NCERT Class 5 Mathematics Math-Mela: Chapter 4 — Travellers — II
This chapter, 'Travellers — II' from NCERT's Class 5 Mathematics textbook 'Math-Mela', focuses on two main areas: making sums equal through number interchanges and fuel arithmetic. Students learn to strategically swap numbers between two groups to achieve equal sums, emphasizing efficiency with the least number of moves. The chapter also introduces the concept of fuel quantities required for different vehicles, ranging from motorbikes to trains, and highlights the importance of fuel conservation due to its limited nature. It touches upon reducing pollution and the benefits of electric vehicles. Practical application is reinforced through addition problems involving fuel quantities and general number addition, encouraging students to find easier ways to solve them. This chapter helps students develop problem-solving skills and an understanding of real-world applications of mathematics.
Quick info
| Board | CBSE / NCERT |
|---|---|
| Class | Class 5 |
| Subject | Mathematics |
| Book | Math-Mela |
| Chapter | Chapter 4 — Travellers — II |
| Language | English |
| PDF type | NCERT Textbook |
| Session | CBSE 2026 |
| Reading time | 2 minutes |
| Word count | 364 |
Learning outcomes
- Understand and apply strategies to make sums of numbers equal by interchanging elements.
- Calculate fuel quantities for different vehicles.
- Recognize the importance of fuel conservation and its environmental impact.
- Perform addition of two-digit and three-digit numbers using place value.
- Identify and use easier methods for adding pairs of numbers.
Vocabulary
| Word | Meaning |
|---|---|
| Interchange | To swap or exchange places. |
| Quantities | Amounts or volumes of something. |
| Conservation | The protection of natural resources. |
| Pollution | Harmful substances introduced into the environment. |
| Regroup | To carry over a ten when adding or subtracting. |
| Place value | The value of a digit based on its position in a number. |
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Practice questions
- If you interchange 3 and 7 between the two groups, will the sums become equal? (Assume a scenario where sums are not equal initially). Answer: This depends on the original numbers in the groups. Interchanging specific numbers changes the sums by twice the difference between the swapped numbers.
- A car needs 35 litres of fuel. If it has 12 litres, how much more fuel is needed? Answer: 23 litres
- Add 58 and 74. Answer: 132
- Find an easier way to add 46 + 99. Answer: Add 100 and subtract 1: 46 + 100 - 1 = 145.
Frequently asked questions
What is the main goal of the 'Making Sums Equal' section?
The goal is to interchange pairs of numbers between two groups to make their sums equal, using the fewest possible moves.
What is the typical fuel range for a motorbike mentioned in the chapter?
Motorbikes typically need 5 to 15 litres of fuel.
Why is fuel conservation important?
Fuel is a limited resource, and conserving it helps reduce pollution and cut down on environmental damage.
What is place value in addition?
Place value helps in adding numbers by considering the value of each digit (ones, tens, hundreds) separately and regrouping when necessary.
What does it mean to 'regroup' in addition?
Regrouping means carrying over a ten (or a hundred) to the next place value column when the sum of digits in a column exceeds 9.
What are the benefits of electric vehicles mentioned?
Electric vehicles help conserve natural fuel and reduce pollution.
Related resources
Important topics
Topics covered
NCERT Class 5 Mathematics — Math-Mela — Chapter 4 — Travellers — II. Verified by NCERT Help Editorial Team. Reviewed on 29 Jul 2026. Last updated 10 Aug 2026.