NCERT Solutions for Class 6 Maths Chapter The Dairy Farm

This worksheet is designed for Class 6 Maths students and focuses on the chapter The Dairy Farm. This chapter helps students explore different ways of multiplication, patterns, and problem-solving strategies using real-life situations like arranging butter packets and working on number-based activities. It is important because it builds a strong foundation in multiplication concepts and logical thinking. This worksheet provides complete and accurate NCERT Solutions that strictly follow the structure and content of the chapter.

Chapter summary: stories, poems & themes

This chapter is activity-based and focuses on mathematical thinking through real-life situations. Students work with patterns, multiplication facts, number clues, and arrangements of objects like butter packets. The main theme of the chapter is understanding multiplication in different ways, identifying patterns, and applying strategies such as doubling and halving and nearest multiples. The activities encourage observation, reasoning, and discussion in class.

What this NCERT chapter covers?

• Understanding multiplication through patterns and arrangements  
• Learning different strategies like doubling and halving  
• Exploring multiplication with 10s, 100s, and 1000s  
• Developing logical thinking using number clues  
• Solving real-life word problems using multiplication  
• Observing patterns in number operations  

How to use these NCERT solutions?

Students should first try solving the questions on their own and then check the answers using this worksheet. Parents and teachers can use these solutions to guide children step-by-step. The solutions follow the exact NCERT order and structure, making it easier for revision and concept clarity. This approach helps students understand mistakes and improve problem-solving skills.

Student tips & learning tricks

• Always look for patterns in multiplication to simplify calculations  
• Use strategies like doubling and halving to make multiplication easier  
• Break numbers into smaller parts for quick calculation  
• Be careful with place value when multiplying by 10, 100, or 1000  
• Read word problems carefully and identify what is being asked  

Why NCERT solutions are important?

NCERT Solutions help students understand concepts clearly and correctly. They follow the official NCERT curriculum, ensuring accuracy and reliability. These solutions build a strong mathematical foundation, improve confidence, and prepare students for school assessments and exams. Regular practice with these solutions enhances speed and accuracy.

Complete answer key – NCERT solutions

Let us think

1. Find the numbers represented by the shapes so that the multiplication equals 60.  
a) 12 × 5 = 60  
b) 6 × 10 = 60  
c) 4 × 15 = 60  
d) 4 × 15 = 60  
e) 2 × 30 = 60  
f) 1 × 60 = 60 

2. Arrange the digits 2, 5, and 3 to form numbers whose product is close to 100.  
1) 53 × 2 = 106  
2) 32 × 3 = 96 

3. Count rows and columns in each arrangement and multiply to find total pouches.  
1) 30 × 2 = 60  
2) 20 × 3 = 60  
3) 15 × 4 = 60  
4) 12 × 5 = 60   

4. Use the clues to identify the two-digit number.  
18 

5. Use any two numbers from the grid and one operation to make numbers from 0–20.  
Explanation – student-generated activity  
Sample Answer 1: 0 = 2 − 2, 5 = 10 ÷ 2  
Sample Answer 2: 3 = 12 ÷ 4, 9 = 3 × 3 

Order of numbers in multiplication  

a) 2 × 3 = 6, 3 × 2 = 6  
b) 8 × 5 = 40, 5 × 8 = 40  
c) 6 × 13 = 78, 13 × 6 = 78  
d) 12 × 9 = 108, 9 × 12 = 108  
e) 10 × 5 = 50, 5 × 10 = 50  
f) 8 × 20 = 160, 20 × 8 = 160  
g) 12 × 9 = 108, 9 × 12 = 108  

Patterns in multiplication by 10s and 100s  

a) 4 × 10 = 40  
b) 20 × 10 = 200  
c) 10 × 40 = 400  
d) 10 × 10 = 100  
e) 20 × 50 = 1000  
f) 80 × 10 = 800  
g) 3 × 100 = 100 × 3 = 300  
h) 8 × 100 = 100 × 8 = 800  
i) 10 × 100 = 100 × 10 = 1000 

Place value multiplication  

10 × 45 = 450  
30 × 20 = 600  
400 × 10 = 4000  
700 × 8 = 5600  
100 × 90 = 9000  

60 × 50 = 3000  
220 × 20 = 4400  
11 × 300 = 3300  

80 × 90 = 7200  
10 × 63 = 630  
40 × 12 = 480  

Multiplication by 1000  

2 × 1000 = 2000  
5 × 1000 = 5000  
10 × 1000 = 10000  
20 × 1000 = 20000  

3 × 5000 = 15000  
8 × 3000 = 24000  
5 × 7000 = 35000  

20 × 100 = 2000  
40 × 500 = 20000  
60 × 300 = 18000  
600 × 30 = 18000  
80 × 900 = 72000  
70 × 600 = 42000  
5 × 7000 = 35000

Many ways to multiply  

18 × 5 = 90  
Yes, all methods are correct because each uses a different strategy but gives the same answer, 90. 

Doubling and halving  

22 × 5 = 110  
3 × 18 = 54  
14 × 3 = 42  
38 × 5 = 190  
16 × 4 = 64  
35 × 14 = 490   

Find the product by halving and doubling  

1) 5 × 18 = 90  
2) 50 × 28 = 1400  
3) 15 × 22 = 330  
4) 25 × 12 = 300  
5) 12 × 45 = 540  
6) 16 × 45 = 720  

Examples of halving and doubling  

1) 5 × 18 = 90  
2) 25 × 16 = 400  
3) 50 × 24 = 1200  
4) 15 × 8 = 120  
5) 12 × 25 = 300  

Nearest multiple  

4 × 19 = 76  
14 × 21 = 294  

Examples  

7 × 49 = 343  
6 × 21 = 126 

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