Question 1: Express each number as a 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 × 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 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 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 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?
Testimonials
An Excellent Math Teacher
Sunil Sir has been an excellent math teacher for Saiba. His teaching methods are highly informative, engaging, and motivational which have greatly strengthened Saiba’s understanding of maths concepts. He consistently provides support beyond the classroom and has played an important role in improving Saiba’s problem-solving skills and preparation for math competitions. His dedication and professionalism make him an outstanding educator. Saiba is thankful for his continued support and positive influence.
– Saiba’s Parents (USA)
Amazing Math Coach
Sunil is an amazing math coach! My son Rishi loves to learn from him. He makes learning fun and engages Rishi. Sunil is also very patient with kids and understands my son’s learning methods and teaches accordingly with positive reinforcement. Very thankful to him!
– Rishi’s Parents (USA)
Unique, Patient and Good Mentor
Sunil sir has a unique way of explaining complex concepts, making them simple and understandable. You are very patient and always encourages me to ask queries as many times until the concept is clearer. You are a great person besides being a good mentor and always in a light mood and never gets frustrated for anything. My grades have immensely improved and I am much more confident in maths now.
Also, your videos on Mathemafia youtube channel are very informative.
– Lakshay (USA)
Class 10 – Mathematics – NCERT Solutions
- Real Numbers
- Polynomials
- Pair of Linear Equation in Two Variables
- Quadratic Equations
- Arithmetic Progressions
- Triangles
- Exercise 6.1
- Exercise 6.2
- Exercise 6.3
- Coordinate Geometry
- Introduction to Trigonometry
- Some Applications of Trigonometry
- Exercise 9.1
- Circles
- Areas Related to Circles
- Surface Areas and Volumes
- Exercise 12.1
- Exercise 12.2
- Statistics
- Exercise 13.1
- Exercise 13.2
- Exercise 13.3
- Probability
Super Cool Stuff
- Calculators
- Quadratic Equation Calculator – Solve any Equation
- Super Concepts
