What is a Multi-Step Problem?

S1-SA1-0186

Grade Level:

Class 4

Maths, Logic, Computing, AI

Definition

What is it?

A multi-step problem is a math problem that requires two or more mathematical operations (like addition, subtraction, multiplication, or division) to find the final answer. You cannot solve it in just one step; you need to break it down into smaller, simpler steps.

Simple Example

Quick Example

Imagine you buy a packet of biscuits for ₹20 and a juice box for ₹15. You pay with a ₹50 note. How much change do you get back? First, you add the cost of biscuits and juice. Then, you subtract that total from ₹50 to find the change.

Worked Example

Step-by-Step

Rohan's mom gave him ₹100. He bought a notebook for ₹35 and two pens, each costing ₹10. How much money does Rohan have left?

Step 1: Find the total cost of the pens.
Cost of one pen = ₹10
Cost of two pens = 10 * 2 = ₹20

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Step 2: Find the total amount Rohan spent.
Cost of notebook = ₹35
Cost of pens = ₹20
Total spent = 35 + 20 = ₹55

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Step 3: Find the money Rohan has left.
Initial money = ₹100
Total spent = ₹55
Money left = 100 - 55 = ₹45

Answer: Rohan has ₹45 left.

Why It Matters

Understanding multi-step problems builds strong logical thinking, which is crucial for higher Maths, Computing, and even Artificial Intelligence. Engineers, data scientists, and business analysts use this skill daily to solve complex real-world challenges.

Common Mistakes

MISTAKE: Trying to solve the entire problem in one go without breaking it down. | CORRECTION: Read the problem carefully, identify all the information given, and list the operations needed in the correct order.

MISTAKE: Performing operations in the wrong order (e.g., subtracting before multiplying when multiplication should come first). | CORRECTION: Remember the order of operations (BODMAS/PEMDAS) and think about what needs to be calculated first to get the necessary information for the next step.

MISTAKE: Missing one of the steps or forgetting to use all the given information. | CORRECTION: After each step, re-read the original question and check if you've used all the relevant numbers and if your intermediate answer makes sense towards solving the main question.

Practice Questions

Try It Yourself

QUESTION: A baker made 50 ladoos. He sold 30 in the morning and 15 in the afternoon. How many ladoos are left? | ANSWER: 5 ladoos

QUESTION: A bus started with 45 passengers. At the first stop, 10 passengers got off and 7 got on. How many passengers are on the bus now? | ANSWER: 42 passengers

QUESTION: Priya bought 3 packets of stickers. Each packet has 12 stickers. She gave 8 stickers to her friend. How many stickers does Priya have left? | ANSWER: 28 stickers

MCQ

Quick Quiz

Which of these is most likely a multi-step problem?

Finding the total cost of 5 samosas at ₹10 each.

Calculating the change you get after buying an item for ₹40 with a ₹100 note.

Adding the number of boys and girls in a class.

Finding the area of a square with side 5 cm.

The Correct Answer Is:

Option B requires two steps: first, subtracting the item's cost from the money given, then finding the change. Options A, C, and D can all be solved in a single step.

Real World Connection

In the Real World

When you budget for a family trip, you first calculate the total cost of tickets, then accommodation, then food, and then add them all up. If you have a total budget, you then subtract the total expenses to see if you have enough money or need to adjust plans. This is exactly how multi-step problems work in real life, whether it's managing your pocket money or planning a large event.

Key Vocabulary

Key Terms

OPERATION: A mathematical action like addition, subtraction, multiplication, or division. | INTERMEDIATE STEP: A step that gives a partial answer, leading to the final solution. | SOLUTION: The final answer to a problem. | STRATEGY: A plan or method used to solve a problem.

What's Next

What to Learn Next

Now that you understand multi-step problems, you can move on to learning about 'Word Problems with Mixed Operations'. This will help you identify which operations to use in different real-world scenarios, making you a super problem-solver!