Grade 4 Math Packet

Paquete de Matemáticas de Grado 4

Directions: Each day complete 1-2 worksheets and then play one

math game of your choosing!

Instrucciones: Cada día completar 1-2 hojas de trabajo y luego

jugar un juego de matemáticas de su elección!

Review Questions from Units 1-11

1. When rounded to the nearest thousand, the number of people who attended a

concert is 18,000. Which of the following could be the number of people who

attended the concert?

A. 17,264

B. 17,428

C. 18,135

D. 18,526

2.Devin wrote a number in expanded form, as shown below.

Write Devin’s number in standard form. 3. Nathan is using the area model below to solve a problem.

Which problem is represented by the whole area model?

A.

B.

C.

D.

4. What is the value of the 7 in 472,582?

A. 7 ten thousands

B. 7 thousands

C. 7 hundreds

D. 7 tens

5. A class of 29 students is taking a field trip to the zoo. Each ticket to the zoo costs

$15. Which of these expressions can be used to find the total cost, in dollars, of the

tickets to the zoo?

A.

B.

C.

D.

6. Which of these numbers has a 5 whose value is ten times the value of the 5 in

7359?

A. 5268

B. 4652

C. 3005

D. 2511

7. Darlene has 16 toy spiders. She has one-half as many toy beetles as she has toy

spiders. Which of the following equations can be used to find b, the total number

of toy beetles Darlene has?

A.

B.

C.

D.

8. A diagram of Parvati’s garden and the lengths of all its sides are shown below.

Parvati wants to put a fence around her whole garden. What is the least number of

yards of fence she will need?

A. 24 yards

B. 28 yards

C. 36 yards

D. 48 yards

9. Which of these is true?

A.

B.

C.

D.

10. Conner wrote the equation shown below.

Which statement about Conner’s equation is true?

A. The value of n is 6 less than 8.

B. The value of n is 6 divided by 8.

C. The value of n is 6 greater than 8.

D. The value of n is 6 times as many as 8.

11. The recipe on a box of pancake mix tells how many cups of pancake mix are

needed to make different numbers of pancakes, as shown in the table below.

Pancake Recipe

Cups of

Pancake Mix

Number of

Pancakes

1 8

2 16

3 24

4 32

5

6 ? Based on the information in the table, how many pancakes can be made with 6

cups of pancake mix?

A. 39

B. 40

C. 46

D. 48

12. Brendan made a line plot showing the weekly rainfall, in inches, for his town

one summer. His line plot is shown below.

Which of these expressions can Brendan use to find the difference, in inches,

between the greatest weekly rainfall and the least weekly rainfall that he recorded

for his town?

A.

C.

B.

D.

13. Talia used 672 charms to make key chains for the school fair. She used 7

charms for each key chain she made. What was the total number of key chains

Talia made for the school fair?

A. 86

B. 87

C. 96

D. 97

14. Which of these equations shows that 63 is 9 times as many as 7?

A.

B.

C.

D.

15. Makara wrote the equation shown below.

What number belongs in the to make Makara’s equation true?

A. 362

B. 372

C. 378

D. 438

16. Which of these is equivalent to 68,051?

A.

B.

C.

D.

17. Lee wrote the equation shown below.

What number belongs in the to make Lee’s equation true?

A. 288

B. 614

C. 854

D. 864

18. Corn muffins cost $2 each. Blueberry muffins cost $3 each. Which of the

following equations can be used to find m, the total cost in dollars of 8 corn

muffins and 7 blueberry muffins?

A.

B.

C.

D.

19. Kiril’s clues about a number are shown in the box below.

• It is an even number.

• It is a multiple of 5.

• It is less than 28.

Write a number that fits all of Kiril’s clues.

20. Greta recorded the number of miles she walked each day last week on a line

plot, as shown below.

How many miles in all did Greta walk last week?

A.

B.

C.

D.

21. Which equation is true?

A.

B.

C.

D.

22. Ella collected 5 times as many bugs as Mari. Mari collected 15 bugs.

What was the total number of bugs Ella collected?

23.Andy measured the lengths of seeds from different plants. The lengths, in

inches, of the seeds Andy measured are shown in the table below.

Lengths of Seeds

(in inches)

Which of these line plots correctly shows the information in the table?

A.

C.

B.

D.

24. A pet store needs to put 23 birds into birdcages. Each birdcage can hold 4

birds.

What is the least number of cages the pet store needs to hold all the birds?

A. 7

B. 6

C. 5

D. 4

25. The table below shows the number of lunches sold each day for three days.

Lunches Sold

Day Number of

Lunches

Monday 251

Tuesday 454

Wednesday 298

Which of these has a value that is closest to the total number of lunches sold for

the three days?

A.

B.

C.

D.

26. Mr. Jones put 162 books on the library shelves. There are 6 shelves. He put the

same number of books on each shelf.

How many books did Mr. Jones put on each shelf?

A. 22

B. 26

C. 27

D. 28

27. The picture below shows the pans of cookies that Reggie baked.

Which of the following is another way to write ?

A.

B.

C.

D.

28. Diane has the four number cards shown below.

Diane used two of her cards to make a two-digit number that is a multiple of 4.

What could be the number Diane made?

29. The fraction is shaded on the fraction model below.

Write two different fractions that are each equivalent to .

30. Which model shows a way to multiply 3 by 14?

A.

B.

C.

D.

31. Which of these is true?

A.

B.

C.

D.

32. Jody read the clues below about a mystery number.

• It is a multiple of 2.

• It is a factor of 18.

• It is a composite number.

Which of these numbers could be the mystery number?

A. 2

B. 6

C. 9

D. 12

33. Tameca scored 6 points in a basketball game. Leah scored 3 times as many

points as Tameca in the basketball game. Which equation shows the number of

points Leah scored?

A.

B.

C.

D.

34. What is the value of the expression shown?

5,736 - 4,859

A. 1,877

B. 1,123

C. 977

D. 877

35. Select the three choices that are factor pairs for the number 28.

A. 1 and 28

B. 2 and 14

C. 3 and 9

D. 4 and 7

E. 6 and 5

F. 8 and 3

36. A garden contains only bean plants and tomato plants. There are 5 rows of bean

plants and 6 rows of tomato plants. Each row of bean plants has 13 plants. Each

row of bean plants has 13 plants. Each row of tomato plants has 16 plants.

What is the total number of plants in the garden?

37. Which pair of fractions is equivalent?

38. Ryan makes 6 backpacks. He uses 3

4 yard of cloth to make each backpack.

What is the total amount of cloth, in yards, Ryan uses to make all 6 backpacks?

A. 1

3

and 3

5

B. 2

4

and 3

5

C. 6

10

and 4

8

D. 6

10

and 3

5

Review Open Response Questions from Units 1-11

1. Two weather balloons were launched into the air. Computers tracked the height

of each balloon as it climbed into the air. Computer A recorded the heights of the

first balloon in order from least to greatest, but missed some measurements.

a. Write two numbers that could be heights measured by Computer A as the first

balloon climbed into the air. Make a copy of the table below on your Student

Answer Sheet and place these numbers in the table.

Computer A

Height (feet)

109,392

132,845

153,290

Computer B recorded the heights of the second balloon as it climbed into the air,

but did not put the heights in any order.

b. Make a copy of the tables below on your Student Answer Sheet and place the

heights from Computer B in order from least to greatest in the table.

Computer B Computer B

Least to Greatest

c. Using what you know about ordering and comparing numbers, explain how you

determined how to put the heights in order. You may use words or pictures to

explain your answer.

Height (feet)

319,827

259,382

184,290

251,234

195,283

Height (feet)

2. Mr. Adams runs a soccer program for children. The table shows the number of

children who signed up in groups to play soccer this year.

Group Number Signed Up

8-year-old-girls 34

8-year-old-boys 39

9-year-old-girls 43

9-year-old-boys 47

a. Mr. Adams ordered 150 t-shirts to give to the soccer players. Using estimation,

will there be enough t-shirts?

b. Write a number sentence that shows how you estimated.

c. Mr. Adams wants to know about how many more 9-year-olds signed up than 8-

year-olds. Use estimation to figure this out. Show you work or explain your

answer.

3. The manager at a supermarket arranged 10 rows of cans. He put 4 cans in the

first row, 8 cans in the second row,

and 12 cans in the third row. The manager continued to add 4 cans to each new

row.

a. How many cans did the manager put in the fifth row? Show or explain how

you got your answer.

b. What is the total number of cans the manager arranged in all 10 of the rows?

Show or explain how you got your

answer.

c. Describe the relationship between the row number and the number of cans in

the row.

4. A bus driver travels between Los Angeles and Memphis seven times during one

month. The distance traveled each trip is 1,783 miles.

a. How many miles does the bus driver travel by the end of the month? Use an

equation or words to explain how you found this total.

b. This same driver used to travel between Los Angeles and Chicago seven times

each month. The distance was 2,119 miles.

c. How much further did he travel each month when he traveled between Los

Angeles and Chicago than he does traveling between Los Angeles and Memphis?

Use an equation or words to explain how you found this difference.

5.

6. Mia is watching her two favorite shows at her friend Ma'Kaya's house. One

show is 1 hours and 12 minutes and the other show lasts 2 hours and 57 minutes.

a. How long will it take to watch both shows?

b. Mia and Ma'Kaya started watching the first show at 10:30 a.m. Mia needs to be

home at 3:30 p.m. Once the girls finish both shows, how much time does Mia have

to get home?

7. You just got yourself a paper route to make that $$$$. Every day you ride your

bike the same distance to and from work. If you ride 82 miles in 7 days how far

will you ride in 5 days?

8. Your cousin is taking you and your friends on a boat trip. There are 56 kids, and

each boat holds 9 kids. Your cousin already ordered 3 boats. How many boats does

your cousin still need to order?

9. You want to make your teacher the best Valentine’s Day Card everwith 80

button hearts. You have 53 button hearts on it now. The hearts you are using come

in packs with 6 hearts on each card. How many more packages of hearts do you

need to finish your card?

10.

11.

12. Giselle baked a pan of pepperoni pizza and a pan of broccoli pizza for her

brother’s birthday. Both pans of pizzas were the same size. She sliced the

pepperoni pizza into 3 equal pieces and the broccoli pizza into 12 equal pieces.

a. Draw two rectangular pans of pizza on your Student Answer Sheet to represent

the chocolate and peanut butter brownies pieces.

b. After dinner the same amount of each pan of pizzas had been eaten. If 1 piece

of the pepperoni pizza were eaten, how many pieces of the broccoli pizza were

eaten? Justify your answer using your visual fraction model.

c. Prove your answer with a computational method.

13.

14. Each batch of muffins uses 2/3 cups of sugar. I need to make 6 batches of

muffins.

a. How many cups of sugar will be needed for all 6 batches? Represent the

problem with a visual fraction model.

b. What two whole numbers is your answer between? Show or explain how you

got your answer.

c. The grocery store only sells whole cups of sugar. How many

whole cups should be purchased for the muffins? Justify your reasoning.

Review Games from Units 1-11

* Materials:

For all of the games all yopu will need to make is a set of cards from 1-9

1. Place Value Game:

-How to play:

Have student flip over 3, 4, or, 5 cards

Ask the students to make a specific number.

You can check to see if they've made the correct number.

Then, ask a place value question about the number.

Have them change the number to be the smallest possible number or the greatest

possible number with just those digits flipped.

Example:

You flip over the digits 0, 6, 7, and 8,

Then you say, “Make the number eight thousand sixty-seven.”

The student lines up the numbers to create that number

Then ask questions like:

Which digit is in the hundreds place?

Which digit has the greatest value?

What would we have if we added a thousand to this number?

You can also tell the student to make the greatest possible

number using the digits. (8,760) Or the smallest possible number. (0678)

Notes: This game can be played with numbers as large or small as you'd like.

Students often have the most difficulty with zeros in large numbers.

(example: 1,070 is harder than 1,345)

2. Rounding Game:

Object of the game: To be the first player to make a line of six in a row

horizontally or vertically on the game board.

Number of players: 2

1. To decide who goes first, each player rolls one of the dice. The player with the

highest roll goes first.

2. On your turn, pick up 3 or five cards depending on which board you are using.

3. You may place the cards in any order to create the number.

For example, if you pick up a 4, 1, and 6, you may create 416, 461, 146, 164, 614,

or 641.

•If playing "Rounding Numbers to the Nearest Ten," you'll create a 3-digit number.

•If playing "Rounding Numbers to the Nearest Thousand," you'll create a 5-digit

number.

4. Depending on the game board that you are playing, round the number that you

created to the nearest ten or thousand. Then, cross out that number on the game

board. If your opponent already crossed out that number, you cannot.

3. Factor Game:

1. To start the first round, Player 1 chooses a 2-digit number on the number

grid and places a counter over it. Player 1 then writes down that number on

his/her paper as their score. (Example: Player 1 covers 30 and writes it down

for the score for round 1.)

2. Player 2 then covers all of the factors that of Player 1’s number (Example:

Player 2 covers 2, 3, 5, 6, 10, and 15. All of these numbers are factors of 30.)

Then, Player 2 totals those factors 2 + 3 + 5 + 6 + 10 + 15= 41 and uses that

total for their score.

* A factor may only be covered once during a round.

3. If Player 2 missed any factors Player 1 can then go back and cover them and

add that total to his/her score before the round ends.

4. The next round begins as the players change rolls. Player 2 begins by

selecting a two digit number and Player 1 finds the factors. Any number

that is covered is no longer in play.

5. Play continues with players trading rolls back and forth until all of the

numbers on the grid have been covered. Players then add up their score to

find their totals (If you have used the running total system this is already

done). The player with the higher total score wins.

4. Multiplication Game:

5. Measurement Game:

6. Time Game:

7. Division Game:

8. Area and Perimeter Game:

9. Fraction Game: