3rd Grade EOG Practice Homework Name: _________________________________Common Core Standards __3.NF__3.OA__3.MD_

Week 2Word Problem Show your work. Circle your final answer.1. Katie said 1/6 was greater than 1/3 because 6 is

greater than 3.  Katie's teacher asked her to double checker work. Help Katie by drawing a number line and comparing the two fractions.  Is Katie correct?  Why or why not?

2.

Edna left Jake’s party 15 minutes early. She stopped by Wal-Mart to buy Dora a gift. When she climbed back inside of her car, she noticed that the time was 2:47 pm. How long was she inside of Wal-Mart?

Extension- It takes Edna 23 minutes to drive to Dora’s party. Will she make it in time? Use pictures, numbers and words to explain your reasoning.

Use question #2 to help you with question #3.3. Guests at Dora’s party leave as soon as they finish

eating cake. If the guests spend 15 minutes eating cake, how long does Dora’s party last? Explain your thinking using a number line, chart or words.

4. Johnny and Jenuwyn were trying to determine the perimeter and the area of their school garden. They decided to measure the garden in feet.

a. Use the array to the right to find the area of the garden.

b. What is the perimeter of the

garden?

a. The area of their school’s ________________________ is

______square feet.

b. The perimeter of their school’s____________________

is ______ ft.

5. Amber rode in a bike race. Every 6 miles, she stopped for a drink of water at a water station. How many stops did she make after riding:

48 miles?54 miles?60 miles?

Draw a picture and write an equation for each part of the task. Write a sentence explaining how you solved each problem.

Tuesday (3rd Grade)Word Problem Show your work. Circle your final answer.1. For Earth Day, Mark bought 5 recycle bins that cost

$4 each.  He then sold two of the bins for the same price to his friend Karen.  How much money does Mark have left?

2. Micah and Nina were trying to determine the area of this rectangle.

Micah found the rectangle’s area by adding the products of the following equation: 5x8 =a and 2x8=b.

Nina found the area by adding the products of the following equations:7x2 =a and7x6 =b.

For each student, calculate the total area. Is each student correct? Explain why or why not.

Write a sentence to describe another strategy that could be used to find the area of this rectangle.

Micah’s Area- Is Micah correct? Explain below.

Nina’s Area- Is Nina correct? Explain below.

Another Strategy-

3. “ Sharing Licorice”Jorge has 1 foot of licorice to share with his friends. He decides to give each friend 1/4 ft of licorice. Draw lines on Jorge’s licorice to show where he should cut it.

Jorge’s Licorice

0 1

a. How many friends does Jorge have? ______

b. How do you? Explain below.____________________________________________________

____________________________________________________

____________________________________________________

4. Mike went on a trip with his parents. He was bored at lunch, so he counted all of the tires in the parking lot. If Mike counted 36 tires on cars, how many cars were in the parking lot?

If 3 cars left before he began counting, then how manycars were there? How many tires?

Show your work using pictures and numbers. Write aSentence that explains your reasoning.

5. Nathan’s mom has ants in her house! Ants have 6 legs. How many ants could there have been in her house if she saw between 35 and 50 legs?

Draw a picture to the right that shows how you found your solution. Write a sentence to explain your thinking.

If you need help, make a model with manipulatives.

Wednesday (3rd Grade)Word Problem Show your work. Circle your final answer.1. A classroom needsa total of 60 square meters of

carpet for their shared reading corner. They have these two carpets already.

Do they have enough carpet to place in their shared reading corner? ___________

Explain how you know using pictures, numbers and words.

2. “The Jumping Contest”

During recess, some students had a contest to see how far they could jump across the hallway. Kayden jumped 3/6 of the way across. Younes jumped 2/3 of the way, and Cameron jumped 6/6 of the way across.

Part 1: Record a fraction for each letter on the number line below. Write each student’s name above the letter that best represents his jumping distance.

A B C D E F G

Part 2: Explain how you knew where to write each student’s name using numbers and words.

a. Which student jumped halfway across the hallway?______________________________

b. Which student jumped across the entire hallway?_____________________________

3. Extension- Use question #2 to solve the problem below.

If you put Kayden and Younes’s jumps together,would the amount be more or less thanCameron’s jump?

Explain how you knowusing pictures, numbers or words.

4. William wants to build a hamster run for his hamster. He can buy tubes in 6 inch lengths or 4 inch lengths.

Which size tube should he buy if he wants the hamster

Draw a picture or use a number line to help you.

run to be 54 inches? How many tubes would he needto buy?

size of tube number of tubes5. Extension- Use question#4 to answer these

questions.

Which size tube should he buy if he wants the hamsterrun to be 48 inches? ________

How many pieces would he needto buy? ________

Use appropriate manipulatives or tools to model your strategy. Then, draw a picture below.

Thursday (3rd Grade)Word Problem Show your work. Circle your final answer.1. Antonio was making a garden for his mother. He

made the garden shown below. His mother wants to plant tomatoes in a small area of the garden and green beans in a large area.

Divide Antonio’s garden to show where his mom could plant the tomatoes and green beans.

5 feet

5 feet

3 2feet 2 feet

Is there another way to divide the garden in order to plant tomatoes and green beans? Show how you know using pictures, numbers and words.

2.Theresa invented a new see-through cereal box that helps people see how much cereal they have! She wants to put a number line on the box so it’s easy to see the fraction of the box that is full. Theresa marked this box. It is 4/6 full. Help Theresa mark the following fractions on the cereal box’s number line:1 6 3 5 2

6, 6, 6, 6, 6Explain how you decided where to write each fraction on the number line.

Pretend the number line below is the cereal box. Use it to help you figure out where to place each fraction on the cereal box.

3.

Stephanie was using the following yard stick to measure pieces of yarn for her art project. This yard stick shows how much yarn she cut for each color. What fraction of the yarn did she cut for each color?

blue yarn ________

green yarn ________

red yarn ________

4. Use the number line in question #3 to help you solve.

If the unit was divided into fourths, which colors of yarncould Stephanie measure?

What would be the length of each piece of yarn?

Explain your answer using pictures or words.

Are any of the colors equal to ½ of the unit? Explain.

5. Libby is earning some spending money by raking leaves for her grandma. She receives $7 for each trash bag that she fills with leaves.

If Libby wants to earn $52, then what is the least number of bags she must fill?

Use manipulatives, graph paper or a number line to help you draw a picture of your strategy and solution.

4th Grade EOG Practice Homework Name: _________________________________Common Core Standards __4.NF__4.OA__3.MD_

Week of Monday

Word Problem Show your work. Circle your final answer.1. Sam's family went on vacation. The snowy

drive to the mountains took 2¾ hours. However, it only took 1¼ hours to drive back home! What was the total driving time of their trip?

Record your answer two ways- as an improper fraction and a mixed number.

2. Gloria has two trees in her yard- Tree A and Tree B.  Tree A is three times taller than Tree B. Tree B is 7 feet tall.

a. How tall is Tree A? How do you know?

b. How many feet taller is Tree A than Tree B?

c. What fraction of Tree A is Tree B? Explain.

3. Tony has $20 to spend at the carnival.  Admission tickets cost $5 each, and ride tickets cost $1. 50 per ride.  What is the greatest number of ride tickets Tony can purchase after he pays for his admission ticket?

4. Layla is baking cupcakes. She put them in the oven at 5:38 pm. She took them out of the oven at 6:23 pm. How long did the cupcakes bake?

Challenge- Model your strategy on the number line below.

5. Michelle is making fruit punch. She uses 3 quarts of orange juice, 6 pints of pineapple juice and a gallon of berry juice.

After she combines all of the juices, how many gallons of punch will she have?

Extension- 10 students will be sharing the punch. How many cups of punch will each student drink if they all drink the same amount?

Tuesday (4th Grade)Word Problem Show your work. Circle your final answer.

1. John has 40 pencils.  If John has 8 times as many pencils as Jim, then how many pencils do the boys have altogether?

2. Our class is planning a field trip to Camp Thunderbird. The trip will cost $624. The cost of the trip will be shared equally among 24 students. How much is each student required to pay?

3. Some fourth graders are raising money for a community center by collecting coins. The goal for each class is to collect $50.00. Mrs. Yang’s class has collected one fifth of the money needed to reach their goal. How much money has the class collected?

How much more do they need to collect to reach their goal?4. Use problem #3 to help you solve

the problem below.

During Week 1 of the fund raiser, 75 students donated one penny each. During Week 2, four times as many students donated a penny. How many more students donated pennies during Week 2 than Week 1?

What was the total amount collected both weeks?

In addition to the money Mrs. Yang’s class collected, how much money has the fourth graders collected so far?

How much more money do they need to reach their goal?

5. Tony cut a five meter ball of string into four equal-sized lengths. How many centimeters long was each piece of string?

Wednesday (4th Grade)Word Problem Show your work. Circle your final answer.1. Rectangle A has a width of 2 cm and a length of 6

cm. Rectangle B has a width of 4 cm and a length of 12 cm.  How does the width and length of Rectangle A compare to the width and length of Rectangle B?

Hint- Use graph paper to draw a picture of each rectangle. Then, use your picture to explain how the dimensions of Rectangle A differ from the dimensions of Rectangle B.

Extensions- Use a separate sheet of paper to explain.

a. How does the area of Rectangle A compare to the area of Rectangle B? Explain. Use your picture you drew on the graph paper to help you explain.

b. How does the perimeter of Rectangle A compare to the perimeter of Rectangle B? Explain.

2. Compare the relationships between the prices in the first problem. Compare the relationships between the prices in the second problem. What equations can you write to represent these relationships?

Problem #1The cost to download a song is $1.99, and the cost to download an album is $19.99. How much more will you pay to download an album than just one song? What is the relationship between the prices in this problem?

Problem #2An album will cost three times as much to download as a song. If an album costs $12, how much will it cost to download a song? What is the relationship between the prices in this situation?

Problem #1

Problem #2

3. Ms. Morgan’s fourth grade class is making gift bags for their parent volunteers. They have collected bite-sized candy bars which will be distributed equally among each bag. Here is a list of the candy bars they have collected- 47 Almond Joy bars, 33 Milky Way bars and 17 Three Musketeer bars.

a. How many candy bars will be in each bag if there are 17 parent volunteers?

b. How many candy bars will be leftover? ________

4. Use problem #3 to solve this problem.

The class also decided to make a gift bag for their teacher, principal and assistant principal.

How much candy will be in each bag now?

How much leftover candy will they have?

5. A. Write the amount shown below as a mixed number and as an improper fraction.

B. If the representation below had twice as many parts, then what would be the fractional value of

A. B.

each part? Use pattern blocks to help you model. C. How many more thirds are needed to make five wholes? Model your strategy on the number line.

C.

Thursday (4th Grade)Word Problem Show your work. Circle your final answer.1. Students were counting around the class.

The counting rule was to subtract 4 starting at 25.

List the first 5 numbers in their count.

_____, _____, _____, _____, _____

2. There are 96 people going on a trip. They are traveling in small vans. Each van holds 9 people. About how many vans will be needed for all to go on the trip?

Remember NCLB- “No Child Left Behind!”

Extension- What is the difference between your estimate and the actual number of vans needed?

How many more people are needed to fill another van?

3. Our school collected food items for the hurricane victims. We collected 963 cans of food. We divided the cans equally among three shelters.

Which equations below could help you figure out the number of cans each shelter received? Circle the letter for each equation selected.

A. 3 x ∆ = 963B. 963 – 3 = ∆C. 963 ÷ 3 = ∆D. (900 ÷ 3) + (60 ÷ 3) + (3 ÷ 3)

= ∆4. = 8 x 3 24 = 3 x 8

a. 24 is eight times greater than 3. Draw a model to show what this means.

b. Three is ⅛ of 24. Draw a model to show what this means.

Label your models with words and numbers.

A. B.

5. There are 48 chairs in the multi-purpose room.

Draw a picture of each arrangement below. Use numbers to label each picture.

What are can be arranged into equal groups?

How do you know that you have found every arrangement? Explain below.

5th Grade EOG Practice Homework Name: _________________________________Common Core Standards __5.NF__5.NBT__5.MD_

Week of Monday

Word Problem Show your work. Circle your final answer.1. Claudia packed the bottom layer of this box

with 18-inch cubes. The height of the box is 3 in. The width is 2 in.

What is the volume of the box?

Extension- How many more cubes will she need in order to fill the box?

2. Mario put 1.5 quarts of tomato sauce into a pot. How many pints of tomatoes did Mario put inside the pot?

Mario’s recipe called for 8 cups of tomato sauce. Did Mario use too much or too little tomato sauce? Explain.3. Trey wants to draw a rectangle with an area

of 144 square inches.

List at least 3 sets of measurements Trey can use.

Use grid paper to draw each rectangle. Label each rectangle’s dimensions.

Hint- Use the doubling and halving strategy to generate more rectangles.

4. Each of 5 boys ate 2/3 of a pizza. What’s the total amount of pizza the boys ate? Record your answer two ways.

Extension- Half of the pizzas was pepperoni. What fraction of the pizzas was pepperoni?

Use a visual representation to model your answer.

5. Which weighs more- a ton of feathers or a ton of bricks? Explain your answer. __________________________________________________

___________________________________________________

__________________________________________________

Tuesday (5th Grade)Word Problem Show your work. Circle your final answer.1. On his first attempt, a pole-vaulter cleared 3.0

meters. On his second try, the pole-vaulter cleared 45 centimeters more than on his first try. What height, in meters, did the pole-vaulter clear on his second try?

Extension- On his third attempt, the pole-vaulter cleared 4½ meters. How many more centimeters did he clear on his third attempt than on his second attempt?

2. Mike’s cat weighs 12 pounds 9 ounces. How many ounces does his cat weigh?

How do you know? Complete the sentences below the box to explain how you know.

Show your work in the box below.

Mike’s cat weighs ______ ounces. I know because______________________________________________________________________________________________________

3. A company printed 225 magazines on Monday. Each magazine has 350 pages. How many pages did the company print on Monday?

Circle the letter of each expression that can help you find the answer.

A. 225 + 350B. (225 x 300) + (225 x 50)C. (200 x 350) + (25 x 350)D. (200 x 350) + (20 x 350) + (5 x 350)

4. Which of these numbers has the greatest value? Circle the letter that represents your answer.

A. four tenthsB. five hundredthsC. thirty hundredthsD. one hundred thirty-six thousandths

Use decimal grids to the right to support your reasoning.

A. B.

C. D.

5. Moises has ¾ pound of raisins. He puts the same amount of raisins into 4 bags. What amount of raisins did Moises put into each bag?

Lb.

How many ounces of raisins did he put inside each bag?

Oz.

Wednesday (5TH Grade)Word Problem Show your work. Circle or grid your final answer.

1. Sam’s dog, Petunia, has a mass of 10.5 kilograms. One of Petunia’s newborn puppies has a mass of 125 gram. How much more mass does Petunia have than her newborn puppy?

2. Pedro lives 6,750 meters from his school.

How many kilometers does he live from his school?

Extension- How many kilometers is it round trip from his home to his school?

It is ______ kilometers to and from his school.

3. The fourth grade has 152 students. Every student has 18 crayons and15 colored pencils. How many coloring tools do they have altogether?

Extension- 1/8 of the students also have markers. How many students have only crayons and colored pencils?

4. 2/3 of students in McDonalds are wearing suspenders. 2/6 of the suspender-wearing students are also wearing caps. What fraction of the students in McDonalds are wearing suspenders and caps?

Draw a visual representation to help you solve this problem.

5. At a family cookout, 10 people shared 4

monster-sized burgers equally. How much of a sandwich did each person get?

Record your answer as a fraction, decimal and percent.

fraction ______

decimal ______

percent ______

Thursday (5th Grade)Word Problem Show your work. Circle or grid your final answer.

1. Leroy’s favorite basketball player is 6 feet 8 inches tall. How tall is Leroy’s favorite basketball player in inches?

Extension- If Leroy is 4 feet 11 inches tall, how much taller is the basketball player than Leroy? Record your solution in inches.

2. How many 16-gallon jugs would be needed to hold the same amount of water as 56 jugs that hold 20 gallons each?

Show your work and explain your answer.

Extension- How many quart-sized jugs would be needed?

3. Below is a picture that represents 7 + 4.

Draw a model that represents 3 x (7 + 4).

How many times greater is the value of 3 x (7 + 4) than the value of 7 + 4? Explain your reasoning.

Extension- What fraction of the 3 x (7 + 4) model is 7 + 4?

4. purchasing a piece of canvas to paint a self-portrait. The canvas is 4.4 feet wide and 2.05 feet long. In order to determine how much paint he needs for his background

To frame his canvas, John needs to know its perimeter. What is the perimeter?

color, John needs to know the area of his canvas. What is the area of his canvas? Extension- John decides the canvas is too

big, so he cuts it in half. What is the new area and new perimeter of his canvas?

Show your work on a separate sheet of paper.5. Mr. Hayden bought 8 boxes of paint for an

art project. If each box of paint weighs 16.2 ounces, how many pounds of paint did he buy?

Explain your answer using pictures, numbers and words. Grid your solution to the right.