The Dairy Farm Class 5 Maths Chapter 6 CBSE Notes 2025-26

Multiplication is a very important skill in mathematics, and this chapter, "The Dairy Farm," helps you understand its many uses in daily life. You have already learned some basic multiplication facts in earlier classes. 

This lesson focuses on practicing these skills further by solving fun problems, finding patterns, and using simple tricks for larger numbers. It shows how multiplication is useful for things like counting items in groups, figuring out total quantities, and solving problems related to farming or everyday tasks.

Understanding Multiplication in Real Life The chapter starts by asking you to solve puzzles and activities involving multiplication. For example, students are asked to find hidden numbers from clues, arrange digits to get a product close to 100, and count how many items are in dairy groups such as buttermilk pouches. You may also get riddles like finding a two-digit number that fits certain rules, helping you think critically and logically.

Making Numbers and Exploring Operations Activities in the chapter involve making numbers between 0 and 20, by choosing any two numbers from a grid and using operations like addition, subtraction, multiplication, or division. You are encouraged to find different ways to reach the same target using two or even three numbers and more than one operation. This improves your number sense and creativity in mathematics.

Patterns in Multiplication by 10s, 100s, and 1000s A big part of the chapter is about multiplying numbers by 10, 100, and 1,000. It’s easy to do because you only need to add zeros to the number, and each digit moves to the left in the place value table. For example, 4 × 10 = 40, and 3 × 100 = 300. This pattern helps when multiplying larger numbers. There are exercises for you to practice such as filling in the blanks for problems like 8 × 100 = __ and 10 × 100 = __.

You also learn that the order of numbers in multiplication does not change the result. For instance, 3 × 2 and 2 × 3 both equal 6. This is called the commutative property and is a useful shortcut for mental math.

When multiplying by 0, the answer is always 0. For example, both 9 × 0 and 0 × 9 result in 0. Multiplying numbers by thousands is introduced, such as 2 × 1,000 = 2,000 and 10 × 1,000 = 10,000.

The chapter also guides you to practice multiplication with bigger numbers, often by arranging problems neatly in columns (Thousands, Hundreds, Tens, Ones).

Different Ways to Multiply Students learn that there are many ways to multiply numbers, making tough calculations easier. For example, to multiply 18 × 5, you can use several tricks:

• Double and add: Double 18 (get 36), double again (72), add 18 more for 90.
• Break into parts: 10 × 5 + 8 × 5 = 50 + 40 = 90.
• Use estimation and correction: 20 × 5 – 2 × 5 = 100 – 10 = 90.
• Halve and double: Half of 18 is 9, 9 × 5 = 45, double it to get 90.
• Factorization: 18 × 5 = 9 × 10 = 90.

• Problems for practice include doubling and halving, such as 16 × 4 and 38 × 5, and trying nearest multiple tricks, e.g. 4 × 19 = (4 × 20) – 4.

Solving Practical Multiplication Problems The chapter has plenty of word problems to show why multiplication is useful. For example, you might be asked: "If a school auditorium has 35 rows of seats with 42 seats in each row, how many people can sit in the auditorium?" or "Priya jogs 4 kilometres every day. How far will she jog in 31 days?" You simply multiply the given numbers to find the answer. There are also questions about calculating total milk produced by cows, the quantity of fodder required, money saved on composting, and more.

There are sections dedicated to multiplying large numbers, such as 83 × 9 or 94 × 5, and practice tables where you fill in four columns for thousands, hundreds, tens, and ones. Dairy-related problems encourage you to find totals when dealing with large groups, like the number of cows or litres of milk produced per day.

Recognizing Patterns and Checking Work You also get to observe patterns in multiplication, for both numbers and products, such as:

• 16 × 44 = 704 and 8 × 88 = 704, showing that changing the order or combining factors gives the same result.
• Special tricks with numbers like 11 × 11 = 121, 111 × 111 = 12321 help spot mathematical beauty in numbers.
• Shortcut tricks, such as (99 × 100 = 9900, so 99 × 99 = 9900 – 99 = 9801) make mental math faster.

Students are encouraged to check their multiplication work and find errors. For example, after solving problems like 46 × 59, you should check if the answer is reasonable, learn to spot common mistakes, and correct them if necessary.

Practice Makes Perfect Extra practice questions help you master these skills. The chapter ends with more real-life problems, including shopping, sports tournaments, and classroom seating arrangements. By regularly practicing word problems, number puzzles, and multiplication tables, you can become fast and confident in using multiplication for all kinds of problems.

All the strategies, tricks, patterns, and word problems in this chapter are designed to make multiplication easy, accurate, and fun. The ideas you learn here will be useful not just in exams but in day-to-day activities wherever you need to find totals or deal with larger amounts.

CBSE Class 5 Maths Notes Chapter 6 – The Dairy Farm Revision Notes

These CBSE Class 5 Maths Chapter 6 notes for “The Dairy Farm” make learning multiplication easier by showing step-by-step methods and relatable word problems. Students can quickly revise all important concepts, including patterns, tricks, and properties of multiplication, helping boost confidence and accuracy for exams.

By using these clear revision notes, learners understand how to solve math problems in real-life contexts such as farming or daily calculations. Each topic in Class 5 Maths Chapter 6 is explained in a simple manner, ensuring students remember key points and improve their problem-solving skills for school tests and beyond.