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Strategies for Multiplication (Common Core) 3, 6, 9, 12, 15, By eanne Armstrong J. Armstrong 2013 Table of Contents: p. p. p. p. 3-8 9 10 11-12 p. p. p. p. p. p. p. p. 13-17 18-22 23-25 26-30 31-35 36-39 40-41 42-47 p. 48-55 p. 56 Multiplication Strategy Mini-Posters Properties of Multiplication Mini-Poster Multiplication Memorization Tricks Mini-Poster Reduced-size Mini Posters (4 per page) – can be printed/copied for student reference Draw a Picture/Equal Groups: practice, homework, answer keys Using Arrays: practice, homework, answer keys Problem Solving using Equal Groups & Arrays (with answer key) Skip Counting: practice, homework, answer keys Repeated Addition: practice, homework, answer keys Distributive Property: practice, homework, answer keys Properties of Multiplication practice (with answer key) Multiplication Facts Practice (including “fill in the factor” page & answer keys) Multiplication Task Cards (with recording sheet and answer key) Thank You & Credits J. Armstrong 2013 Draw a Picture (Equal Groups) 3 x 6 = 18 3 equal groups of 6 = 18 J. Armstrong 2013 Use an Array 6 columns 3 rows 3 x 6 = 18 J. Armstrong 2013 Skip Count 3, 6, 9, 12, 15, 18 J. Armstrong 2013 Use Repeated Addition 6 + 6 + 6 = 18 J. Armstrong 2013 Use a Number Sentence (Memorization) J. Armstrong 2013 Use the Distributive Property (Decompose Numbers) J. Armstrong 2013 Properties of Multiplication Property: Definition: Examples: Zero Property Any number times zero equals zero 5x0=0 0x9=0 Identity Property Any number times one equals itself 8x1=8 1 x 12 = 12 Commutative Property You can multiply numbers in any order 3 x 4 = 12 4 x 3 = 12 Associative Property When multiplying groups of 3 or more numbers, it does not matter which numbers you multiply first (3 x 4) x 2 = 24 3 x (4 x 2) = 24 Distributive Property The sum of two numbers times a third number is equal to the sum of each addend times the third number. (This means you can break apart numbers to multiply them.) 12 x 5 = (10 + 2) x 5 (5 x 10) + (5 x 2) 50 + 10 = 60 J. Armstrong 2013 Multiplication Memorization Tricks X2 Skip count by 2’s Or use doubles facts X3 Skip count to the tune of “Jingle Bells” 3, 6, 9 12, 15 18, 21 24, 27, 30, 33, hey! X5 Skip count by 5’s Or use half of the 10’s fact X6 Skip count the other factor by 5’s then by 1’s Example: 6 x 4 5-10-15-20 21-22-23-24 x9 X4 Skip count to the tune of “Dashing through the Snow” 4, 8, 12, 16 20, 24 28, 32 36 and 40 Hold up 10 fingers Counting from the left, bend down the finger of the other factor. The fingers up to the left of the bent finger are the tens place. The fingers to the right of the bent finger are the ones. X 10 Add a zero to the other factor Example: 8 x 10 = 80 10 x 6 = 60 X 11 Repeat the other factor (if it’s a single digit) Example: 7 x 11 = 77 11 x 3 = 33 X12 The other factor x 10 plus the other factor x 2 Example: 4 x 12 4 x 10= 40 4x2=8 40+8=48 J. Armstrong 2013 Name: ___________________________ Multiplication Practice – Draw a Picture Draw a picture of equal groups to solve the following multiplication problems: 1. 4 x 3 = __________ 2. 5 x 7 = _________ 3. 3 x 8 = _________ 4. 7 x 4 = __________ J. Armstrong 2013 Multiplication Practice – Draw a Picture (page 2) 5. Ants have six legs. How many legs do 4 ants have? 6. How many wheels are there on 7 tricycles? 7. If there are 5 pieces of gum in a pack, how many pieces of gum are there in 6 packs? 8. There are 8 crayons in a box. How many crayons are in 4 boxes? J. Armstrong 2013 Multiplication Practice – Draw a Picture – ANSWER KEY 1. 4 x 3 = 12 2. 5 x 7 = 35 3. 3 x 8 = 24 4. 7 x 4 = 28 5. Ants have six legs. How many legs do 4 ants have? 6 x 4 = 24 legs 6. How many wheels are there on 7 tricycles? 7 x 3 = 21 wheels 7. If there are 5 pieces of gum in a pack, how many pieces of gum are there in 6 packs? 5 x 6 = 30 pieces of gum 8. There are 8 crayons in a box. How many crayons are in 4 boxes? 8 x 4 = 32 crayons J. Armstrong 2013 Name: ___________________________ Multiplication Strategy: Draw a Picture - Homework Directions: Draw a picture of equal groups to solve the following multiplication problems. 1. 5 x 4 = _______ 2. 6 x 3 = _______ 3. 2 x 9 = _______ 4. 6 x 6 = _______ 5. Michelle has 4 friends coming to her birthday party. If she gives each friend 8 stickers, how many stickers will she need in all? J. Armstrong 2013 Name: ___________________________ Multiplication Strategy: Draw a Picture – Homework – ANSWER KEY Directions: Draw a picture of equal groups to solve the following multiplication problems. 1. 5 x 4 = 20 2. 6 x 3 = 18 3. 2 x 9 = 18 4. 6 x 6 = 36 5. Michelle has 4 friends coming to her birthday party. If she gives each friend 8 stickers, how many stickers will she need in all? 4 x 8 = 32 stickers J. Armstrong 2013 Name: ___________________________ Multiplication Using Arrays - Practice Directions: Use an array to solve the following addition problems: 1. 4 x 5 = _____ 2. 6 x 7 = _______ 3. 3 x 8 = _______ 4. 4 x 8 = _______ 5. Write a multiplication sentence for this array: * * * * * * * * * * * * * * * * * * * * * * * * * 6. Write a multiplication sentence for this array: X X X X X X X X X X X X J. Armstrong 2013 Multiplication Using Arrays Practice (page 2) Use an array to solve the following problems: 7. There are 4 rows of desks in the classroom. Each row contains 9 desks. How many desks are there in all? 8. There are 3 rows of soda cans in the vending machine. If each row contains 7 cans, how many cans of soda are there altogether? 9. I planted 5 rows of flowers in my garden. If each row has 6 flowers, how many flowers do I have? 10. There are 6 rows in the parking lot. If each row has space for 8 cars, how many cars can fit into the lot in all? J. Armstrong 2013 Multiplication Using Arrays Practice – ANSWER KEY Use an array to solve the following problems: 1. 2. 3. 4. 4 x 5 = 20 6 x 7 = 42 3 x 8 = 24 4 x 8 = 32 5. Write a multiplication sentence for this array: 6. Write a multiplication sentence for this array: 3 5 x 5 = 25 x 4 = 12 * * * * * * * * * * * * * * * * * * * * * * * * * X X X X X X X X X X X X 7. There are 4 rows of desks in the classroom. Each row contains 9 desks. How many desks are there in all? 4 x 9 = 36 desks 8. There are 3 rows of soda cans in the vending machine. If each row contains 7 cans, how many cans of soda are there altogether? 3 x 7 = 21 cans 9. I planted 5 rows of flowers in my garden. If each row has 6 flowers, how many flowers do I have? 5 x 6 = 30 flowers 10. There are 6 rows in the parking lot. If each row has space for 8 cars, how many cars can fit into the lot in all? 6 x 8 = 48 cars J. Armstrong 2013 Name: ___________________________ Multiplication Using Arrays - Homework Directions: Use an array to solve the following problems: 1. 6 x 4 = ______ 2. 3 x 7 = _______ 3. 5 x 8 = _______ 4. 5 x 5 = _______ 5. The town of Mathville is 4 blocks wide and 5 blocks long. How many square blocks are there in all? J. Armstrong 2013 Name: ___________________________ Multiplication Using Arrays – Homework – ANSWER KEY Directions: Use an array to solve the following problems: 1. 6 x 4 = 24 XXXX XXXX XXXX XXXX XXXX XXXX 3. 5 x 8 = 40 XXXXXXXX XXXXXXXX XXXXXXXX XXXXXXXX XXXXXXXX 2. 3 x 7 = 21 XXXXXXX XXXXXXX XXXXXXX 4. 5 x 5 = 25 XXXXX XXXXX XXXXX XXXXX XXXXX 5. The town of Mathville is 4 blocks wide and 5 blocks long. How many square blocks are there in all? 4 x 5 = 20 blocks J. Armstrong 2013 Name/#: ___________________________ Multiplication Using Equal Groups and Arrays - Problem Solving Use an array to solve the following problems: 1. Isabelle has a sheet of stickers. It has 10 rows and there are 7 stickers in each row. How many stickers are on the sheet altogether? 2. There are 4 rows of bleachers at the baseball field. If 8 people can sit in each row, how many people can fit on the bleachers in all? 3. There are 3 shelves of cereal boxes at the grocery store. If each shelf holds 12 boxes, how many boxes of cereal are there altogether? 4. Michael collects stamps in a book. Each page in his book has 6 rows and he can put 5 stamps in each row. How many stamps can he collect on one page. (Challenge: If there are 4 pages in his book, how many stamps does he have in all?) J. Armstrong 2013 Multiplication Using Equal Groups and Arrays – Problem Solving (page 2) Draw a picture of equal groups to solve the following problems: 5. I have 6 vases. If I put 4 flowers in each vase, how many flowers will there be? 6. There were 8 dogs at the park. How many legs did they have altogether? 7. I have 7 people in my family. How many eyes do we have in all? 8. I want to give every person in my class a piece of gum. There are 35 people in my class. If there are 5 pieces of gum in a pack, how many packs will I need to buy? J. Armstrong 2013 Multiplication Using Equal Groups and Arrays – Problem Solving ANSWER KEY 1. Isabelle has a sheet of stickers. It has 10 rows and there are 7 stickers in each row. How many stickers are on the sheet altogether? 10 x 7 = 70 stickers 2. There are 4 rows of bleachers at the baseball field. If 8 people can sit in each row, how many people can fit on the bleachers in all? 4 x 8 = 32 people 3. There are 3 shelves of cereal boxes at the grocery store. If each shelf holds 12 boxes, how many boxes of cereal are there altogether? 3 x 12 = 36 boxes 4. Michael collects stamps in a book. Each page in his book has 6 rows and he can put 5 stamps in each row. How many stamps can he collect on one page. (Challenge: If there are 4 pages in his book, how many stamps does he have in all?) 6 x 5 = 30 stamps per page Challenge: 30 x 4 = 120 stamps in all 5. I have 6 vases. If I put 4 flowers in each vase, how many flowers will there be? 6 x 4 = 24 flowers 6. There were 8 dogs at the park. How many legs did they have altogether? 8 x 4 = 32 legs 7. I have 7 people in my family. How many eyes do we have in all? 7 x 2 = 14 eyes 8. I want to give every person in my class a piece of gum. There are 35 people in my class. If there are 5 pieces of gum in a pack, how many packs will I need to buy? 5 x 7 = 35 I would need to buy 7 packs of gum. J. Armstrong 2013 Name: ___________________________ Multiplication using Skip Counting - Practice Directions: Use skip counting to solve the following multiplication problems: 1. 2 x 11 = _____ 2. 5 x 7 = _______ 3. 3 x 4 = _______ 4. 4 x 5 = _______ 5. 2 x 7 = _______ 6. 5 x 9 = _______ J. Armstrong 2013 Multiplication using Skip Counting - Practice (page 2) Use skip counting to solve the following problems: 7. There are 5 chairs in each row. How many chairs are there in 12 rows? 8. If each person gets 3 cookies, how many cookies would 6 people get? 9. There are 10 markers in a box. How many markers are there in 8 boxes? 10. I have five people in my family. Each one of us has 6 t-shirts. How many t-shirts do we have in all? J. Armstrong 2013 Multiplication using Skip Counting - Practice ANSWER KEY Use skip counting to solve the following problems: 1. 2 x 11 = 22 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22 2. 5 x 7 = 35 5, 10, 15, 20, 25, 30, 35 3. 3 x 4 = 12 3, 6, 9, 12 4. 4 x 5 = 20 5, 10, 15, 20 5. 2 x 7 = 14 2, 4, 6, 8, 10, 12, 14 6. 5 x 9 = 45 5, 10, 15, 20, 25, 30, 35, 40, 45 7. There are 5 chairs in each row. How many chairs are there in 12 rows? 5 x 12 = 60 chairs 8. If each person gets 3 cookies, how many cookies would 6 people get? 3 x 6 = 18 cookies 9. There are 10 markers in a box. How many markers are there in 8 boxes? 10 x 8 = 80 markers 10. I have five people in my family. Each one of us has 6 t-shirts. How many t-shirts do we have in all? 5 x 6 = 30 t-shirts J. Armstrong 2013 Name: ___________________________ Multiplication using Skip Counting - Homework Directions: Use Skip Counting to solve the following multiplication problems: 1. 7 x 5 = _______ 2. 3. 2 x 8 = _______ 4. 3 x 7 = _______ 4 x 4 = _______ 5. Ms. Armstrong’s class is counting around the room by 3’s. What did the fifth person say? 6. Challenge: Now Ms. Armstrong’s class is counting around the room by 5’s. What will the 15th person say? J. Armstrong 2013 Multiplication using Skip Counting – Homework ANSWER KEY 1. 7 x 5 = 35 2. 3 x 7 = 21 5, 10, 15, 20, 25, 30, 35 3. 2 x 8 = 16 3, 6, 9, 12, 15, 18, 21 4. 4 x 4 = 16 2, 4, 6, 8, 10, 12, 14, 16 4, 8, 12, 16 5. Ms. Armstrong’s class is counting around the room by 3’s. What did the fifth person say? 3, 6, 9, 12, 15 6. Challenge: Now Ms. Armstrong’s class is counting around the room by 5’s. What will the 15th person say? 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75 J. Armstrong 2013 Name: ___________________________ Multiplication using Repeated Addition - Practice Directions: Use Repeated Addition to solve the following problems: 1. 8 x 4 = _______ 2. 7 x 6 = _______ 3. 9 x 4 = _______ 4. 6 x 6 = _______ 5. 3 x 7 = ________ 6. 12 x 4 = _______ J. Armstrong 2013 Multiplication Using Repeated Addition - Practice (page 2) Solve the following problems using Repeated Addition: 7. Pete loves to collect rocks. If he collects 4 rocks per day, how many rocks will he have after one week? 8. April is trying to reach a new reading goal. If she reads 12 pages every morning before school, how many pages will she have read in 5 days? 9. A tiger has 4 legs. How many legs do 6 tigers have? 10. Ian, Colin, Connor, and Jacob each have 4 cookies. How many cookies do they have altogether? J. Armstrong 2013 Multiplication Using Repeated Addition - Practice ANSWER KEY Solve the following problems using Repeated Addition: 1. 8 x 4 = 32 2. 7 x 6 = 42 3. 9 x 4 = 36 4. 6 x 6 = 36 5. 3 x 7 = 21 6. 12 x 4 = 48 7. Pete loves to collect rocks. If he collects 4 rocks per day, how many rocks will he have after one week? 4 x 7 = 28 rocks 8. April is trying to reach a new reading goal. If she reads 12 pages every morning before school, how many pages will she have read in 5 days? 12 x 5 = 60 pages 9. A tiger has 4 legs. How many legs do 7 tigers have? 4 x 6 = 24 legs 10. Ian, Colin, Connor, and Jacob each have 4 cookies. How many cookies do they have altogether? 4 x 4 = 16 cookies J. Armstrong 2013 Name: ___________________________ Multiplication using Repeated Addition - Homework Directions: Use Repeated Addition to solve the following problems: 1. 8 x 6 = _______ 2. 7 x 4 = _______ 3. 9 x 3 = _______ 4. 6 x 7 = _______ 5. If Glenn picks 6 apples every day, how many apples will he have after 4 days? J. Armstrong 2013 Multiplication using Repeated Addition – Homework ANSWER KEY 1. 8 x 6 = 48 2. 7 x 4 = 28 8 + 8 + 8 + 8+ 8 + 8 = 48 3. 9 x 3 = 27 4. 6 x 7 = 42 9 + 9 + 9 = 27 5. 7 + 7 + 7 + 7 = 28 6 + 6 + 6 + 6 + 6 + 6 + 6 = 42 If Glenn picks 6 apples every day, how many apples will he have after 4 days? 6 + 6 + 6 + 6 = 24 apples J. Armstrong 2013 Name: ___________________________ Multiplication using the Distributive Property - Practice Directions: Use the Distributive Property to solve the following problems: 1. 6 x 12 = _______ 2. 3 x 14 = _______ 3. 17 x 5 = _______ 4. 13 x 8 = _______ 5. If Glenn picks 6 apples every day, how many apples will he have after 2 weeks? J. Armstrong 2013 Multiplication using the Distributive Property – Practice – ANSWER KEY Directions: Use the Distributive Property to solve the following problems: 1. 6 x 12 = 72 2. 3 x 14 = 42 6 x 10 = 60 6 x 2 = 12 ------72 3. 17 x 5 = 85 3 x 10 = 30 3 x 4 = 12 ------42 4. 13 x 8 = 104 10 x 5 = 50 7 x 5 = 35 ------85 5. 10 x 8= 80 3 x 8 = 24 ------104 If Glenn picks 6 apples every day, how many apples will he have after 2 weeks? 6 x 14 = 84 apples J. Armstrong 2013 Name: ___________________________ Multiplication using the Distributive Property - Homework Directions: Use the Distributive Property to solve the following problems: 1. 3 x 17 = _______ 2. 15 x 4 = _______ 3. 23 x 4 = _______ 4. 32 x 3 = _______ 5. There are 28 students in the class. If I give each student 3 stickers, how many stickers will I need? J. Armstrong 2013 Multiplication using the Distributive Property – Homework ANSWER KEY 1. 3 x 17 = 51 3 x 10 = 30 3 x 7 = 21 ------51 3. 23 x 4 = 92 2. 15 x 4 = 60 10 x 4= 40 5 x 4 = 20 ------60 4. 3 x 32 = 96 20 x 4 = 80 3 x 4 = 12 ------92 5. 3 x 30= 90 3x2= 6 ------96 There are 28 students in the class. If I give each student 3 stickers, how many stickers will I need? 28 x 3 = 84 stickers J. Armstrong 2013 Name: _________________________ Properties of Multiplication - Practice Directions: Use what you know about the Properties of Multiplication to fill in the blanks below: 1. 3 x 17 = 17 x ____ 2. 3. 23 x 0 = _______ 4. 1 x 32 = _______ 6. 43 x 4 = 4 x _____ 5. 16 x 5 = (10 x ____) + (6 x ____) 4 x (6 x 2) = (4 x 6) x ____ Directions: Identify the Property of Multiplication shown in the problems below: 7. (5 x 2) x 3 = 5 x (2 x 3) _______________________ 8. 5 x 7 = 35 7 x 5 = 35 ______________________ 9. 14 x 1 = 14 _______________________ 10. 6x0=0 ______________________ 11. 6 x 12 = (6 x 10) + (6 x 2) _______________________ 12. 9x6=6x9 ______________________ J. Armstrong 2013 Properties of Multiplication – Practice ANSWER KEY Directions: Use what you know about the Properties of Multiplication to fill in the blanks below: 1. 3 x 17 = 17 x 3 2. 3. 23 x 0 = 0 4. 1 x 32 = 32 6. 43 x 4 = 4 x 43 5. 16 x 5 = (10 x 5) + (6 x 5) 4 x (6 x 2) = (4 x 6) x 2 Directions: Identify the Property of Multiplication shown in the problems below: 7. (5 x 2) x 3 = 5 x (2 x 3) Associative Property 8. 5 x 7 = 35 7 x 5 = 35 Commutative Property 9. 14 x 1 = 14 Identity Property 10. 6x0=0 Zero Property 12. 9x6=6x9 Commutative Property 11. 6 x 12 = (6 x 10) + (6 x 2) Distributive Property J. Armstrong 2013 Name: ________________________ Multiplication Facts Practice #1 4x5 6x3 7x7 8x2 6x5 3x3 9x4 4x8 5x9 11 x 4 6x8 9x3 4x4 6x4 7x8 4x2 6x7 8x3 3x7 2x2 5x7 12 x 3 5x5 6x6 7x4 J. Armstrong 2013 Multiplication Facts Practice # 1 – ANSWER KEY 4x5 6x3 7x7 8x2 6x5 20 18 49 16 30 3x3 9x4 4x8 5x9 11 x 4 9 36 32 45 44 6x8 9x3 4x4 6x4 7x8 48 27 16 24 56 4x2 6x7 8x3 3x7 2x2 8 42 24 21 4 5x7 12 x 3 5x5 6x6 7x4 35 36 25 36 28 J. Armstrong 2013 Name: ________________________ Multiplication Facts Practice #2 9x4 3x5 6x7 8x3 2x7 5x5 4x8 11 x 3 6x6 8x2 7x5 9x3 5x8 4x6 12 x 2 4x3 7x3 9x6 4x7 8x8 9x5 3x6 8x7 12 x 0 9x1 J. Armstrong 2013 Multiplication Facts Practice #2 – ANSWER KEY 9x4 3x5 6x7 8x3 2x7 36 15 42 24 14 5x5 4x8 11 x 3 6x6 8x2 25 32 33 36 16 7x5 9x3 5x8 4x6 12 x 2 35 27 40 24 24 4x3 7x3 9x6 4x7 8x8 12 21 54 28 64 9x5 3x6 8x7 12 x 0 9x1 45 18 56 0 9 J. Armstrong 2013 Note: The following page is for multiplication facts practice, but you will notice that it looks a little different. At the top of the page there is a line that says “Fill in the factor: ____” Simply choose a factor and students will multiply all of the numbers in the boxes by that factor. This is a terrific paper saver! Rather than printing out new test/practice pages, you can just change the factor at the top of the page and students have a brand new set of facts to practice. This works well for independent practice/homework and for timed multiplication tests. It can be differentiated for students working on different multiplication facts. This page also works well in sheet protectors for use with dry-erase markers. J. Armstrong 2013 Name: ________________________ Multiplication Facts Practice Fill in the Factor: ______ Directions: Multiply the following numbers by the factor filled in on the line above. For example, if the factor on the line above is 8, then the first problem would be 8x5. x5 x3 x7 x2 x6 x3 x4 x8 x9 x 11 x9 x3 x4 x6 x8 x2 x7 x3 x1 x2 x 10 x 12 x5 x0 x4 x0 x 11 x1 x 10 x 12 J. Armstrong 2013 Directions: 1. Choose a task card. 2. Decide which strategy to use. 3. Solve the multiplication problem. Make sure to show your work in the correct box on the Recording Sheet. J. Armstrong 2013 12 x 4 = ____ 8 x 6 = _____ 7 x 5 = ___ 5. 3. 1. 4. 9 x 7 = _____ 6. There are 2 wheels on a bike. How many wheels are on 12 bikes? 4 x 18 = ___ 2. 11. Write a multiplication sentence for this array: XXXX XXXX XXXX 7 x 7 = _____ 9. I have 7 people in my family. We have 5 toes on each foot and we each have 2 feet. How many toes do we have in all? 7. 4 x 8 = _____ 12. Crayons come in a box of 16. How many crayons are in 5 boxes?__ 10. There are 6 bananas in a bunch. How many bananas are in 4 bunches? 8. 18. 17. 17 x 3 = _____ There are 4 students at each table. There are 8 tables. How many students are there? There are 9 children at the party. If each child gets 3 cookies, how many cookies are there in all? There are 9 rows of seats at the theater. Each row has 11 seats. How many seats are there in all? 16. Marco runs 3 miles per day. How many miles does he run in a week? 14. 15. 8 x 7 = _____ 13. 24. If Marley reads 5 pages per day, how many days will it take him to read 40 pages? 23. 11 x 8 = _____ There are four rows of flowers in my garden and each row has 9 flowers. How many flowers are in the garden in all? There are 7 different types of crackers at the store. There are 6 boxes of each type. How many boxes of crackers are there? 22. There are 8 pieces of candy in each box. How many pieces of candy are in 5 boxes? 20. 21, Write a multiplication sentence for this array: XXXXX XXXXX XXXXX XXXXX 19. Name: ________________________________ Multiplication Task Cards - Recording Sheet 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. J. Armstrong 2013 Multiplication Task Cards - Recording Sheet (page 2) 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. J. Armstrong 2013 Subtraction Task Cards – ANSWER KEY 1. 5 9. 13. 17. 21. 35 48 49 56 99 seats 8 days 2. 6. 10. 14. 18. 22. 72 63 90 crayons 21 miles 51 36 flowers 3. 7. 11. 15. 19. 23. 48 70 toes 3 x 4 = 12 27 cookies 4 x 5 = 20 42 boxes 4. 8. 12. 16. 20. 24. 24 wheels 24 bananas 32 32 students 40 pieces 88 J. Armstrong 2013 Thank you for purchasing this product!! Fonts: Graphics/Borders/Backgrounds: Credits: