Multiple Choice Practice - Shapes
 Integrated Algebra Level
 Algebra Index | Regents Exam Prep Center

Also available in Hardcopy (.pdf):
Shapes
 

Directions:  Choose the best answer.  Answer ALL questions (or only a few at a time), then use the BUTTON at the BOTTOM of the page to check your answers.  If you are told that an answer is incorrect, go back and redo that question and CHECK ANSWERS again.   You may CHECK ANSWERS at any time.
You may use your graphing calculator when working on these problems.
1.   Find the volume of a closed cylinder whose height is 10 inches and whose radius is 3 inches. Express answer to the nearest tenth of a cubic inch.
       [1]  86.5 cu. in.        [2]  282.7 cu.in.       [3]  312.8 cu.in.     [4]  103.3 cu.in.

 

 

2.  A closed box measuring 2 feet by 2 feet by 1 foot is to be covered with a brown wrapping paper. What is the surface area of the box that must be covered?

     [1]  16 sq.ft.             [2]  12 sq.ft.           [3]  10 sq.ft.         [4]  8 sq.ft.
 

 

3.  Snoopy bought a doggie ball with a circumference of 8 inches for Bowser's birthday party. To the nearest inch, find the side of the smallest cube shaped box that can be used to gift-box the ball. The ball must fit completely inside the box.

     [1]  2 inches             [2]  3 inches           [3]  4 inches         [4]  5 inches
 

 


4.  A triangle is placed on a coordinate grid as shown at the right. The vertices of the triangle are located at (1,0), (5,0) and (5,4). Find the exact perimeter of the triangle.  

[1]  m1
[2]  m2
[3]  m3
[4]  m4
graph1
 

 

5.  When folded, the net shown at the right will create:

[1]  a pyramid
[2]  a cylinder
[3]  a prism  
[4]  a sphere

net
 

 

6.  Find the perimeter of a square whose diagonal is 10 units.

     [1]  m5                  [2]  m6                [3]  m7           [4]  m8
 

 

7.  Find the perimeter of the rectangle shown at the right.

[1]  15
[2]  33
[3]  46
[4]  50

rectangle
 

 

8.  The diameter of a circular plate is 12 inches. Find the circumference of the plate to the nearest tenth of an inch.

     [1] 452.4                [2] 113.1               [3] 75.4                [4] 37.7
 

 

9.  The perimeter of the isosceles trapezoid shown at the right is 80. Find the value of a.

[1]  20 
[2]  15
[3]  12
 [4]  10
trap
 

 

10.  Find the area of a circle whose circumference is m13.

     [1]  m14               [2]  m13             [3]  m15             [4]  m16

 

 

11.  Find the number of square inches in the area of the shaded region of this square which contains two semicircles that are tangent to the sides of the square and tangent to one another.

[1] m9
[2] m10
 [3] m12
 [4] m11
sqcircle
 

 

12.  A square has a perimeter of 24x² + 16. What is the length of each side of the square?
[1] 6x + 4               [2] 6x² + 4                [3] 36x² + 16             [4] 12x + 8

 

 

13. The area of a square is 144 sq. in. Find the exact length of the diagonal of the square.
 [1]  m18              [2]  m19                [3]  m20                 [4]  m21 


14.  Find the area of a parallelogram whose base is 36 feet and whose height is 10 feet.

[1]  180 sq.ft.          [2]  360 sq.ft.           [3]  480 sq.ft.            [4]  720 sq.ft.
 

 

15.  The diagram at the right represents a patio area that is going to be painted. The patio consists of a rectangle and a semicircle. What is the area of the patio in square feet?

[1]  m25 
[2]  m22
[3]  m23 
[4]  m24
rect cricl
 

 

16.  In the diagram at the right, MATH is a rectangle. If BG = 9, HM = 12, and HT = 30, what is the area of the shaded region of the diagram?

[1]  495 sq. units
[2]  360 sq. units
[3]  225 sq. units
[4]  135 sq. units 
recttri
 

 

17.  Cisterns are large tanks used to store water. The larger of the cisterns at the right is completely filled with water. If enough water is taken from the larger cistern to completely fill the smaller empty cistern, how many cubic feet of water will remain in the larger cistern?

cisterns2
[1]  3                     [2]  4                 [3]  12                    [4]  18
 

 

18.  How many square inches of wrapping paper are needed to entirely cover a closed box that is 4 inches by 6 inches by 1 foot?
[1]  24 sq. in.          [2] 144 sq. in.    [3]  288 sq. in.        [4]  576 sq. in.
 



19.  If the length of the side of a cube is 8x², which expression represents the volume of the cube?
 [1]  m26                [2]  m29             [3] m27               [4] m28
 

 

20.  If the radius of a cylinder is tripled, what happens to its volume? Assume the height remains the same.

[1]  The volume is multiplied by 2.
[2]  The volume is multiplied by 3.
 [3]  The volume is multiplied by 4.
[4]  The volume is multiplied by 9.




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