Problem Set 13 – Word Problems with Addition and SubtractionClass 5 Maths · Chapter 3 Addition and Subtraction · Problem Set 13 – Maharashtra Board

Summary: Problem Set 13 – Word Problems with Addition and Subtraction

Many word problems give a total and two or more known parts. We must find the part that is missing.

Method 1: add all the known parts first, then take this sum away from the total.

Method 2: take the first known part away from the total, then take the next known part away from what is left.

Both methods give the same answer. Choose the one that feels easier to you.

Always check: add the answer to all the known parts. If you get the total back, your answer is right.

Key points to remember

• Total − (sum of known parts) = missing part
• Or subtract the known parts one by one
• Write the numbers one below the other, place under place
• Ones under ones, tens under tens, and so on
• Carry while adding, borrow while subtracting
• Read the question twice and underline what is asked
• Check by adding all the parts — they must make the total
• Use commas the Indian way: 12,34,567 = 12 lakh 34 thousand 567

Problem Set 13 – Word Problems with Addition and Subtraction – Notes

1. What kind of problem is this?

• The question tells you the whole amount (the total).
• It also tells you some of the parts that make up the total.
• It asks for the part that is not given — like 'the rest', 'the remaining' or 'how many others'.

2. Method 1: add first, then subtract

• Step 1: add all the parts you know.
• Step 2: subtract this sum from the total.
• This way you do only one subtraction, which means fewer chances to make a borrowing mistake.

3. Method 2: subtract one part at a time

• Step 1: subtract the first known part from the total.
• Step 2: from the answer, subtract the second known part.
• For the library: 45,000 − 12,346 = 32,654, then 32,654 − 18,709 = 13,945. Same answer!

4. Check your answer

• Add the answer to all the known parts.
• If the sum equals the given total, the answer is correct.
• If it does not, look again at each column — a missed carry or borrow is the usual reason.

5. Working with big numbers

• Indian place values: ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs.
• Write 28,50,000 as 2850000 when you set up the columns, so the digits line up.
• When the total has many zeros, borrow step by step: 50,000 − 1 = 49,999.

Formulas at a glance

Key terms

Problem Set 13 – Word Problems with Addition and Subtraction – Flashcards

Read the question, answer it in your head, then tap the card to check. 10 cards.

Problem Set 13 – Word Problems with Addition and Subtraction – MCQ Quiz

10 questions. Tap an option — you will see at once if it is right and why.

How to study Problem Set 13 – Word Problems with Addition and Subtraction

⏱ About 25 minutes

1. Learn (5 min)
   Read the two methods and see how the library example is checked.
2. Solve (15 min)
   Do the 4 'Try it yourself' problems. Use Method 1 for two and Method 2 for two.
3. Check (5 min)
   Verify each answer by adding, then take the quiz and play 🎮 Play.