OMPT-F Explained: Syllabus, Difficulty, Test Example & Price

OMPT-F is the most advanced test in the OMPT series — narrow in topic range but deep in each one. Here's the syllabus, difficulty, a worked example, and pricing.

OMPT-F syllabus: what topics are covered

OMPT-F concentrates entirely on algebra, functions, and differentiation: algebra, linear formulas and equations, quadratic equations, functions, exponential functions and logarithms, and differentiation. There's no trigonometry, integration, geometry, or statistics — but the exam tests these six areas in unusual depth. It's 21 questions across a long 180-minute window. See the full OMPT-F syllabus.

How difficult is OMPT-F?

Don't let the shorter topic list fool you — OMPT-F is widely considered one of the two hardest OMPT variants (alongside OMPT-D), because it tests each of its six topics at real depth rather than covering them at a surface level. Expect multi-step algebraic manipulation and differentiation questions that go well beyond the single-rule application seen on OMPT-A. Most students report 80–110 hours of focused, depth-oriented practice rather than broad topic coverage.

OMPT-F test example

*Find all x such that x³ − 3x² − x + 3 = 0.*

Factor by grouping: x²(x − 3) − 1(x − 3) = (x² − 1)(x − 3) = (x − 1)(x + 1)(x − 3), so x = 1, −1, or 3.

A differentiation question at depth: *Differentiate f(x) = ln(3x² + 1).* Using the chain rule: f'(x) = 6x / (3x² + 1).

What do the real OMPT-F exam questions look like?

Expect multi-step algebra (factoring higher-degree polynomials, solving systems with substitution across several steps) and chained differentiation rules (product, quotient, and chain rule combined), rather than the single-step questions typical of the broader, shorter variants.

Is there an OMPT-F exam PDF?

No official OMPT-F exam PDF is published. Given how much OMPT-F rewards depth of practice on a narrow topic set, working through a full-length timed mock exam with detailed step-by-step solutions is the most direct way to prepare.

OMPT-F practice test price

Exam.ify's OMPT-F practice test costs €59.99 for the full 21-question, 180-minute mock exam with complete worked solutions — see the OMPT-F practice test.