CBSE 2024-25 Competency Based Questions With Answers: The Central Board of Secondary Education (CBSE) is a national level education body. It has released the competency-based practice questions for students of classes 10 and 12. Students can download them from the school section of Jagran Josh. Here we have given the CBSE Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables competency-focused questions in pdf format.
The practice questions will be of great help to the students from the point of examinations. It will help cultivate the much needed skills of analysis, critical thinking and problem solving in students. These competency‐based questions are designed specifically to test conceptual understanding and application of concepts. Students can also use it to understand different kinds of questions and practice specific concepts and competencies.
Continue reading to download the Pair of Linear Equations in Two Variables Class 10 Competency Based Questions for 2024-25. You can download the pdfs for volumes 3 and 4 for Pair of Linear Equations in Two Variables Class 10 Practice Questions from the direct links provided at the end of this article.
CBSE Class 10 Maths Chapter 3 Competency Based-Questions
| Free Response Questions Q:1 Anjali solved the following equations for the value of x. (i) 5 x - 2 y = 4 (ii) 3 x - y = 8 Her solution is given below. Step 1: Multiplied equation (ii) by 2 on both sides. 6 x - 2 y = 16.............(iii) Step 2: Solved equations (i) and (iii) to get x = (-20).
Anjali made a mistake while solving this. What was her mistake? Also, find the correct value of x. |
| Q:2 State true or false for the below statement and justify your answer A pair of linear equations represented by intersecting lines can have two solutions. |
| Q:3 A pair of linear equations is shown below. ( k - 1) x + y = k + 1 ( k 2 - 1) x + ( k + 1) y = 1 - k 2 If k > 1, then how many solutions does this pair of equations have? |
| Q:4 The equations of the lines l 1 ,l 2 , and l 3 are given by 5x + 3y = 2p ,35x + 21y = pq , and 100x + 4qy = 240, respectively, where p and q are real numbers. (i) For what values of p and q does the line l 3 coincide with l 1 ? Show your steps. (ii) For the values of p and q found in question (i), are the lines l 1 and l 2 parallel? Justify your answer. |
| Q:5 Shown below is a parallelogram with ∠ABC = 70°.
(Note: The figure is not to scale.) Find the values of x and y. Show your steps. |
| Q:6 Anisha lives 15 km away from her school. She walks to the bus stop and takes a bus to school everyday. If she goes to the nearest bus stop, she needs to walk for 3 km and cover the rest by bus. This takes her 1.5 hours. If she walks to a bus stop further away, she needs to walk for 5 km and cover the rest by bus. This takes her 2 hours. Frame equations and solve them to find the average speed Anisha walks at, as well as the average speed of the bus. Show your steps. |
Now that you have gone through the questions, download volume 3 and 4 of CBSE Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables competency-focused practice questions from the links given below. There are multiple choice questions and free response questions as well.
| CBSE Class 10 Maths Chapter 2 Pair of Linear Equations in Two Variables Competency Based Practice Questions 2024-25 With Answers Volume 3 | Download PDF |
| CBSE Class 10 Maths Chapter 2 Pair of Linear Equations in Two Variables Competency Based Practice Questions 2024-25 With Answers Volume 4 | Download PDF |
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
NCERT Rationalised Syllabus Class 10: List of Chapters & Topics Deleted from Books
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