Read and download the Class 10 Mathematics All Chapters Test Paper Solved. Designed for 2026-27, this advanced study material provides Class 10 Mathematics students with detailed revision notes, sure-shot questions, and detailed answers. Prepared by expert teachers and they follow the latest CBSE, NCERT, and KVS guidelines to ensure you get best scores.
Advanced Study Material for Class 10 Mathematics All Chapters
To achieve a high score in Mathematics, students must go beyond standard textbooks. This Class 10 All Chapters study material includes conceptual summaries and solved practice questions to improve you understanding.
Class 10 Mathematics All Chapters Notes and Questions
1. REAL NUMBERS
1. What is the least number that is divisible by all the numbers from 1 to 10?
2. Complete the following factor tree and find the composite number x and y .
3. Write the decimal representation of the rational number 8/27.
4. If HCF of a and b is 12 and product of these numbers is 1800. Then what is LCM of these numbers?
5. 5. If a is an odd number, b is not divisible by 3 and LCM of a and b is P, what is the LCM of 3a and 2b?
6. A rational number in its decimal expansion is 1.7351. What can you say about the prime factors of q when this number is expressed in the form p/q? Give reason.
7. Find LCM of numbers whose prime factorisation are expressible as 3 × 52 and 32 × 72.
8. Find the LCM of 96 and 360 by using fundamental theorem of arithmetic.
9. The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number.
10. Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. 198 and 144.
11. If two positive integers x and y are expressible in terms of primes as x = p2q3 and y = p3q, what can you say about their LCM and HCF. Is LCM a multiple of HCF? Explain.
12. Find the largest number which divides 70 and 125 leaving remainder 5 and 8 respectively.
13. In a school, there are two Sections A and B of class X. There are 48 students in Section A and 60 students in Section B. Determine the least number of books required for the library of the school so that the books can be distributed equally among all students of each Section.
14. If n is an odd positive integer, show that (n2 – 1) is divisible by 8.
15. Prove that √7 is an irrational number
16. Find the largest number that will divide 398, 436 and 542 leaving remainders 7, 11, and 15 respectively.
17. Using prime factorisation method, find the HCF and LCM of 30, 72 and 432. Also show that HCF × LCM ≠ Product of the three numbers.
18. Amita, Sneha, and Raghav start preparing cards for all persons of an old age home. In order to complete one card, they take 10, 16 and 20 minutes respectively. If all of them started together, after what time will they start preparing a new card together?
19. Dudhnath has two vessels containing 720 ml and 405 ml of milk respectively. Milk from these containers is poured into glasses of equal capacity to their brim. Find the minimum number of glasses that can be filled.
20. There are 104 students in class X and 96 students in class IX in a school. In a house examination, the students are to be evenly seated in parallel rows such that no two adjacent rows are of the same class.
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CBSE Class 10 Mathematics All Chapters Study Material
Students can find all the important study material for All Chapters on this page. This collection includes detailed notes, Mind Maps for quick revision, and Sure Shot Questions that will come in your CBSE exams. This material has been strictly prepared on the latest 2026 syllabus for Class 10 Mathematics. Our expert teachers always suggest you to use these tools daily to make your learning easier and faster.
All Chapters Expert Notes & Solved Exam Questions
Our teachers have used the latest official NCERT book for Class 10 Mathematics to prepare these study material. We have included previous year examination questions and also step-by-step solutions to help you understand the marking scheme too. After reading the above chapter notes and solved questions also solve the practice problems and then compare your work with our NCERT solutions for Class 10 Mathematics.
Complete Revision for Mathematics
To get the best marks in your Class 10 exams you should use Mathematics Sample Papers along with these chapter notes. Daily practicing with our online MCQ Tests for All Chapters will also help you improve your speed and accuracy. All the study material provided on studiestoday.com is free and updated regularly to help Class 10 students stay ahead in their studies and feel confident during their school tests.
The latest 2026-27 advanced study resources for Class 10 Mathematics are available for free on StudiesToday.com which includes NCERT Exemplars, high-order thinking skills (HOTS) questions, and deep-dive concept summaries.
Our exhaustive Class 10 Mathematics package includes chapter wise revision notes, solved practice sheets, important formulas and Concept Maps to help in better understanding of all topics.
Yes. For Class 10, our resources have been developed to help you get better marks in CBSE school exams and also build fundamental strength needed for entrance tests including Competency Based learning.
in Class 10, students should use Active Recall method, read the concept summary, then solve the Important Questions section without looking at the answers and then check your answers.
All CBSE Mathematics study materials are provided in mobile-friendly PDF. You can download and save them on your device.
Yes, our team has ensured that all Mathematics materials for Class 10 are strictly aligned with the National Education Policy (NEP) 2020 and the latest 2026-27 CBSE syllabus.