NCERT Solutions for Class 5 Mathematics Maths Mela (English) Chapter 6

NCERT solutions for Class 5 Maths Chapter The Dairy Farm – complete answers & explanations

This blog provides complete NCERT solutions for Class 5 Maths Chapter The Dairy Farm. This chapter helps students understand multiplication in different ways using real-life situations like arranging butter packets and solving number puzzles. It is important for building strong calculation skills and logical thinking. All answers in this blog are strictly based on the worksheet provided, ensuring accuracy and reliability for students.

What this NCERT chapter covers?

1. Understanding multiplication using patterns and real-life examples  
2. Finding numbers using clues and logical reasoning  
3. Arranging objects and calculating totals using rows and columns  
4. Learning multiplication properties like order of numbers  
5. Multiplying numbers by 10, 100, and 1000  
6. Exploring different strategies like doubling and halving  
7. Solving word problems related to daily life situations  

How to use these NCERT solutions?

1. First, try solving all the questions from the worksheet on your own  
2. Then, use these solutions to check your answers step by step  
3. Carefully compare your method with the given answers  
4. Parents and teachers can guide students in understanding mistakes  
5. Follow the solutions in the exact order as given in the worksheet  

Important tips & tricks for students

1. Always read the question carefully before solving  
2. Practice multiplication tables regularly for better speed  
3. Use patterns and strategies like doubling and halving  
4. Do not skip steps while solving problems  
5. For activity-based questions, focus on understanding the concept  

NCERT solutions – complete answer key

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-  
This activity is about forming numbers using given numbers and operations. Some numbers can be made, while others may not be possible. A number can also be formed in more than one way.

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

1. Multiply the numbers by 10 or 100.

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  

Multiply each pair and write the product in the correct place-value columns (Th, H, T, O).

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  

Let us fill in the table and observe the patterns.

2 × 1,000 = 2000  
5 × 1,000 = 5000  
10 × 1,000 = 10000  
20 × 1,000 = 20000  
3 × 5,000 = 15000  
8 × 3,000 = 24000  
5 × 7,000 = 35000  

20 × 100 = 2000  
40 × 500 = 20000  
60 × 300 = 18000  
600 × 30 = 18000  
80 × 900 = 72000  
70 × 600 = 42000  
5 × 7,000 = 35000  

Many ways to multiply

Find the product of 18 × 5 using different methods.

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

Doubling and halving

a) 3 × 18 = 54  
  6 × 9 = 54  

b) 22 × 5 = 110  

c) 14 × 3 = 42  
  38 × 5 = 190  
  16 × 4 = 64  
  35 × 14 = 490  

d) Find the product by halving and doubling either number.

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

e) Give 5 multiplication examples using halving and doubling, and find their products.

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

Nearest multiple

a) 4 × 19 = 76  
b) 14 × 21 = 294  

c) Write 5 examples where the nearest multiple can be used.

1) 7 × 49 = 343  
2) 6 × 21 = 126  

Why NCERT solutions help students?

NCERT solutions help students prepare effectively for exams by providing accurate and structured answers. They improve concept clarity, especially in topics like multiplication strategies and patterns. Following NCERT-based answers builds confidence and ensures students understand the correct method of solving problems.

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