Chapter 4 Quadratic Equations Free Download

CBSE 2024-25 Competency Based Questions with Answers: Assessment is an important tool for measuring learning progress. It provides feedback on what students have actually understood of what they have learned. The Central Board of Secondary Education (CBSE) has introduced competency-based assessment in the classroom to reform the curriculum and pedagogical methods.

CBSE has made available skill-based practice questions for class 10 students. This article covers the skill-based questions of CBSE Class 10 Maths Chapter 4 Quadratic Equations in PDF format. Along with the questions from Band 4, you can check out more multiple choice and free response questions for practice for Band 2.

These competency based questions are specially designed to test conceptual understanding and application of concepts. The competency based booklets have been published by CBSE on cbseacademic.nic.in. By solving these questions, students can get an idea about what competency based questions are.

Students need to practice as many questions as possible. This will help them in the exam. The skill-based questions aim to give students skills that will help them in the future and discourage them from memorizing.

Read on to download the Class 10 Quadratic Equations Skill Based Questions for 2024-25. Class 10 Quadratic Equations practice questions from both volumes have been provided in the form of PDFs that you can easily save and download.

CBSE Class 10 Mathematics Chapter 4 Competency Based Questions

Questions with free answers Q:1 In the following figure, two concentric circles have the center O. Their radii are R and (R + 6) cm respectively. (Note: The illustration is not to scale.) Determine the lengths of the chords AB and CD. Show your work.

Q:2 Vitthal went on a long bike ride from his home to a nearby mountain and back. The ride to the mountain started with a 40 km flat road and then a 25 km uphill climb. When driving uphill, his average speed decreased by 10 km/h compared to the flat road, resulting in an additional half hour of driving time. However, on the flat road, he maintained the same average speed in both directions. i) Find the time taken by Vitthal to reach the end of the 65 km uphill stretch. ii) If it took him 2 1/2 hours to get home from the mountain, find his average speed on the way down. Show your work.

Case study Study the information provided and answer the following questions. Bangalore Municipal Corporation is building parks in residential areas across the city. Below is one such park. The rectangular park consists of various elements like a walkway, a children’s playground, an open gym, a pond, etc.

Q:3 Gate 3 was placed exactly opposite Gate 1 on the border of the park. The distance between Gate 3 and Gate 2 is 1 m greater than the distance between Gate 3 and Gate 2. The shortest distance between Gate 1 and Gate 2 is 29 m. Find the width of the park. Show your work.

Q:4 The park ranger is trying to plant seedlings in the shape of a square. That is, the number of rows of seedlings is equal to the number of columns of seedlings. When arranging the seedlings, he found that he had 24 seedlings left. When he increased the number of rows and columns by 1, he found that he was missing 25 seedlings. Find out the number of seedlings he has at his disposal. Show your work.

Q:5 The municipality plans to install a rectangular sand table as shown below for the children in the play area. The carpenter is requested to design a rectangular table whose length is three times its width and whose area is 108 m². (Note: The image is not to scale.) Determine whether such a table can be created. Show your steps.

After going through the questions, download the skill based practice questions of CBSE Maths Class 10 Chapter 4 Quadratic Equations Volume 2 and 4 from the links given below.

Tips to prepare for CBSE Class 10 Mathematics exam

1.Mathematics is a subject that requires regular practice. It is important that students practice as much as possible.

2.Students should create an effective study plan and allocate time to all topics based on their strengths and weaknesses. The schedule should also allow time for review of the material.

3.Students should solve the problems from ICSE Class 10 textbook to clarify the concepts and strengthen their understanding. While solving the problems, students should make it a habit to show their designs clearly which will also help them in the examination.

4.Solve a set of previous years’ exam questions and take mock tests to get insights about the type and difficulty level of questions. Solving these questions will help in increasing the speed of the students. This will help you check your preparation level. Look out for the questions that are asked repeatedly every year.