5 th Grade Math The best way to keep your child prepared for the next year of school is to have them actively engaged in educational activities all summer. Have fun with numbers. Find creative ways to practice math: review numbers with your child while you play sports, play games, shop, calculate time, or follow a recipe together.
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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?
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
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) 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?
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.