Name:______________________________________
Date:____________________________________
Unit 3 Assessment Review Packet
Wednesday 3/7 and Thursday 3/8
Combinations and Probability
1. Hannah was at the ice cream shop. There were two flavors. There were 3 toppings.
Flavors: Chocolate and Vanilla
Toppings: Sprinkles, nuts, and cherries
a. Draw an organized tree diagram to show all of the possible ice cream sundaes Hannah could order.
b. How many different possible ice cream sundaes could Hannah order?______________________
c. If Hannah asked the ice cream shop owner to surprise her with an ice cream sundae, what is the probability that
Hannah would get an ice cream sundae with sprinkles as the topping? Use the tree diagram you made to help
you._________________________________________________
d. If Hannah asked the ice cream shop owner to surprise her with an ice cream sundae, what is the probability that
Hannah would get an ice cream sundae with nuts or cherries as the topping? Use the tree diagram you made to
help you. __________________________________________
Name:______________________________________
Date:____________________________________
2. Juan went to the sneaker store to pick a pair of sneakers. There were four brands of sneakers. There were 5
colors of sneakers.
Brands: Nike, Reebok, Adidas, Puma
Colors: White, Red, Black, Blue, Green
e. Draw an organized tree diagram to show all of the possible sneaker combinations Juan could choose from.
f.
How many different possible sneakers could Juan pick?_________________________________
g. If Juan asked his mom to surprise him with sneakers, what is the probability that Juan would get a pair of
sneakers with Nike as the brand? Use the tree diagram you made to help you.
______________________________________________________________________________
h. If Juan asked his mom to surprise him with sneakers, what is the probability that Juan would get a pair of
sneakers with black or red as the color? Use the tree diagram you made to help you.
______________________________________________________________________________
Name:______________________________________
Adding and Subtracting Decimals
1. Look at the shaded hundred squares below.
Each hundred square represents one.


Shade in the hundred squares to represent the sum.
Write the equation the model represents.
___________________________________________
2. Look at the shaded hundred squares below.
Each hundred square represents one.


Shade in the hundred squares to represent the sum.
Write the equation the model represents.
___________________________________________
Date:____________________________________
Name:______________________________________
Date:____________________________________
1. Solve the following problems
14.00
- 10.56
26.79
+ 39.13
140.02
- 98.78
189.56
+ 297.67
2. Denny has $45.67 and Kenny has $37.89. If they wanted to buy tickets to their favorite concert and combined
their money, how much would they have all together?
Decimals on a Number Line
1. Put the following decimals on the number line.
0.05
0.25
1.2
1.45
0.70
1.75
1.30
0.20
2. Put the following decimals on the number line.
0.08
0.35
Name:______________________________________
Date:____________________________________
Equivalent Fractions
1. Shade in 2/6 of the figures in both models A and B.
Use the models above to write a different fraction that represents 2/6. ___________________
2. Shade in 3/5 of the figures in both models A and B.
Use the models above to write a different fraction that represents 3/5.____________________
3.
Write 2 equivalent fractions for the shaded part of the figure.
___________ = ___________
4.
Write 2 equivalent fractions for the shaded part of the figure.
__________ = ___________
Name:______________________________________
Date:____________________________________
1. Circle the group of fractions below that contain only equivalent fractions for 4/5.
a. 9/10, 20/50, 6/9
b. 8/10, 24/30, 16/20
c. 4/10, 20/50, 8/20
d. 4/6, 8/20, 10/15
2. Circle the group of fractions below that contain only equivalent fractions for 4/9?
a. 6/11, 8/18, 6/9
b. 4/6, 6/9, 17/19
c. 3/8, 6/9, 20/30
d. 8/18, 16/36, 32/72
Use what you know about equivalent fractions to explain how you decided which fractions were equivalent to 4/9. Use
words, pictures, and/or numbers in your explanation.
Decimals in Expanded Form
1. Which of the following numbers written in expanded form is equivalent to 21.54?
a. (2 x 10) + (1 x 10) + (5 x 0.1) + (4 x 0.01)
b. (2 x 100) + (1 x 10) + (5 x 1) + (4 x 0.1)
c. (2 x 10) + (1 x 1) + (5 x 0.1) + (4 x 0.01)
d. (2 x 100) + (1 x 1) + (5 x 1) + (4 x 0.1)
2. Which of the following numbers written in expanded form is equivalent to 345.28?
a. (3 x 100) + (4 x 10) + (5 x 1) + (2 x 1) + (8 x 0.01)
b. (3 x 10) + (4 x 100) + (5 x 1) + (2 x 0.1) + (8 x 0.01)
c. (3 x 100) + (4 x 10) + (5 x 1) + (2 x 1) + (8 x 0.01)
d. (3 x 100) + (4 x 10) + (5 x 1) + (2 x 0.1) + (8 x 0.01)
Mixed Numbers and Improper Fractions
3. Circle the fraction or mixed number that is greater for each pair.
a. 12/10 or
8/10
b. 18/4
6¾
or
Name:______________________________________
c. 6 1/5 or
33/5
d. 9/10
or
2/10
e. 13/4
or
3¾
f.
4 1/5 or
Date:____________________________________
26/5
Ordering Fractions
1. Put the following fractions in order from least to greatest. **Hint: Make all of the improper fractions into mixed
numbers (or all the mixed numbers into improper fractions) before trying to put them in order. It makes it
easier!
16/5
3/5
1/5
12/5
1 4/5
9/5
__________________________________________________________________________________________________
2. Put the following fractions in order from least to greatest. **Hint: Make all of the improper fractions into mixed
numbers (or all the mixed numbers into improper fractions) before trying to put them in order. It makes it
easier!
14/4
1
1/4
17/4
2 3/4
1¼
__________________________________________________________________________________________________
3. Which choice below shows fractions and mixed numbers in order from least to greatest?
A. 1 ¼ , 6/4, 3 ¾ , 13/4, 14/4
B. 1 ¼ , 3 ¾ , 6/4, 13/4, 14/4
C. 1 ¼ , 6/4, 13/4, 14/4, 3 ¾
D. 1 ¼ , 13/4, 14/4, 6/4, 3 ¾
Ordering Decimals
1. Put the decimals below in order from least to greatest. **Hint: Think in terms of money if it helps you!
0.09
0.90
9.90
1.60
1.66
1.06
_______________________________________________________________________________________
Name:______________________________________
Date:____________________________________
2. Put the decimals below in order from least to greatest. **Hint: Think in terms of money if it helps you!
1.21
6.03
1.2
6.3
1.36
1.66
_______________________________________________________________________________________
Relating Decimals and Fractions
1. Mrs. Tong gave a bag of candy to each of her students.
Paul’s bag was marked 0.50 pound.
Brendan’s bag was marked ½ pound.
a. Did Paul get less candy than Brendan?
Circle:
Yes
You may use a
calculator for question
#1
No
b. Use what you know about decimal fractions and common fractions to explain your choice. Use
pictures, words, and numbers in your explanation.
3. Which of the following decimals is equivalent to 7/10?
a. 0.07
b. 7.0
c. 7.10
d. 0.7
4. Mr. Fuddle says that ¼ of a dollar is more than $0.25. Is he correct? Explain why or why not.
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
Name:______________________________________
Date:____________________________________
5. Use the table below to write a decimal number and a decimal fraction to represent each base-ten block picture
below.
A.
B.
C.
Decimal Number
0.06
Decimal Fraction
6/100
A.
B.
C.
Probability
1. Allison puts 6 marbles in a bag. 2 are black and the rest are white.
Write a fraction that shows the probability of drawing a white marble. __________________________
2.
Trey and Teyron are spinning the spinner to see who can earn the most
points. Write a fraction that shows the probability of landing on an even
number on the spinner? __________________________________
3. Aiden and Kelly are playing cards during indoor recess. They draw cards from the deck to determine
their next moves. The deck has 15 cards.
One of the cards is a “Joker” card.
Write a fraction that shows the probability of drawing the “Joker” card. ____________________
Name:______________________________________
Date:____________________________________
Addition of Fractions
1. Each student needs a piece of tape that is 2/5 of a foot long for an art project.

Make a model (draw a picture) to explain how much tape is needed for 3 students.

Write the amount of tape needed for 3 students.__________________________
4. Each student needs a piece of string that is 4/7 of a foot long for a music project.

Make a model (draw a picture) to explain how much string is needed for 5 students.

Write the amount of string needed for 5 students.__________________________
Fraction of a Whole Word Problems
1. There are 27 students in Mr. Smith’s 2nd grade class.
At lunch, 2/9 of the class eats pizza.
How many students eat pizza?________________________________________
Name:______________________________________
Date:____________________________________
2. Joseph works at an animal shelter that has 36 animals in it.
1/3 of the animals are dogs.
How many of the animals are dogs?______________________
4/9 of the animals are cats.
How many of the animals are cats?_______________________
3. There are 21 students in Mr. Smith’s 2nd grade class.
2/3 of the class like PE the most.
How many students like PE the most?________________________________________
Addition of Fractions Using Models
1. Howard is playing in the kitchen at his house. He gets out a measuring cup. He combines the following
ingredients in a bowl:
½ cup of water
2 ½ cups of milk
3 cups of cocoa
Use the cups below to shade in the total amount of ingredients that Howard combined in his bowl. Be sure to fill each
cup completely before putting ingredients in the next cup.
Name:______________________________________
Date:____________________________________
2. Tamara is baking in her kitchen. She gets out a measuring cup. She combines the following ingredients in a
bowl:
¼ cup of water
1 ¾ cups of milk
2/4 cups of cocoa
Use the cups below to shade in the total amount of ingredients that Howard combined in his bowl. Be sure to fill each
cup completely before putting ingredients in the next cup.
Fraction Word Problems
1. Tim and Susie each had a large cake to eat for their birthdays.
Tim ate 4/10 of his cake.
Susie ate 7/10 of her cake.
They put their leftover cake together.
a. What fraction of a cake did they have when they put their leftover cake together?
b. Use what you know about common fractions to explain how you determined your answer. Use
words, pictures, and/or numbers in your explanation.
Name:______________________________________
Date:____________________________________
2. Jessica and Jacob each had a large cake to eat for their birthdays.
Jessica ate 6/7 of her cake.
Jacob ate 4/7 of his cake.
They put their leftover cake together.
c. What fraction of a cake did they have when they put their leftover cake together?
d. Use what you know about common fractions to explain how you determined your answer. Use
words, pictures, and/or numbers in your explanation.
Estimating with Decimals
1. Sophia goes to the store to shop for groceries. Her list and the prices are below:
Name
Eggs
Milk
Chips
Carrots
Rice
Price
$3.49
$4.18
$1.31
$1.77
$5.87
**Remember! Estimate means round!
a. Estimate the total cost of all the groceries on her list.
Estimate the cost of Sophia’s groceries.____________________________
b. Use what you know about estimation to explain how you determined your estimate. Use words and/or
numbers in your explanation.
Name:______________________________________
Date:____________________________________
2. Below are the items on Juan’s grocery list:
Name
Eggs
Juice
Chips
Bread
Grapes
Price
$1.49
$2.18
$2.31
$1.77
$3.87
**Remember! Estimate means round!
c. Estimate the total cost of all the groceries on his list.
Estimated cost____________________________
d. Use what you know about estimation to explain how you determined your estimate. Use words and/or
numbers in your explanation.
Reading Circle Graphs
1. The circle graph below shows the activities students at Smith Elementary School like to do after school.
Name:______________________________________
Date:____________________________________
How many students like to play sports and watch TV?
A.
B.
C.
D.
26
59
64
48
2. The circle graph below shows the activities that use the most water.
What percent of water usage is toilet flushing and showers?
A.
B.
C.
D.
40%
35%
75%
5%