What you receive
- Score and accuracy
- Correct, incorrect and unanswered counts
- Topic or subject breakdown
- Strongest and weakest supported area
free · Part A previous-year diagnostic
Work through six auto-checkable CMI Part A problems
A numeric-response diagnostic plus one public Part B problem sample from the verified 2025 paper.
- Questions
- 6
- Suggested time
- 18 min
- Access
- Free
- Status
- Verified source
Start without creating an account
Your responses are sent only for aggregate scoring. They are not added to analytics or saved as a user attempt. This tab keeps the attempt for up to two hours so an authentication return does not erase it.
Scope and limitations
- This covers the BS entrance only; MSc Mathematics has separate navigation.
- The Part B sample is not auto-scored and its protected solution is not included.
Not auto-scored
Public Part B problem sample
Suppose five complex numbers $z_1,z_2,z_3,z_4,z_5$ form the vertices of a regular pentagon inscribed in a circle of radius $2$ with center $c=6+8i$. - Find all possible values of $S=z_1^2+z_2^2+z_3^2+z_4^2+z_5^2$. State a value of $z_1$ maximizing $|S|$. - Find all possible values of $P=z_1z_2z_3z_4z_5$. State a value of $z_1$ minimizing $|P|$.The answer and solution are intentionally not exposed on this public introduction.
How this offer is verified
Repository source and official answer key reviewed; answers and solutions are scored only on the server.
Last meaningful review: