What is a Word Problem?

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Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

A word problem is like a small story or a real-life situation described using words, which you need to solve using maths. Instead of just giving you numbers, it puts numbers into a context, like counting mangoes or calculating cricket scores. You have to read the story, understand what it's asking, and then figure out which mathematical operation (like addition, subtraction, multiplication, or division) to use.

Simple Example

Quick Example

Imagine your friend has 5 laddoos, and you give them 3 more. How many laddoos does your friend have now? This is a word problem! You read the story about laddoos, see that you're adding more, and then you'll use addition to find the total.

Worked Example

Step-by-Step

PROBLEM: Riya bought 4 packets of biscuits. Each packet has 6 biscuits. How many biscuits did Riya buy in total? --- STEP 1: Understand the story. Riya has packets of biscuits, and we need to find the total number of biscuits. --- STEP 2: Identify the numbers. Riya bought 4 packets. Each packet has 6 biscuits. --- STEP 3: Figure out the operation. Since each packet has the same number of biscuits, and we want the total, we need to multiply the number of packets by the number of biscuits in each packet. --- STEP 4: Do the calculation. 4 packets * 6 biscuits/packet = 24 biscuits. --- Answer: Riya bought 24 biscuits in total.

Why It Matters

Word problems help you use maths in real life, not just with abstract numbers. They are crucial for everyday tasks like managing your pocket money or planning a trip. Many jobs, from a shopkeeper calculating change to an engineer designing a bridge, rely on solving real-world problems using mathematical thinking.

Common Mistakes

MISTAKE: Jumping straight to calculations without reading the whole problem carefully. | CORRECTION: Always read the entire problem at least twice to fully understand what is being asked and what information is given.

MISTAKE: Using the wrong mathematical operation (e.g., adding instead of multiplying). | CORRECTION: Look for keywords in the problem (like 'total', 'altogether', 'left', 'share equally') that hint at the correct operation.

MISTAKE: Forgetting to write the units in the final answer (e.g., just writing '24' instead of '24 biscuits'). | CORRECTION: Always include the correct units (like rupees, kilograms, students, etc.) with your final answer to make it meaningful.

Practice Questions

Try It Yourself

QUESTION: Your mom gave you Rs 50 for chai. You spent Rs 30. How much money do you have left? | ANSWER: Rs 20

QUESTION: A auto-rickshaw charges Rs 15 for the first kilometer and Rs 10 for every kilometer after that. How much will it cost to travel 3 kilometers? | ANSWER: Rs 35 (Rs 15 + Rs 10 + Rs 10)

QUESTION: For a school picnic, there are 25 students. Each student needs 2 samosas and 1 juice box. If samosas come in packs of 10 and juice boxes in packs of 5, how many packs of samosas and juice boxes need to be bought? | ANSWER: 5 packs of samosas (25*2=50 samosas; 50/10=5 packs) and 5 packs of juice boxes (25*1=25 juice boxes; 25/5=5 packs)

MCQ

Quick Quiz

Which of these is the first step to solve any word problem?

Start calculating with the numbers given.

Understand what the problem is asking.

Guess the answer and then check.

Look for the biggest number in the problem.

The Correct Answer Is:

The first and most important step is always to understand the problem. Without understanding what is being asked, you cannot choose the correct operation or even know what to calculate.

Real World Connection

In the Real World

When you buy groceries at the kirana store, the shopkeeper mentally calculates the total cost of different items and the change you should get. This is solving a word problem! Similarly, when you use a food delivery app like Swiggy or Zomato, the app solves complex word problems to calculate delivery time, total cost including discounts, and even the best route for the delivery agent.

Key Vocabulary

Key Terms

OPERATION: A mathematical action like addition, subtraction, multiplication, or division. | CONTEXT: The situation or story described in the problem. | KEYWORDS: Words that give clues about which mathematical operation to use. | SOLUTION: The answer to the problem. | UNITS: The specific measure of what you are counting, like rupees, kilograms, or students.

What's Next

What to Learn Next

Now that you understand what word problems are, the next step is to practice identifying keywords and choosing the correct operations. This will help you become a master at solving all kinds of maths challenges, from simple daily calculations to complex science problems.