Daily Practice Problems
ICSE 10 Maths
Arithmetic Progression
daily practice problem

Question 1:

The 25th term of an A.P. exceeds its 9th term by 16. Find its common difference. [Level: Easy]

 

Question 2:

An A.P. consists of 60 terms. If the first and the last terms be 7 and 125 respectively, find the 31 st term. [Level: Moderate]

 

Question 3:

If the third term of an A.P. is 5 and the seventh terms is 9, find the 17th term. [Level: Moderate]

 

Question 4:

The 6th term of an A.P. is 16 and the 14th term is 32. Determine the 36th term. [Level: Moderate]

 

Question 5:

If the third and the 9th terms of an A.P. are 4 and  respectively. Find which term of this A.P will be 0. [Level: Moderate]

 

Question 6:

Find the 9th term of the geometric progression: 1, 4, 16, 64 …….. [Level: Easy]

 

Question 7:

Find the 10th term of the G.P. : 12, 4,  . . . . . . [Level: Moderate]

 

Question 8:

The sum of the first 10 terms of the A.P. is four times the sum of the first five terms, then find the ratio of first term and the common difference. [Level: Difficult]

 

Question 9:

If   and  are in A.P. Then find the value of . [Level: Difficult]

 

Question 10:

Find the sum of infinite terms of G.P. : 1 +  +  + . . . .   [Level: Moderate]

 

Question 11:

The second term of a G.P. is 9 and sum of its infinite terms is 48. Find its first three terms. [Level: Difficult]

 

Question 12:

Find the geometric progression with 4th term = 54 and 7th term = 1458. [Level: Moderate]

 

Question 13:

Find the sum of first 20 terms of an A.P. whose first term is 3 and the last term is 60. [Level: Moderate]

 

Question 14:

How many terms of the series 18 + 15 + 12 + ……. when added together will give 45 ? [Level: Difficult]

 

Question 15:

Find the seventh term of the G.P. : , . . . . .  [Level: Easy]

 

Question 16:

Second term of a geometric progression is 6 and its fifth term is 9 times of its third term. Find the geometric progression. Consider that each term of the G.P. is positive. [Level: Moderate]

 

Question 17:

Find the 5th term of the geometric progression: 2, 6, 18, 54 …….. [Level: Easy]

 

Question 18:

Find the sum of first 10 terms of the A.P: 4 + 6 + 8 + ……… [Level: Moderate]

 

Question 19:

How many three digit numbers are divisible by 7? [Level: Easy]

 

Question 20:

An A.P. consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term of the A.P. [Level: Moderate]

**********

Problem-solving on ICSE 10 Maths Arithmetic Progression NCERT Chapter 10 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 10 Maths Arithmetic Progression 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 10 Maths Arithmetic Progression NCERT Chapter 10, 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 Arithmetic Progression ICSE 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 Arithmetic Progression ICSE 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 Arithmetic Progression. 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 Arithmetic Progression ICSE 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 Arithmetic Progression ICSE 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 ICSE 10 Maths Arithmetic Progression NCERT Chapter 10

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 10 Maths Arithmetic Progression NCERT Chapter 10 useful.

Last but not least, to get the best hold on ICSE 10 Maths Arithmetic Progression NCERT Chapter 10, do not forget to check out:

  • Arithmetic Progression ICSE 10 Maths Best videos
  • Arithmetic Progression ICSE 10 Maths NCERT Solutions
  • ICSE 10 Maths Arithmetic Progression Revision notes
  • Arithmetic Progression ICSE 10 Maths DPPs, Download PDF of solutions
  • ICSE 10 Maths Arithmetic Progression Online Tests
  • ICSE 10 Maths Sample papers

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