Introduction:
Problem-solving skills in mathematics are crucial for students in Class 12 humanities as it helps in developing logical thinking, analytical abilities, and decision-making skills. By following certain strategies and techniques, students can improve their problem-solving skills in mathematics.

1. Understand the Problem:
The first step in solving any problem is to understand it thoroughly. Read the problem statement carefully and identify the given information, required output, and any constraints or conditions mentioned.

2. Break Down the Problem:
Break down the problem into smaller parts or steps. Identify any patterns or relationships within the problem that can help in solving it more easily. This will help in organizing your thoughts and approaching the problem systematically.

3. Practice Regularly:
Regular practice is essential to improve problem-solving skills in mathematics. Solve a variety of problems from different topics and difficulty levels. This will expose you to different problem-solving techniques and help in building your problem-solving abilities.

4. Develop a Problem-Solving Strategy:
Developing a problem-solving strategy can make the process more structured and efficient. Some common problem-solving strategies include working backward, making a table or chart, drawing a diagram or graph, using logical reasoning, etc. Choose the strategy that suits the given problem and practice applying it.

5. Seek Help and Collaboration:
Don't hesitate to seek help from your teacher, classmates, or online resources like EduRev. Discussing problems with others can provide different perspectives and insights. Collaborating with peers for problem-solving can also enhance your understanding and learning.

6. Analyze and Reflect:
After solving a problem, analyze your approach and solution. Reflect on the strategies used and identify any mistakes or areas for improvement. This self-reflection will help in refining your problem-solving skills and avoiding similar errors in the future.

7. Use Real-Life Applications:
Relate mathematical concepts and problems to real-life situations. This will help in understanding the practical significance and application of mathematics. Solving real-life problems can enhance your problem-solving skills and make the learning process more engaging.

8. Test Yourself:
Regularly test yourself by attempting mock tests, sample papers, or previous year question papers. This will not only improve your problem-solving speed but also familiarize you with the exam pattern and types of questions.

Conclusion:
Improving problem-solving skills in mathematics requires consistent practice, a systematic approach, and a willingness to seek help and learn from mistakes. By following the strategies mentioned above and dedicating sufficient time and effort, students can enhance their problem-solving abilities and excel in mathematics.