Name:
Class:
Date:
Unit 01 PC Form E
1.
(1.2, 1.3, 1.4, 1.6, 1.9) Use pencil and paper to answer the question.
a.
b.
Mr. Johnson has 30 daisies. He
wants to plant them in a
rectangular array consisting of at
least 2 rows with at least 2 daisies
in each row. On the grid, draw 3
possible ways.
List all the factors of 30.
_________________________
_________________________
c.
Is 30 a prime or composite
number?
_________________________
d.
How can you tell?
_______________________________________________________________
_______________________________________________________________
e.
Circle the factors in part b that are prime numbers.
ANSWER:
a. The student should draw 3 of the possible arrays: 2x15, 3x10, 5x6, 6x5, 10x3, 15x2.
b. 1, 2, 3, 5, 6, 10, 15, 30
c. composite
d. 30 has factors other than 1 and itself, so it is a composite number.
e.
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Page 1
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Unit 01 PC Form E
2.
(1.2, 1.3, 1.7) Use pencil and paper to answer the question.
Mrs. Williams has 20 violets. She wants to plant them in a rectangular array consisting of at least 2
rows with at least 2 violets in each row. On the grid, draw 4 possible ways.
ANSWER:
3.
The student should draw 4 of the possible arrays: 2x10, 4x5, 5x4, 10x2.
(1.2, 1.3, 1.4, 1.9) Use pencil and paper to answer the question.
List all the factors of 70.
_____________________________________________________________
ANSWER:
1, 2, 5, 7, 10, 14, 35, 70
4. (1.6) Is 19 a prime or composite number? ________________
ANSWER:
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prime
Page 2
Name:
Class:
Date:
Unit 01 PC Form E
5.
(1.2, 1.3, 1.4, 1.6, 1.9) Use pencil and paper to answer the question.
List all the factors of 20.
Circle the factors that are prime numbers.
_____________________________________________________________
ANSWER:
1, 2, 4, 5, 10, and 20
2 and 5 are circled.
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Name:
Class:
Date:
Unit 01 PC Form E
6.
(1.2, 1.3, 1.4, 1.6, 1.9) Use pencil and paper to answer the question.
Suppose you are playing Factor Captor on the number grid below. The crossed-out numbers have
already been picked.
Which number would you choose next? ____________
Why? _____________________________________________________________
__________________________________________________________________
__________________________________________________________________
ANSWER:
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Answers vary.
Sample answer: I would choose 15.
There are no factors of 15 that my opponent can choose
.
This is my best option.
Page 4
Name:
Class:
Date:
Unit 01 PC Form E
7. (1.4, 1.6, 1.9) A calendar of a month with 31 days is shown. Use the following clues to figure out the
date that Tierra Rica School won its last football game.
The date is not an even number.
The date is not a square number.
The date is not a prime number.
The date is a multiple of 9.
On which day did the school win its last football game? ________
ANSWER:
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27
27th
Page 5
Name:
Class:
Date:
Unit 01 PC Form E
8.
(1.1, 1.5) Use pencil and paper to answer the question.
Write an 8-digit number that has:
5 in the hundreds place,
9 in the hundred-thousands place,
2 in the tens place,
6 in the hundredths place,
and 0 in all other places.
____ ____ ____ , ____ ____ ____ . ____ ____
Write this numeral in words.
_____________________________________________________________
_____________________________________________________________
ANSWER:
9.
900,520.06; nine hundred thousand, five hundred twenty, and six hundredths
(1.9) Use pencil and paper to answer the question.
Write the prime factorization for 36.
__________________
ANSWER:
10.
2
2
3
3
(1.9) Use pencil and paper to answer the question.
Write the prime factorization for 60 using exponents.
__________________
ANSWER:
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Class:
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Unit 01 PC Form E
11.
(1.9) Use pencil and paper to answer the question.
a. Write the prime factorization for 24.
__________________
b. Write the prime factorization of 24 using exponents.
__________________
ANSWER:
12.
a. 2
b.
2
2
3
(1.7, 1.8, 1.9) Use pencil and paper to answer the question.
Fill in the missing numbers.
a.
b.
= ________
d.
= ________
ANSWER:
13.
a. 64
d. 36
e.
= ________
= ________
c. 49 = ________
f.
= ________
b. 100
e. 81
c. 7
f. 5
(1.4, 1.5) Use pencil and paper to answer the question.
Write a number between 100 and 200 that is divisible by 3 but not by 2.
____________
ANSWER:
14.
Sample answer: 129
A number is divisible by 2 if it is an even number (ends in 0, 2, 4, 6, or 8), so answer must
be an odd number.
A number is divisible by 3 if the sum of its digits is divisible by 3.
(1.4, 1.5) Use pencil and paper to answer the question.
Write a number between 300 and 400 that is divisible by 2, 3, and 5.
____________
ANSWER:
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Sample answer: 330, 360, or 390
The number must end in 0 and the sum of its digits is divisible by 3.
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Unit 01 PC Form E
15.
(Open Response Unit 1 Skills) Use pencil and paper to answer the question.
Divisibility
The Oakland School 5th graders were doing a play. There was a big dance scene with dancers in
rows.
Use these hints to figure out how many dancers there were.
Hint 1:
Hint 2:
Hint 3:
Hint 4:
Hint 5:
There were 36 fifth graders in the school, but they did not all dance.
When the dancers rehearsed in rows of 2, every dancer was in a row.
When the dancers rehearsed in rows of 3, every dancer was in a row.
When the dancers rehearsed in rows of 4, every dancer was in a row.
When the dancers rehearsed in rows of 5, four dancers were left to dance
alone.
How many dancers could have been in the dance scene? ________ dancers
Explain how you got your answer.
__________________________________________________________________
__________________________________________________________________
__________________________________________________________________
ANSWER:
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24 dancers
Sample explanation: Because of Hint 2, the number must be even.
Because of Hint 3, the number is a multiple of 3.
Because of Hint 4, the number is a multiple of 4.
Because of Hint 5, the number is not a multiple of 5.
Because of Hint 1, the number must be less than 36.
The only number less than 36 that satisfies all of these hints, is 24.
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