Grade Math - SABIS

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 rewrite

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


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


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


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


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


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


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


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


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


4) Round to the nearest whole number. 52.6 53

















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


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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)


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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)


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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


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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


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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


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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


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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


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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


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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


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Answers

1

Completing this packet has kept you in great shape for the start of

the school year!

Congratulations!

Grade Math - SABIS

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