Mathematician

For 10th: Pass in 10th grade.
For 12th: Pass in 12th grade with Mathematics and Physics/Chemistry as core subjects.

Entrance exams may vary by institution and country. Some places may require specific tests related to mathematics or mathematical sciences programs.

Undergraduate: Bachelor of Science (B.Sc) in Mathematics (3 years)
Post Graduate: Master of Science (M.Sc) in Mathematics (2 years)
Ph.D.: Doctor of Philosophy (Ph.D.) in Mathematics for advanced research and academic careers.

Research institutions: Conducting theoretical and applied research in pure and applied mathematics.
Academic institutions: Teaching mathematics and mentoring students at schools, colleges, and universities.
Government agencies: Providing mathematical expertise in fields such as defense, finance, and policy analysis.
Financial sector: Analyzing risk, pricing models, and developing algorithms for investment strategies.
Technology and engineering: Developing algorithms, simulations, and optimization techniques for software and engineering solutions.
Data science and analytics: Applying mathematical techniques for data analysis, machine learning, and predictive modeling.
Consulting firms: Providing mathematical modeling and analysis for diverse industries and applications.