Daily Practice Problems
ICSE 10 Maths
Circles
daily practice problem

Question 1:

In the given figure, AB = AC = CD and ADC = 38°. Calculate ABC. [Level: Easy]

 

Question 2:

A chord of length 6 cm is drawn in a circle of radius 5 cm. Calculate its distance from the centre of the circle. [Level: Moderate]

 

Question 3:

The radius of a circle is 17 cm and the length of perpendicular drawn from its centre to a chord is 8 cm. Calculate the length of the chord. [Level: Moderate]

 

Question 4:

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact. [Level: Moderate]

 

Question 5:

Find the distance between two parallel tangents of a circle of radius 0.5 m. [Level: Moderate]

 

 

Question 6:

O is the centre of a circle of radius 10 cm. P is any point in the circle such that OP = 6 cm. A is the point travelling along the circumference. x is the distance from A to P. what are the least and the greatest values of x in cm? what is the position of the points O, P and A at these values? [Level: Easy]

 

Question 7:

A chord CD of a circle whose centre is O, is bisected at P by a diameter AB. Given OA = OB = 15 cm and OP = 9 cm. Calculate the length of CD. [Level: Moderate]

 

Question 8:

Prove that the parallelogram circumscribing a circle is a rhombus. [Level: Difficult]

 

Question 9:

A chord of a circle of radius 10 cm subtends a right angle at its centre. Calculate the length of the chord. [Level: Difficult]

 

Question 10:

In the given figure, ABCD is a cyclic quadrilateral. If BAC = 50° and DBC = 60° then find BCD.  [Level: Moderate]

 

Question 11:

The figure shows two concentric circles and AD is a chord of larger circle. Prove that AB = CD [Level: Difficult]

Question 12:

The line joining the mid-points of two chords of a circle passes through its centre. Prove that the chords are parallel. [Level: Moderate]

 

Question 13:

In the figure, given below, find BCD. [Level: Moderate]

Question 14:

In the following figure, O is centre of the circle and ∆ABC is equilateral.

Find: (i) ADB, (ii) AEB. [Level: Difficult]

 

Question 15:

In the figure, given below, find ADC. [Level: Easy]

 

Question 16:

In the figure given below, AB and CD are straight lines through the centre O of a circle. If AOC = 80° and CDE = 40°, Find DCE.  [Level: Moderate]

 

Question 17:

In the given figure, RS is a diameter of the circle. NM is parallel to RS and MRS = 29°. Calculate RNM. [Level: Easy]

 

Question 18:

In the figure, O is the centre of the circle, AOE = 150°, DAO = 51°. Calculate the sizes of the angles CEB and OCE. [Level: Moderate]

 

 

 

Question 19:

In the given figure, O is the centre of the circle and ABC = 55°. Calculate the values of x and y. [Level: Easy]

 

Question 20:

Calculate the angles x, y and z if:  . [Level: Moderate]

**********

 

Problem-solving on ICSE 10 Maths Circles NCERT Chapter 17 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 Circles 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 Circles NCERT Chapter 17, 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 Circles 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 Circles 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 Circles. 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 Circles 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 Circles 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 Circles NCERT Chapter 17

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 Circles NCERT Chapter 17 useful.

Last but not least, to get the best hold on ICSE 10 Maths Circles NCERT Chapter 17, do not forget to check out:

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

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