Solved Exercises on Multiplication and Division Problems Worksheet in Grade 4

Master multiplication and division problems through comprehensive worksheet exercises: multi-step problems, real-world applications, and detailed solutions through these 5 exercises.

Worksheet Problems: Complete Guide with Solutions
What Are Multiplication and Division Worksheets?
Structured practice sheets with problems for skill development
Core Concepts & Definitions

Multiplication Problems: Mathematical challenges requiring finding totals of equal groups, repeated addition, or scaling up.

Division Problems: Mathematical challenges involving sharing equally, finding group size, or splitting into equal parts.

Worksheet Problems: Structured mathematical exercises designed for practice and skill reinforcement.

Multi-Step Problems: Problems requiring more than one operation to reach the solution.

📖
Read
🤔
Plan
⚙️
Solve
✅
Check
Multiplication Keywords

• Total

• Times

• Product

• Each

• Per

• Groups of

Division Keywords

• Share

• Split

• Each

• Equal groups

• Per

• Distributed

Problem Types

• Equal groups

• Area problems

• Rate problems

• Sharing problems

• Comparison problems

Basic Facts
Simple multiplication and division facts for fluency practice.
Multi-Digit
Problems involving multi-digit numbers and standard algorithms.
Word Problems
Real-world scenarios requiring application of multiplication and division.
Multi-Step
Complex problems requiring multiple operations to solve.
Draw a Picture
Visualize the problem by creating diagrams or models to understand the situation.
Make a Table
Organize information in a table to identify patterns or relationships.
Work Backwards
Start with the end result and work backwards to find the solution.
Guess and Check
Make an educated guess and verify if it solves the problem.
Step-by-Step Problem Solving Process
  1. Read and Understand: Carefully read the problem and identify what is being asked
  2. Identify Information: Circle or highlight important numbers and key words
  3. Choose Strategy: Decide which problem-solving strategy to use
  4. Set Up Equation: Write the mathematical expression or plan the steps
  5. Solve: Perform calculations carefully
  6. Check: Verify your answer makes sense in the context
  7. Answer: Write a complete sentence with the answer
Worksheet Problems: 1 to 3
1 Multi-step multiplication problem worksheet
Problem 1
A school has 6 classrooms. Each classroom has 7 rows of desks with 5 desks in each row. How many desks are there in total?
Definition:

Multi-step multiplication problem: A problem requiring multiple multiplication operations to find the total

Solution method:
  1. First, find how many desks are in one classroom (rows × desks per row)
  2. Then, multiply by the number of classrooms
  3. Calculate: (7 × 5) × 6
  4. Include the appropriate units in your answer
Problem
6 classrooms × (7 rows × 5 desks)
Solution
210 desks
Step 1: Find desks in one classroom

7 rows × 5 desks per row = 35 desks per classroom

Step 2: Find total desks in all classrooms

6 classrooms × 35 desks per classroom = 210 desks

Step 3: Alternative approach

6 × 7 × 5 = 42 × 5 = 210

Step 4: Check the answer

Estimate: 6 × 35 = 210, so answer is reasonable

6 × (7 × 5) = 210
Final answer:

There are 210 desks in total.

Applied rules:

• Associative property: Order of multiplication doesn't matter

• Multi-step problem: Requires multiple operations

• Verification: 210 ÷ 6 = 35, 35 ÷ 7 = 5 ✓

🏫
Classrooms
6
➡️
Multiply by
→
🪑
Desks per Room
35
🟰
Total Desks
210
2 Division word problem worksheet
Problem 2
A restaurant has 168 chairs to arrange equally in 8 sections. Then, each section is divided into 6 tables. How many chairs are at each table?
Definition:

Multi-step division problem: A problem requiring multiple division operations to find the final answer

Problem
168 ÷ 8 ÷ 6
Solution
3.5 chairs/table
Step 1: Find chairs per section

168 chairs ÷ 8 sections = 21 chairs per section

Step 2: Find chairs per table

21 chairs per section ÷ 6 tables per section = 3.5 chairs per table

Step 3: Alternative approach

168 ÷ (8 × 6) = 168 ÷ 48 = 3.5

Step 4: Check the answer

3.5 × 6 × 8 = 168 ✓

168 ÷ 8 ÷ 6 = 3.5
Final answer:

There are 3.5 chairs at each table.

Applied rules:

• Sequential division: Divide in steps

• Multi-step problem: Requires multiple operations

• Verification: 3.5 × 48 = 168 ✓

🪑
Total Chairs
168
➡️
Divide by Sections
→ 8
➡️
Divide by Tables
→ 6
🟰
Chairs per Table
3.5
3 Multi-step multiplication and division problem worksheet
Problem 3
A store sells notebooks in packages of 9. If they sold 40 packages and want to redistribute them into packages of 6, how many new packages can they make?
Definition:

Multi-step multiplication and division problem: A problem requiring both operations to solve

Problem
(40 × 9) ÷ 6
Solution
60 packages
Step 1: Find total notebooks

40 packages × 9 notebooks per package = 360 notebooks

Step 2: Find new packages

360 notebooks ÷ 6 notebooks per new package = 60 packages

Step 3: Alternative approach

(40 × 9) ÷ 6 = 360 ÷ 6 = 60

Step 4: Check the answer

60 × 6 = 360, and 360 ÷ 9 = 40 ✓

(40 × 9) ÷ 6 = 60
Final answer:

They can make 60 new packages.

Applied rules:

• Combination of operations: Both multiplication and division needed

• Multi-step problem: Requires multiple calculations

• Verification: 60 × 6 = 360, 360 ÷ 9 = 40 ✓

📝
Original Packages
40
➡️
× 9
→ 360
➡️
÷ 6
→ 60
🟰
New Packages
60
Worksheet Strategies & Methods
Total = Rate × Time
Rate Problems
Multiplication
Total = Rate × Quantity
Equal groups
Division
Rate = Total ÷ Quantity
Equal sharing
Multi-Step
Multiple Operations
Complex problems
Key definitions:

Multiplication: Repeated addition of equal groups

Division: Sharing equally or finding group size

Rate: Amount per unit (per hour, per day, per item)

Unit: The measurement used (dollars, hours, items)

Complete methodology:
  1. Read and understand: What is being asked?
  2. Identify key information: Circle numbers and important words
  3. Choose strategy: Which approach works best?
  4. Plan the solution: What operations are needed?
  5. Solve: Perform calculations carefully
  6. Check: Does the answer make sense?
  7. Answer: Include units and complete sentence
Tip 1: Draw a picture to visualize the problem.
Tip 2: Make a table to organize information.
Tip 3: Estimate your answer first to check reasonableness.
Tip 4: Always include units in your final answer.
Common errors: Misreading the question, choosing wrong operations, forgetting units.
Key notes: Multi-step problems require careful planning and organization.
Important rules to remember:

• Multiplication: Use when finding totals of equal groups

• Division: Use when sharing equally or finding group size

• Keywords: Look for "each," "total," "share," "split"

• Units: Always include appropriate units in your answer

🔍
Read
Understand the problem
⚙️
Plan
Choose operations
✅
Check
Verify solution
Worksheet Problems: 4 to 5
4 Real-world rate problem worksheet
Problem 4
A delivery truck can carry 25 packages per trip and makes 8 trips per day. If it operates for 6 days, how many packages does it deliver in total?
Definition:

Rate problem: A problem involving rates of production, delivery, or consumption over time

Problem
25 × 8 × 6
Solution
1200 packages
Step 1: Find packages per day

25 packages per trip × 8 trips per day = 200 packages per day

Step 2: Find total packages over 6 days

200 packages per day × 6 days = 1200 packages

Step 3: Alternative approach

25 × 8 × 6 = 25 × 48 = 1200

Step 4: Check the answer

1200 ÷ 6 = 200, and 200 ÷ 8 = 25 ✓

25 × 8 × 6 = 1200
Final answer:

The truck delivers 1200 packages in total.

Applied rules:

• Rate calculation: Packages per trip × trips per day × days

• Multi-step multiplication: Three numbers multiplied

• Verification: 1200 ÷ (25 × 8) = 6 ✓

📦
Per Trip
25
➡️
× Trips/Day
× 8
➡️
× Days
× 6
🟰
Total
1200
5 Multi-step sharing problem worksheet
Problem 5
Sophia bought 7 boxes of crayons. Each box contains 24 crayons. She wants to share them equally among her 8 friends. How many crayons does each friend get?
Definition:

Multi-step sharing problem: A problem requiring multiplication to find total, then division to share equally

Problem
(7 × 24) ÷ 8
Solution
21 crayons each
Step 1: Find total crayons

7 boxes × 24 crayons per box = 168 crayons

Step 2: Share equally among friends

168 crayons ÷ 8 friends = 21 crayons per friend

Step 3: Alternative approach

(7 × 24) ÷ 8 = 168 ÷ 8 = 21

Step 4: Check the answer

21 × 8 = 168, and 168 ÷ 24 = 7 ✓

(7 × 24) ÷ 8 = 21
Final answer:

Each friend gets 21 crayons.

Applied rules:

• Combination of operations: Both multiplication and division needed

• Equal sharing: Total divided by number of recipients

• Verification: 21 × 8 = 168, 168 ÷ 7 = 24 ✓

🎨
Boxes
7
➡️
× Per Box
× 24
➡️
÷ Friends
÷ 8
🟰
Per Friend
21

Questions & Answers

Question: How do I know if I need to multiply or divide in a word problem?

Answer: Look for key words and think about what the problem is asking:

  • Multiply when: You need to find a total of equal groups ("each," "times," "product," "area")
  • Divide when: You need to share equally or find how many groups ("share," "split," "each," "per," "distribute")

For example: "There are 4 apples in each basket and 5 baskets" → Multiply (4 × 5)

"Share 20 apples equally among 4 children" → Divide (20 ÷ 4)

Question: My child has trouble with multi-step problems. How can I help them break them down?

Answer: Here are strategies to help with multi-step problems:

  • Have your child read the problem multiple times
  • Circle or highlight important numbers and words
  • Break the problem into smaller parts
  • Ask: "What do I know?" and "What do I need to find?"
  • Look for key operation words (multiply/divide words)
  • Draw a simple picture or diagram for each step

Encourage them to solve one step at a time!

Question: How do I check if my answer makes sense?

Answer: Here are several ways to check your answer:

  • Estimate first - does your exact answer match your estimate?
  • Use the opposite operation (multiply to check division, divide to check multiplication)
  • Plug your answer back into the original problem
  • Ask yourself: "Does this make sense in the real world?"
  • Check that your units are correct

For example, if you found 500 apples in a problem about 5 kids sharing 20 apples, you know something went wrong!