Daily Practice Problems
Class 10 Maths
Real Numbers
daily practice problem

Question 1:

HCF and LCM of two numbers is 9 and 459 respectively. If one of the numbers is 27, find the other number.

 

Question 2:

Find LCM of numbers whose prime factorisation are expressible as 3 * 52 and 32 * 72.

 

Question 3:

Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer.

 

Question 4:

Find the largest number which divides 70 and 125 leaving remainder 5 and 8 respectively.

 

Question 5:

Find the HCF of the numbers 196 and 38220 using Euclid’s division algorithm.

 

Question 6:

Find the prime factorisation of the denominator of rational number expressed as 6.12 in simplest form.

 

Question 7:

Prove that √5 is irrational number.

 

Question 8:

Show that 3√7 is an irrational number.

 

Question 9:

Prove that 3 + 2√2 is an irrational number, given that √2 is an irrational number.

 

Question 10:

Three alarm clocks ring at intervals of 4, 12 and 20 minutes respectively. If they start ringing together, after how much time will they next ring together?

 

Question 11:

What is the smallest number which is exactly divisible by 40, 50 and 60?

 

Question 12:

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?

 

Question 13:

Express 429 as a product of its prime factors.

 

Question 14:

If HCF of 408 and 1032 is expressible in the form of 1032 * 2 + 408 * p, then find the value of p.

 

Question 15:

The HCF of 65 and 117 is expressible in the form 65p - 117. Find the value of p. Also find the LCM and HCF of 65 and 117 using prime factorisation method.

 

Question 16:

If p = HCF(8, 12) and q = LCM(8, 12), then find p2q.

 

Question 17:

Find the LCM and HCF of the integers 510 and 92 and verify that LCM * HCF = product of the two numbers.

 

Question 18:

The decimal expansion of the rational number    will terminate after how many places of decimals?

 

Question 19:

Has the rational number    terminating?

 

Question 20:

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 ? Give reason.

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Problem-solving on Class 10 Maths Real Numbers NCERT Chapter 1 after learning a theoretical concept is crucial for several reasons:

  1. Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic Class 10 Maths Real Numbers you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
  2. Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in Class 10 Maths Real Numbers NCERT Chapter 1, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
  3. Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
  4. Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Real Numbers Class 10 Maths in practical scenarios helps you remember them better than passive reading or memorization.
  5. Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Real Numbers Class 10 Maths Notes on LearnoHub.com
  6. Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Real Numbers. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
  7. Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Real Numbers Class 10 Maths Online Tests at LearnoHub.com.
  8. Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
  9. Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
  10. Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Real Numbers Class 10 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on Class 10 Maths Real Numbers NCERT Chapter 1

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 10 Maths Real Numbers NCERT Chapter 1 useful.

Last but not least, to get the best hold on Class 10 Maths Real Numbers NCERT Chapter 1, do not forget to check out:

  • Real Numbers Class 10 Maths Best videos
  • Real Numbers Class 10 Maths NCERT Solutions
  • Class 10 Maths Real Numbers Revision notes
  • Real Numbers Class 10 Maths DPPs, Download PDF of solutions
  • Class 10 Maths Real Numbers Online Tests
  • Class 10 Maths Sample papers

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