Preparing for the CAT exam without a background in mathematics is definitely possible, although it may require some additional effort and dedication. Here's a detailed plan on how to approach your CAT preparation:

1. Assess your Current Level:
- Start by evaluating your current mathematical skills and knowledge. Take a diagnostic test or solve previous years' CAT papers to identify your strengths and weaknesses.
- This will help you gauge the amount of effort you need to put in and which areas require more attention.

2. Understand the CAT Syllabus:
- Familiarize yourself with the CAT syllabus, which includes topics like arithmetic, algebra, geometry, number system, and data interpretation.
- Break down the syllabus into smaller subtopics to create a study plan that covers all the essential concepts.

3. Strengthen your Foundation:
- Begin by revisiting the basics of mathematics. Focus on understanding fundamental concepts and formulas.
- Utilize online resources or reference books to enhance your understanding of arithmetic, algebra, and geometry.
- Practice solving problems from different topics to reinforce your understanding.

4. Create a Study Schedule:
- Design a study schedule that accommodates your daily commitments and allocates sufficient time for CAT preparation.
- Dedicate a specific number of hours each day to studying mathematics. Aim for at least 2-3 hours initially and gradually increase it as you become more comfortable with the subject.

5. Utilize Quality Study Material:
- Choose reliable study material that covers the entire CAT syllabus comprehensively.
- Recommended books for CAT mathematics include "How to Prepare for Quantitative Aptitude for CAT" by Arun Sharma and "Quantitative Aptitude for Competitive Examinations" by R.S. Aggarwal.
- Apart from books, you can also refer to online resources such as EduRev's CAT section, which offers a wide range of study material and practice questions.

6. Practice Regularly:
- Practice is key to improving your mathematical skills. Solve a variety of problems, ranging from easy to difficult, to ensure a well-rounded preparation.
- Solve previous years' CAT papers and take mock tests regularly to familiarize yourself with the exam pattern and time management.

7. Seek Help and Clarification:
- If you encounter any difficulties or have doubts, don't hesitate to seek help from teachers, mentors, or online forums.
- Joining a coaching institute or finding a study group with like-minded individuals can also provide additional support and motivation.

Remember, consistency and perseverance are crucial for success in the CAT exam. With diligent preparation and a structured approach, you can overcome the challenges posed by your non-mathematics background and achieve your desired score.