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Math 310
Exam 4 Review (Chapters 5 & selected topics)
Updated 4/18/16
Section
Questions
/ Probs
 1

 3

Review T/F
See class handout



4
2
1



16
25
46


1
1


22  1
2n  1

1

Review T/F (notes)



1
1
2



29
6
9, 13

2

17, 19

2

11, 19

1

39

1

25


1
1


45
1, 9

Properties of Primes (squares
– not in book)
Find twin primes
Show Goldbach’s conjecture
Determine if number is
perfect
Determine if number is
abundant or deficient
Find GCF & LCM using
primes
Use method of dividing to
find LCM
Find GCF using Euclidean
Algorithm
Find LCM using formula
Determine numbers to be
relatively prime
LCM Application Problem

1

Challenge
Section 5.5


Fibonacci Sequence
Golden Ratio


2
1


Magic
Squares


MS Sum Formula
Generate Magic Square “n”
odd


1
1


3
p 214 – understand
quotients of successive
Fibonacci numbers
See Class notes
See class handout
Section 5.1





Section 5.2


Section 5.3





Section 5.4





Topic
Properties of Primes
Find primes using Sieve of
Eratosthenes.
Use divisibility rules
Factor numbers into primes
Find the number of divisors
of a composite number
Identify Fermat primes
Identify Mersenne primes
See Vocabulary Next Page
Review Problems
n
Vocabulary / Concepts
Divisibility / Divisibility Rules
Multiple
Factor
Prime numbers
Composite numbers
Sieve of Eratosthenes
Fundamental Theorem of Arithmetic
Euclid’s work with primes
Mersenne primes 2 n  1
Magic Squares
Proper divisors
Perfect numbers
Abundant number
Deficient number
Amicable numbers
Goldbach’s conjecture
Twin primes
Relatively Prime
Fibonacci Sequence
Golden Ratio
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