TIL-I syllabus

The full TIL-I syllabus, with study priorities

This is the topic-by-topic map of what actually shows up on the TIL-I. Use it to plan your weeks so you don't over-study easy topics and under-study the ones that matter most.

Mathematics

Highest priority. Math carries the biggest share of TIL-I points.

  • Algebra: equations, inequalities, systems, absolute value
  • Functions: linear, quadratic, exponential, logarithmic
  • Powers, radicals, exponent rules
  • Analytic geometry: lines, parabolas, circles
  • Plane and solid geometry: angles, similarity, areas, volumes
  • Trigonometry: unit circle, identities, right triangles
  • Basic probability and combinatorics

Where students lose points

Slow arithmetic. If you can shave 15 seconds off routine algebra, you gain time for the hard questions at the end of the section.

Logic

High priority. Logic is fully learnable in a few focused weeks.

  • Numeric and letter sequences
  • Deductive reasoning ("if A then B" chains)
  • Set logic and Venn-style reasoning
  • Data-sufficiency style questions
  • Quantitative reasoning with tables and charts

Score gains on logic tend to be steep and quick — often the biggest single improvement in a student's mock scores.

Verbal comprehension

Medium priority (higher if Italian is not your first language).

  • Short and medium Italian passages
  • Main-idea and detail questions
  • Inference from context
  • Vocabulary in context

Non-Italian speakers should not panic — this section is trainable with regular timed practice, and pattern recognition matters more than perfect vocabulary.

Science

Medium priority.

  • Basic mechanics and kinematics
  • Units, dimensional analysis, orders of magnitude
  • Simple electricity, waves, and thermodynamics ideas
  • General scientific reasoning from short texts or diagrams

English

Lower priority for most international applicants — but do not skip it.

  • Grammar: tenses, conditionals, prepositions, articles
  • Vocabulary in context
  • Short reading comprehension

A B1–B2 English speaker who does a few timed drills usually gets near-full marks here. Spend your marginal hours on math and logic instead.

Suggested study order

  1. Fix weak math fundamentals first.
  2. Add daily logic drills — quick wins.
  3. Layer in verbal comprehension in Italian.
  4. Take your first full TIL-I practice test.
  5. From there, follow the mocks: drill whatever the mocks say is weakest.

Frequently asked questions

What topics are on the TIL-I?

The TIL-I covers mathematics, logic, verbal comprehension, science, and English. Math and logic carry the largest share of the total score.

Is physics on the TIL-I?

The TIL-I includes a science section with physics-based reasoning. It is not a full physics exam but expects comfort with basic mechanics, kinematics, and unit reasoning.

How much math is on the TIL-I?

Math is the largest section. Expect algebra, functions, exponents and logarithms, geometry, trigonometry, and basic probability.

Do I need advanced English for the TIL-I?

No. The English section tests solid B1–B2 grammar, vocabulary, and reading comprehension — not academic-level English.

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