

 

B. Ashley used a cone filled with small beads 3 times to fill a cylindrical plastic container with the same height and diameter as the cone.  

 

C. Carlos filled a cylindrical can with about 235.5 cubic inches of oil, while a cone of the same height and diameter only held 78.5 cubic inches of oil.  

 

D. Lincoln needed 3 congruent 100 cubic-inch cylinders of confetti in order to fill just 1 conical container that had the same height and diameter as the cylinders.  

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   12.

Maria built a tool that checks the rate of flow of liquid from one container to another. The tool consists of a cylindrical container attached to a cubic container. The cylinder has a diameter of 5 centimeters and a height of 6 centimeters, and the cube has a side length of 5 centimeters, as shown in the diagram below.

What is the volume of the two containers that make up Maria’s tool?  

  A. 690.20 cubic centimeters  

  B. 596.00 cubic centimeters  

  C. 266.30 cubic centimeters  

  D. 242.75 cubic centimeters  

   13.

A cylindrical tank has a circular base with an area of 480 square feet. The height of the tank is 32 feet.

How many cubic feet of water will the tank hold when it is completely full?  

  A. 512  

  B. 15,360  

  C. 32,768  

  D. 491,520  

   14.

Two cylinders are shown below.

Which statement is true about the cylinders?  

 

A. The surface areas of both cylinders are the same, but the volumes are different.  

  B. The volumes of both cylinders are the

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same, but the surface areas are different.  

 C. The surface areas and volumes of

both cylinders are different.  

 D. The surface areas and volumes of

both cylinders are the same.  

   15.

A can of paint in the shape of a cylinder has a radius of 4 inches and a height of 9 inches. Which formula is needed to find the volume of the can?  

 A.

 

 B.

 

 C.

 

 D.

 

   16.

A right triangle is shown below.

How long is x in inches?  

  A. 1  

  B. 5  

  C. 25  

  D. 

   17.

The perimeter of the rectangle is 36 centimeters.

What is the length of the diagonal?  

 A. centimeters

 

 B. centimeters

 

 C. centimeters

 

 D. centimeters

 

   18.

Toni draws a scale map that shows the location of her home, her school, and the grocery store.

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If each square’s length represents of a mile, how far is it from home to her school?  

  A. 1.2 miles  

  B. 1.3 miles  

  C. 1.5 miles  

  D. 1.7 miles  

   19.

Mr. Torres is building a rectangular patio with side lengths of 8 feet and 15 feet. In order to ensure that the corners are perpendicular, which best represents the length of the diagonal?  

 A.

 

  B. 

 C.

 

  D. 

   20.

A plane intersects a sphere 5 meters from the center of the sphere.

If the radius of the sphere is 6 meters, what is the area in square meters of the circle formed by the intersection of the plane and sphere?  

  A. 

  B. 

  C. 

  D. 

   21.

In Kite ABCD below, inches,inches, and inches.

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What is the length of  

  A. 11 inches  

 B. inches

 

  C. 21 inches  

 D. inches

 

   22.

Jeremy drew out the route he will hike over a 3-day period on the coordinate grid below. He will hike from Point A to Point B and from Point B to Point C on the first two days. On day 3, he will hike directly from Point C to Point A.

If each grid unit represents a distance of 1 mile, what is the distance Jeremy will need to travel between Point C and Point A?  

  A. 13 miles  

  B. 17 miles  

  C. 23 miles  

  D. 40 miles  

   23. The graph below shows a foot brace

that is placed against a painting at an art exhibit for support. The bottom of the brace is 3 feet from the painting.

At what distance from the ground does the brace touch the painting?  

  A. 8.5 feet  

  B. 9.0 feet

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  C. 9.5 feet  

  D. 9.9 feet  

   24.

What is the perimeter of the following figure?

 

  A. 

  B. 

  C. 

  D. 

   25.

In Triangle XYZ below,

Clarice wants to prove that Triangle

XYZ is a right triangle. The steps she will use in her proof are given below.

1. Use the Pythagorean Theorem to show that the hypotenuse of the right triangle must be equal to z.

2. Use the Side-Side-Side Theorem to show that both triangles are congruent.

3. Show that Triangle XYZ must be a right triangle.

4. Draw a second triangle that is a right triangle with leg lengths x and y.

Which of the following lists the steps in the correct order?  

  A. 3, 1, 2, 4  

  B. 3, 2, 1, 4  

  C. 4, 1, 2, 3  

  D. 4, 2, 1, 3  

   26.

Which expression represents the perimeter of the triangle below?

 

  A. 

  B.

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 C.

 

 D.

 

   27.

Similar right triangles QRS and LMN are shown on the grid below.

What is the length of ?  

  A. 3.0  

  B. 3.3  

  C. 3.6  

  D. 4.5  

   28. Triangle QRS is a right triangle.

What is the length of  

  A. 

  B. 

  C. 7 units  

  D. 10 units  

   29.

A tent has sides that are 10 feet in length and opens up to 8 feet across.

What is the height of the center support pole in feet?  

  A. 6 feet  

 B. feet

 

 C. feet

 

  D. 14 feet

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   30.

Paula leaned a 10-foot ladder against a building as shown below.

If Paula wants the top of the ladder to reach exactly 8 feet (ft) up the building, what is x, the distance between the building and the base of the ladder, in feet?  

  A. 2  

  B. 4  

  C. 6  

  D. 9  

   31.

Harold drew this sketch of a pentagon on the coordinate grid below.

Harold then reflected the figure, including Point R, across Line . Which set of coordinates would be closest to Point R after the pentagon was reflected?  

  A. (4, 5)  

  B. (4, 4)  

  C. (5, 4)  

  D. (5, 5)  

   32.

Rectangle ABCD will be rotatedclockwise about Point A.

What will be the new coordinates of Point D?  

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  A. 

  B. 

  C. 

  D. 

   33.

A triangle having vertices at ,  , and is dilated by a

scale factor of to form triangle A'B'C'.

Which statement is true?  

 A. The length of A'C' is one-half the

length of AC.  

 B. The length of A'C' is the same as the

length of AC.  

 C. The length of A'C' is twice the length

of AC.  

 D. The length of A'C' is four times the

length of AC.  

   34.

If the y values of rectangle ABCD are increased by 2, into rectangle EFGH, what will be the coordinates of point G?

 

  A. 

  B. 

  C. 

  D. 

   35.

If in the drawing below, which statement can be concluded?

   A.

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  B. 

  C. 

  D. 

   36.

Line segment DM with end pointsand is reflected about the

x-axis to give line segment What are the coordinates of Point  

  A. 

  B. 

  C. 

  D. 

   37.

The 24 passenger cars on a Ferris wheel are represented by the Points A through X. The angle formed by two adjacent passenger cars and the Center, Z, is 15°.

Which angle would result in being rotated 225° clockwise about Point Z?  

  A. 

  B. 

  C. 

  D. 

   38.

Trapezoid ABCD is congruent to Trapezoid JKLM shown below.

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Which of these proportions is true?  

 A.

 

 B.

 

 C.

 

 D.

 

   39.

Triangles ABC and DEC are shown.

Given is parallel to which statement about and is true?  

  A. 

  B. 

  C. 

  D. 

   40.

Draw the reflection of Triangle ABC over the x-axis on the coordinate plane below. Label the vertices of the new triangle A', B', and C'.

       41.

In the diagram, which condition ensures that lines and are parallel?

 

  A. 

  B. 

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  C. 

  D. 

   42.

Andrea bought a rectangular sheet of picture matting as shown.

She wants to buy a second sheet that is similar to the first, but she does not want a congruent sheet. Which sheet should she buy?  

 

A.

 

 

B.

 

 

C.

 

 

D.

 

   43.

Rectangle PQRS has side lengths of 7 and 3 as shown on the grid below.

Rectangle PQRS is reflected across the y-axis to form Rectangle What is the length of  

  A. 3  

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  B. 6  

  C. 7  

  D. 14  

   44.

If is translated into and coordinate E is at the origin, what can be said about with respect to?

 

 A. is one unit up and five units to

the left.  

 B. is one unit up and five units to

the right.  

 C. is three units up and two units to

the left.  

 D. is three units down and two

units to the right.  

   45.

Triangle ABC is translated 4 units to the right and 3 units down.

What are the coordinates of the new triangle?  

  A. 

  B. 

  C. 

  D. 

   46.

The Point is translated to the left 3 units. What are the new coordinates?  

  A. (8, −2)  

  B. (5, 1)  

  C. (5, −5  

  D. (2, −2)  

   47.

Central City is creating Park B, which will be a pentagon shape and geometrically similar to Park A.

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Which of the following statements is true?  

 

A. The ratio of the corresponding angles of Park A to Park B is 2:5; the ratio of the perimeters of Park A to Park B is 2:5.  

 

B. The ratio of the corresponding angles of Park A to Park B is 5:2; the ratio of the perimeters of Park A to Park B is 5:2.  

 

C. The corresponding angles of both parks are congruent; the ratio of the perimeters of Park A to Park B is 2:5.  

 

D. The corresponding angles of both parks are congruent; the ratio of the perimeters of Park A to Park B is 5:2.  

   48.

Triangle ABC is congruent to Triangle DEF below.

Which of the following is congruent to

 

  A. 

  B. 

  C. 

  D. 

   49.

Use the diagram below to answer the following questions.

Part A: What is the degree measurement of a? Explain how you obtained your answer.

Part B: What is length x? Explain how you obtained your answer.  

      50.

A city planner wants to construct a new road south of Town Hall and north of the Community Center. The city planner currently has the road plotted as a set of parallel lines as shown on the map. However, the current plan for the road would cover an historical marker.

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Which transformation should the city planner apply to this road so that it preserves the historical marker and still passes south of Town Hall and north of the Community Center?  

  A. translate the road up 2 units  

  B. translate the road up 4 units  

  C. translate the road down 2 units  

  D. translate the road down 4 units  

   51.

Jan drew a shaded figure on the coordinate plane below.

She completed a design by reflecting the figure across the y-axis. Which could be Jan’s completed design?  

 

A.

 

 

B.

 

 

C.

 

 

D.

 

   52.

Triangle ABC is shown.

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If is translated into and Point F is coordinate (3, 6), which statement is true?  

 A. The translation was to the right 6

units.  

  B. The translation was to the left 6 units.  

  C. The translation was down 3 units.  

  D. The translation was up 3 units.  

   53.

Which figure’s interior angles have a sum of 180°?  

 A.

 

 

B.

 

 C.

 

 

D.

 

   54.

A line is graphed below.

Which graph represents the reflection of the given line over the x-axis?  

 

A.

 

 

B.

 

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C.

 

 

D.

 

   55.

The point is reflected over the lineto create Point J. What are the

coordinates of J?  

  A. 

  B. 

  C. 

  D. 

   56.

Which of the following triangles is similar to the triangle shown below?

   

 

A.

 

 

B.

 

 

C.

 

 

D.

 

   57.

The triangle below will be rotated 90 degrees counterclockwise about Point A.

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What will be the new coordinates of Point C?  

  A. (1, 4)  

  B. (2, 4)  

  C. (3, 2)  

  D. (6, 8)  

   58.

Which rectangle is congruent to the rectangle below?

 

 

A.

 

 

B.

 

 

C.

 

 

D.

 

   59 In the figure below, lines l and m are

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. parallel lines cut by transversal line p.

Jackie said that if thenas well. Which of the

following justifies Jackies statement?  

 A. Alternate exterior angles are

congruent.  

 B. Alternate interior angles are

congruent.  

 C. Corresponding angles are

congruent.  

  D. Vertical angles are congruent.  

   60.

Maple Street and Elm Street are parallel to each other and both intersect Arbor Street.

Which statement is not true?  

  A. 

  B. 

  C. 

  D. 

   

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