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Math 112
Test #1
Spring 2008
(Practice Problems for Spring 2012)
Name:________________________________________
Multiple Choice: Choose the answer that best suits as the solution to the question.
1. The word geometry is derived from:
(a)
(b)
(c)
(d)
(e)
Latin for “measurement”
Greek for ‘geos’ (earth) and ‘metron’ (measure)
German for “angles”
French for ‘pain’
None of the above
2. A regular nonagon would have the following properties:
(a)
(b)
(c)
(d)
(e)
7 congruent sides and 7 congruent interior angles of 120°
9 congruent sides and 9 congruent interior angles of 145°
9 congruent sides and 9 congruent interior angles of 120°
9 congruent sides and 9 congruent interior angles of 140°
None of these
3. Using your protractor, the measure of the angle below is closest to:
(a)
(b)
(c)
(d)
(e)
41°
139°
221°
120°
155°
4. A parallelogram has all of the properties listed below EXCEPT:
(a)
(b)
(c)
(d)
(e)
All opposite sides are congruent.
All interior angles add to 360 degrees.
All opposite angles are congruent.
All opposite sides are parallel.
None of these.
5. In the equilateral triangle given below, solve for the angle measure of x and y.
(Not drawn to scale)
(a) x = 120  ; y = 60 
(b) x = 60  ; y = 120 
(c) x = 50  ; y = 130 
(d) x = 70  ; y = 110 
(e) None of the above
6. An equilateral triangle has the following characteristic:
(a)
(b)
(c)
(d)
(e)
All sides of the triangle are congruent.
None of the sides of the triangle are congruent.
All interior angles of the triangle are congruent
Choices A and C
Choices B and C
7. A quadrilateral has the following property:
(a)
(b)
(c)
(d)
(e)
A quadrilateral is a polygon with 5 sides.
A quadrilateral is a polygon with 6 interior angles.
A quadrilateral has interior angles whose sum is 360  .
A quadrilateral is a polygon where each interior angle must be 90  .
None of the above statements is a property of a quadrilateral.
8. Given the statements below, which of the following are TRUE
1.
2.
3.
4.
All rhombuses are squares.
All rectangles are squares.
All squares are parallelograms.
All rectangles are parallelograms.
(a)
(b)
(c)
(d)
(e)
All are true statements.
Only 1, 2, and 3 are true.
Only 1, 3, and 4 are true.
Only 3 and 4 are true.
None of the statements are true.
9. The sum of the interior angles in a regular octagon is:
(a)
(b)
(c)
(d)
(e)
1140 
1800 
1080 
1620 
None of the above.
Questions 10 and 11: Refer to the diagram below,
Sherry begins a walk at point D and ends her walk at point A.
(End)
A
B
C
D (Start)
10. When Sherry turns at point B and starts walking to point A, how many degrees
does she turn as she walks towards A?
(a)
(b)
(c)
(d)
(e)
25 
155 
120 
10 
70 
11. The total number of degrees that Sherry turns when walking from D to A is:
(a)
(b)
(c)
(d)
(e)
180 
120 
90 
270 
None of these
12. Complimentary angles are angles who sum are:
(a)
(b)
(c)
(d)
(e)
90 
360 
180 
270 
None of the above
13. A regular polygon has the following properties:
1.
2.
3.
4.
(a)
(b)
(c)
(d)
(e)
All sides of the polygon are congruent.
All of the interior angles are 90  .
All sides of the polygon are not congruent.
All of the interior angles are congruent.
Statements 1 and 2 only
Statements 1, 2, and 3 only
Statements 1 and 4 only
Statements 1, 2, and 4 only
All of the above statements are true.
14. Given that ACDB is a parallelogram, solve for angle B.
(a)
(b)
(c)
(d)
(e)
65 
125 
115 
180 
None of the above
15. Which of the following properties best describes the characteristics of a right
triangle?
(a)
(b)
(c)
(d)
(e)
All interior angles of the right triangle are 60 
All interior angles of the right triangle are 90 
Two interior angles of the right triangle are 90 
One interior angle of the right triangle is 90 
None of these
16. The Olive Garden Restaurant would like to build a franchise somewhere within a
15 mile radius of Blacksburg and a 20 mile radius of Roanoke. After performing
some research, it was found that the optimal location would be not be with in the
15 mile radius of Blacksburg or the 20 mile radius of Roanoke as there is already
an Olive Garden in Roanoke. Given the diagram below (B represents Blacksburg
and R represents Roanoke), where would be the restaurant be located?
(a)
(b)
(c)
(d)
(e)
Inside the shaded region
Location 1 (outside of both circles)
Points M and N
All of the above
None of the above
17. In the diagram for question 18, what is the diameter (in miles) around Roanoke
that Olive Garden was exploring to place a new restaurant?
(a)
(b)
(c)
(d)
(e)
20 miles
10 miles
40 miles
45 miles
None of these
18. To measure the depth of a swimming pool in metric units and U. S. Customary
units, the following units would be used, respectively:
(a) Meters and inches
(b) Millimeters and feet
(c) Millimeters and inches
(d) Meters and feet
(e) None of these
19. The amount of floor space homes and apartments are most commonly measured
in is:
(a) Area (in units of square feet)
(b) Perimeter (in units of yards)
(c) Volume (in units of cubic yards)
(d) Feet (in units of feet)
(e) None of the above
20. How many centimeters are there in a 1 mile run? (1 inch = 2.54cm,
1 mile = 5280 feet)
(a) 63,360 cm
(b) 24,945 cm
(c) 160,934 cm
(d) 6336 cm
(e) None of the above
21. The volume of an object can best be described as:
(a) Length x width x height
(b) A three dimensional measure that counts the number of square units to
cover a region.
(c) A three dimensional measure that counts the number of cubic units to
fill the space of a three dimensional region.
(d) A one dimensional measure that measures the distance between
regions of a three dimensional object.
(e) None of these
22. A giraffe’s neck is 5.2 meters long. How many millimeters long is the giraffe’s neck?
(a) 520 mm
(b) 52 mm
(c) 5200 mm
(d) 52,000 mm
(e) None of these
23. A room needs to be carpeted. The room’s size is 423 square feet. How many square
yards of carpet need to be ordered to carpet the room?
(a) 141square yards
(b) 47 square yards
(c) 1269 square yards
(d) 1398 square yards
(e) None of these
24. How many square inches are there in 2 square feet?
(a) 144 square inches
(b) 288 square inches
(c) 24 square inches
(d) 48 square inches
(e) None of these
25. Which of the following would be considered an isosceles triangle?
(a) An equilateral triangle.
(b) A triangle with 2 congruent sides.
(c) A triangle with 2 congruent angles.
(d) A triangle with two 45 degree angles.
(e) All of these would be an isosceles triangle.
26. A construction is made with a compass and a straight edge. A bisector is constructed.
Which of the following would be true about the construction?
(a) A midpoint could have been located.
(b) Two congruent angles could have been constructed.
(c) Two right angles could have been formed.
(d) Both A and B are possible.
(e) All of these are possible.
27. If 1 pound = 0.45 kilograms, how many milligrams are there a 5 pound bag of sugar?
(a) 11.11 milligrams
(b) 11,111.11 milligrams
(c) 2.25 milligrams
(d) 2250 milligrams
(e) None of these
28. How many cubic feet of mulch is needed to cover a garden that is 20 feet long, 30
feet wide, if you want to put 6 inches of mulch on the garden?
(a) 3600 cubic feet
(b) 600 cubic feet
(c) 300 cubic feet
(d) 450 cubic feet
(e) None of these
29. How many square feet are there in 4 square yards?
(a) 36 square feet
(b) 12 square feet
(c) 48 square feet
(d) 60 square feet
(e) 3 square feet
30. How many milliliters are there in a gas tank that holds 14 liters?
(a) 140 ml
(b) 1400 ml
(c) 14,000 ml
(d) 140,000 ml
(e) None of these
31. Given the diagram below, what must be a true statement about the diagram?
i. C is the center of the circle
ii. Angle QCR is a right angle
iii. CQ is congruent to CR
iv. QR is congruent to CQ and CR
(a) All choices must be true.
(b) Only choices i, ii and iii are true.
(c) Only choices i and iii are true.
(d) Only choices ii and iii are true.