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5th Grade Math
The best way to keep your child prepared for the next year ofschool is to have them actively engaged in educationalactivities all summer.
Have fun with numbers. Find creative ways to practice math:review numbers with your child while you play sports, playgames, shop, calculate time, or follow a recipe together.
Monday Tuesday Wednesday Thursday Friday
Compare the fractions given below. Which is the largest? (Hint: Change the fractions so that they have a common
denominator, and then compare the numerators. The easiest denominator to use in this case is 24.)
32
63
3
8115
12
12
3
22
4
Which fraction is greater?
45
8or
57
12
Explain how you know your answer is correct.
Which of the following is true?
a. 21
3=
7
3b. 2
3
4=
9
4
c. 12
5= 2
1
5d.
21
6= 2
1
6
Iyasia traveled 165.5 miles in 3 hours. On
average, how many miles did she travel each hour?
A developer was buying land. He bought 4 acres at $1,863 per acre. He then
split the land he purchased into 9 lots. How much
should he sell each lot for just to break even?
Which group of numbers is listed in order from greatest to least?
a) 23,041; 23,410; 23,140b) 23,014; 23,140; 23,104c) 23,410; 23,041; 23,140d) 23,401; 23,140; 23,104
Preston began reading a book at 2:15pm. He stopped
reading at 4:30pm. How long was Preston reading
the book?
Round the number to the nearest thousand.
a) 9,999 ___________b) 1246.23 __________c) 6,423 ___________d) 11,857 __________
Dairy Queen sold 25 strawberry milkshakes
and 4025 chocolate dipped cones. How many times as many chocolate
dipped cones did they sell as strawberry milkshakes?
Ryan collected 6 3
4pounds of
seashells at the beach. Tom
collected 117
8pounds of
seashells. How many more pounds did Tom collect than
Ryan? How many total pounds ofseashells did they collect?
Two rectangles are drawn below.
Which shaded part is larger, the half or the fifth? Explain.
Mrs. Thomas has 5 bags of miniature candy bars. Each bag contains 30 candy bars. How many candy bars will each of the 28 students
receive? How many will be left over?
A dollar is equal to 100 pennies. So, 1 penny is one hundredth of a dollar. How
many hundredths of a dollar is 80 pennies? A dollar is equal to 10 dimes, so, 1 dime is one tenth of a dollar. How many tenth of a dollar is 8 dimes?
Jack is 43
8feet tall and
Luke is 51
4feet tall. How
much telling is Jack than Luke? Write an equation
and solve.
Janet wanted to know how many people were watching the movie in the theater, There were 34 rows with
22 seats in each row. Janet noticed that 119 seats were
empty. How many people were watching the movies?
At a yard sale Bruce found 6 buckets of LEGOs with each bucket containing
4,528 LEGO pieces. If her wanted to split the LEGO pieces into 4 piles, how
many pieces should he put into each pile?
What is the area of the surface of the pool? What is the area od the sidewalk that is around
the pool?
35m
25m
List all the factors for 18, 36, and 81
Find the product. Write itin simplest form.
a) 9
27x 4 b)
8
12x 1
2
A square has a perimeter of 12 yards. What is the area
of this square?
Solve:a) 34.8 ÷ 4b) 753 ÷ 64c) 4267 ÷ 6d) 216 ÷ 72
James bought a shirt for $23.12, a tie for $18.24, and a hat for $27.98. He
paid for these items with a $100 bill. How much change
did he receive?
July
30m20m
PoolSidewalk
Grade 5
Monday Tuesday Wednesday Thursday Friday
Lisa scored 8.725 points at a gymnastics meet.
a) Write this number in word form.
b) What digit is in the tenths place?
Find the area and the perimeter
Area: _____ Perimeter: _____
Plot the coordinate points below.
A (3, 4)B (6, 0)C (2, -1)D (-4, -3)E (0, -6)
Round each number to the nearest hundred.
1) 21,507 __________2) 2,172 ___________3) 78,353 __________4) 809,629 _________
Label 2
3and
5
6on a number
line.
Jamie baby- sits almost every weekend. This Friday
she will baby- sit from 5:00p.m. to 9:00p.m. She will be paid $2.50 an hour. How much money will she earn?
Jason’s energy level in a video game is 0.837. Steve’s energy level is 0.841. Who has the higher energy, Jason or Steve? Explain how found your answer.
List 5 fractions that are
equivalent to 2
3.
Write the decimal numberfor each problem.
1) 7 and 5 thousandths2) 5 and 9 tenths3) 87 and 33 hundredths4) 321 and 18 thousandths
Write 15
8, 3
2
7𝑎𝑛𝑑 7
4
5as an improper fraction in simplest form.
Define right angle, acute angle and obtuse angle.
Label the following types of angle.
______ ______ ______
Solve:
1)1
5+
3
10
2)8
12−
1
3
There were 28 adults in line at a movie theater. That is
4 times the number of children in line. How many
children were in line?
At the track meet, Katie’s
first long jump was 41
6yards. Her second long jump
was 32
4yards. How much
longer was her first jump than her second jump?
There are six hundred four thousand, eight hundred seconds in a week. What is this number in standard form? In expanded form?
Which expression has a difference of 3/8?
a. 33
8− 2
2
8b. 3
6
8− 3
3
8
c. 37
8− 3
3
8d. 3
4
8− 2
1
8
Write the symbols < or > in the boxes to make each number sentence true.
1) 45,067 45,081
2) 311,331 313,113
3) 90,000 90,099
Solve:
a) 145 b) 419x 26 x 38
Kenny’s fish tank cost $35.30. The air pump cost $12.50. The rocks for floor
of the tank cost $3.99. Fish food cost $4.25. How
much money did Kenny spend on these items?
It costs Cathy $116 to rent a storage locker each
month. What is the total cost for Cathy to rent this
locker for 2 years?
Erin sorts 720 bottles into 14 crates. Each crate has the same number of
bottles. How many bottles are in each crate?
Draw a line to match each shape with its correct name.
Trapezoid Parallelogram Triangle Square Rectangle Pentagon Circle
August
10cm
8cm
2cm
7cm
Grade 5
side(s) parallel angle(s) attributesperpendicular vertices
What must you do first before adding and subtracting unlike fractions? Whydo you have to do that? Why don’t you have to do that step when you multiply fractions?
Word Bank:common multiply numerators subtractequivalent denominators add re- write
Your teacher gave you a bucket of different shapes. Share two ways that you can organize the shapes into different groups.
Word Bank:
What is the smallest 6-digit number you can make using these digits: 1, 9, 2, 4, 7, 0? Does your answer change if you can only use each digit once? Explain how you know your responses are true.
Word Bank:
place value highest lowest number digit position
When you do math homework, do you think it is important to check your work? Why or why not?
Word Bank:
verify correct learn steps understand review
How are multiplication and division the same?
Word Bank:
multiple product facts family factors multiply divide
I want to buy a pack of pencils that costs 99 cents. How many different ways can I pay with coins?
Word Bank:
quarter nickel dime penny half dollar dollar
Write about all the things you know about squares.
Word Bank:
four parallel vertices angles equal sides right length
Think about the different ways math is used in the kitchen. Describe why you need to understand math in order to cook a meal.
Word Bank:
measure container temperature recipe timer fraction
Practice Makes Perfect
Mastering Math Facts
Fun Math Facts Games Using Flashcards
Multiplication Race Illustrate It!
1. Shuffle a deck of flashcards and deal out all the cards between two (or more) players.
2. Each player flips a card over at the same time to find the product.
3. The player who says his/her product first wins and collects all the cards from that round.
4. When one player is out of cards, the player with the most cards wins.
1. Set the flashcards in a stack, face down.
2. Players take turns drawing a card, naming the product, and placing the card in front of them. They must be in numerical order by the product. For example, “3 x 4” would go to the left of
“2 x 10” because 12 is less than 20.
3. If you draw a card that has the same product as another card you’ve already played, set it on top of the card or next to the card with the same product.
4. When you have 10 different products in a row, you win.
10 in a RowMultiplication Memory Game
1. Set up: Select 10 flashcards and match each of them with the answer card showing the correct product. For example, pair the matching card “24” with “6 x 4”. Note that now you cannot use “3 x 8” in the game because you’ve already paired a fact with “24”.
2. Mix up all 20 cards and place them face down as shown below.
3. Player 1 goes first and selects two cards to flip over. If a flashcard and an answer card are chosen that make a correct number sentence, then player 1 gets to keep both cards. If they are not a match, player 1 flips over both cards and the next player takes a turn.
4. Play continues until all cards have a match.
5. The player with the most cards wins.
1. Draw a flashcard from the pile.
2. Create a story problem and illustrate it. Make sure you write out the number sentence showing the multiplication problem and its answer.
* Use these cards to test for mastery. Put the ones you can say in a snap in one baggie and the ones that take a while in another. The goal is to get them all in your “YAY!” baggie.
Practice on the go! Hang these in the car or where you brush your teeth.
x 1
x 2
x3
x4
x5
x6
x7
x8
x9
x10
11
Track Your ProgressWhen you can answer quickly straight from your brain, color the math fact box.
21
31
41
51
61
71
81
91
101
12
22
32
42
52
62
72
82
92
102
13
23
33
43
53
63
73
83
93
103
14
24
34
44
54
64
74
84
94
104
15
25
35
45
55
65
75
85
95
105
16
26
36
46
56
66
76
86
96
106
17
27
37
47
57
67
77
87
97
107
1x 8
2x 8
3x 8
4x 8
5x 8
6x 8
7x 8
8x 8
9x 8
10x 8
1x 9
2x 9
3x 9
4x 9
5x 9
6x 9
7x 9
8x 9
9x 9
10x 9
1x 10
2x 10
3x 10
4x 10
5x 10
6x 10
7x 10
8x 10
9x 10
10x 10
x x x x x x x x x x
x x x x x x x x x x
x x x x x x x x x x
x x x x x x x x x x
x x x x x x x x x x
x x x x x x x x x x
x x x x x x x x x x
1 x 1 = 11 x 2 = 21 x 3 = 31 x 4 = 41 x 5 = 5
1 x 6 = 61 x 7 = 71 x 8 = 81 x 9 = 91 x 10 = 10
2 x 1 = 22 x 2 = 42 x 3 = 62 x 4 = 82 x 5 = 10
2 x 6 = 122 x 7 = 142 x 8 = 162 x 9 = 182 x 10 = 20
3 x 1 = 33 x 2 = 63 x 3 = 93 x 4 = 123 x 5 = 15
3 x 6 = 183 x 7 = 213 x 8 = 243 x 9 = 273 x 10 = 30
4 x 1 = 44 x 2 = 84 x 3 = 124 x 4 = 164 x 5 = 20
4 x 6 = 244 x 7 = 284 x 8 = 324 x 9 = 364 x 10 = 40
5 x 1 = 55 x 2 = 105 x 3 = 155 x 4 = 205 x 5 = 25
5 x 6 = 305 x 7 = 355 x 8 = 405 x 9 = 455 x 10 = 50
6 x 1 = 66 x 2 = 126 x 3 = 186 x 4 = 246 x 5 = 30
6 x 6 = 366 x 7 = 426 x 8 = 486 x 9 = 546 x 10 = 60
7 x 1 = 77 x 2 = 147 x 3 = 217 x 4 = 287 x 5 = 35
7 x 6 = 427 x 7 = 497 x 8 = 567 x 9 = 637 x 10 = 70
8 x 1 = 88 x 2 = 168 x 3 = 248 x 4 = 328 x 5 = 40
8 x 6 = 488 x 7 = 568 x 8 = 648 x 9 = 728 x 10 = 80
9 x 1 = 99 x 2 = 189 x 3 = 279 x 4 = 369 x 5 = 45
9 x 6 = 549 x 7 = 639 x 8 = 729 x 9 = 819 x 10 = 90
10 x 1 = 1010 x 2 = 2010 x 3 = 3010 x 4 = 4010 x 5 = 50
10 x 6 = 6010 x 7 = 7010 x 8 = 8010 x 9 = 9010 x 10 = 100
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) 5 + ( 7 × 9 ) 5 + ( 63 ) = 68
2) ( 9 × 4 ) ÷ 5 ( 36 ) ÷ 5 = 7 r1
3) ( 7 + 3 ) × 2 ( 10 ) × 2 = 20
4) 12 ÷ ( 7 - 1 ) 12 ÷ ( 6 ) = 2 r0
5) ( 18 ÷ 2 ) - 9 ( 9 ) - 9 = 0
6) 210 - ( 93 - 37 ) 210 - ( 56 ) = 154
7) ( 33 + 6 ) + 85 ( 39 ) + 85 = 124
8) 899 - ( 9 + 19 ) 899 - ( 28 ) = 871
9) 73 + ( 74 + 49 ) 73 + ( 123 ) = 196
10) 92 + ( 99 - 29 ) 92 + ( 70 ) = 162
11) 644 - ( 7 × 6 ) 644 - ( 42 ) = 602
12) ( 45 ÷ 5 ) + 28 ( 9 ) + 28 = 37
13) 7 + ( 36 ÷ 4 ) 7 + ( 9 ) = 16
14) ( 74 - 52 ) + 68 ( 22 ) + 68 = 90
15) ( 84 - 58 ) × 2 ( 26 ) × 2 = 52
16) 54 ÷ ( 4 + 5 ) 54 ÷ ( 9 ) = 6 r0
17) ( 85 + 14 ) ÷ 4 ( 99 ) ÷ 4 = 24 r3
18) ( 6 × 4 ) ÷ 7 ( 24 ) ÷ 7 = 3 r3
19) 7 × ( 16 ÷ 2 ) 7 × ( 8 ) = 56
20) ( 92 - 67 ) - 24 ( 25 ) - 24 = 1
1. 68
2. 7 r1
3. 20
4. 2 r0
5. 0
6. 154
7. 124
8. 871
9. 196
10. 162
11. 602
12. 37
13. 16
14. 90
15. 52
16. 6 r0
17. 24 r3
18. 3 r3
19. 56
20. 1
Solve each problem.
Solving with Parenthesis
Math www.CommonCoreSheets.com
Name:
Answers
4
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) Find the sum of 6 and 4 and then take away 2
2) Find 1/2 of 5 less than 10
3) Find the product of 3 and 2 and then take away 5
4) Find 6 times as many as 2 divided by 6
5) Subtract the quotient of 8 divided by 7 from 9
6) Divide 21 by the difference between 18 and 9
7) 2 divided by the quotient of 8 divided by 5
8) Find 2 more than, 5 plus 8
9) Find the product of 5 times 9 less than 3
10) Find 1/9 as many as 3 divided by 5
11) Add 6 to the difference between 9 and 7
12) Find 5 less than 18 and then take the difference from 22
13) Find a number that is 4 less than, 22 minus 15
14) Find 3 more than 2 and then take the sum from 16
15) Multiply 3 and 7 and then multiply the product by 7
16) Find the sum of 4 and 3 and then divide 9
17) Find 5 times as much as the sum of 6 and 2
18) 5 divided by the product of 3 and 2
19) Multiply 7 and 3 and then divide the product by 9
20) 6 divided by the sum of 7 and 6
1. (6 + 4) - 2
2. (10 - 5) ÷ 2
3. (3 × 2) - 5
4. (2 ÷ 6) × 6
5. 9 - (8 ÷ 7)
6. 21 ÷ (18 - 9)
7. 2 ÷ (8 ÷ 5)
8. 2 + (5 + 8)
9. 3 - (5 × 9)
10. (3 ÷ 5) ÷ 9
11. (9 - 7) + 6
12. 22 - (18 - 5)
13. (22 - 15) - 4
14. 16 - (2 + 3)
15. 7 × (3 × 7)
16. (4 + 3) ÷ 9
17. 5 × (6 + 2)
18. 5 ÷ (3 × 2)
19. (7 × 3) ÷ 9
20. 6 ÷ (7 + 6)
Rewrite each number sentence using numerals and symbols.
Rewriting Number Sentences
Math www.CommonCoreSheets.com
Name:
Answers
1
1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0
1) Input(q)
Output(r)
53 64
51 62
29 40
67 78
48 59
q + 11 = r
2) Input(d)
Output(e)
82 72
62 52
89 79
43 33
29 19
d - 10 = e
3) Input(g)
Output(h)
7 28
6 24
8 32
10 40
2 8
g × 4 = h
4) Input(l)
Output(m)
77 89
71 83
14 26
8 20
95 107
l + 12 = m
5) Input(c)
Output(d)
9 3
18 6
30 10
12 4
15 5
c ÷ 3 = d
6) Input(q)
Output(r)
96 81
83 68
68 53
47 32
75 60
q - 15 = r
7) In (k) 85 27 17 64
Out (l) 105 47 37 84
k + 20 = l
8) In (e) 8 68 83 82
Out (f) 1 61 76 75
e - 7 = f
9) In (n) 63 14 101 52
Out (o) 61 12 99 50
n - 2 = o
10) In (w) 9 2 5 6
Out (x) 63 14 35 42
w × 7 = x
11) In (s) 20 10 12 4
Out (t) 10 5 6 2
s ÷ 2 = t
12) In (o) 59 63 79 41
Out (p) 63 67 83 45
o + 4 = p
1. q + 11 = r
2. d - 10 = e
3. g × 4 = h
4. l + 12 = m
5. c ÷ 3 = d
6. q - 15 = r
7. k + 20 = l
8. e - 7 = f
9. n - 2 = o
10. w × 7 = x
11. s ÷ 2 = t
12. o + 4 = p
Write an equation to show the relationship between the input and the output.
Function Machines - Creating Equations
Math www.CommonCoreSheets.com
Name:
Answers
4
1-10 92 85 77 69 62 54 46 38 31 2311-13 15 8 0
1) 887,755.93
The 5 in the tens place is _______ the value of the 5 in the ones place.
2) 132.291
The 1 in the hundreds place is _______ the value of the 1 in the thousandths place.
3) 322.8
The 2 in the tens place is _______ the value of the 2 in the ones place.
4) 7,348.997
The 7 in the thousands place is _______ the value of the 7 in the thousandths place.
5) 2,351.335
The 5 in the thousandths place is _______ the value of the 5 in the tens place.
6) 196.416
The 1 in the hundreds place is _______ the value of the 1 in the hundredths place.
7) 189.38
The 8 in the hundredths place is _______ the value of the 8 in the tens place.
8) 644,175.17
The 7 in the hundredths place is _______ the value of the 7 in the tens place.
9) 7,294,155.119
The 5 in the tens place is _______ the value of the 5 in the ones place.
10) 357,432.714
The 4 in the thousandths place is _______ the value of the 4 in the hundreds place.
11) 1,855.18
The 8 in the hundredths place is _______ the value of the 8 in the hundreds place.
12) 868.6
The 6 in the tens place is _______ the value of the 6 in the tenths place.
13) 972,141.4
The 4 in the tenths place is _______ the value of the 4 in the tens place.
1. 10 •
2. 100,000 •
3. 10 •
4. 1,000,000 •
5.
1⁄10,000
6. 10,000 •
7.
1⁄1,000
8.
1⁄1,000
9. 10 •
10.
1⁄100,000
11.
1⁄10,000
12. 100 •
13.
1⁄100
Compare the values of each of the digits.
Examining Digit Place Values
Math www.CommonCoreSheets.com
Name:
Answers
1
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) If 4 × 2 = 8 , then 400 × 2 = 800
2) If 8 × 7 = 56 , then 8,000 × 7 = 56,000
3) If 10 × 8 = 80 , then 10,000 × 8 = 80,000
4) If 5 × 9 = 45 , then 500 × 9 = 4,500
5) If 2 × 8 = 16 , then 2,000 × 8 = 16,000
6) If 9 × 6 = 54 , then 900 × 6 = 5,400
7) If 10 × 4 = 40 , then 1,000 × 4 = 4,000
8) If 5 × 8 = 40 , then 500 × 8 = 4,000
9) If 8 × 8 = 64 , then 80 × 8 = 640
10) If 10 × 1 = 10 , then 100 × 1 = 100
11) If 3 × 6 = 18 , then 3 × 600 = 1,800
12) If 2 × 3 = 6 , then 2 × 3,000 = 6,000
13) If 5 × 1 = 5 , then 5 × 10 = 50
14) If 5 × 10 = 50 , then 5 × 10,000 = 50,000
15) If 7 × 9 = 63 , then 7 × 900 = 6,300
16) If 1 × 9 = 9 , then 1 × 9,000 = 9,000
17) If 10 × 3 = 30 , then 10 × 3,000 = 30,000
18) If 3 × 1 = 3 , then 3 × 10 = 30
19) If 8 × 4 = 32 , then 8 × 40 = 320
20) If 2 × 7 = 14 , then 2 × 70 = 140
1. 800
2. 56,000
3. 80,000
4. 4,500
5. 16,000
6. 5,400
7. 4,000
8. 4,000
9. 640
10. 100
11. 1,800
12. 6,000
13. 50
14. 50,000
15. 6,300
16. 9,000
17. 30,000
18. 30
19. 320
20. 140
Solve each problem.
Understanding Multiplying By 10s
Math www.CommonCoreSheets.com
Name:
Answers
1
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
Ex) 8 + ( 2 × 1⁄10 ) + ( 3 × 1⁄100 )
1) 7 + ( 8 × 1⁄10 )
2) 8 × 10 + 6 + ( 3 × 1⁄10 ) + ( 1 × 1⁄100 )
3) 8 × 10 + 1 + ( 2 × 1⁄10 ) + ( 9 × 1⁄100 )
4) 8 × 100 + 6 × 10 + 4 + ( 3 × 1⁄10 ) + ( 4 × 1⁄100 ) + ( 7 × 1⁄1000 )
5) 2 × 100 + 9 × 10 + 1 + ( 2 × 1⁄10 )
6) 5 + ( 3 × 1⁄10 )
7) 1 × 10 + 9 + ( 9 × 1⁄10 ) + ( 8 × 1⁄100 )
8) 6 × 10 + 5 + ( 9 × 1⁄10 ) + ( 4 × 1⁄100 ) + ( 9 × 1⁄1000 )
9) 1 + ( 7 × 1⁄10 ) + ( 4 × 1⁄100 ) + ( 5 × 1⁄1000 )
10) 1 × 10 + 2 + ( 7 × 1⁄10 ) + ( 5 × 1⁄100 )
11) 3 × 10 + 3 + ( 4 × 1⁄10 )
12) 1 + ( 6 × 1⁄10 ) + ( 6 × 1⁄100 ) + ( 3 × 1⁄1000 )
13) 9 × 100 + 7 × 10 + 5 + ( 2 × 1⁄10 )
14) 7 + ( 1 × 1⁄10 ) + ( 6 × 1⁄100 ) + ( 8 × 1⁄1000 )
15) 3 × 100 + 4 × 10 + 9 + ( 6 × 1⁄10 ) + ( 5 × 1⁄100 ) + ( 1 × 1⁄1000 )
16) 7 × 10 + 6 + ( 5 × 1⁄10 ) + ( 2 × 1⁄100 ) + ( 9 × 1⁄1000 )
17) 4 × 10 + 6 + ( 6 × 1⁄10 ) + ( 3 × 1⁄100 )
18) 7 × 10 + 7 + ( 8 × 1⁄10 ) + ( 4 × 1⁄100 )
19) 4 × 10 + 8 + ( 2 × 1⁄10 ) + ( 5 × 1⁄100 )
20) 5 × 100 + 3 × 10 + 4 + ( 2 × 1⁄10 )
Ex. 8.23
1. 7.8
2. 86.31
3. 81.29
4. 864.347
5. 291.2
6. 5.3
7. 19.98
8. 65.949
9. 1.745
10. 12.75
11. 33.4
12. 1.663
13. 975.2
14. 7.168
15. 349.651
16. 76.529
17. 46.63
18. 77.84
19. 48.25
20. 534.2
Convert each problem to numeric notation.
Expanded Notation to Numeric Form with Decimals
Math www.CommonCoreSheets.com
Name:
Answers
1
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
Ex) A. 8 .982B . 8 . 491C . 8 . 05D. 9
1) A. 4 .877B . 4 . 13C . 4 . 99D. 4 .1
2) A. 3 .82B . 3 . 051C . 3 . 2D . 3 . 15
3) A. 49B . 49 .277C . 49 .84D. 49 .268
4) A. 83 .4B . 83 .64C . 83 .879D. 83 .925
5) A. 5 .79B . 5 . 7C . 5 . 319D. 5 .658
6) A. 41 .829B . 41 .8C . 41 .77D. 42
7) A. 60 .63B . 60 .663C . 60 .5D . 60 .756
8) A. 8B . 8 . 2C . 8 . 35D. 8 .227
9) A. 84 .135B . 84 .003C . 84D. 84 .361
10) A. 2B . 1 . 438C . 1 . 796D. 1 .16
11) A. 7 .398B . 7 . 98C . 7D . 7 . 12
12) A. 5 .656B . 5 . 19C . 5 . 46D. 6
13) A. 4 .914B . 4 . 032C . 4 . 06D. 4 .359
14) A. 4 .2B . 4 . 187C . 4 . 072D. 4 .39
15) A. 86 .578B . 87C . 86 .6D . 86 .88
16) A. 7 .528B . 7 . 57C . 7 . 6D . 7 . 137
17) A. 6 .8B . 6 . 755C . 6 . 25D. 6 .33
18) A. 65 .594B . 65 .684C . 65 .69D. 65 .61
19) A. 35 .3B . 35 .341C . 35D. 35 .479
20) A. 53 .74B . 53 .897C . 53 .6D . 54
Ex. C,B,A,D
1. D,B,A,C
2. B,D,C,A
3. A,D,B,C
4. A,B,C,D
5. C,D,B,A
6. C,B,A,D
7. C,A,B,D
8. A,B,D,C
9. C,B,A,D
10. D,B,C,A
11. C,D,A,B
12. B,C,A,D
13. B,C,D,A
14. C,B,A,D
15. A,C,D,B
16. D,A,B,C
17. C,D,B,A
18. A,D,B,C
19. C,A,B,D
20. C,A,B,D
Order the numbers from least to greatest.
Ordering Decimal Numbers
Math www.CommonCoreSheets.com
Name:
Answers
1
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) Round to the nearest hundredth. 132.627 132.63
2) Round to the nearest tenth. 9.132 9.1
3) Round to the nearest hundredth. 40.914 40.91
4) Round to the nearest whole number. 52.6 53
5) Round to the nearest hundredth. 8.736 8.74
6) Round to the nearest whole number. 6.95 7
7) Round to the nearest whole number. 23.96 24
8) Round to the nearest tenth. 880.77 880.8
9) Round to the nearest tenth. 84.98 85.0
10) Round to the nearest whole number. 95.2 95
11) Round to the nearest whole number. 79.44 79
12) Round to the nearest tenth. 404.99 405.0
13) Round to the nearest hundredth. 8.329 8.33
14) Round to the nearest tenth. 987.596 987.6
15) Round to the nearest hundredth. 2.125 2.13
16) Round to the nearest whole number. 343.3 343
17) Round to the nearest tenth. 91.483 91.5
18) Round to the nearest tenth. 11.255 11.3
19) Round to the nearest hundredth. 3.477 3.48
20) Round to the nearest whole number. 37.46 37
1. 132.63
2. 9.1
3. 40.91
4. 53
5. 8.74
6. 7
7. 24
8. 880.8
9. 85.0
10. 95
11. 79
12. 405.0
13. 8.33
14. 987.6
15. 2.13
16. 343
17. 91.5
18. 11.3
19. 3.48
20. 37
Round each number to the correct place value.
Rounding Decimals
Math www.CommonCoreSheets.com
Name:
Answers
4
Modified 1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0
1) 908
× 49
8,172
+ 36,320
44,492
2) 926
× 43
2,778
+ 37,040
39,818
3) 916
× 82
1,832
+ 73,280
75,112
4) 105
× 59
945
+ 5,250
6,195
5) 654
× 40
0
+ 26,160
26,160
6) 147
× 12
294
+ 1,470
1,764
7) 824
× 39
7,416
+ 24,720
32,136
8) 628
× 51
628
+ 31,400
32,028
9) 219
× 19
1,971
+ 2,190
4,161
10) 267
× 50
0
+ 13,350
13,350
11) 247
× 61
247
+ 14,820
15,067
12) 530
× 48
4,240
+ 21,200
25,440
25,440 6,195 15,067 44,492
32,136 13,350 26,160 4,161
1,764 75,112 32,028 39,818
1. 44,492
2. 39,818
3. 75,112
4. 6,195
5. 26,160
6. 1,764
7. 32,136
8. 32,028
9. 4,161
10. 13,350
11. 15,067
12. 25,440
Solve each problem.
Multiplication (Vertical)
Math www.CommonCoreSheets.com
Name:
Answers
1
1-10 90 80 70 60 50 40 30 20 10 0
1) A vat of orange juice contains the juice from 843 oranges. If a company has 89 vats, howmany oranges would they use to fill them all?
2) A mail sorting machine can sort 774 pieces of mail an hour. If it ran for 77 hour, how manypieces of mail would it have sorted?
3) A farmer has 762 rows of corn. If he can get 84 ears of corn from each row, how many earsof corn would he have total?
4) In NYC each mail truck has 270 pieces of junkmail. If there are 99 mail trucks, how muchjunk mail do they have total?
5) If an industrial machine could make 418 pencils in a second, how many pencils would ithave made in 15 seconds?
6) Each day the gumball machine in the mall sells 164 gum balls. How many gum balls wouldthey have sold after 61 days?
7) A lawn mowing company had 573 customers. If each customer paid 59 dollars a year, howmuch money would they make?
8) A race was 993 meters. If 28 people ran in the marathon how many meters would theyhave run total?
9) Oliver was collecting cans for recycling. In 5 months he had collected 634 bags with 76cans inside each bag. How many cans did he have total?
10) Paige was building a LEGO tower. She built it with 139 stories and with 18 blocks on eachstory. How many LEGO blocks would she have used?
1. 75,027
2. 59,598
3. 64,008
4. 26,730
5. 6,270
6. 10,004
7. 33,807
8. 27,804
9. 48,184
10. 2,502
Solve each problem.
Finding Product (3 × 2)
Math www.CommonCoreSheets.com
Name:
Answers
1
1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0
1) 0 1 4 1 r3050 7, 0 8 0
07 05 02 0 82 0 0
8 05 03 0
2) 0 0 5 274 3, 8 4 8
03 8
03 8 43 7 0
1 4 81 4 8
0
3) 0 2 2 941 9, 3 8 9
09 38 21 1 8
8 23 6 93 6 9
0
4) 0 4 4 9 r911 4, 9 4 8
04 94 4
5 44 41 0 8
9 99
5) 0 3 1 421 6, 5 9 4
06 56 3
2 92 1
8 48 4
0
6) 0 0 3 2 r2446 1, 4 9 6
01 4
01 4 91 3 8
1 1 69 22 4
7) 0 3 5 611 3, 9 1 6
03 93 3
6 15 5
6 66 6
0
8) 0 7 5 4 r213 9, 8 0 4
09 89 1
7 06 5
5 45 2
2
9) 0 0 7 7 r6579 6, 1 4 8
06 1
06 1 45 5 3
6 1 85 5 3
6 5
10) 0 1 5 7 r4755 8, 6 8 2
08 65 53 1 82 7 5
4 3 23 8 5
4 7
11) 0 0 1 592 1, 3 8 0
01 3
01 3 8
9 24 6 04 6 0
0
12) 0 2 8 124 6, 7 4 4
06 74 81 9 41 9 2
2 42 4
0
1. 141 r30
2. 52
3. 229
4. 449 r9
5. 314
6. 32 r24
7. 356
8. 754 r2
9. 77 r65
10. 157 r47
11. 15
12. 281
Solve each problem.
Dividing Whole Numbers
Math www.CommonCoreSheets.com
Name:
Answers
4
1-10 90 80 70 60 50 40 30 20 10 0
1) Jerry is trying to earn two hundred nine dollars for some new videogames. If he charges forty-seven dollars to mow a lawn, how manylawns will he need to mow to earn the money?
209 ÷ 47 = 4 r21
2) A company had forty-one employees and ordered nine hundred eightyuniforms for them. If they wanted to give each employee the samenumber of uniforms, how many more uniforms should they order sothey don't have any extra?
980 ÷ 41 = 23 r37
3) Victor had eight hundred sixty-one marbles he's putting into bags withtwenty-five in each bag. How many marbles will he have in the bagthat isn't full?
861 ÷ 25 = 34 r11
4) A box of light fixtures cost $forty-three. If you had six hundred dollarsand bought as many boxes as you could, how much money would youhave left?
600 ÷ 43 = 13 r41
5) A baker had eighteen boxes for donuts. He ended up making sevenhundred sixty-three donuts and splitting them evenly between theboxes. How many extra donuts did he end up with?
763 ÷ 18 = 42 r7
6) Cody wanted to give each of his forty-five friends an equal amount ofcandy. At the store he bought six hundred eighty pieces total to give tothem. He many more pieces should he have bought so he didn't haveany extra pieces?
680 ÷ 45 = 15 r5
7) An art museum had eight hundred forty-three pictures to split equallyinto seventeen different exhibits. How many more pictures would theyneed to make sure each exhibit had the same amount?
843 ÷ 17 = 49 r10
8) A movie theater needed five hundred twenty-eight popcorn buckets. Ifeach package has forty-six buckets in it, how many packages will theyneed to buy?
528 ÷ 46 = 11 r22
9) A recycling company had six hundred sixty-six pounds of material tosort. To make it easier they split them into boxes with each full boxhaving twenty-two pounds, how many full boxes did they have?
666 ÷ 22 = 30 r6
10) A machine in a candy company creates seven hundred eighty-threepieces of candy a minute. If a small box of candy has thirteen pieces init how many full boxes does the machine make in a minute?
783 ÷ 13 = 60 r3
1. 5
2. 4
3. 11
4. 41
5. 7
6. 40
7. 7
8. 12
9. 30
10. 60
Solve each problem.
Division Word Problems (3÷2) w/ Remainder
Math www.CommonCoreSheets.com
Name:
Answers
1
1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0
1) 8 9 . 6 1 0- 2 6 . 6 3 26 2 . 9 7 8
2) 2 9 . 0 0+ 2 7 . 6 9
5 6 . 6 9
3) 7 1 . 0- 1 2 . 35 8 . 7
4) 2 6 . 0 0 0+ 1 3 . 8 2 4
3 9 . 8 2 4
5) 5 1 . 0 0- 3 8 . 7 51 2 . 2 5
6) 5 4 . 7 0+ 9 . 3 9
6 4 . 0 9
7) 6 3 . 0 3 0- 5 9 . 6 8 8
3 . 3 4 2
8) 8 3 . 0 0 0+ 7 7 . 8 4 11 6 0 . 8 4 1
9) 9 3 . 0- 3 2 . 26 0 . 8
10) 6 6 . 0 0+ 8 . 8 4
7 4 . 8 4
11) 3 3 . 9 7 0- 8 . 8 5 12 5 . 1 1 9
12) 4 8 . 0 0 0+ 4 4 . 6 3 6
9 2 . 6 3 6
13) 9 8 . 0- 6 9 . 92 8 . 1
14) 1 0 . 0+ 7 . 1
1 7 . 1
15) 9 0 . 0- 8 3 . 0
7
1. 62.978
2. 56.69
3. 58.7
4. 39.824
5. 12.25
6. 64.09
7. 3.342
8. 160.841
9. 60.8
10. 74.84
11. 25.119
12. 92.636
13. 28.1
14. 17.1
15. 7
Solve each problem.
Adding & Subtracting Decimals
Math
Name:
Answers
1
1-10 90 80 70 60 50 40 30 20 10 0
1) A computer programmer had two files with a total size of 68.76 gigabytes. If one of thefiles was 35.46 gigabytes, how big is the second file?
2) Vanessa was trying to put some files on her flash drive. If she had one file that was 1.9 mband another file that was 3.8 mb what is their combined file size?
3) Mike was training for a marathon. On his first day he ran 2.45 kilometers. On the secondday he ran 3.8 kilometers. How far did he run altogether?
4) Edward and Tiffany were comparing the distance they ran over a week. If Edward ran11.90 miles and Tiffany ran 7.9 miles, how far did they run total?
5) Janet was buying food for her birthday party. She bought a 78.40 oz bag of barbeque chipsand a 63.6 oz bag of regular chips. How many ounces did she buy all together?
6) Luke ate a snack with 91 total calories. If the chips he ate were 41.2 calories, how manycalories were in the rest of his snack?
7) Paul was making some brownies and cupcakes for his school fundraiser. If the browniesneeded 4.8 cups of sugar and the cupcakes needed 5.2 cups, how much sugar would heneed altogether?
8) On Monday and Tuesday the lake received 18.45 inches of water. If it received 7.85 incheson Monday, how much did it receive on Tuesday?
9) Emily was checking the weight of a gold nugget and a piece of fool’s gold. Together theyweighed 92.9 grams. If the fool’s gold was 35.6 grams, how much did the gold nuggetweigh?
10) Sam weighed the candy he and his brother got from Halloween. Together they received7.62 kgs of candy. If Sam's amount was 5.92 kg how much was his brothers?
1. 33.3
2. 5.7
3. 6.25
4. 19.8
5. 142
6. 49.8
7. 10
8. 10.6
9. 57.3
10. 1.7
Solve each problem.
Adding and Subtracting Decimals
Math www.CommonCoreSheets.com
Name:
Answers
1
1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0
1) 6 .38
× 5.2
1276
+ 31900
33 .176
2) 945 .3
× 3 .4
37812
+ 283590
3 ,214 .02
3) 2 .1
× 3 .6
126
+ 630
7 .56
4) 81 .4
× 3 .1
814
+ 24420
252 .34
5) 50 .59
× 8.0
0
+ 404720
404 .720
6) 4 .5
× 4 .1
45
+ 1800
18 .45
7) 90 .9
× 2 .3
2727
+ 18180
209 .07
8) 15 .76
× 9.8
12608
+ 141840
154 .448
9) 3 .7
× 1 .1
37
+ 370
4 .07
10) 2 .98
× 9.2
596
+ 26820
27 .416
11) 977 .8
× 7 .4
39112
+ 684460
7 ,235 .72
12) 1 .5
× 1 .7
105
+ 150
2 .55
1. 33.176
2. 3,214.02
3. 7.56
4. 252.34
5. 404.720
6. 18.45
7. 209.07
8. 154.448
9. 4.07
10. 27.416
11. 7,235.72
12. 2.55
Solve each problem.
Multiplying with Decimals
Math www.CommonCoreSheets.com
Name:
Answers
1
1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0
1) 9- 3
1=
2 3
LCM = 6
27- 3
2= 1
1
6 6 6
2)3
1+ 1
3=
3 5
LCM = 15
35
+ 19
= 414
15 15 15
3) 10-
13=
3 5
LCM = 15
50-
39=
11
15 15 15
4) 17+
3=
5 2
LCM = 10
34+
15= 4
9
10 10 10
5) 10- 1
1=
3 4
LCM = 12
40- 1
3= 2
1
12 12 12
6) 4+
1=
5 3
LCM = 15
12+
5= 1
2
15 15 15
7)5
3- 4
1=
5 2
LCM = 10
56
- 45
= 11
10 10 10
8) 1+
1=
3 2
LCM = 6
2+
3=
5
6 6 6
9) 2-
1=
3 4
LCM = 12
8-
3=
5
12 12 12
10)3
1+
10=
3 4
LCM = 12
34
+30
= 510
12 12 12
11) 22-
11=
4 3
LCM = 12
66-
44= 1
10
12 12 12
12)5
4+ 4
1=
5 2
LCM = 10
58
+ 45
= 103
10 10 10
1. 1 1⁄6
2. 4 14⁄15
3.
11⁄15
4. 4 9⁄10
5. 2 1⁄12
6. 1 2⁄15
7. 1 1⁄10
8.
5⁄69.
5⁄12
10. 5 10⁄12
11. 1 10⁄12
12. 10 3⁄10
Solve each problem. Answer as a mixed number (if possible).
Adding & Subtracting Fractions
Math www.CommonCoreSheets.com
Name:
Answers
1
1-10 90 80 70 60 50 40 30 20 10 0
1) Dave bought a box of fruit that weighed 6 4⁄8 kilograms. If he bought a second box that
weighed 8 1⁄2 kilograms, what is the combined weight of both boxes?
2) In December it snowed 2 2⁄4 inches. In January it snowed 9
1⁄3 inches. What is thecombined amount of snow for December and January?
3) A recipe called for using 10 2⁄4 cups of flour before baking and another 3
7⁄8 cups afterbaking. What is the total amount of flour needed in the recipe?
4) Emily's new puppy weighed 4 1⁄4 pounds. After a month it had gained 5
1⁄2 pounds. Whatis the weight of the puppy after a month?
5) A small box of nails was 8 1⁄9 inches tall. If the large box of nails was 9
2⁄3 inches taller,how tall is the large box of nails?
6) Luke spent 6 1⁄4 hours working on his reading and math homework. If he spent 5
8⁄9 hourson his reading homework, how much time did he spend on his math homework?
7) A restaurant had 12 1⁄7 gallons of soup at the start of the day. By the end of the day they
had 11 1⁄10 gallons left. How many gallons of soup did they use during the day?
8) Cody jogged 4 2⁄3 kilometers on Monday and 3
1⁄7 kilometers on Tuesday. What is thedifference between these two distances?
9) A full garbage truck weighed 4 1⁄2 tons. After dumping the garbage, the truck weighed 2
5⁄6tons. What was the weight of the garbage?
10) In two months Haley's class recycled 7 2⁄4 pounds of paper. If they recycled 2
1⁄2 poundsthe first month, how much did they recycle the second month?
1.120⁄8
2.142⁄12
3.115⁄8
4.39⁄4
5.160⁄9
6.13⁄36
7.73⁄70
8.32⁄21
9.10⁄6
10.20⁄4
Solve each problem. Write your answer as an improper fraction.
Adding & Subtracting Fractions
Math www.CommonCoreSheets.com
Name:
Answers
4
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
Ex) 14= 4
23 3
1) 88= 9
79 9
2) 53= 10
35 5
3) 92= 10
29 9
4) 46= 6
47 7
5) 35= 5
56 6
6) 13= 6
12 2
7) 78= 9
68 8
8) 37= 4
58 8
9) 57= 6
39 9
10) 9= 4
12 2
11) 21= 10
12 2
12) 29= 4
56 6
13) 7= 3
12 2
14) 34= 6
45 5
15) 33= 4
57 7
16) 69= 8
58 8
17) 27= 4
36 6
18) 65= 8
18 8
19) 35= 8
34 4
20) 58= 8
27 7
Ex. 4 2⁄3
1. 9 7⁄9
2. 10 3⁄5
3. 10 2⁄9
4. 6 4⁄7
5. 5 5⁄6
6. 6 1⁄2
7. 9 6⁄8
8. 4 5⁄8
9. 6 3⁄9
10. 4 1⁄2
11. 10 1⁄2
12. 4 5⁄6
13. 3 1⁄2
14. 6 4⁄5
15. 4 5⁄7
16. 8 5⁄8
17. 4 3⁄6
18. 8 1⁄8
19. 8 3⁄4
20. 8 2⁄7
Solve each fraction as though it were a division problem. Write your answer as a fraction.
Fractions as Division Problems
Math
Name:
Answers
1
1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0
1) 4×
1=
5 3
4×
1=
4
5 3 15
2) 1×
1=
2 5
1×
1=
1
2 5 10
3) 1×
4=
3 5
1×
4=
4
3 5 15
4) 2×
1=
3 3
2×
1=
2
3 3 9
5) 2×
2=
4 3
2×
2=
4
4 3 12
6) 4×
1=
5 2
4×
1=
4
5 2 10
7) 1×
3=
2 4
1×
3=
3
2 4 8
8) 1×
1=
4 4
1×
1=
1
4 4 16
9) 2×
3=
3 5
2×
3=
6
3 5 15
10) 1×
1=
2 4
1×
1=
1
2 4 8
11) 2×
1=
3 5
2×
1=
2
3 5 15
12) 1×
1=
3 4
1×
1=
1
3 4 12
1.
4⁄15
2.
1⁄10
3.
4⁄15
4.
2⁄95.
4⁄12
6.
4⁄10
7.
3⁄88.
1⁄16
9.
6⁄15
10.
1⁄811.
2⁄15
12.
1⁄12
Solve each problem. Answer as an improper fraction (if possible).
Multiplying Fractions
Math www.CommonCoreSheets.com
Name:
Answers
1
Completing this packet has kept you in great shape for the start of
the school year!
Congratulations!