CBSE Class 10 Mathematics Real Numbers Worksheet Set C

Access the latest CBSE Class 10 Mathematics Real Numbers Worksheet Set C. We have provided free printable Class 10 Mathematics worksheets in PDF format, specifically designed for Chapter 1 Real Numbers. These practice sets are prepared by expert teachers following the 2025-26 syllabus and exam patterns issued by CBSE, NCERT, and KVS.

Chapter 1 Real Numbers Mathematics Practice Worksheet for Class 10

Students should use these Class 10 Mathematics chapter-wise worksheets for daily practice to improve their conceptual understanding. This detailed test papers include important questions and solutions for Chapter 1 Real Numbers, to help you prepare for school tests and final examination. Regular practice of these Class 10 Mathematics questions will help improve your problem-solving speed and exam accuracy for the 2026 session.

Download Class 10 Mathematics Chapter 1 Real Numbers Worksheet PDF

 

REAL NUMBERS
 
SECTION A: 
 
1. If two positive integers a and b are written as a= x3y2 and b = xy3,where x ,y are prime numbers, then find the HCF of a and b.
 
• xy2
 
2. State the product of the HCF and LCM of the smallest prime number and the smallest composite number
 
• 8
 
3. Write the decimal expansion of the rational number 33/ 22 x 5.
 
• 1.65
 
SECTION B:
 
4. Express 3825 as the product of its prime factors.
 
• 32x52x17
 
5. The product of two numbers is 2500 and their HCF is 20, what is the LCM?
 
• 125
 
6. Can two numbers have 18 as their HCF and 380 as their LCM? Justify your answer
 
• no
 
7. Show that 3 +5√2 is an irrational number.
 
SECTION C: 
 
8. Using Euclid’s division algorithm find the HCF of 426 and 576.
 
• 6
 
9. Find the HCF and LCM of 270, 405 and 315 USING Fundamental theorem of Arithmetic.
 
• 5670
 
10. Find the smallest number which when increased by 17 is exactly divisible by
 
• 520 and 468.
 
• 4663
 
11. Show that p2 will leave remainder 1 when divided by 8 if p is an odd positive integer
 
SECTION D:
 
12. If the HCF of 408 and 1032 is expressible in the form 1032m - 408 x 5, find m.
 
• 2
 
13. Find the greatest 6 digit number which is exactly divisible by 24,15 and 36.
 
• 999720
 
14. What is the sum of the digits of the smallest number, which leaves remainder 2 upon being divided by 10,15 and 25?
 
• 8
 
15. ATUL, RAVI and TARUN go for a morning walk. The step off together and their steps measure 40cm, 42cm and 45cm respectively.
 
a) What is the minimum distance each should walk so that each can cover the same distance in complete steps?
 
b) How is morning useful?
 
• 2520

 

Please click on below link to download CBSE Class 10 Mathematics Real Numbers Worksheet Set C

Chapter 1 Real Numbers CBSE Class 10 Mathematics Worksheet

Students can use the Chapter 1 Real Numbers practice sheet provided above to prepare for their upcoming school tests. This solved questions and answers follow the latest CBSE syllabus for Class 10 Mathematics. You can easily download the PDF format and solve these questions every day to improve your marks. Our expert teachers have made these from the most important topics that are always asked in your exams to help you get more marks in exams.

NCERT Based Questions and Solutions for Chapter 1 Real Numbers

Our expert team has used the official NCERT book for Class 10 Mathematics to create this practice material for students. After solving the questions our teachers have also suggested to study the NCERT solutions  which will help you to understand the best way to solve problems in Mathematics. You can get all this study material for free on studiestoday.com.

Extra Practice for Mathematics

To get the best results in Class 10, students should try the Mathematics MCQ Test for this chapter. We have also provided printable assignments for Class 10 Mathematics on our website. Regular practice will help you feel more confident and get higher marks in CBSE examinations.

Where can I download the latest PDF for CBSE Class 10 Mathematics Real Numbers Worksheet Set C?

You can download the teacher-verified PDF for CBSE Class 10 Mathematics Real Numbers Worksheet Set C from StudiesToday.com. These practice sheets for Class 10 Mathematics are designed as per the latest CBSE academic session.

Are these Mathematics Class 10 worksheets based on the 2026 competency-based pattern?

Yes, our CBSE Class 10 Mathematics Real Numbers Worksheet Set C includes a variety of questions like Case-based studies, Assertion-Reasoning, and MCQs as per the 50% competency-based weightage in the latest curriculum for Class 10.

Do you provide solved answers for CBSE Class 10 Mathematics Real Numbers Worksheet Set C?

Yes, we have provided detailed solutions for CBSE Class 10 Mathematics Real Numbers Worksheet Set C to help Class 10 and follow the official CBSE marking scheme.

How does solving CBSE Class 10 Mathematics Real Numbers Worksheet Set C help in exam preparation?

Daily practice with these Mathematics worksheets helps in identifying understanding gaps. It also improves question solving speed and ensures that Class 10 students get more marks in CBSE exams.

Is there any charge for the Class 10 Mathematics practice test papers?

All our Class 10 Mathematics practice test papers and worksheets are available for free download in mobile-friendly PDF format. You can access CBSE Class 10 Mathematics Real Numbers Worksheet Set C without any registration.