Multiplication Word Problems (Grade 3)
Multiplication word problems ask you to use multiplication to find an answer from a real-life situation. In Class 3, you already know the multiplication tables from 2 to 9. Now you learn when to multiply by reading a story carefully.
A word problem gives information in sentences. You must pick out the numbers, decide the operation, solve, and write the answer with the correct unit (rupees, pencils, kg, etc.).
Multiplication word problems appear in many everyday activities — shopping, cooking, arranging things in rows, and sharing items equally among friends. Mastering these problems builds the bridge between knowing multiplication facts and using them in real life.
What is Multiplication Word Problems - Class 3 Maths (Multiplication)?
A multiplication word problem is a short story that describes a situation where equal groups, repeated addition, or "times as many" is involved. You multiply two numbers to get the product, which is the answer.
Total = Number of groups × Number in each group
The two numbers you multiply are called factors, and the answer is the product.
Multiplication Word Problems (Grade 3) Formula
Product = Multiplicand × Multiplier
Steps to solve a word problem:
- Read the problem carefully — at least twice.
- Find the two important numbers.
- Check if groups are equal — if yes, multiply.
- Write the multiplication sentence (e.g., 6 × 8 = ?).
- Solve using your tables.
- Write the answer with the unit (rupees, biscuits, chairs, etc.).
- Check by estimation — does the answer make sense?
Types and Properties
Word problems in Class 3 usually fall into these types:
- Equal groups — "5 bags with 8 oranges each. How many oranges in all?" Here you know the number of groups and the size of each group. Multiply to find the total.
- Repeated addition — "Aman waters 4 plants every day for 7 days. How many times?" The same action happens again and again.
- Array / rows and columns — "6 rows of chairs with 9 chairs in each row." Objects are arranged in a rectangular pattern.
- Comparison (times as many) — "Priya has 3 times as many stickers as Meera." One quantity is a multiple of another.
- Price / rate — "One notebook costs ₹12. What is the cost of 7 notebooks?" You multiply the rate by the quantity.
Clue words that tell you to multiply:
| Clue Word | Example Sentence |
|---|---|
| each | "Each box has 6 apples." |
| every | "He reads 5 pages every day." |
| per | "₹8 per pencil." |
| times as many | "4 times as many marbles." |
| in all / total / altogether | "How many in all?" |
| groups of | "3 groups of 7 students." |
Solved Examples
Example 1: Equal Groups
Question: Ria has 6 packets of biscuits. Each packet has 8 biscuits. How many biscuits does she have in all?
Think:
- Number of packets (groups) = 6
- Biscuits in each packet (group size) = 8
- Equal groups → multiply
- 6 × 8 = 48
Answer: Ria has 48 biscuits.
Example 2: Price Problem
Question: One pencil costs ₹4. Aman buys 9 pencils. How much does he pay?
Think:
- Cost of 1 pencil = ₹4
- Number of pencils = 9
- Total cost = 9 × 4 = 36
Answer: Aman pays ₹36.
Example 3: Array Problem
Question: In the school hall, chairs are arranged in 7 rows with 8 chairs in each row. How many chairs are there?
Think:
- Rows = 7, chairs per row = 8
- This is an array — multiply rows × columns
- Total = 7 × 8 = 56
Answer: There are 56 chairs.
Example 4: Repeated Addition Situation
Question: Meera reads 5 pages of her book every day. How many pages does she read in 6 days?
Think:
- Pages per day = 5
- Number of days = 6
- Same amount every day → multiply
- Total pages = 6 × 5 = 30
Answer: Meera reads 30 pages in 6 days.
Example 5: Comparison (Times As Many)
Question: Dev has 7 marbles. Arjun has 4 times as many marbles as Dev. How many marbles does Arjun have?
Think:
- Dev's marbles = 7
- "4 times as many" → multiply by 4
- 4 × 7 = 28
Answer: Arjun has 28 marbles.
Example 6: Weight Problem
Question: A bag of rice weighs 5 kg. Neha's father buys 8 bags. What is the total weight?
Think:
- Weight of 1 bag = 5 kg
- Number of bags = 8
- Total weight = 8 × 5 = 40 kg
Answer: The total weight is 40 kg.
Example 7: Two-digit × One-digit
Question: There are 12 students in each group for a school project. There are 4 groups. How many students are working on the project?
Think:
- Students per group = 12
- Groups = 4
- Total = 4 × 12
- Break it: 4 × 10 = 40, 4 × 2 = 8, 40 + 8 = 48
Answer: 48 students are working on the project.
Example 8: Multi-Step Problem
Question: Aditi buys 3 packs of crayons. Each pack has 8 crayons. She already had 5 crayons at home. How many crayons does she have now?
Think:
- Step 1: Crayons from packs = 3 × 8 = 24
- Step 2: Crayons at home = 5
- Step 3: Total = 24 + 5 = 29
Answer: Aditi has 29 crayons. (This is a multi-step problem — first multiply, then add.)
Example 9: Transport Problem
Question: An auto-rickshaw can carry 3 passengers. How many passengers can 9 auto-rickshaws carry?
Think:
- Passengers per auto = 3
- Number of autos = 9
- Total = 9 × 3 = 27
Answer: 9 auto-rickshaws can carry 27 passengers.
Real-World Applications
Where do we use multiplication word problems?
- Shopping — finding total cost when buying many items at the same price. "5 notebooks at ₹12 each = 5 × 12 = ₹60."
- Cooking — doubling or tripling a recipe. "If 1 batch needs 3 cups of flour, 4 batches need 4 × 3 = 12 cups."
- Seating — counting chairs in rows, students in groups, desks in classrooms.
- Packing — items per box × number of boxes gives total items.
- Time — pages read per day × number of days gives total pages read.
- Sports — runs scored per over × number of overs in cricket.
Key Points to Remember
- Read the problem twice before solving.
- Look for clue words: each, every, per, times as many, in all, total, altogether.
- "Each" or "every" almost always means multiplication.
- Write a number sentence (like 6 × 8 = ?) before calculating.
- Always include the unit (rupees, kg, pages, etc.) in your answer.
- Check your answer by estimation — if 6 × 8, the answer should be close to 50, not 500.
- In multi-step problems, do multiplication first, then add or subtract.
- If you are confused between multiplication and addition, ask: "Are the groups equal?" If yes, multiply.
Practice Problems
- A shopkeeper sells 7 mangoes to each customer. He serves 6 customers. How many mangoes does he sell in total?
- Kavi buys 5 notebooks at ₹9 each. How much does he spend?
- There are 8 rows of desks in a classroom. Each row has 6 desks. How many desks are there in all?
- Priya makes 4 chapatis for each family member. There are 5 members. How many chapatis does she make?
- Rahul has 3 times as many toy cars as Dev. Dev has 8 toy cars. How many toy cars does Rahul have?
- A cricket team plays 9 matches. They score 7 boundaries in each match. How many boundaries did they score in all?
- Neha has 6 boxes. Each box has 12 bangles. How many bangles does she have altogether?
Frequently Asked Questions
Q1. What are multiplication word problems?
They are short stories or real-life situations where you need to multiply two numbers to find the answer. The problem tells you about equal groups, repeated actions, or rates.
Q2. Which words tell me to multiply?
Words like "each", "every", "per", "times as many", "in all", "total", and "altogether" are strong clues that you need to multiply.
Q3. How is a multiplication word problem different from an addition word problem?
In addition, the groups are usually different sizes and you combine them. In multiplication, the groups are equal in size and you find the total by multiplying the number of groups by the size of each group.
Q4. Can a word problem have both multiplication and addition?
Yes. These are called multi-step problems. You solve the multiplication part first, then add or subtract as needed. For example: "3 packs of 8 crayons plus 5 extra" = 3 × 8 + 5 = 29.
Q5. What should I write in the answer?
Always write the number along with the correct unit. For example, write "48 biscuits" or "₹36", not just "48" or "36".
Q6. What if I cannot figure out which numbers to multiply?
Underline the numbers in the problem. Then ask: Are these groups equal? If yes, the number of groups times the items in each group gives the answer.
Q7. Why should I estimate before solving?
Estimation helps you check if your final answer makes sense. If 6 × 8 gives you 480 by mistake, estimation (close to 50) will help you catch the error quickly.
Q8. Is the order of multiplication important in word problems?
No. Multiplication is commutative — 6 × 8 and 8 × 6 both give 48. However, writing the number sentence to match the story makes it easier to understand.
Q9. Are multiplication word problems part of the NCERT Class 3 syllabus?
Yes. NCERT Class 3 Maths covers multiplication word problems in the chapters on multiplication, encouraging students to apply tables to real-life situations.
Related Topics
- Multiplication of 2-Digit by 1-Digit
- Division Word Problems (Grade 3)
- Multiplication Concept (Grade 3)
- Multiplication Tables of 3 and 4
- Multiplication Tables of 6 and 7
- Multiplication Tables of 8 and 9
- Multiplication by 10 and 100
- Properties of Multiplication
- Multiplying by 0 and 1
- Multiplication Tables (2 to 10)
- Multiplication of 2-Digit Numbers (Grade 3)
