Problem Solving
Tasks
Grade 4
__________________________________________________
Name
2
Unit 1
Tom wrote the number 36,648. He said that the 6 on the left was 10 times the value of the 6 on the
right. Do you think Tom is correct? Explain your thinking.
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
The cost of tuition at Cornell University is $43,000 per year when rounded to the nearest thousand.
What is the greatest possible amount the tuition could be? What is the least possible amount the
tuition could be? Explain your thinking.
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
Wicomico County Public Schools
3
Unit 1
One astronomical unit, or 1 AU, is the approximate distance from the earth to the sun. The following
are the approximate distances from earth to nearby stars given in AUs:
Alpha Centauri is 275,725 AUs from earth.
Proxima Centauri is 268,269 AUs from earth.
Epsilon Eridani is 665,282 AUs from earth.
Barnard’s Star is 377,098 AUs from earth.
Sirius is 542,774 AUs from earth.
List the names of the stars and their distances in AUs in order from closest to farthest from earth.
A baseball stadium sold some burgers: 2,806 were cheeseburgers and 1,679 burgers didn’t have
cheese. How many burgers did they sell in all? Use a tape diagram to show your work.
Wicomico County Public Schools
4
Unit 1
Norfolk, VA has a population of 242,628 people. Baltimore, MD has 376,865 more people than
Norfolk. Charleston, SC has 496,804 less people than Baltimore.
a. What is the total population of all three cities? Draw a tape diagram to model the word
problem. Then solve the problem.
b. Round to the nearest hundred thousand to check the reasonableness of your answer for the
population of Charleston, SC.
c. Record each city’s population in numbers, in words, and in expanded form.
d. Compare the population of Norfolk and Charlestown using >, <, or =.
e. Eddie lives in Fredericksburg, VA, which has a population of 24,286. He says that Norfolk’s
population is about 10 times as large as Fredericksburg’s population. Explain Eddie’s thinking.
Wicomico County Public Schools
5
Unit 1
Brianna and Dylan were given the six digit cards
shown to the right. They each had to create a
different number using all of the digits. Below
are the numbers that Brianna and Dylan have
started to create.
4
3
5
6
8
2
Brianna’s number
5
4
8
______ _____ _____
Dylan’s number
, _____ _____ _____
4
______ _____ _____
5 _____
8 _____
, _____
Which of the digits in Brianna’s number has a value that is 10 times the value of the same digit in
Dylan’s number? Place a  next to all that apply.
_____ 4
_____ 5
_____ 8
Explain how you decided which of Brianna’s digits had a value that was ten times the value of the same
digit in Dylan’s number.
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
Wicomico County Public Schools
6
Unit 1
Louisiana State University’s Football Stadium has a seating capacity of 92,542.
a. According to the 2010 census, the population of San Jose, CA was approximately ten times the
amount of people that LSU’s stadium can seat. What was the population of San Jose?
b. Write the seating capacity of the LSU stadium in words and in expanded form.
c. Draw two separate number lines to show how to round the LSU stadium’s seating capacity to
the nearest ten thousand and to the nearest thousand.
d. Compare the stadium’s seating rounded to the nearest ten thousand and the seating rounded
to the nearest thousand using >, <, or =.
Which estimate (rounding to the nearest ten thousand or nearest thousand) is more accurate? Use
words and numbers to explain.
Wicomico County Public Schools
7
Unit 2
Look at the highway signs below. Circle each highway sign whose number is prime.
The four highway signs below lost their numbers. Each highway number is a composite number that is
larger than 40 and less than 50. Fill in the signs with four different composite numbers that are
between 40 and 50.
A store sells many different sized banners. Amy wants to buy a banner with an area of 54 square
inches. What are all of the possible dimensions for a banner with this area?
Wicomico County Public Schools
8
Unit 2
Tyrone bought a water park ticket. He paid $11 for lunch. Tyrone spent $34 in all. Write an equation
that can be used to find x, the cost of the water park ticket.
Sheri plays with her grandmother’s basket of black and white buttons. She arranges them in the pattern shown
below.
Draw the fourth figure in Sheri’s pattern.
How many white buttons does Sheri need for the 5th and 6th figures in her pattern?
5th ____________
6th ___________
How many buttons will Sheri need to make the 11th figure? Explain your thinking.
Wicomico County Public Schools
9
Unit 2
What equation is represented by the area model below?
The fourth grade is going on a field trip to the Shorebirds Stadium. There are 133 students, 6 teachers
and 14 parents riding the buses to the stadium. If a row in the stadium seats 9 people, how many rows
must the school reserve for this field trip? Explain your thinking.
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
Wicomico County Public Schools
10
Unit 2
Lily and Matthew sold baked goods at their school’s fair. Lily made brownies, and she put them into
packages that held 4 brownies each. Matthew made brownies also, but he put them in packages that
held 6 brownies each.
Lily said, “I sold over 30 brownies.” Matthew said, “I sold over 30 brownies also.” When they
compared the amount they sold, they found that they each sold a different number of brownies. How
many brownies could Lily and Matthew each have sold? Identify possible amounts that Lily and
Matthew could have sold. Use the space below to show your thinking.
The math club sold raffle tickets for candy bars. The tickets were numbered from 14 – 65. All of the
tickets with prime numbers were winning tickets. If each winner receives 2 candy bars, how many
candy bars will they need? Explain your thinking.
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
Wicomico County Public Schools
11
Unit 2
Write the missing factors and product for this model.
Explain how you found the
missing numbers.
10
3
200
60
40
Julie created a pattern that doubles the previous number. The first number is 7. How many of the first ten
numbers in Julie’s pattern are odd?
Wicomico County Public Schools
12
Unit 2
The baker uses boxes of different sizes to carry her goods.
On Monday she baked 24 of everything.
Cookie boxes hold 12 cookies.
How many boxes did she need?
Donut boxes hold 4 donuts.
Muffin boxes hold 2 muffins.
cookie boxes ____________ donut boxes ____________
Bagel boxes hold 6 bagels.
muffin boxes ____________ bagel boxes ____________
On Tuesday she baked just bagels. She filled 7 boxes.
How many bagels did she make? ____________
On Wednesday she baked 42 cookies.
How many boxes did she fill? ____________
How many cookies were left over? ____________
On Thursday she baked 32 of just one item and she filled 8 boxes.
What did she bake on Thursday? _______________________________
Wicomico County Public Schools
13
Unit 2
Playground
1. The area of the playground is 200 square yards. What is the missing dimension?
Show your work.
2. The students would like a fence to be put around the area to stop balls going too far.
How many yards of fence will be needed?
____________ yards
Show your work.
3. The girls say that the boys take up too much space with their ball games.
They want the area to be split into two equal parts. Here are two possible ways of dividing the area.
What are the perimeters of these areas?
A = _____________yards
B = _____________yards
Wicomico County Public Schools
14
Unit 2
Last year Mr. Petersen’s rectangular garden had a length of 5 meters and an area of 20 square
meters. This year he wants to make the garden three times as long and two times as wide.
a. Solve for the length of last year’s garden using the area formula. Then, draw and label the
measurements of this year’s garden.
Last Year
5m
This Year
20
square
meters
_____ m
b. How much area for planting will Mr. Petersen have in the new garden?
Wicomico County Public Schools
15
Unit 2
A new grocery store is opening next week.
The store’s rectangular floor is 42 meters long and 39 meters wide. How many square meters of
flooring do they need? Use estimation to assess the reasonableness of your answer.
The store ordered small posters and large posters to promote their opening. Twelve times as many
small posters were ordered as large posters. If there were 48 large posters, how many more small
posters were ordered than large posters?
Uniforms are sold in packages of 8. The store’s 127 employees will each be given 3 uniforms. How
many packages will the store need to order?
There are 3 numbers for the combination to the store’s safe. The first number is 17. The other 2
numbers can be multiplied together to give a product of 28. What are all of the possibilities? Write
your answers as a multiplication equation.
Wicomico County Public Schools
16
Unit 2
Devon is working on a multiplication problem. He tells his teacher that he found an easier way to solve the
problem. Circle the expression that cannot be used to solve 18 x 12. Explain your thinking.
18 x 12
10 x 10 + 8 x 2
12 x 10 + 12 x 8
12 x 9 + 12 x 9
18 x 6 + 18 x 6
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
Wicomico County Public Schools
17
Unit 2
Consider the following sequence: 1, 4, 7, 10, 13. Is 100 a member of this sequence? Explain your
reasoning.
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
Sam read for 5 minutes on Monday, 10 minutes on Tuesday and 20 minutes on Wednesday. If this
pattern continues how long would Sam have read for, in total, by Friday? Explain your thinking.
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
___________________________________________________________________________________________
Wicomico County Public Schools
18
Unit 2
Show a number sequence where each number is eight more than the previous number. Record
another number sequence where each number is six less than the previous sequence. Each sequence
must have at least ten numbers.
Mr. Thomas paid $596 to rent a photo booth for the Fall Festival. At the festival, 206 people paid $2 each to use
the photo booth. What is the best estimate of how much profit was made after paying the $596 rental fee?
Show your work.
Wicomico County Public Schools
19
Unit 2
A company makes blankets. They sew a decorative ribbon around all 4 sides of each blanket. The
blankets are 60 inches long and 25 inches wide. How many inches of ribbon are needed for 9 blankets?
Show your work and explain how you know you are correct.
Wicomico County Public Schools
20
Unit 3
Lauren and her family just adopted a dog, and
her mom asked her to run to the pet store and
pick up some dog food. Lauren found a food she
thought her dog would like, Doggy Delight. Next
to the food was a chart (shown to the right) that
listed the bag sizes and the weight of each bag size.
Doggy Delight Dog Food
bag size
weight
extra-small
3 lbs
small
5 lbs
medium
9 lbs
large
15 lbs
extra-large
20 lbs
jumbo
30 lbs
Compare the weight of each bag. Then, read
the statements below about the bags. Circle the
letter T or F next to each statement to show if
it is true or false.
1.
T
F
2.
T
3.
T
F
The medium bag’s weight is 6 times the weight of the extra-small bag.
4.
T
F
The jumbo bag weighs 10 times as much as the extra-large bag.
5.
T
F
The extra-large bag weighs 4 more pounds than the small bag.
6.
T
F
The jumbo bag is 6 times as heavy as the small bag.
7.
T
F
The small bag weighs 2 times as much as the extra-small bag.
8.
T
F
The medium bag weighs 4 pounds more than the small bag.
9.
T
F
The large bag’s weight is triple the weight of the small bag.
10. T
F
The extra large bag’s weight is 15 pounds more than the small bag’s weight.
11. T
F
The extra large bag weighs 11 times as much as the medium bag.
12. T
F
The large bag’s weight is 5 times the weight of the extra-small bag.
F
The large bag weighs 6 more pounds than the medium bag.
The jumbo bag is 2 times as heavy as the large bag.
Wicomico County Public Schools
21
Unit 3
Last year 284 injured animals were helped and released back into the wild. This year 3 times as many
animals were released. How many animals were released over the 2 years?
Rick has 24 markers. The markers are either green or blue. He has 3 times as many green markers as
blue markers. How many blue markers does Rick have? Show your work or explain how you know.
Wicomico County Public Schools
22
Unit 3
In Jacob’s yard, there is an apple tree and a pear tree. The apple tree is 4 times as tall as the pear tree.
Which pairs of height below could describe the apple and pear trees? Put a  in the box next to each pair
of heights that could describe the trees’ sizes.
apple tree: 24 feet
pear tree: 20 feet
apple tree: 16 feet
pear tree: 4 feet
apple tree: 36 feet
pear tree: 32 feet
apple tree: 8 feet
pear tree: 32 feet
apple tree: 20 feet
pear tree: 5 feet
apple tree: 12 feet
pear tree: 3 feet
apple tree: 24 feet
pear tree: 6 feet
apple tree: 40 feet
pear tree: 10 feet
apple tree: 8 feet
pear tree: 4 feet
The apple tree gives more fruit than the pear tree because it is larger. This year, Jacob collected 6 times as
many apples as pears. If he collected over 10 pears, how many apples could he have collected? Fill in the
blank to tell how many apples Jacob might have collected, and then use the space below to show how you
came up with your answer. You may show your thinking using words, numbers, and/or pictures.
Jacob could have collected _______ apples
Wicomico County Public Schools
23
Unit 3
Last weekend, Cassidy, Jefferson, and Braden played three basketball
games against their cousins, Sammy, Kara, and Mitchell. The chart to the
right shows how many baskets each were able to make during their three
games.
player
# of
baskets
Cassidy
24
Jefferson
18
Braden
8
Sammy
6
Kara
36
Mitchell
3
Fill in each blank with a player’s name or a number to make each
comparison statement true. Below each comparison statement, write
a multiplication equation to show that the statement is true.
statement:
________________ made three times as many baskets as Sammy.
multiplication equation: _______________________
statement: Cassidy made ______ times as many baskets as Mitchell.
multiplication equation: _______________________
statement: Jefferson made _____ times as many baskets as _______________.
multiplication equation: _______________________
statement: Sammy made double the number of baskets _____________ made.
multiplication equation: _______________________
Wicomico County Public Schools
24
Unit 3
Pet Training Sign-Up Sheet
Josh, Olivia, Brandon, Steve, and
Maddy are all friends. Since each
of them has a dog, the five of them
have decided to enroll in a dog
training class with their pets.
owner
dog
weight
Josh
Bruiser
________ lbs
Olivia
Max
________ lbs
Brandon
Princess
________ lbs
Steve
Duke
________ lbs
Maddy
Snapple
________ lbs
On the first day of class, the kids
had to write their names, their
pets’ names and their pets’ weights
on the sign-up sheet.
Below are clues to the dogs’ weights.
Use the clues to figure out what each
dog weighs. Show your thinking as
you work through the clues. Then,
fill in the chart to tell how many
pounds each dog weighs.
clue 1: Bruiser weighs 4 times as much as Princess.
clue 2: Snapple weighs 3 more pounds than Brandon’s dog.
clue 3: Duke’s weight is 5 pounds more than Max’s weight.
clue 4: Steve’s dog weighs 4 times as much as Snapple.
clue 5: Max is 5 times heavier than Princess.
clue 6: Olivia’s dog weighs 7 pounds more than Bruiser.
clue 7: Snapple weighs 10 pounds.
Wicomico County Public Schools
25
Unit 3
Hannah was doing a report on animals’ sleep habits. She made the charts below to show the number
of hours certain animals usually sleep each day.
animal
bat
mouse
guinea pig
possum
gray seal
hours of sleep
20 hours
12 hours
9 hours
18 hours
6 hours
animal
tiger
horse
cheetah
cow
goat
hours of sleep
16 hours
3 hours
12 hours
4 hours
l5 hours
Fill in the blanks to make the statements true.
A possum sleeps ______ times as many hours a day as a guinea pig.
A bat sleeps ______ times as many hours per day as a cow.
Write a multiplication equation to show the relationship between the length of time a gray
seal sleeps and the length of time a possum sleeps.
________ x ________ = ________
When Hannah was reading about donkeys, she said, “I can’t believe that goats sleep 5 times as many
hours per day as donkeys.” Find the number of hours per day a donkey sleeps. Show your thinking
below using words, numbers, and/or pictures.
A donkey sleeps _______ hours per day.
Wicomico County Public Schools
26
Unit 4
Jay and Anna go to the pie shop. They each get apple pies that are the same size. Jay eats 2/3 of his pie.
Anna eats ¾ of her pie. Jay says they ate the same amount of pie, but Anna says that she ate more.
Who is correct? Use a model and words to explain your answer.
Carter was running a 3 mile race. There was a water station every ½ mile. How many water stations
were there in the race?
Wicomico County Public Schools
27
Unit 4
The chart shows the amount of sugar used to make one quart of different flavored ice cream.
Write the flavors in order from greatest amount of sugar to least amount of sugar.
Flavor
Amount of Sugar
in Cups
Vanilla
3
Strawberr y

Rocky Road
Peanut
Butter
4 cups
5
2


1 cups
2
1 cups
4
1 cups
8

Chocolate ice cream has more sugar than the other ice cream flavors listed in the chart. How much
sugar could be in chocolate ice cream?
Cookie dough ice cream has less sugar than Rocky Road ice cream but more sugar than strawberry ice
cream. How much sugar could be in cookie dough ice cream?
Wicomico County Public Schools
28
Unit 4
The chart to the right shows data Anna collected about butterfly wingspans.
Compare the wingspan of the Milbert’s Tortoiseshell and the
Zebra Swallowtail using >, <, or =.
Butterfly
Monarch
Three butterflies have the same wingspan. Explain how you
know the measurements are equal.
Milbert’s Tortoiseshell
Zebra Swallowtail
Viceroy
Postman
Purple Spotted
Swallowtail
Julia
Southern Dogface
Tiger Swallowtail
Regal Fritillary
Wicomico County Public Schools
Wingspan
(inches)
7
3
8
5
2
8
1
2
2
6
2
8
3
3
8
2
2
8
2
3
4
3
2
8
1
3
2
4
3
8
29
Unit 5
Mrs. Logan went to the school bake sale to buy some brownies. All of the pans of brownies are square.
A pan of brownies cost $12. Customers could buy any fractional part of a pan and pay that fraction of
$12. Complete the table below to show the costs of different sized purchases.
Fraction of Pan of Brownies
Cost
1
$12
1
2
1
4
1
6
You have 3 pizzas left over after a party. Your dad wants to store the leftovers in plastic containers.
Each container will hold 2/3 of a pizza. How many containers will you need?
Wicomico County Public Schools
30
Unit 5
The chart to the right shows data Anna collected about butterfly wingspans.
What is the difference in wingspan between the widest and narrowest butterflies on the chart?
Anna wants to display a Postman and Viceroy side-by-side in a
photo box with a width of 6 inches. Will these two butterflies fit?
Explain how you know.
Butterfly
Monarch
Milbert’s
Tortoiseshell
Zebra Swallowtail
Viceroy
The Queen Alexandra Birdwing can have a wingspan that is 5
times as wide as the Southern Dogface’s. How many inches can
the Birdwing’s wingspan be?
Postman
Purple Spotted
Swallowtail
Julia
2
Anna discovered a pattern. She started with 2 8 inches and added
1
8
Southern Dogface
inch to each measurement. List the next four measurements in
her pattern. Name the five butterflies whose wingspans match
the measurements in her pattern.
Create a line plot to display the data in the table.
Wicomico County Public Schools
Tiger Swallowtail
Regal Fritillary
Wingspan
(inches)
7
3
8
5
2
8
1
2
2
6
2
8
3
3
8
2
2
8
2
3
4
3
2
8
1
3
2
4
3
8
31
Unit 5
Mike’s Pizza Place
Mike’s Pizza Place sells slices that are ¼ of the pizza. The table below shows their sales for one week.
Fill in the missing information in the table below.
Day of the Week
Monday
Tuesday
Wednesday
Thursday
Friday
Slices of Pizza Sold
Amount of Pizza Sold
2
6
3
7
8
Saturday
3
Explain how you determined how many pizza pies were sold each day.
_____________________________________________________________________________________________
_____________________________________________________________________________________________
_____________________________________________________________________________________________
_____________________________________________________________________________________________
_____________________________________________________________________________________________
Wicomico County Public Schools
32
Unit 5
Ray, Robin, and Freddy went fishing.
1
a. They spent 6 of their money on water,
4
6
of their money on lunch, and the rest on worms. What
fraction of their money was spent on worms? Draw a model and write an equation to solve.
1
3
1
b. Robin noticed her water bottle was 2 full and Freddy’s was 4 full. Robin said, “My 2 full bottle has
3
1
3
more water than your 4 full bottle.” Explain how 2 bottle could be more than 4 bottle.
3
c. Ray, Robin, and Freddy each had identical containers of worms. Ray used 8 container. Robin
6
7
used 8 container, and Freddy used 8 container. How many containers of worms did they use?
d. Express the number of remaining containers as a product of a whole number and a unit fraction.
e. Six out of the eight fish they caught were trout. What is another fraction equal to 6 eighths?
Write a number sentence and draw a model to show the two fractions are equal.
Wicomico County Public Schools
33
Unit 5
Mrs. Johnson’s class visited the animal shelter to see the animals that were available for adoption. They
counted 24 animals in all. 1/3 of the animals were dogs. The rest of the animals were cats.
How many dogs were at the shelter?
How many cats were at the shelter?
Use <, >, or = to compare the following expressions. Explain your thinking.
1
2
1
3
+
+
1
4
1
2
________
________
1
3
1
3
+
+
1
5
1
4
Wicomico County Public Schools
34
Unit 5
Dennis and Cody are building a castle out of plastic building blocks. They will need 2
1
buckets
2
of blocks for the castle they have in mind. Dennis used to have two full buckets of blocks but
3
lost some and now has 1 4 buckets. Cody used to have two full buckets of blocks too, but now
1
has 1 buckets. If Dennis and Cody combine their buckets of blocks, will they have enough to
4
build their castle? Show your work.
Wicomico County Public Schools
35
Unit 6
Maya puts groceries into bags. The items and their weights in kilograms are given below.
Bread
Bananas
Cheese
Carrots
Grapes
Eggs
0.25
0.34
0.56
25
100
56
100
34
100
a. Plot the weight of each item on the number line below.
0
1
b. Write a number sentence using decimals to record the weight of the bananas in expanded form.
c. Write a number sentence using fractions to record the weight of the grapes in expanded form
Wicomico County Public Schools
36
Unit 6
Answer the following questions about a track meet.
a. The times of the 5 fastest runners were 7.11 seconds, 7.06 seconds, 7.6 seconds, 7.90 seconds,
and 7.75 seconds. Locate these times on the number line. Record the times as decimals and
fractions. One has been completed for you.
7.11
7
11
100
7
8
b. Natalie threw a discus 32.04 meters. She threw 3.8 meters farther on her next throw. Write a
statement to compare the two distances that Natalie threw the discus using >, <, or =.
Wicomico County Public Schools
37
Unit 6
At the concession stand, Marta spent 89 cents on a bottle of water and 5 dimes on a bag of chips.
Shade the area models to represent the cost of each item.
Write a number sentence in fraction form to find the total cost of a water bottle and a
bag of chips. After solving, write the complete number sentence in decimal form.
Brian and Sonya each have a container. They mark their containers to show tenths. Brian
and Sonya each fill their containers with 0.7 units of juice. However, Brian has more juice
in his container. Explain how this is possible.
Wicomico County Public Schools
38
`
Unit 6
1
1
of a dollar and a penny is 100 of a dollar. What fraction of a dollar is 6 dimes and 3
10
pennies? Write your answer in both fraction and decimal form.
A dime is
Explain why
6
10
=
60
100
.
Use pictures to illustrate your explanation.
Wicomico County Public Schools
39
Unit 7
Marvin has 3 cousins in Michigan whose birthdays are all in February. He wants to send birthday
presents to all three of them. Because the delivery company cannot send a box heavier than 10 kg, he
had to weigh the three presents he bought. Their weights were 4 kg 700 g, 2 kg 800 g, and 3 kg 200 g.
Can he put all three presents in one box? Why or why not?
There are 5 clown shows at the circus. A new show starts every 30 minutes. The first side show begins
at 3:45. What time will the last show start?
Wicomico County Public Schools
40
Unit 7
Billy has been training for a half-marathon. He has a strict gym routine that he follows six times a week. For
the problems below, use tape diagrams, numbers, and words to explain each answer.
a. Each day Billy runs on the treadmill for 5 kilometers and runs on the outdoor track for 6,000 meters. In
all, how many kilometers does Billy run each day?
b. Since Billy has started training, he has also been drinking more water. On Saturday, he drank 2 L 755 mL
of water. On Sunday, he drank some more. If Billy drank a total of 4 L 255 mL of water on Saturday and
Sunday, how many milliliters of water did Billy drink on Sunday?
c. Since exercising so much for his half-marathon, Billy has been losing weight. In his first week of training,
he lost 2 kg 530 g of weight. In the following two weeks of training, he lost 1 kg 855 g per week. Billy now
weighs 61 kg 760 g. What was Billy’s weight, in grams, before he started training? Explain your thinking.
Wicomico County Public Schools
41
Unit 7
Kim is participating in a bass fishing tournament. In order to advance to the final round, the total weight
of the fish she catches must be more than 5 pounds. Kim caught 4 fish that weighed as follows: 1 lb 6 oz,
13 oz, 1 lb 7 oz, and 1 lb 4 oz. Can Kim go on to the final round?
Camille has 6 water balloons. Each is filled with 4 fluid ounces of water. Bibi has 5 balloons. Each is filled
with 1 cup of water. Whose balloons contain the most water?
Wicomico County Public Schools
42
Unit 7
a. Complete the table.
b. Describe the rule for
converting yard to inches.
c. How many inches are in 15 yards?
d. Jacob says that he can find the number of inches in 15 yards by tripling the number of inches in 5
yards. Does his strategy work? Why or why not?
e. A blue rope in Garret’s camping backpack is 6 yards long. The blue rope is 3 times as long as a
red rope. A yellow rope is 2 feet 7 inches shorter than the red rope. What is the difference in
length between the blue rope and the yellow rope?
Wicomico County Public Schools
43
Unit 7
Jack and Abby are in swim class together. They challenged each other to see who could hold their
breath underwater the longest.
Jack and Abby’s coach, Coach Foster, timed them with a stopwatch when they went underwater. Jack
1
stayed underwater for 10 seconds, while Abby was able to stay under for 14 seconds.
4
Label the number line to show the amount of time Jack and Abby each stayed underwater.

8
9
10
11
12
13
14
15
16
# of
seconds
How much longer could Abby stay underwater
than
Jack? ___________________________
Coach Foster told the kids that he was a champion swimmer, and he used to train himself to hold his
breath. The longest he was ever able to hold his breath was three minutes. How much longer would
Abby have to hold her breath underwater to match Coach Foster’s time? Explain your thinking using
words, numbers, and/or symbols.
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
________________________________________________________________________
Wicomico County Public Schools
44
Unit 8
Look at the figures below. Make the next two squares in the pattern. Explain how the pattern is
growing.
Mrs. Bloom gives Heather, Nancy, Anna, Karen, and Lynn a challenge. She wants the girls to look of the first
letter of their names and count the number of angles. The girls need to put themselves in order from the least
number of angles to the greatest number of angles. Write the names in the correct order below. Explain your
thinking.
Wicomico County Public Schools
45
Unit 8
Use sketches and your knowledge of time and angles to answer the following:
When a clock reads 3:00, what type of angle is formed by the hour and minute hands?
When a clock reads 7:00, what type of angle is formed by the hour and minute hands?
At what time(s) would a right angle be formed by the hands on a clock? Sketch some possible times on
clocks below.
Wicomico County Public Schools
46
Unit 8
Q, R, and S lie on a line, as do P, R, and T. Find the measure of ∠PRS.
1. Mike drew some two-dimensional figures.
Sketch the figures and answer each part about the figures that Mike drew.
a. He drew a four-sided figure with four right angles. It is 4 cm long and 3 cm wide.
What type of quadrilateral did Mike draw?
How many lines of symmetry does it have?
b. He drew a quadrilateral with four equal sides and no right angles.
What type of quadrilateral did Mike draw?
How many lines of symmetry does it have?
c. He drew a triangle with one right angle and sides that measure 6 cm, 8 cm, and 10 cm.
Classify the type of triangle Mike drew based on side length and angle measure.
How many lines of symmetry does it have?
Wicomico County Public Schools
47
Unit 8
Kylie’s family owns a farm. She and her father
built a fence to create a five-side pen for their
animals. The pen they built is shown to the right.
The fence was built so the corners of the pen make
angles that measure 108º.
108º
Kylie needs to split up the pen to make smaller
sections for different animals. She created the drawings below of three ways to split up the pen.
The dotted line represents the new fence. In each drawing, Kylie has marked one of the angles
created by the fence. Fill in each blank to show the size of the other angle created by the fence.
54º
40º
36º
____ º
____ º
____ º
Kylie’s father created his own design that splits the pen into three sections. He has shown the measure
of two of the three new angles. Tell the measure of the angle represented by d. Then, explain how
you figured out the measure of that angle.
38º
d
36º
_____________________________
_____________________________
_____________________________
_____________________________
_____________________________
_____________________________
_____________________________
_____________________________
Wicomico___
County Public Schools
48
Unit 8
Draw hands on the clocks below to show 4 times. The sum of the angles formed by the hands must
total 360°. Write the measure of each angle under each clock. Justify your work with an equation that
totals 360.
Wicomico County Public Schools
49
Unit 8
Write all of the letters of the alphabet below in capital letters.
Place each letter in the correct column of the chart below. Cross each letter off as you place it in the
chart.
Letters with
NO
Lines of
Symmetry
Letters with
1
Line of
Symmetry
Letters with
2
Lines of
Symmetry
Wicomico County Public Schools
Letters with
More than 2
Lines of
Symmetry
50
Unit 8
Use the clock to answer Parts (a), (b), (c), and (d) below.
a. Use a straightedge to draw the hands as they would appear at 3:00.
b. What kind of angle is formed by the clock hands at 3:00?
c. What time will it be when the minute hand has turned 180°?
d. How many 90° turns will the minute hand make between 3:00 and 4:00?
Wicomico County Public Schools
51
Unit 8
Below is a sign that bikers may encounter while riding in the park. Using the points in the figure below,
identify a line segment, a right angle, an obtuse angle, a set of parallel lines, and a set of perpendicular
lines in the table below.
K
L
STOP
A B C
E
D
F
G
J
H
Line Segment
Right Angle
Obtuse Angle
Parallel Lines
Perpendicular Lines
Wicomico County Public Schools
52
Unit 8
Follow the directions below to draw a figure in the box below. Use a straightedge.
e. Draw 2 points. Label one point as A and the other point as B.
f. Draw ⃡AB.
g. Draw point D that is not on ⃡AB.
h. Draw BD.
i.
̅̅̅̅.
Draw AD
j.
Name an acute angle.______________________________
k. Name an obtuse angle. You may have to draw and label another point.
______________________________
Wicomico County Public Schools
53
Unit 8
Jeff is cutting out block letters to
use on a poster he is making for
the science fair.
He cut the letter A out of construction
paper by following the steps shown
in the drawing: 1) folding the paper
in half, 2) drawing and cutting out
half of the letter, and 3) unfolding the
letter.
Jeff needs to make all of the letters shown below. Circle all the letters that he can make in the same
way that he made the letter A.
Choose one of the letters you circled. Explain how you know that Jeff can make that letter in the same
way he made the letter A.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
Wicomico County Public Schools
54
Wicomico County Public Schools