1. A kite is a parallelogram.
2. Any two diagonals of a regular polygon intersect inside the polygon.
3. An equilateral triangle is an isosceles triangle.
4. Any two distinct lines in a plane either intersect in a point or are parallel.
5. A square is a rhombus.
IV. FILL IN THE BLANKS. ( 3 points each )1. Two angles the sum of whose measures is 180 degrees are called ___________.
2. The most common value in a set is called the ____________.
3. A scalene triangle is one which _________.
4. The metric quantity for measuring fields is _________
5. A regular quadrilateral is called a _______________.
V. MULTIPLE CHOICE. In each case, circle the letter of the best response. (4 points each) 1. What do the following numbers have in common? 357 819 1001 a) They are all multiples of three b) They are all prime numbers c) They are all divisible by seven d) They have a common factor greater than 10 2. Which of the following has a non-terminating decimal representation in base ten? (8 points) a)
b)
c)
d) None of these.
3. Which of these fractions is between 
and 
a)
b)
c)
d)
4. If x is a positive integer then --
a) -x is positive
b) -(-x) = -x
c) |-x| = x
d) None of the above
5. If a is 50% of b then which of the following must be true?
a) ab = 2
b) a = 1 & b = 2
c) b = 2a
d) None of the above
6. In a class of 70 students 50% missed a certain question
on a test. Of the students who missed the question 20%
missed the same question on a retest. How many students missed
the question twice?
a) 70
b) 35
c) 14
d) 7
7. If the 7 digit number 1, 336, 56_ is to be divisible by 6 then
which of the following may be the missing digit? a) 4
b) 5 c) 6
d) 7
8. A measure of a garage door's width would be?
a) 12 cm
b) 3 m
c) 24 m
d) None of these.
9. Which of the following number systems is positional?
a) Babylonian
b) Egyptian
c) Mayan
d) Roman
10. Which of the following concepts applies to ordinal data?
a) Mean
b) Variance
c) Median
d) Standard Deviation
VI. CONCEPTS.
1. If A and B are negative integers, and C is a positive integer,
then determine whether each of the following are positive,
negative, or undetermined. (2 points each)
a) (-A) * (-B)
b) A * (B-C)
2. Shade the Venn Diagram to represent . . .
(6 points)
3. 3. Arrange in order from smallest to largest. (5 points each)
a) -1/3, 1/3, 0.333, 3%, -1/5
b) -1/5, 2/3, 0.666, 66%, 0.667
4. Illustrate 
on a unit square model.
(4 points)
5. Find the character in the 199th position of
0.(34786543120987856743) (6 points)
6. Show that 1/3 and 2/6 are equivalent fractions using
unit squares. (4 points)
7. Given the following set of data:
{ 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 7, 7, 8, 9, 9, 9 }a) Determine the mean. (3 points)
b) Determine the median. ( 2 points)
c) Determine the mode. ( 2 points)
8. How many different 1-1 correspondences are there between two six element sets? (3 points) 9. What are the two numbers before and after 54 in base six. (3 points) ____, ____, 54, ____, ____ 10. For each case below, write the number of the whole number property which justifies the statement. (2 points each)a)| 1 x 2 = 2 x 1 | 1) | Closure +
| b) | 5 + 0 = 5 | 2) | Closure x
| c) | 7 x (3+5) = (3+5 ) x 7 | 3) | Commutativity +
| d) | 5 + 3 = 3 + 5 | 4) | Commutativity x
| e) | 1 x 6 = 6 | 5) | Associativity +
| f) | 3 x ( 7 + 5 ) = ( 3 x 7) + ( 3 x 5 ) | 6) | Associativity x
| | | 7) | Identity +
| | | 8) | Identity x
| | | 9) | Distributive Property
| |
11. For data which is normally distributed, what portion of the data is between the median and two standard deviations above the median? ( 3 points )
12. For data which is normally distributed, what portion of the data is below two standard deviations above the mean? ( 3 points )
13. When 100 students took a test the mean score was 92.3. Two students took a makeup. The mean of their two scores was 77. What is the combined mean of the two sets of 102 scores? ( 6 points)
14. For data which is normally distributed, how many standard deviations above the mean would represent the 99th percentile? ( 3 points ) 15. Consider a regular 16 sided polygon. Find the following angles. (3 points each)a) Central Angle
b) Vertex Angle
c) Exterior Angle
VII. COMPUTATION. SHOW YOUR WORK WHENEVER POSSIBLE. 1. Determine if 10447 is prime or not. Explain your decision. (6 points) 2. Find the smallest n so that 8 cubed divides n!. (6 points) 3. Is 3,344,558,822 divisible by: (2 points each) a) 2? b) 3? c) 4? d) 5? e) 6? f) 9? g) 11? h) 12? 4. Write 3/7 as a repeating decimal. (5 points) 5. Write each of the following as fractions. (5 points each)a) 0. 2 3 (2 3)
b) 0.342(42) c) 0.342(525) 6. Write 3 5/7 as a fraction.(3 points) 7. 20% of 25% is what? (4 points) 8. Find a fraction between
and
. (4 points)
9. Give an irrational number between 1 & 2
10. Complete the below table. Fractions do not have to be expressed
in lowest terms. Decimals should be to at least 4 places percents to at
least 2 places.
( 3 points per blank.) 
11. 2 percent of 106 is what? (3 points)
12. 48 is 120% of what? (3 points)
13. Change MCMLXXIX to Hindu-Arabic numerals. (4 points)
14. Change 56374 to each of the following systems. (6 points each)
a) Mayan
b) Babylonian
c) Egyptian
15. Write in Hindu Arabic numerals each of the following numbers:
(6 points each)
a) Babylonian . . . 
b) Mayan . . . 
c) Mayan . . . 
16. Calculate the following by the algorithm of your choice in Base 5.
(Do not convert to base 10) (4 points)
1 3 1 4
- 4 3 1
17. Divide in base six. (6 points)
34 x 1 = 34
34 x 2 = 112
34 x 3 = 150
34 x 4 = 224
34 x 5 = 302
18. Multiply 3 4 by 4 2 in base eight by lattice multiplication. (6 points)
19. Change 5492 to base nine notation. (4 points)
20. Change 2322(four) to base ten notation. (4 points)
21. Change 599 to base eleven notation. (4 points)
22. Multiply 34 by 46 in base twelve. (4 points)
23. Multiply 46 by 54 in base seven. (4 points)