Class 10th Maths NCERT Solutions

Class 10th Maths NCERT Solutions

Class 10th Maths Exercise 1.1 Solutions

Class 10 Maths Exercise 1.1 Solutions

Question 1:

Express each number as  product of its prime factors:

(I) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429

Question 1: Express each number as product of its prime factors: (I) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429
Question 1: Express each number as product of its prime factors: (I) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429

Question 2:

Find the LCM and HCF of the following pairs of integers and verify that LCM x HCF = Product of the two numbers. 

(i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54

Question 2: Find the LCM and HCF of the following pairs of integers and verify that LCM x HCF = Product of the two numbers.  (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54
Question 2: Find the LCM and HCF of the following pairs of integers and verify that LCM x HCF = Product of the two numbers.  (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54

Question 3:

Find the LCM and HCF of the following integers by applying the prime factorization method.

(i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25

Question 3: Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25

Question 4:

Given that HCF(306, 657) = 9, find LCM (306, 657).

Question 4: Given that HCF(306, 657) = 9, find LCM (306, 657).

Question 5:

Check whether 6n can end with the digit 0 for any natural number n.

Question 5: Check whether 6n can end with the digit 0 for any natural number n.

Question 6:

Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.

Question 6: Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.

Question 7:

There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?

Question 7: There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?

Class 10th Maths Exercise 1.2 Solutions

Question 1:

Prove that √5 is irrational.

Question 1: Prove that √5 is irrational.

Question 2:

Prove that 3+2√5 is irrational.

Prove that 3+2√5 is irrational.

Question 3:

Prove that the following are irrational.

(i) 1/√2    (ii) 7√5   (iii) 6+√5

Question 3: Prove that the following are irrational. (i) 1/√2    (ii) 7√5   (iii) 6+√5
Question 3: Prove that the following are irrational. (i) 1/√2    (ii) 7√5   (iii) 6+√5

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✅ Comprehensive Chapter-wise Solutions

Each solution is aligned with the latest CBSE curriculum and presented in a step-by-step manner. From Real Numbers to Probability, every chapter is covered with clear explanations.

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Frequently Asked Questions (FAQs)

❓ Are these solutions based on the latest CBSE syllabus?

Yes. All NCERT Class 10 Maths solutions on ShikshaClasses are updated regularly to match the latest CBSE guidelines.

❓ Can I use these solutions to prepare for board exams?

Absolutely. These solutions are board-exam oriented and help you understand how to present answers effectively.

❓ Are the solutions suitable for self-study?

Yes. They are designed to help students study independently without needing external help.

❓ Is there a download option available?

Yes. Students can easily download PDFs of NCERT Maths solutions for offline use.

❓ What if I have doubts while studying?

ShikshaClasses also provides guidance through additional learning resources and may offer interactive doubt-clearing features or expert support.

Conclusion

Class 10 Maths is a milestone in every student’s academic journey. With the right guidance and reliable study material, it becomes a lot easier to master. NCERT Solutions from ShikshaClasses.com empower students with clarity, confidence, and convenience. If you’re serious about scoring well and truly understanding mathematics, this is the perfect place to start

Class 10th Maths Exercise 1.1 Solutions

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