Download Name ______ Date ______ Per - White Plains Public Schools

Name ____________________________ Date ______ Per. _______ Teacher _____________
Extended Problem of the Week #7: Due ______
Score____________
Part One – Multiple Choice (1 pt. each)
You must answer all questions in this section. (No calculators allowed for this part)
1. The prime factorization of 126 is:
2. Which number is divisible by 2, 5, and 9?
a.
b.
c.
d.
22 x 3 x 7
2x5x7
2 x 32 x 7
23 x 3 x 7
3. Which number is equal to: 22  32  7
a)
b)
c)
d)
5.
a.
b.
c.
d.
42
168
224
252
75 lies between which two consecutive
whole numbers?
5 and
6 and
7 and
8 and
6
7
8
9
7. What is the GCF of 77 and 154?
a.
b.
c.
d.
9.
77
11
12
7
A 270
B 70
C 280
D 820
4. Which of the following is a prime number?
a. 1
b. 2
c. 6
d. 9
6. Which set of numbers has all irrational numbers?
a.  5,
26,
50 , 121 
b.  9,  , 24 , 4 
c.  16,
25,
d.   , 2,
81, 100 
3, 5 
8. What is the LCM of 6 and 21?
a.
b.
c.
d.
18
84
42
21
A survey was was given to students asking which sports they play. The Venn Diagram below
shows the results of the survey.
Basketball
Baseball
How many students play baseball?
a) 5
b) 9
c) 10
d) 15
5
4
6
Part Two – Calculators are permitted in this section. You must show all work to receive full
credit!
10. There are 16 sixth graders and 24 seventh graders attending a play. The teacher
wants to have the same number of students in each row.
If a row can contain only sixth graders or only seventh graders, what is the greatest
number of students that can be in a row?
_______________________________
11. The list below shows the number of students who participate in football and track at
White Sands Middle School.



A total of 33 students participate in football
A total of 24 students participate in track.
There are 8 students who participate in both sports.
Part A
Use the list above to complete the Venn diagram in the space below.
Be sure to
 Title the diagram
 Label each circle
 Place the number in each section of the diagram
Part B
What is the total number of students who participate in these sports?
Answer __________________ students
12. Find the prime factorization of 50, 80, and 160.
Part A
Express the prime factorizations of each number above using exponents.
50 = ______________________
80 = ______________________
160 = ______________________
Part B
Find the Least Common Multiple of 50, 80, and 160.
LCM = ______________________________
Part C
Find the Greatest Common Factor of 50, 80, and 160.
GCF = ______________________________