Multiplication Patterns
Grade 3 · Mathematics · Worksheet 2
- Liam is organizing his sticker collection into a large book. Each page of the book holds 8 rows of stickers, and each row can fit 12 stickers. If Liam completely fills 9 pages, how many stickers does he have in total? Answer: ______________
- A farmer plants a rectangular field with corn. The field has 25 rows, and each row contains 40 corn plants. If you visualize this field as an array of dots where each dot represents one corn plant, how many dots would be in the entire array? Answer: ______________
- A bakery is preparing for a school fair. They need to make enough cookies so that each of the 24 classes in the school district gets 36 cookies. How many cookies does the bakery need to bake in total? Answer: ______________
- A bakery is preparing for a weekend festival. They need to bake cookies for gift boxes. Each gift box contains 24 cookies, and they plan to make 35 boxes. How many cookies do they need to bake in total? Answer: ______________
- A school is organizing a field trip and needs to pack lunches for all the students. Each lunch bag contains 1 sandwich, 1 juice box, and 1 apple. If there are 24 students in the third-grade class, and the teacher has already packed 15 complete lunch bags, how many more complete lunch bags does she need to pack? Answer: ______________
- A bakery is preparing for a community festival. They need to bake enough cookies to fill 24 boxes, with each box containing 15 cookies. How many cookies does the bakery need to bake in total? Answer: ______________
- A farmer plants a rectangular field with corn. The field has 15 rows of corn plants, and each row contains 28 corn plants. If you visualize this arrangement as a grid of dots where each dot represents one corn plant, how many dots would be in the entire array? Answer: ______________
- A bakery is preparing for a school fair. They need to make 8 trays of cookies, and each tray holds 24 cookies. How many cookies will the bakery make in total? Answer: ______________
Answer Key & Explanations
Multiplication Patterns · Grade 3 · Worksheet 2
- Liam is organizing his sticker collection into a large book. Each page of the book holds 8 rows of stickers, and each row can fit 12 stickers. If Liam completely fills 9 pages, how many stickers does he have in total? Answer: 864 Solution: Find the number of stickers per row. Each row fits 12 stickers. Find the number of stickers per page.
Full step-by-step solution
Let's break this down step by step.
Step 1: Find the number of stickers per row.
Each row fits 12 stickers.
Step 2: Find the number of stickers per page.
Each page has 8 rows, so:
stickers per page = 8 rows × 12 stickers per row
= 8 × 12 = 96 stickers.
Step 3: Find the total stickers for 9 pages.
Liam fills 9 pages completely, so:
total stickers = 9 pages × 96 stickers per page
= 9 × 96
Step 4: Calculate 9 × 96.
First, 9 × 90 = 810
Then, 9 × 6 = 54
Add them: 810 + 54 = 864.
So, Liam has 864 stickers in total.
- A farmer plants a rectangular field with corn. The field has 25 rows, and each row contains 40 corn plants. If you visualize this field as an array of dots where each dot represents one corn plant, how many dots would be in the entire array? Answer: 1000 Solution: The field has 25 rows of corn plants. Each row contains 40 corn plants. To find the total number of corn plants, multiply the number of rows by the number of plants in each row.
Full step-by-step solution
Step 1: The field has 25 rows of corn plants.
Step 2: Each row contains 40 corn plants.
Step 3: To find the total number of corn plants, multiply the number of rows by the number of plants in each row.
Step 4: 25 × 40 = ?
Step 5: First, multiply 25 × 4 = 100
Step 6: Since we actually have 25 × 40, we need to multiply 100 × 10 = 1000
Step 7: Alternatively, 25 × 40 = 25 × (4 × 10) = (25 × 4) × 10 = 100 × 10 = 1000
Step 8: The total number of corn plants is 1000.
The answer is 1000.
- A bakery is preparing for a school fair. They need to make enough cookies so that each of the 24 classes in the school district gets 36 cookies. How many cookies does the bakery need to bake in total? Answer: 864 Solution: Identify the number of groups (classes) and the number in each group (cookies per class). There are 24 classes. Each class gets 36 cookies.
Full step-by-step solution
Step 1: Identify the number of groups (classes) and the number in each group (cookies per class).
Step 2: There are 24 classes.
Step 3: Each class gets 36 cookies.
Step 4: To find the total number of cookies, multiply the number of classes by the number of cookies per class: 24 × 36.
Step 5: Calculate 24 × 36.
Step 6: First, multiply 24 by 30: 24 × 30 = 720.
Step 7: Then, multiply 24 by 6: 24 × 6 = 144.
Step 8: Add the two results together: 720 + 144 = 864.
The bakery needs to bake 864 cookies.
- A bakery is preparing for a weekend festival. They need to bake cookies for gift boxes. Each gift box contains 24 cookies, and they plan to make 35 boxes. How many cookies do they need to bake in total? Answer: 840 Solution: Each gift box contains 24 cookies. They are making 35 boxes.
Full step-by-step solution
Step 1: Each gift box contains 24 cookies.
Step 2: They are making 35 boxes.
Step 3: To find the total number of cookies, multiply the number of cookies per box by the number of boxes: 24 × 35
Step 4: First, multiply 24 by 30: 24 × 30 = 720
Step 5: Then, multiply 24 by 5: 24 × 5 = 120
Step 6: Add the two results: 720 + 120 = 840
Step 7: The bakery needs to bake 840 cookies in total.
- A school is organizing a field trip and needs to pack lunches for all the students. Each lunch bag contains 1 sandwich, 1 juice box, and 1 apple. If there are 24 students in the third-grade class, and the teacher has already packed 15 complete lunch bags, how many more complete lunch bags does she need to pack? Answer: 9 Solution: Identify the total number of lunch bags needed for all students. There are 24 students, so 24 lunch bags are needed. Identify how many lunch bags have already been packed.
Full step-by-step solution
Step 1: Identify the total number of lunch bags needed for all students. There are 24 students, so 24 lunch bags are needed.
Step 2: Identify how many lunch bags have already been packed. The teacher has packed 15 lunch bags.
Step 3: Find the difference to determine how many more are needed. Subtract the number packed from the total needed: 24 - 15.
Step 4: Calculate 24 - 15 = 9.
The teacher needs to pack 9 more complete lunch bags.
- A bakery is preparing for a community festival. They need to bake enough cookies to fill 24 boxes, with each box containing 15 cookies. How many cookies does the bakery need to bake in total? Answer: 360 Solution: The bakery has 24 boxes of cookies. Each box contains 15 cookies. To find the total number of cookies, multiply the number of boxes by the number of cookies in each box: 24 × 15.
Full step-by-step solution
Step 1: The bakery has 24 boxes of cookies.
Step 2: Each box contains 15 cookies.
Step 3: To find the total number of cookies, multiply the number of boxes by the number of cookies in each box: 24 × 15.
Step 4: First, multiply 24 by 10: 24 × 10 = 240.
Step 5: Then, multiply 24 by 5: 24 × 5 = 120.
Step 6: Add the two results together: 240 + 120 = 360.
The bakery needs to bake 360 cookies in total.
- A farmer plants a rectangular field with corn. The field has 15 rows of corn plants, and each row contains 28 corn plants. If you visualize this arrangement as a grid of dots where each dot represents one corn plant, how many dots would be in the entire array? Answer: 420 Solution: The field has 15 rows of corn plants. Each row contains 28 corn plants. To find the total number of corn plants, multiply the number of rows by the number of plants in each row.
Full step-by-step solution
Step 1: The field has 15 rows of corn plants.
Step 2: Each row contains 28 corn plants.
Step 3: To find the total number of corn plants, multiply the number of rows by the number of plants in each row.
Step 4: 15 × 28 = ?
Step 5: First, multiply 15 × 20 = 300
Step 6: Then, multiply 15 × 8 = 120
Step 7: Add the partial products: 300 + 120 = 420
Step 8: The total number of corn plants is 420.
The answer is 420.
- A bakery is preparing for a school fair. They need to make 8 trays of cookies, and each tray holds 24 cookies. How many cookies will the bakery make in total? Answer: 192 Solution: The bakery is making 8 trays of cookies. Each tray holds 24 cookies. To find the total number of cookies, multiply the number of trays by the number of cookies per tray: 8 × 24.
Full step-by-step solution
Step 1: The bakery is making 8 trays of cookies.
Step 2: Each tray holds 24 cookies.
Step 3: To find the total number of cookies, multiply the number of trays by the number of cookies per tray: 8 × 24.
Step 4: Calculate 8 × 20 = 160.
Step 5: Calculate 8 × 4 = 32.
Step 6: Add the two results together: 160 + 32 = 192.
The bakery will make 192 cookies in total.