Number Theory Diagnostics
Each diagnostic adapts to your answers and ends with a per-topic readiness report, so you know exactly what to study next. Live tests open in our practice runner; the rest are being written now.
What the Number Theory Diagnostic Covers
This subject breaks down into 12 chapters. The diagnostic samples across all of them so no weak spot hides:
- Ch 1: Divisibility
- Ch 2: Prime Numbers
- Ch 3: GCD & Euclidean Algorithm
- Ch 4: Modular Arithmetic
- Ch 5: Congruences
- Ch 6: Fermat's & Euler's Theorems
- Ch 7: Chinese Remainder Theorem
- Ch 8: Diophantine Equations
- Ch 9: Quadratic Residues
- Ch 10: Primitive Roots
- Ch 11: Continued Fractions
- Ch 12: Cryptographic Applications
How It Works
1. Take the diagnostic
Answer adaptive questions across every Number Theory topic. Harder questions appear as you get answers right, so the test zeroes in on your true level fast.
2. Get your readiness report
See a topic-by-topic breakdown of where you are solid and where points are leaking — with the specific concepts to review.
3. Close the gaps
Use the report to self-study, or bring it to a free consultation and we will build a Number Theory plan that targets your weakest topics first.
Frequently Asked Questions
Is the Number Theory diagnostic free?
Yes. The Number Theory diagnostic is free to take. It adapts to your answers to find exactly where you are strong and where you need work.
How long does it take?
Most students finish in about 30 to 45 minutes. You get a per-topic readiness report as soon as you finish.
Can I get Number Theory tutoring afterward?
Yes. Bring your results to a free consultation and we will build a study plan that targets your weakest topics first.
Do I need to create an account?
No sign-up is required to take a diagnostic. Just open it and start.