Access the latest CBSE Class 10 Mathematics Real Numbers And Polynomials Worksheet. 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
Question. HCF of 8, 9, 25 is
a) 8
b) 9
c) 25
d) 1
Answer : D
Question. The product of a rational and irrational number is
a) Rational
b) Irrational
c) both of above
d) none of above
Answer : B
Question. If the LCM of a and 18 is 36 and the HCF of a and 18 is 2, then a = ?
a) 2
b) 3
c) 4
d) 1
Answer : C
Question. The ratio between the LCM and HCF of 5, 15, 20 is:
a) 9 : 1
b) 4 : 3
c) 11 : 1
d) 12 : 1
Answer : D
Question. If HCF (16, y) = 8 and LCM (16, y) = 48, then the value of y is
a) 24
b) 16
c) 8
d) 48
Answer : A
Question. The product of a non-zero number and an irrational number is:
a) always irrational
b) always rational
c) rational or irrational
d) one
Answer : A
Question. If HCF (26, 169) = 13, then LCM (26, 169) is …
a) 26
b) 52
c) 338
d) 13
Answer : C
Question. L.C.M. of 23 × 32 and 22 × 33 is :
a) 23
b) 33
c) 23 × 33
d) 22 × 32
Answer : C
Question. The number ‘π’ is
a) natural number
b) rational number
c) irrational number
d) rational or irrational
Answer : C
Question. If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is
a) 4
b) 2
c) 1
d) 3
Answer : B
Question. Express 98 as a product of its primes
a) 22 × 7
b) 22 × 72
c) 2 × 72
d) 23 × 7
Answer : C
Very Short Answer type Questions
Question. Find the greatest number of four digits which is exactly divisible by 15, 24 and 36.
Answer : 9720
Question. Find the HCF and LCM of 108, 120 and 252 using prime factorisation method.
Answer : HCF(108, 120, 252) = 12, LCM(108, 120, 252) = 7560.
Question. Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM.
Answer : 96 = 25 × 3, 404 = 22 × 101, LCM (96, 404) = 9696
Question. Find the greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm and 12 m 95 cm.
Answer : 35 cm
Question. Find the LCM and HCF of the pair of integers 336 and 54 and verify that LCM × HCF = product of the two numbers.
Answer : 22338
Question. Find the least number which when divided by 35, 56 and 91 leaves the same remainder 7 in each case.
Answer : 3647
Question. Find the HCF and LCM of 612 and 1314 using prime factorisation method.
Answer : HCF(612, 1314) = 18, LCM(612, 1314) = 44676
Question. Find the largest number which divides 245 and 1037, leaving remainder 5 in each case.
Answer : 24
Question. Consider the numbers 4n, where n is a natural number. Check whether there is any value of n for which 4n ends with the digit zero.
Answer : There is no natural number n for which 4n ends with the digit zero.
Question. Find the smallest number which when divided by 28 and 32 leaves remainders 8 and 12 respectively.
Answer : 204
Question. Find the least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3
Answer : 23
Question. Find the HCF and LCM of 6, 72 and 120, using the prime factorisation method.
Answer : HCF (6, 72, 120) = 6, LCM (6, 72, 120) = 360
Question. Three measuring rods are 64 cm, 80 cm and 96 cm in length. Find the least length of cloth that can be measured an exact number of times, using any of the rods.
Answer : 9.6 m
Please click on below link to download CBSE Class 10 Mathematics Real Numbers And Polynomials Worksheet
| CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A |
| CBSE Class 10 Maths Probabilty Worksheet |
Important Practice Resources for Class 10 Mathematics
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.
You can download the CBSE Practice worksheets for Class 10 Mathematics Chapter 1 Real Numbers for the latest session from StudiesToday.com
Yes, the Practice worksheets issued for Chapter 1 Real Numbers Class 10 Mathematics have been made available here for the latest academic session
There is no charge for the Practice worksheets for Class 10 CBSE Mathematics Chapter 1 Real Numbers you can download everything free
Regular revision of practice worksheets given on studiestoday for Class 10 subject Mathematics Chapter 1 Real Numbers can help you to score better marks in exams
Yes, studiestoday.com provides all the latest Class 10 Mathematics Chapter 1 Real Numbers test practice sheets with answers based on the latest books for the current academic session