Daily Practice Problems
Class 7 Maths
Rational Numbers
daily practice problem

Question 1:

Find three rational numbers equivalent to each of the following rational numbers.

(a)

(b)

 

Question 2:

Express  as a rational number with

(i) denominator = 32

(ii) denominator = -40

 

Question 3:

Find x such that  and  are equivalent rational numbers.

 

Question 4:

Which of the two rational numbers  and  is greater?

 

Question 5:

List five rational number between -4 and -3.

 

Question 6:

Express  in standard form.

 

Question 7:

Arrange the rational numbers , ,  in ascending order:

 

Question 8:

Write True or False:

(i) The negative of 0 does not exist.

(ii) 1 is the only number which is its own reciprocal.

 

Question 9:

Express each of the following rational numbers as the sum of an integer and a rational number.

(i)                     (ii)

 

Question 10:

Fill in the blanks:

(i)  =    = ?  =

(ii)  =  =

 

Question 11:

Find the sum of (  +   + )

 

Question 12:

The sum of two rational numbers is -5. If one of the number is . Find the other.

 

Question 13:

Subtract  from

 

Question 14:

By what number should we multiply , so that the product may be .

 

Question 15:

Verify the property x X y = y X x of rational numbers using

(a) x =7 and y =

(b) x =  and y =

 

Question 16:

By what number should -4  be divided to obtain -3  ?

 

Question 17:

Find the cost of 3  m of cloth at ₹ 121  per metre

 

Question 18:

Which is smaller between  and ?

 

Question 19:

Express each of the following numbers in standard form:

(i)                               (ii)

 

Question 20:

State whether the given statement is true or false:

(i) Zero is the smallest rational number.

(ii) Every integer is a rational number.

(iii) Every rational number is a fraction.

**********

Problem-solving on Class 7 Maths Rational Numbers NCERT Chapter 9 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 7 Maths Rational 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 7 Maths Rational Numbers NCERT Chapter 9, 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 Numbers Class 7 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 Numbers Class 7 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 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 Numbers Class 7 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 Numbers Class 7 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 7 Maths Rational Numbers NCERT Chapter 9

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 7 Maths Rational Numbers NCERT Chapter 9 useful.

Last but not least, to get the best hold on Class 7 Maths Rational Numbers NCERT Chapter 9, do not forget to check out:

  • Rational Numbers Class 7 Maths Best videos
  • Rational Numbers Class 7 Maths NCERT Solutions
  • Class 7 Maths Rational Numbers Revision notes
  • Rational Numbers Class 7 Maths DPPs, Download PDF of solutions
  • Class 7 Maths Rational Numbers Online Tests
  • Class 7 Maths Sample papers

Classes

  • Class 4
  • Class 5
  • Class 6
  • Class 7
  • Class 8
  • Class 9
  • Class 10
  • Class 11
  • Class 12
  • ICSE 6
  • ICSE 7
  • ICSE 8
  • ICSE 9
  • ICSE 10
  • NEET
  • JEE

YouTube Channels

  • LearnoHub Class 11,12
  • LearnoHub Class 9,10
  • LearnoHub Class 6,7,8
  • LearnoHub Facts
  • LearnoHub Kids

Overview

  • FAQs
  • Privacy Policy
  • Terms & Conditions
  • About Us
  • NGO School
  • Contribute
  • Jobs @ LearnoHub
  • Success Stories
© Learnohub 2025.