True/False Indicate whether the
statement is true or false.


1.

Indicate whether if the statement is true or false: All prime numbers are
rational


2.

Indicate whether if the statement is true or false: All imaginary numbers are
irrational


3.

Indicate whether if the statement is true or false. All fractions are
rational numbers.


4.

Indicate whether if the statement is true or false:
All perfect squares
have an odd number of distince prime factors.

Multiple Response Identify one
or more choices that best complete the statement or answer the question.


5.

Indicate which of the following are irrational numbers:


6.

Indicate which of the following are irrational numbers:

Multiple Choice Identify the
choice that best completes the statement or answers the question.


7.

Suppose , where “a”, “b”, and
“c’ are prime numbers and “n”, “m” and “p” are whole
numbers. Which of the following expressions is equal to the number of factors that
“N” has?


8.

Suppose , how many factors does “N”
have?


9.

Suppose the prime factorization of “N” is ,
where “m”, “n” and “p” are prime factors, and “a”,
“b”, and “c” are whole numbers. Which of the expressions below gives
the sum of all the factors?


10.

What is the sum of all the factors of
a.  11,284  c.  2,916,000  b.  97,200  d.  349,804 

Numeric Response


11.

Evaluate without a calculator.


12.

Evaluate without a calculator.


13.

Esimate


14.

, what is the value of a+b?


15.

, what is the value of a+b?


16.

k= , what is the lowest value of “N” so
that “k” is an integer. Note, “N” must be a positive integer


17.

What is the 1000th digit in the decimal expansion of ?


18.

What is the smallest number that has 20 factors?


19.

What is the sum of all integers less than 100 with exactly 12 positive
factors?


20.

How many factors does have?
