CBSE 2024-25 Competency Based Questions With Answers: Competency-based assessments are an essential means to reform the curriculum. With the vision that every student learns with understanding, the Central Board of Secondary Education (CBSE) has released the competency-focused practice questions for students of class 10. The competency-based practice questions are a resource hub containing multiple choice, free response, case studies and more. In this article we have covered the CBSE Class 10 Mathematics Chapter 10 Circles competency-focused questions and answers.
What are Competency-Focused Practice Questions?
Competency-focused practice questions are high quality questions designed specifically to test conceptual understanding and application of concepts. They have been created keeping in mind the learning outcomes that are important for students to understand and master. The notion behind designing these assessments is to develop higher order skills such as analysis, critical thinking and problem solving in students. The competency-based practice questions have been created in accordance with the NCERT curriculum.
Also Check: CBSE Class 10 Maths Chapter-Wise Competency-Based Questions With Answer Key 2024-25: Free PDF Download
Continue reading to download the questions from volume 4 of Chapter 10 Circles. You can also download questions from volume 3 for extra practice.
CBSE Class 10 Maths Chapter 10 Competency Based-Questions
| Free Response Questions Q:1 Shown below is a circle O inscribed in a trapezium such that PQ || RS. The radius of the circle is 6 cm.
(Note: The figure is not to scale.) What is the height of the trapezium? Show your work and give valid reasons. |
| Q:2 Shown below is a circle with 3 tangents at points N, O and R. QN = PO = x units and ΔQMP is an equilateral triangle.
(Note: The figure is not to scale.) Express the length MN in terms of x. Show your work. |
| Q:3 In the figure below, PQ and PR are tangents to the circle.
(Note: The figure is not to scale.) Find the perimeter of ΔSQP. Show your work. |
| Q:4 Shown below is a circle with centre A. CD, CB and FE are tangents to the circle. ∠DCF = 60° and ∠EFC = 75°.
(Note: The figure is not to scale.) Find the measure of ∠DAE. Show your work and give valid reasons. |
| Q:5 Shown below is a circle with centre O. PQ is tangent to the circle at Q.
(Note: The figure is not to scale.) What is the length of tangent PQ? Show your work and give valid reasons. |
| Q:6 Shown below are two circles with centres A and B. The circle with centre A has a radius of 5 cm. AC is a tangent to circle with centre B. FED is a straight line.
(Note: The figure is not to scale.) What is the length of chord DE? Show your work and give valid reasons. |
| Q:7 In the figure below, PR and QR are tangents to a circle with centre O, at points P and Q. Two semicircles are drawn on tangents PR and QR. Each semicircle has an area of π square units. Quadrant POQ has an area of 2π square units.
(Note: The figure is not to scale.) Find the area of the shaded region. Show your work and give valid reasons. |
| Q:8 Shown below is a circle with 3 tangents KQ, KP and LM.
(Note: The figure is not to scale.) If PM:KL = 1:2, find the measure of ∠LMK. Show your steps. |
| Case Study Answer the questions based on the given information. The game of carrom is played on a square board with a pocket in each corner. They are played using small disks of wood or plastic known as carrom coins. A larger and heavier disk called a striker is used to push these coins across the board to the pockets. The positions of striker and a few coins at different instances in a game are shown in the figure:
P, R and S denote different positions of the striker. Q, T and U denote different positions of the coins. O is the centre of the carrom board. The points P, Q and R do not lie on a straight line. The line PQ touches the circular part of the carrom board only at Q. |
| Q:9 The striker at P is 18 cm from the centre and ∠OPQ = 30°. Find the distance between the striker at P and the coin at Q. Show your work and give valid reasons. |
| Q:10 Can QR be a tangent to the circle at Q? Give a valid reason. |
| Q:11 SU and ST are tangents to the circle at U and T respectively and ∠UQT = 55°. Find ∠UST. Show your work and give valid reasons. |
Now that you have gone through the questions, download volume 3 and 4 of CBSE Class 10 Mathematics Chapter 10 Circles competency-based practice questions from the links below.
| CBSE Class 10 Maths Chapter 10 Circles Competency Based Practice Questions 2024-25 With Answers Volume 3 | Download PDF |
| CBSE Class 10 Maths Chapter 10 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 and 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)
CBSE Class 10 Maths Mind Maps for Quick Revision
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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