CBSE 2024-25 Competency Based Questions With Answers: Keeping in mind the learning outcomes that are important for students to understand and master, the Central Board of Secondary Education (CBSE) has created the competency-focused practice questions for students of class 10. The questions have been designed for major subjects like Mathematics, Social Science and Science.
The competency-based practice questions for the academic session 2024-25 are available on cbseacademic.nic.in. We have given the CBSE Class 10 Mathematics Chapter 11 Areas Related to Circles competency-focused questions and answers here. The assessments are a mix of multiple choice questions and free response questions. The questions are aligned to the NCERT curriculum.
Also Check: CBSE Class 10 Maths Chapter-Wise Competency-Based Questions With Answer Key 2024-25: Free PDF Download
What are Competency-Based Practice Questions?
Competency-focused practice questions are questions designed specifically to test conceptual understanding and application of concepts. They aim to encourage students to practice learning by doing. The idea behind designing the competency-based questions is to develop higher order skills such as analysis, critical thinking and problem solving in students.
In this article students can check and download the competency-based questions from volume 4. You can also download questions given in volume 3 for the purpose of extra practice.
CBSE Class 10 Maths Chapter 11 Competency Based-Questions
| Free Response Questions Q:1 Rohan got the question below in his school test. "A 7 cm chord of a circle subtends an angle of 60° at the centre. Find the area of the major sector." After the test, he went to the teacher and said, "The question cannot be answered as it doesn't mention the radius of the circle". Is Rohan right or wrong? Give a valid reason for your answer. |
| Q:2 Shown below is a figure such that each circle is divided into equal sectors by 4 straight lines. The combined area of the shaded region is 77 square units.
What is the radius of the largest circle? Show your work. (Note: Take pi as 22/7.) |
| Q:3 A chord of length 2√2 cm subtends an angle of 90° at the centre of a circle.Find the area of the minor sector in terms of π. Show your work. |
| Q:4 Shown below are two concentric circles with centre O. XY is tangent to the inner circle at Z.
(Note: The figure is not to scale.) What is the area of the shaded region in terms of π? Show your work. |
| Q:5 A regular octagon of side length 4 cm is inscribed in a circle of radius 7 cm. A square is inscribed in the same circle as shown below.
(Note: The figure is not to scale.) Find the area of the shaded region. Show your work. (Note: If needed, take pi as 22/7, √3 as 1.7, √5 as 2.2.) |
| Q:6 Shown below are two circles with centres P and Q. Diameter ST is 6 cm.
(Note: The figure is not to scale.) Find the area of the shaded region. Draw a rough diagram and show your work. |
| Q:7 Shown below is a circle with centre O. PQR is an equilateral triangle of side length 12 cm.
(Note: The figure is not to scale.) Find the area of the shaded region in terms of π. Draw a rough diagram and show your work. |
| Case Study Answer the following questions using the given information. Shown below is a representation of some portion of an apartment complex. The area occupied by this portion is in the form of two identical intersecting circles whose centres are at A and B respectively. The radius of each circle is 21 metres. The intersecting area is converted into a recreational space comprising of a play zone, a garden and a swimming pool.
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| Q:8 Find the area of the play zone. Show your work. |
| Q:9 The boundary of the recreational space is installed with some landscape lighting that costs is Rs 2500 per metre. How much did it cost to install the lighting along the boundary? Show your work with valid reasons. |
| Q:10 If the area of the recreational space is 842 m2 , find the area of the residential space in the apartment. Show your work. |
Now that you have gone through the questions, download volume 3 and 4 of CBSE Class 10 Mathematics Chapter 11 Areas Related to Circles competency-based practice questions from the links below.
| CBSE Class 10 Maths Chapter 11 Areas Related to Circles Competency Based Practice Questions 2024-25 With Answers Volume 3 | Download PDF |
| CBSE Class 10 Maths Chapter 11 Areas Related to Circles Competency Based Practice Questions 2024-25 With Answers Volume 4 | Download PDF |
Tips to Prepare for CBSE Class 10 Mathematics Examination
1. Mathematics is a subject that demands regular practice. It is important that students practice as much as they can. Practice the questions given at the end of each chapter. Note the points where you get stuck during solving questions.
2. Students should prepare an effective study plan and give time to all topics on the basis of their strengths and weaknesses. Don’t let your bias towards your favourite chapter affect the time-table. The schedule should also have time for revision.
3. Students should solve the problems from CBSE Class 10 subject textbook to clear the concepts and strengthen understanding. While solving problems, students should make it a habit to show rough work clearly which will help them in the examination as well.
4. Solve a number of previous year question papers and give mock tests to get insights into the type and level of difficulty of questions. Solving these will help to increase the speed of students. to check your level of preparedness. Pay attention to the questions that are repeatedly asked every year.
CBSE Video Courses for Class 10 Students
Class 10 students can study effectively for the exams with the help of video courses prepared by the subject matter experts. These video courses will explain the concepts in a simple and interactive manner which will help learners to understand clearly.
Also, check
CBSE Class 10 Syllabus 2024-25: Download Latest and Revised FREE PDFs
NCERT Books for Class 10 All Subjects PDF (2024-25)
NCERT Solutions for Class 10 (2024-2025) All Subjects & Chapters: Download in PDF
CBSE Class 10 Maths MCQs: Important for 2024-2025 Exams, Download Chapter-Wise PDF
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