Study Guide for Fall Semester Final 2015
Name:
Period:
Date:
Directions: Complete the following study guide by December 15, 2015. This will be part of your
final grade.
1) Match each of the following terms with its correct definition
Numbers that have more than one factor
Proper Factor
A number divided by or multiplied that produces another number
Square number
The answer to a multiplication problem
Factors
A number that can only be divisible by one and itself
Product
All the factors of a number less than the number itself
Prime numbers
The product of some integer with itself
Composite numbers
2) List the factor pairs of 45.
3) List the factors of each number:
a) 21:
b) 124:
c) 42:
d) 63
4) Define a prime number and provide an example
5) Define a composite number and provide an example
6) List the first 5 multiple of the each number:
a) 12:
b) 7:
c) 8
d) 14:
7) What are squared numbers? Provide an example.
Study Guide for Fall Semester Final 2015
Name:
Date:
8) Which of these numbers are square numbers? Explain your reasoning.
25
36
Period:
48
9) List all of the proper factors of 16.
10) True or False. A prime number is divisible by 2 and itself. Explain your reasoning.
11) True or False. The numbers 11, 15, and 19 are prime numbers. Explain your reasoning.
12) True or False. A composite number is always an even number. Explain your reasoning.
13) True or False. A composite number has more than 2 factors. Explain your reasoning.
14) List the common factors of each number. Then, find the greatest common factor (GCF).
18:
30:
GCF=
15) Find the prime factorization of each number. Don't forget your answer
a) 64
b) 14
16) Using prime factorization, find the least common multiple (LCM).
30
42
Study Guide for Fall Semester Final 2015
Name:
Date:
17) Find the GCF using prime factorization
64
Period:
42
18) The owners of an amusement park want to add more rides and an arcade in an open field.
Below is a sketch of their plan. Write two expressions for the area of the whole field and find the
area.
Rides
Arcade
19) Use the distributive property and evaluate each expression.
a) 4( 12 + 8 ) =
b) 7( 20 - 14) =
20) Find the value of the expression:
a) 6(13 × 3 - 42) – 10=
c) (7 + 3)2 + (12 - 12 ÷ 2) =
b) 12.2 × 9.4 – 2.68 + 1.6 =
d) (0.6)2 + (2.4)2 + 18.6 ×2 + 4.8=
Study Guide for Fall Semester Final 2015
Name:
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21) Two bikers are riding a circular path. The first rider completes a round in 12 minutes. The
second rider completes a round in 18 minutes. If they both started at the same place and time,
after how many minutes will they meet again at the starting point?
22) Write the following using exponents: (DO NOT SOLVE)
a) 2×2× 8 × 8 × 6
b) 47× 49 × 47
23) Expand the exponents and solve for the answer.
73=
122=
24) Which of the following is equivalent to the expression below?
54
25) A teachers wants to give 24 pens and 36 stickers to her students. What is the greatest number
of students she can have in class so that everyone gets an equal amount of pens and stickers? Also,
tell me how many pens and stickers each person will get.
26) There are 25 bananas and 42 apples in a potluck. What is the ratio of apples to bananas?
Write the three different ways of writing a ratio.
Study Guide for Fall Semester Final 2015
Name:
Period:
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27) In 7 minutes, Jason was able to type 203 words. What’s his typing speed in words per
minute?
28) Mr. Simmons drove 124 miles in 2 hours. How many miles did he drive in an hour? How
long did it take if he drove 372 miles?
29) Simplify the following fractions:
80
a) 124
30) Find an equivalent fraction for each given fraction.
2
a) 7
31) Convert the following mixed fractions to improper fractions.
3
a) 6 7
b)9
11
12
32) Convert the following improper fractions to mixed fractions.
a)
63
71
b) 11
4
33) What is the absolute value of -12?
34) Find the reciprocals for the following fractions.
a) 12
b) 2
18
45
35) Add, subtract, multiply or divide:
1
4
a) 1  3
2

3
b)
2
2
× 3 =
3
4
Study Guide for Fall Semester Final 2015
Name:
Date:
Period:
5
6
c) 1 
1

4
d) 14 ÷
3
=
2
36)
37) Write the place value of the underlined digits:
a) 25.6842
b) 0.0007
c) 2,678.12
d) 7,584,512.89
38) Add or subtract:
a) 116.7 – 32.82 =
b) 14 – 6.52 =
c) 0.42 + 1.452 + 31.8 =
d) 45.3 + 15.273 =
39) Bob has $178.74 in his checking account. He wrote checks for $36.52, $18.92, and $25.93.
He also deposited $300.00, $100.00, and $205.16. What is the final balance in Bob’s checking
account?
Study Guide for Fall Semester Final 2015
Name:
Period:
Date:
40) One meter is approximately equal to 39.39 inches. About how many inches are in 3 meters?
a) 40
b) 90
c) 120
d) 150
41) Multiply: 25.4 by 5.1
42) Alicia bought 3.8 pounds of cashews for $26.60. About how much was the cost per pound?
43) Alison bought one T-shirt for $10.20 and another T-shirt for $18.90. What is the total
amount she spent?
44) 1863 ÷ 23 =
45) 12.6 ÷ 9 =
46) What is the value of 5.87 ×1.5?
47) 89.44 ÷ 8.6 =
48) 1.56516 ÷ .002 =
49) 1.89 × 36.2