Daily Practice Problems
ICSE 9 Maths
Rational and Irrational Numbers
daily practice problem

Question 1:

Are the following statements true or false? Give reasons for your answers.

(i) Every whole number is a natural number.

(ii) Every whole number is a rational number.

(iii) Every integer is a rational number.

(iv) Every rational number is a whole number.

 

Question 2:

Prove that  is irrational.

 

Question 3:

Insert a rational and an irrational number between 5 and 6.

 

Question 4:

Insert two rational and two irrational numbers between  and .

 

Question 5:

If  ,find the value of

 

Question 6:

Find the values of `a’ and `b’:

 

 

Question 7:

Simplify: +

 

Question 8:

Rationalize the denominator:

 

 

Question 9:

If a=  and b=,find  and

 

Question 10:

Arrange ,, in the ascending order.

 

Question 11:

Arrange  in the descending order.

 

Question 12:

Which of the following is greater?

  and 5

 

Question 13:

Find the square of:

 

 

Question 14:

Prove that  is irrational

 

Question 15:

Find the least rationalizing factor of:

3

 

Question 16:

Rationalize the denominator of .

 

Question 17:

State true or false:

Negative of an irrational number is rational.

 

Question 18:

Show that m is rational, if .

 

Question 19:

Find the lowest rationalizing factor of:

3

 

Question 20:

Find the value of m:

 .

**********

Problem-solving on ICSE 9 Maths Rational and Irrational 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 ICSE 9 Maths Rational and Irrational 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 ICSE 9 Maths Rational and Irrational 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 Rational and Irrational Numbers ICSE 9 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 Rational and Irrational Numbers ICSE 9 Maths Notes on LearnoHub.com
  6. Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Rational and Irrational 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 Rational and Irrational Numbers ICSE 9 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 Rational and Irrational Numbers ICSE 9 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 ICSE 9 Maths Rational and Irrational 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 ICSE 9 Maths Rational and Irrational Numbers NCERT Chapter 1 useful.

Last but not least, to get the best hold on ICSE 9 Maths Rational and Irrational Numbers NCERT Chapter 1, do not forget to check out:

  • Rational and Irrational Numbers ICSE 9 Maths Best videos
  • Rational and Irrational Numbers ICSE 9 Maths NCERT Solutions
  • ICSE 9 Maths Rational and Irrational Numbers Revision notes
  • Rational and Irrational Numbers ICSE 9 Maths DPPs, Download PDF of solutions
  • ICSE 9 Maths Rational and Irrational Numbers Online Tests
  • ICSE 9 Maths Sample papers

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