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Monday, 2 October 2023

COMPETENCY BASED QUESTIONS - CLASS X ( MATHEMATICS )



WITH THE LINK , YOU CAN DOWNLOAD THE COMPETENCY BASED QUESTIONS FOR CLASS X - MATHEMATICS PREPARED BY KVS - AHMEDABAD REGION.

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Competency-Based Questions for Class 10 Maths

Understanding Competency-Based Questions:

Competency-based questions are designed to assess a student's ability to apply their knowledge and skills in real-world situations. These questions often involve higher-order thinking skills such as analysis, critical thinking, and problem-solving.

Here are some examples of competency-based questions for Class 10 Maths:

Real-world Problem Solving:

  1. A farmer has a rectangular field of dimensions 20 m × 15 m. He wants to fence it with three rounds of wire. Find the total length of wire required.
  2. A man invested a certain sum of money in two schemes - one at 10% per annum simple interest and the other at 8% per annum compound interest. At the end of two years, he received Rs. 2,080 as total interest. Find the sum invested in each scheme.
  3. A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

Data Interpretation and Analysis:

  1. Given a set of data on the heights of students in a class, calculate the mean, median, and mode. Interpret the results and draw conclusions.
  2. Analyze a given frequency distribution table and construct a histogram. Calculate the mean, median, and mode from the histogram.
  3. A pie chart represents the expenditure of a family on different items. Analyze the chart and answer questions related to the percentage expenditure on each item.

Proof and Reasoning:

  1. Prove that the opposite sides of a parallelogram are equal.
  2. Prove that the diagonals of a rhombus bisect each other at right angles.
  3. Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Application of Concepts:

  1. A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall.
  2. A solid metallic sphere of radius 4.2 cm is melted and recast into a cone of height 8.4 cm. Find the radius of the base of the cone.
  3. A circular park of radius 20 m is situated in a colony. Three boys Ankur, Syed, and David are sitting at equal distance on its boundary. Find the distance between each pair of boys.

Remember, the key to solving competency-based questions is to:

  • Understand the concepts thoroughly.
  • Practice regularly.
  • Apply your knowledge to real-world situations.
  • Think critically and logically.

By practicing these types of questions, students can develop the skills necessary to excel in mathematics and other subjects.

Utility of Competency-Based Questions in Class 10 Maths

Competency-based questions (CBQs) have gained significant importance in recent years, particularly in the context of Class 10 Mathematics. These questions assess a student's ability to apply mathematical concepts to real-world situations and solve problems creatively. Here are some key utilities of CBQs in Class 10 Maths:

1. Deeper Understanding of Concepts

  • Beyond Rote Learning: CBQs encourage students to think critically and analyze problems from multiple perspectives.
  • Application of Knowledge: These questions require students to apply their knowledge to unfamiliar situations, fostering a deeper understanding of concepts.

2. Enhanced Problem-Solving Skills

  • Complex Problem Solving: CBQs often involve multi-step problem-solving, requiring students to break down complex problems into smaller, manageable steps.
  • Creative Thinking: These questions promote creative thinking and innovative approaches to problem-solving.

3. Improved Reasoning and Logical Thinking

  • Analytical Skills: CBQs necessitate logical reasoning and analytical skills to identify patterns, make inferences, and draw conclusions.
  • Critical Thinking: Students are encouraged to evaluate different approaches and justify their solutions.

4. Real-World Application

  • Practical Relevance: CBQs often involve real-world scenarios, making mathematics more relevant and engaging.
  • Practical Skills: These questions help students develop practical skills that can be applied in various fields.

5. Effective Assessment

  • Comprehensive Evaluation: CBQs provide a comprehensive assessment of a student's mathematical abilities, beyond just rote memorization.
  • Identification of Learning Gaps: By analyzing students' responses to CBQs, teachers can identify specific learning gaps and provide targeted support.

6. Preparation for Higher Education and Careers

  • Future Readiness: CBQs align with the demands of higher education and professional careers, where problem-solving and critical thinking are highly valued.
  • Competitive Exams: Many competitive exams, such as JEE and NEET, include similar types of questions, making CBQs excellent preparation for these exams.

By incorporating CBQs into their learning, Class 10 students can develop a strong foundation in mathematics, which will benefit them throughout their academic and professional lives.


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