MTE 180                                     Place Label Here                                

 

Phil Clark

 

Test  #4 - Covers 8.1, 8.2, 10.1 and 10.2

 

 

No note cards! 

 

Scratch paper is provided.

 

Use of calculators is encouraged.

This test includes 11 problems and 2 extra credit problems.

 

 

Instructions:

To receive credit, you must show all work and explain all your reasoning. If you use you calculator, tell me how. If you guess-and-check, tell me how.

 

 

Honor Statement:

By signing below you confirm that you have neither given nor received any unauthorized assistance on this exam.  This includes any use of a graphing calculator beyond those uses specifically authorized by the Mathematics Department and your instructor.  Furthermore, you agree not to discuss this exam with anyone until the exam testing period is over.  In addition, your calculator’s program memory and menus may be checked at any time and cleared by any testing center proctor or Mathematics Department instructor.

 

 

                                                                                                                                                                               

                  Signature                                                                            Date

 

 

 

 

 

 

 

1.      True and False. [2 pts each]

 

a) A square is a rectangle.                                                                                       T      F

 

b) A trapezoid is a parallelogram.                                                                T      F

 

c) If you know the measure of 2 sides of any triangle, you can find                   T      F

    the measure of the third side using only the Pythagorean Theorem                                                                       

d) Distinct, concurrent lines can be parallel.                                                 T      F

 

e) A closed, simple curve cannot be convex.                                                       T      F                                                                                                                                                                                     T       F

 

 

 

 

 

2.   Sketch the following or briefly describe why it is impossible [2 pts each]:

 

            a.  A concave quadrilateral:

 

           

            Answers will vary.

 

 

 

 

      b.  A parallelogram with exactly 1 acute angle (mark which angle is acute)

 

      Impossible, a parallelogram has pairs of congruent angles.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3.   Terri is looking for a top for her coffee table.  A 5-ft. x 5-ft. piece of marble will cost $275.  A round piece of etched glass with a 5-foot diameter will cost $247.

a.                   Find the area of the marble top [3 pt]

 

 

5 x 5 = 25 sq ft

 

 

 

 

 

 

 

b.                  Find the area of the glass top. [3 pt]

 

(5/2)2 x p = 19.64…sq ft

 

 

 

 

 

 

 

 

c.                   Which is a better value (based solely on price)?  Explain your reasoning  [2 pt]

 

 

275/25 = $11 per sq ft

247/19.64… = $12.57…per sq ft

so the rectangular top is the better deal for your money.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4.         Note:  for this figure, assume each line connects its end dots

               

a.                   Find the area of the figure above.  Show all your work and explain your reasoning. [ 5 pt]

 

16 + 2.5 + 2 +2 = 22.5 sq units

 

 

 

 

 

 

 

b.                  Find the perimeter of the figure above.  Show all your work and explain your reasoning. [5 pts]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5.   Compute the following: [2 pts ea]

a)      5m = __500  cm

 

 

 

b)      50mL = __.05_ L

 

 

 

c)      27 square feet = __3___ square yards

 

 

 

d)      3 grams = _3000_ mg

 

 

 

e)      10 cm = _4___ inches   (remember there are approximately 2.5 cm in an inch)

 

 

 

 

 

 

 

6.    Find the perimeter of the figure below.  Explain each of your steps. [8 pts]

 

 

 

 

 

 

 

 

 

 

 

 

 


                       

 

 

 

 

 

 

7.  Phil has a trapezoidal pool built.  The patio surrounding it is rectangular.                             [see drawing, 10 pts]

 

48 ft
 

25 ft
 
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


What is the area of the patio surrounding the pool?

 

 

 

            25 x 48 – (.5 x 17 (30 + 40)) = 605 sq ft

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Extra Credit   [2 pts each]

 

1)   As I was going to St. Ives

I met a man with seven wives.

Every wife had seven sacks;

Every sack had seven cats;

Every cat had 7 kits.

Kits, cats, sacks and wives:

How many people were going to St. Ives?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2)  If you dig a hole which is 6 feet wide, 6 feet long, and 6 feet deep; how much dirt is in it?