Sample Test III MATH 3032



 1. Find the perimiter and area of the below figures

    a) Regular hexagon side 10 cm

      i. Perimiter (2 pts.)

     ii. Area (4 pts.)

                         

    b) The figure is symmetric.

      i. Perimiter (2 pts.)

     ii. Area (4 pts.)

    c)                          

      i. Perimiter (2 pts.)

     ii. Area (4 pts.)

 2. Sally has a ladder propped against the house. If the bottom of the ladder is 6 feet from the house and the ladder is 10 feet long, how far up the side of the house will the ladder reach? (5 pts.)

 3. If the volume of a certain cube is 27000 cubic centimeters then what is it's surface area? (6 pts.)

 4. Find the perimiter and area of the rectangle given below.

                         

      i. Perimiter (4 pts)

     ii. Area (6 pts.)

 5. Points P, Q, & R are located on the number line below

                         

         The coordinates of the points are: P 1.4,   Q 3.2,   R 6.5.

    a) What is the length of PR) (2 pts)

    b) What is the length of QR? (2 pts)

    c) Find the midpoint of PR. (4 pts)

    d) Find the midpoint of PQ. (4 pts)

 6. The Ardvark Perfume Company plans to market their new perfume in boxes that are hexagonal prisms. Each box will have 3 stars on each rectangular face and 4 stars on each hexagonal face. How many stars are on each box? (6 pts)

 7. For each of the below figures determine the number of Faces, Vertices, and Edges. (2 pts. for each value)

    a) Tetrahedron     F    V     E

    b) Hexagonal prism     F    V     E

    c)                               F    V     E

 8. For a regular decagon what are the following angles?

    a) Exterior (2 pts)

    b) Central (2 pts)

    c) Vertex (2 pts)

 9. For the figures on the below grids determine the transformation that changes object P to the other on each and display it.(4 pts each)

    a)

    b)

10. Mark each of the following as either True or False.(2 pts. each)

TRUE FALSE a) Any regular polygon is concave.

TRUE FALSE b) A version of Euler's formula is F - ( E - V ) = 2

TRUE FALSE c) Two reflections can make a rotation.

TRUE FALSE d) The faces of a dodecahedron are pentagons.

TRUE FALSE e) Any regular polyhedron is convex.

TRUE FALSE f) For any regular polygon the vertex angle and the central angle are equal.

TRUE FALSE g) If two figures are congruent then they can be superimposed by a combination of isometries.

TRUE FALSE h) The Egyptian pyramids are each half an octahedron.

TRUE FALSE i) The volume of any right pyramid is 1/4 the volume of the enclosed prism.

TRUE FALSE j) Mega is a computer term not a metric term.

11. Find the volume and surface area of the below figures. (5 points for each area, 4 points for each volume)

                                      

    a) Surface area.

    b) Volume

                                      

    c) Surface area.

    d) Volume

                                      

    e) Surface area.

    f) Volume

12. For each of the below figures show the result of applying the given transformation. (5 pts. each)

    a)   Shift right 2 & up 3

    b)   Shrink about O by 3/4

    c)   Rotation of 90° about O.

    d)   Reflection in the indicated line.

13. In each of the following cases determine if the information is sufficient to prove that triangle ABC is congruent to triangle XYZ and, if they are congruent, what congruence property applies. (4 pts. each)

    a) These angles are congruent: A & X, B & Y, C & Z

    b) These angles and lines are congruent: A & X; C & Z; AB & XY

    c) These angles and lines are congruent: A & X; AB & XY; BC & YZ

    d) These angles and lines are congruent: A & X; AB & XY; AC & XZ

14. Find the volume between a cube of side 20 cm and an enclosed sphere of radius 10 cm. ( 6 pts. )

15. Find the area of the shaded region in the below semicircle in a rectangle. ( 6 pts. )

                                      

16. Find the area of the below letter F. ( 6 pts. )

                                      

17. Answer the following measurement questions. (2 points each)

    a) Define gram.

    b) What is an appropriate temperature for a hot tub? A multiple of 5 degrees Celcius.

    c) Define peck.

    d) What does Terra mean as a prefix?

    e) What is the definition of an Are?



This page updated by Frank Matthews Oct. 26, 2003