Read and download the CBSE Class 10 Mathematics Number Systems Assignment Set B for the 2025-26 academic session. We have provided comprehensive Class 10 Mathematics school assignments that have important solved questions and answers for Number System. These resources have been carefuly prepared by expert teachers as per the latest NCERT, CBSE, and KVS syllabus guidelines.
Solved Assignment for Class 10 Mathematics Number System
Practicing these Class 10 Mathematics problems daily is must to improve your conceptual understanding and score better marks in school examinations. These printable assignments are a perfect assessment tool for Number System, covering both basic and advanced level questions to help you get more marks in exams.
Number System Class 10 Solved Questions and Answers
Number System MCQ Questions with Answers Class 10
More question-
1. If the H C F of 657 and 963 is expressible in the form of 657x + 963x - 15 find x.
(Ans:x=22)
Ans: Using Euclid’s Division Lemma
a= bq+r , o ≤ r < b
963=657×1+306
657=306×2+45
306=45×6+36
45=36×1+9
36=9×4+0
HCF (657, 963) = 9
now 9 = 657x + 963× (-15)
657x=9+963×15
=9+14445
657x=14454
x=14454/657
x=22
2. Express the GCD of 48 and 18 as a linear combination. (Ans: Not unique)
A=bq+r, where o ≤ r < b
48=18x2+12
18=12x1+6
12=6x2+0
HCF (18,48) = 6
now 6= 18-12x1
6= 18-(48-18x2)
6= 18-48x1+18x2
6= 18x3-48x1
6= 18x3+48x(-1)
i.e. 6= 18x +48y
=18(3+48)+48(-1-18)
=18×51+48×(-19)
6=18x+48y
Hence, x and y are not unique.
Ans:
n,n+1,n+2 be three consecutive positive integers
We know that n is of the form 3q, 3q +1, 3q + 2
So we have the following cases
Case – I when n = 3q
In the this case, n is divisible by 3 but n + 1 and n + 2 are not divisible by 3
Case - II When n = 3q + 1
Sub n = 2 = 3q +1 +2 = 3(q +1) is divisible by 3. but n and n+1 are not
divisible by 3
Sub n = 2 = 3q +1 +2 = 3(q +1) is divisible by 3. but n and n+1 are not divisible by 3
Hence one of n, n + 1 and n + 2 is divisible by 3
4. Find the largest possible positive integer that will divide 398, 436, and 542 leaving remainder 7, 11, 15 respectively.
(Ans: 17)
Ans: The required number is the HCF of the numbers
Find the HCF of 391, 425 and 527 by Euclid’s algorithm
HCF (425, 391) = 17
Now we have to find the HCF of 17 and 527
527 = 17 X 31 +0
Important Practice Resources for Class 10 Mathematics
CBSE Class 10 Mathematics Number System Assignment
Access the latest Number System assignments designed as per the current CBSE syllabus for Class 10. We have included all question types, including MCQs, short answer questions, and long-form problems relating to Number System. You can easily download these assignments in PDF format for free. Our expert teachers have carefully looked at previous year exam patterns and have made sure that these questions help you prepare properly for your upcoming school tests.
Benefits of solving Assignments for Number System
Practicing these Class 10 Mathematics assignments has many advantages for you:
- Better Exam Scores: Regular practice will help you to understand Number System properly and you will be able to answer exam questions correctly.
- Latest Exam Pattern: All questions are aligned as per the latest CBSE sample papers and marking schemes.
- Huge Variety of Questions: These Number System sets include Case Studies, objective questions, and various descriptive problems with answers.
- Time Management: Solving these Number System test papers daily will improve your speed and accuracy.
How to solve Mathematics Number System Assignments effectively?
- Read the Chapter First: Start with the NCERT book for Class 10 Mathematics before attempting the assignment.
- Self-Assessment: Try solving the Number System questions by yourself and then check the solutions provided by us.
- Use Supporting Material: Refer to our Revision Notes and Class 10 worksheets if you get stuck on any topic.
- Track Mistakes: Maintain a notebook for tricky concepts and revise them using our online MCQ tests.
Best Practices for Class 10 Mathematics Preparation
For the best results, solve one assignment for Number System on daily basis. Using a timer while practicing will further improve your problem-solving skills and prepare you for the actual CBSE exam.
You can download free PDF assignments for Class 10 Mathematics Chapter Number System from StudiesToday.com. These practice sheets have been updated for the 2025-26 session covering all concepts from latest NCERT textbook.
Yes, our teachers have given solutions for all questions in the Class 10 Mathematics Chapter Number System assignments. This will help you to understand step-by-step methodology to get full marks in school tests and exams.
Yes. These assignments are designed as per the latest CBSE syllabus for 2026. We have included huge variety of question formats such as MCQs, Case-study based questions and important diagram-based problems found in Chapter Number System.
Practicing topicw wise assignments will help Class 10 students understand every sub-topic of Chapter Number System. Daily practice will improve speed, accuracy and answering competency-based questions.
Yes, all printable assignments for Class 10 Mathematics Chapter Number System are available for free download in mobile-friendly PDF format.