Problem Solving

Homework
Hello Students and Parents. Students will begin factors, multiples and patterns this week. Students will learn to find
all the factors of a number using arrays, identify list common factors between numbers, determine multiples of a
number, understand prime and composite numbers, and generate a number pattern and describe its features. There
is a Quiz on Monday 10/26 reviewing this week’s lesson.
Reflex Math - Students will be required to complete 3 Green Light sessions of Reflex Math per week for a grade.
Think Central - Students have access to 3 Think Central Assignments which will help review the lesson. While the
lessons are not mandatory, they are available for students who would like to review the material.
Monday
October 19th
– 5.1 (2 Pages)
Tuesday
October 20th
– 5.2 (2 Pages)
Wednesday
October 21st
– 5.3 (2 Pages)
Thursday
October 22nd
– 5.4 (2 Pages)
Friday
October 23rd
– 5.5 (2 Pages)
Parents please initial below each day acknowledging your child has completed the assigned homework. Completed
homework packets will be collected on Monday October 26th for a grade.
Monday
Tuesday
Wednesday
Thursday
Friday
19th
October
20th
October
21st
October
22nd
October
23rd
October
Name: ________________________
Name___________________________
Date __________________
Problem Solving – Model Factors
Read and solve. Make arrays and record all the factors for the number.
1. Carmen wants to make a rectangular house
using connecting cubes. If she used 21
connecting cubes, how many ways could
Carmen make a house?
2. Ethan is thinking of a number between 1
and 20 that has exactly 5 factors. What
number is he thinking of?
3. Bobbie is setting up chairs for the talent
show. She has 32 chairs to set up equally.
What are the possible number of rows that
Bobbie could set up?
4. Paul is using 40 tiles to make a deck. How
many different rectangular arrays can Paul
make with all 40 tiles so none of the arrays
show the same factors?
5. Jill is using 56 connecting cubes to build a
model of a dog house. The model will have
the shape of a rectangle and will have the
height of at least one cube. In how many
different ways can Jill make the model of
the dog house?
Problem
Solving
5.1
Name___________________________
Date __________________
Problem Solving – Factors and Divisibility
Read and solve. Make arrays and record all the factors for the number.
1. Victor bought a set of stamps. The number
of stamps in the set he bought is divisible
by 2, 3, 5, 6, and 9. What set did he buy?
a. 90
b. 78
c. 63
d. 25
2. List all the factor pairs for the number 80.
3. Is 6 a factor of the number?
Write yes or no.
a. 72
b. 42
c. 93
d. 102
e. 90
4. Laura was to distribute 35 cookies equally
into baskets. She will use more than 1 but
fewer than 10 baskets. How many baskets
does Laura need?
5. Mr. Rodriguez bought a set of 80 books. He
wants to give all the books to his students
as a reward for completing i-Ready. He
could give equal numbers of books to:
a. 2 or 3 students
b. 2 or 6 students
c. 2, 4, 5, or 8 students
d. 2, 4, 5, 8 or 12 students
Problem
Solving
5.2
Name___________________________
Date __________________
Problem Solving – Common Factors
Read and solve. Record all the factors for the number.
1. Maria has a stamp collection with 30
stamps from Greece, 24 from Italy and 36
from Spain. She wants to arrange the
stamps in rows. Each row will have the
same number of stamps and all the stamps
in a row will be the same. How many
stamps can she put in each row?
2. Gaby collects Monster High Dolls. She has
45 Draculauras, 27 Operettas, and 54 Cleo
de Niles. She will arrange the dolls into
rows. Each row will have the same number
of dols and all the dols in a row will be the
same. How many dolls can be in each
row?
3. Andrea has 40 banana trees, 32 papaya
trees and 64 orange trees. She wants to
plant the trees in rows with only one type of
tree in each row. All rows will have the
same number of trees. How many trees will
Andrea put in each row?
4. The sum of two numbers is 84. One
number is 24. What is the other number?
What are the common factors of these two
numbers?
5. Which of the following is NOT a common
factor of 24, 48 and 72?
a. 4
b. 6
c. 12
d. 16
Problem
Solving
5.3
Name___________________________
Date __________________
Problem Solving – Factors and Multiples
Read and solve.
1. Tony works every 4 days and Zoe works
every 6 days at Chuck e Cheese. If Tony
works on October 4th and Zoe works on
October 6th, on what days in October will
they work together? List all the days.
2. What multiples of 4 are not factors of 48?
3. Sophia paid $24 for two books. The cost of
each books was a multiple of 4. What was
the price of the books?
4. Zoe and Eleni each bought jeans for
school. Zoe bought some jeans for $6 each
and Eleni bought some jeans for $9 each.
They both spent the same amount of
money on the jeans. What is the least they
could have spent on the jeans?
5. Which of the following is NOT a multiple of
14 and 7?
a. 28
b. 56
c. 42
d. 21
6. Sean helps his brother clean the playroom.
They need to put away 56 toy cars. He puts
the same number of cars in each box.
Which list shows how many cars can be in
each box?
a. 1, 4, 7, 16
b. 2, 4, 8, 14
c. 2, 7, 14, 24
d. 1, 6, 7, 8, 14
Problem
Solving
5.4
Name___________________________
Date __________________
Problem Solving – Prime and Composite
Read and solve.
1. During math class, Ms. Maria asked Mason
if the number 15 is a prime or composite
number. How should Mason answer?
2. On a multiple choice test, Evan had to pick
which number was a prime number. Which
number should Evan pick?
a. 21
b. 33
c. 45
d. 23
3. Determine whether each number is prime
or composite. Place a check in the
appropriate column.
PRIME
COMPOSITE
16
29
62
71
69
46
87
4. Look at the numbers below. Write each
number under prime or composite.
PRIME
COMPOSITE
5. List all the composite numbers between 20
and 40.
Problem
Solving
5.5