CBSE Class 10 Maths Chapter 1 Practice Questions 2025: CBSE has made available the competencybased practice questions for students of class 10. Check and download the questions for CBSE Class 10 Maths Chapter 1 Real Numbers.
CBSE 202425 Competency Based Questions With Answers: To ensure that students are learning with understanding, the Central Board of Secondary Education (CBSE) has created and released the competencybased practice questions for various subjects covered in class 10. These have been released for the academic session 202425. These assessment questions are critical to the learning of students. In this article we have covered the CBSE Class 10 Maths Chapter 1 Real Numbers competencybased questions.
Assessments prove to be of great help in providing feedback about what students have actually understood. The competencybased assessments were introduced as a means to reform curriculum and pedagogical methodologies. They emphasize on the development of higher order skills such as analysis, critical thinking and problem solving.
For class 10 Mathematics, the questions have been released for all the chapters in different volumes. Students can download the pdfs for volumes 3 and 4 from the direct links given in this article. These include the practice questions as well as the answers.
CBSE Class 10 Maths Chapter 1 Competency BasedQuestions
Q:1 Nidaa performed the division of 53/83 on a calculator whose result is shown below. Even though the quotient has more digits, the calculator didn't display it all due to the limited display area.
Is the output of the division rational or irrational? Explain your answer. 
Q:2 2 n is not divisible by 6 where n is a positive integer. Is the above statement true or false? If true, give a valid reason and if false, give an example. 
Q:3 The prime factorisation of a natural number k is (3 × 5 × p ) where p ≠ 2. What is the prime factorisation of 10 k 2 ? 
Q:4 In the figure below, the inner circles are filled with the prime factors of the numbers given in the outer circles. Each number from 126 corresponds to the letter in its position in the alphabet, AZ. For instance, 1 is A, 2 is B, and so on.
Starting clockwise from *, find the word formed by the numbers in the inner circle. Show your work. 
Q:5 For a positive integer n ,m is a prime factor of n . Show that m is not a factor of ( n + 1). 
Q:6 A rectangular arrangement of pens has rows and columns. Rohan takes away 3 rows of pens and then Sarah takes away 2 columns of pens from the remaining pens. The remaining pens are rearranged in p rows and q columns where p is a prime number. If Rohan takes 24 pens and Sarah takes 18 pens, find all possible value(s) of p . Show your work. 
Case Study Answer the following questions based on the information given. Sakshara International School organised a combined exhibition for grade 10 students of its three branches. 345 students from Mumbai branch, 405 students from Pune branch and 270 students from Nagpur branch participated in it. The following were planned for the exhibition:

Q:7 Use Euclid's Division Algorithm to find the number of different groups for the group projects. Show your work. 
Q:8 A maths teacher asked his students to solve the below puzzle regarding the individual project. The number of students who got the same topic can be represented as (2 n × 5) where n is a positive integer having the maximum possible value. Find n and the number of topics allotted. Show your work. 
Q:9 Mumbai branch divided the students selected for interstate model making competition into the groups of 12 students, Pune into the groups of 10 students and Nagpur into the groups of 15 students. i) How many students were selected from each branch? ii) How many models were submitted by individual branches and all the branches together? Show your work. 
To download the volumes of CBSE Class 10 Mathematics Chapter 1 Real Numbers competencybased assessment questions, students can refer to the links given below. They can check the questions and the answer key. Use these free response questions and multiple choice questions for practice.
CBSE Class 10 Maths Chapter 1 Real Numbers Competency Based Practice Questions 202425 With Answers Volume 3  Download PDF 
CBSE Class 10 Maths Chapter 1 Real Numbers Competency Based Practice Questions 202425 With Answers Volume 4  Download 
Tips to Prepare for CBSE Class 10 Mathematics Examination
1.Students must first familiarize themselves with the syllabus so as to understand which topics carry more weightage.
2.Mathematics is a subject that demands regular practice. It is important that students practice as much as they can.
3.Students should prepare an effective study plan and give time to all topics on the basis of their strengths and weaknesses. The schedule should also have time for revision.
4.Students should solve the problems from CBSE Class 10 subject textbook to clear the concepts and strengthen understanding. While solving problems, students should make it a habit to show rough work clearly which will help them in the examination as well.
5.Solve a number of previous year question papers and give mock tests to get insights into the type and level of difficulty of questions. Solving these will help to increase the speed of students. to check your level of preparedness. Pay attention to the questions that are repeatedly asked every year.
CBSE Video Courses for Class 10 Students
Class 10 students can study effectively for the exams with the help of video courses prepared by the subject matter experts. These video courses will explain the concepts in a simple and interactive manner which will help learners to understand clearly. Refer to the link below:
CBSE Class 10 Video Courses
Also, check
CBSE Class 10 Syllabus 202425: Download Latest and Revised FREE PDFs
NCERT Books for Class 10 All Subjects PDF (202425)
Related
CBSE Class 10 Maths MCQs: Important for 20242025 Exams, Download ChapterWise PDF
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