CBSE Class 10 Maths Competency-Based Questions With Answer Key 2024-25: Chapter 6 Triangles Free PDF Download

CBSE Class 10 Maths Chapter 6 Practice Questions 2025: Students check and download the CBSE Class 10 Chapter 6 Triangles competency-focused practice questions along with answer key for 2024-25. 

Sep 10, 2024, 09:26 IST
CBSE Class 10 Maths Chapter 6 Triangles Competency-Based Practice Questions for 2024-25.
CBSE Class 10 Maths Chapter 6 Triangles Competency-Based Practice Questions for 2024-25.

CBSE 2024-25 Competency Based Questions With Answers: The Central Board of Secondary Education (CBSE) has designed and released the competency‐focused practice questions for students of classes 10 and 12. Students can practice questions ranging from multiple choice questions to case studies. CBSE has made available the practice questions on its website, cbse.academic.nic.in. This article covers the CBSE Class 10 Maths Chapter 6 Triangles competency-focused questions. 

These assessments contain high quality questions and concepts that are important for learning. When students will solve the competency-based questions, they will engage in learning by doing. The questions are designed to test the understanding of students and remove any gaps that may exist in the learning process. Competency-based practice questions follow the principle of learning with understanding. 

Also Check: CBSE Class 10 Maths Chapter-Wise Competency-Based Questions With Answer Key 2024-25: Free PDF Download

In this article we have provided the direct links to download the volume 2 and 4 for Triangles class 10 competency based questions. Students can check the questions from volume 4 below and download questions from volume 2 as well to practice more.

CBSE Class 10 Maths Chapter 6 Competency Based-Questions 

Free Response Questions

Q:1 Give an example each for when two rectangles are:

i) similar. 

ii) not similar.

Q:2 A painted cuboid, Solid P, is cut along a plane to get two identical solids. One of the identical solids, Solid Q, is shown below.

 (Note: The figures are not to scale.) 

What is the area of the face of Solid Q that is not painted? Show your work.

Q:3 Shown below is an isosceles right-angled ΔPQR. The area of ΔPQR is 18 cm2.

(Note: The figure is not to scale.) 

Find the length of PR. Show your work.

Q:4 Shown below is a figure. ΔPQR is a right-angled triangle. There are 3 semicircles with diameters as sides of ΔPQR. All length measurements are in cm.

(Note: The figure is not to scale.) 

Show that the sum of the areas of semicircles with diameters PQ and QR is equal to the area of semicircle with diameter PR.

Q:5 Shown below is a figure with two rectangles. The ratio of UV:VW = QR:RS = 3:4. Area of TUVW is 36 cm2.

(Note: The figure is not to scale.) 

What is the area of the shaded region? Show your work. 

Q:6 i) Two chords of a circle, PQ and MN intersect at a point T. Show that PT × TQ = MT × TN. Draw a figure.

ii) Shown below is a circle with centre O. Use the result from part i) to find the length of ZY. Show your work. 

Q:7 In the figure below, P, Q and R are collinear. P and Q are centres of the two circles. P lies on the circumference of the circle with centre Q. R is 10 cm from Q and 15 cm from P. Both circles have 2 common tangents from point R. 


(Note: The figure is not to scale.) 

Find the radius of circle P. Draw a rough figure and show your steps. 

Case-Based Questions

Answer the questions based on the given information.

The rectangular playing top of a pool table is 220 cm long and 110 cm wide. It has 4 pockets in the corners. When a ball hits a side of the table, it bounces off the side at the same angle as it hit that side. There are two kinds of balls - a white cue ball and 15 numbered coloured balls. The cue ball must be used hit a numbered ball into one of the pockets. Shown below is a pool table.

Q:8 Tanmay had hit a numbered ball into pocket P. The path followed by the cue ball and ball 8 is shown below. The cue ball's initial distance from the edges of the table is marked in the figure.

(Note: The figure is not to scale.) 

What is the distance of the cue ball from pocket S when the ball hits side RS? Draw a diagram and show your work.

Q:9 Shown below is the path when Tanmay hits a ball number 1 in pocket S. The distance CT is 50 cm and TS is 120 cm. The cue ball hits the side PQ at an angle of 45°.

(Note: The figure is not to scale.) 

Find the distance between the cue ball's initial position and pocket S. Draw a rough figure, show your work and give valid reasons.

 Now that you have gone through the questions, download volume 2 and 4 of CBSE Class 10 Mathematics Chapter 6 Triangles competency-based practice questions from the links below. 

CBSE Class 10 Maths Chapter 6 Triangles Competency Based Practice Questions 2024-25 With Answers Volume 2 Download PDF
CBSE Class 10 Maths Chapter 6 Triangles Competency Based Practice Questions 2024-25 With Answers Volume 4 Download PDF

Tips to Prepare for CBSE Class 10 Mathematics Examination

1.Students must first familiarize themselves with the syllabus so as to understand which topics carry more weightage. Ensure that you prepare according to the latest syllabus only. 

2.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. 

3.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. 

4.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. 

5.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. 

Garima Jha
Garima Jha

Content Writer

    Garima is a graduate in English from the University of Delhi and post-graduate in English Journalism from the Indian Institute of Mass Communication. She is a content writer with around 3 years of experience and has previously worked with Inshorts. She finds solace in the world of books and art. At Jagranjosh.com, Garima creates content related to the school section.

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