CBSE Class 10 Maths Competency-Based Questions With Answer Key 2024-25: Chapter 8 Introduction to Trigonometry Download Free PDF

Sep 9, 2024, 09:28 IST

CBSE Class 10 Maths Chapter 8 Practice Questions 2025: The Central Board of Secondary Education (CBSE) has made available the Class 10 Maths Chapter 8 Introduction to Trigonometry competency-based practice questions along with answer key for 2024-25.

Download CBSE Class 10 Maths Chapter 8 Introduction to Trigonometry Competency-Focused Practice Questions.
Download CBSE Class 10 Maths Chapter 8 Introduction to Trigonometry Competency-Focused Practice Questions.

CBSE 2024-25 Competency Based Questions With Answers: With an aim to test understanding of students and remove gaps in the learning process, the Central Board of Secondary Education (CBSE) has made available the competency-focused practice questions for students of class 10. These are important for the students as they will be appearing in the 2025 Board examination. The competency-focused assessments contain- free response questions, multiple choice questions and more. In this article we have given the CBSE Class 10 Maths Chapter 8 Introduction to Trigonometry competency-focused questions along with the answer key. 

What are Competency-Focused Practice Questions?

Competency-focused practice questions are high quality questions that are important for learning. 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 questions are designed specifically to test conceptual understanding and application of concepts. 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

Download Volume 3 and 4 of CBSE Class 10 Maths Chapter 8 Introduction to Trigonometry

This article contains the direct links to download the volume 3 and 4 for Introduction to Trigonometry class 10 competency based questions. Students can check the questions from volume 4 below and download questions from volume 3 also so that you are able to practice more. 

CBSE Class 10 Maths Chapter 8 Competency Based-Questions 

Multiple Choice Questions

Q:1 In a right-angled triangle, there is an acute angle p such that tan p = 12/5.

What is the value of sec (90° - p )?

1 5/13

2 5/12

3 12/13

4 13/12

Q:2 Two statements are given below - one labelled Assertion (A) and the other labelled Reason (R). Read the statements carefully and choose the option that correctly describes statements (A) and (R).

Assertion (A) : The value of tan 20° = tan60°/3 = √3/3.

Reason (R) : For an acute angle θ, tan ( 1/3 θ) = 1/3 tan θ.

1 Both (A) and (R) are true and (R) is the correct explanation for (A). 

2 Both (A) and (R) are true but (R) is not the correct explanation for (A). 

3 (A) is false and (R) is true. 

4 Both (A) and (R) are false.

Case-Based Questions

Study the given information and answer the questions that follow. 

Shown below is the rough figure of the side view of a proposed water slide which has to be constructed in a water park.

(Note: The figure is not to scale.) 

(Take √2 = 1.4, √3 = 1.7, wherever required.)

Q:3 What should be the measure of the angle between slide 2 and ground if the length of AB is 1.2√3 m?

1 30° 

2 45° 

3 60° 

4 90°

Q:4 What should be the value of tan AGB if the length of slide 2 is 6 m? 

1 4/3 

2 4/5 

3 3/4

4 ⅗

Q:5 If slide 1 makes an angle of 150° with the flat part and FD = 8.5 m, what is the height of the top point of slide 1 from the ground (EC)?

1 5 m 

2 8.6 m 

3 10 m 

4 12.1 m

Q:6 What should be the length of slide 2 if the angle between slide 2 and ground is 30°?

1 4.24 m 

2 5.04 m 

3 6.12 m 

4 7.2 m

Q:7 If ∠GAB = ∠EFD and ∠AGB = ∠FED, which of these is equal to sec ∠GAB?

1 cos ∠EFD

 2 cos ∠AGB 

3 cosec ∠FED 

4 cosec ∠EFD

Free Response Questions

Q:8 Consider the statement given below. 

In a right triangle, the value of cos A = √2 for some acute angle A. 

Is the statement true or false? Give a valid reason.

Q:9 Shown below is a right-angled ΔPQR.

(Note: The figure is not to scale.) 

What is measure of ∠QPR? Show your work.

Q:10 Prove that:

(1 + tan x + sec x ) 2 = 2(1 + sec x )(sec x + tan x )

Now that you have gone through the questions, download volume 3 and 4 of CBSE Class 10 Mathematics Chapter 8 Introduction to Trigonometry competency-based practice questions from the links below. 

CBSE Class 10 Maths Chapter 8 Introduction to Trigonometry Competency Based Practice Questions 2024-25 With Answers Volume 3 Download PDF
CBSE Class 10 Maths Chapter 8 Introduction to Trigonometry 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 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.

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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