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OMPT-F

OMPT-F practice test: format, scoring, and a free mock

Long-form business maths: 21 questions, three hours, calculus-capped.

Some economics and business programmes ask for OMPT-F instead of A; NHH in Norway is one. Same territory as OMPT-A (algebra through differentiation, 149 topics, no trig or integrals) but delivered as 21 extended problems over 180 minutes. Depth over pace: partial-credit thinking and complete solutions matter more here.

Not sure this is your letter? All seven free sets sit on one page: free OMPT practice test.

Format

The OMPT-F format, start to finish

21questions

180minutes

8.6min per question

  1. Algebra
  2. Linear formulas and equations
  3. Quadratic equations
  4. Functions
  5. Exponential functions and logarithms
  6. Differentiationsyllabus ends here

Inside the exam

What the OMPT-F exam actually looks like

21 questions, 180 minutes, 149 syllabus topics, offered in English and Dutch. omptest.org estimates 80 hours of preparation.

The OMPT-F is 21 questions in 180 minutes, about 8.6 minutes each, from a 149-topic syllabus in six chapters: Algebra, Linear formulas and equations, Quadratic equations, Functions, Exponential functions and logarithms, Differentiation. That is the OMPT-A syllabus without the Numbers and Systems chapters, delivered as extended problems instead of quick items. No trigonometry, no integration, no geometry.

Each question is a multi-step problem, and omptest.org says the same thing about F as about D: the practice material covers the foundations while the exam "emphasizes analysis and application skills". You type the final answer and attach a note with the working; the note is required and an OMPT mathematician reads it for partial credit. Exact answers are the rule.

Functions (35 topics) and Differentiation (34) are the two big chapters, 46% of the syllabus between them, followed by Algebra (26) and Quadratic equations (21). On a 21-question paper expect three to five problems per chapter, several of which chain a functions question into a derivative, or an exponential model into an optimisation.

Answer format on the OMPT-F

Final answer plus written working, required. Like the D, the OMPT-F asks you to type the answer and add your calculations in a note. The note is compulsory and it is where partial credit is awarded when a step is right but the final value is not. No negative marking.

Calculator policy on the OMPT-F

The OMPT-F uses the same basic on-screen calculator as A, B and C: four functions, no order of operations, no fraction conversion. No physical or external calculator. With 8.6 minutes a question there is time to do arithmetic by hand, and the numbers are chosen to allow it.

Whatever the calculator, the knowledge base is blunt about format: use exact answers unless a question asks for a decimal, since 3/4, √5 and ∛2 are what the grader expects, and a rounded decimal in their place can cost the point. Powers are entered by repeated multiplication, and when typing nested fractions or exponents you use the arrow keys to leave a field before continuing.

Chapter by chapter

OMPT-F chapters: example questions and common mistakes

Every OMPT-F chapter with its syllabus weight, the hours I would give it out of omptest.org's 80-hour estimate, example question stems (original, not real items), and the mistakes I mark most often.

  1. 1Algebra

    26 syllabus topics · about 18% of the syllabus · 14 h

    Covers variables and substitution, exponent and root rules, expanding brackets, factorisation, notable products, algebraic fractions.

    Questions look like

    • Expand (2x − 3)(x + 5) and collect like terms.
    • Factorise 3x² − 12 completely.
    • Write 1/(x − 1) − 2/(x + 1) as a single simplified fraction.

    Common mistakes

    • Writing (a + b)² as a² + b². The middle term 2ab goes missing on about a third of first attempts I mark.
    • Cancelling terms instead of factors in a fraction: (x + 2)/(x) does not simplify to 2.
    • Stopping at 3(x² − 4) when the question says "completely". The difference of two squares still has to be taken out.
    • Adding exponents when multiplying different bases, or multiplying them when a power is raised to a power.
  2. 2Linear formulas and equations

    17 syllabus topics · about 12% of the syllabus · 9 h

    Covers formulas and their graphs, slope and intercept, composing a line through two points, parallel and intersecting lines, linear equations and inequalities.

    Questions look like

    • A line passes through (1, 4) and (3, −2). Give its equation in the form y = ax + b.
    • Solve 3(x − 2) ≤ 5x + 4.
    • Where does the line y = 2x − 6 cross each axis?

    Common mistakes

    • Forgetting to flip the inequality sign when dividing by a negative number.
    • Computing slope as Δx/Δy instead of Δy/Δx.
    • Reading the intercept off an equation before it has been rearranged into y = ax + b form.
    • Solving for x and then reporting the wrong quantity when the question asked for a coordinate pair.
  3. 3Quadratic equations

    21 syllabus topics · about 14% of the syllabus · 11 h

    Covers the parabola and its vertex, solving by factorising, completing the square and the abc formula, drawing parabolas, intersections, quadratic inequalities.

    Questions look like

    • Solve x² − 5x + 6 = 0 without the formula.
    • Find the vertex of y = 2x² − 8x + 3.
    • For which x is x² − 4x − 5 > 0?

    Common mistakes

    • Using the abc formula with the sign of b wrong. Write b out explicitly before substituting.
    • Solving the equality and then guessing the direction of the inequality instead of sketching the parabola.
    • Dropping one of the two roots when the question wants both intersection points.
    • Reading the vertex x-coordinate as b/2a instead of −b/2a.
  4. 4Functions

    35 syllabus topics · about 24% of the syllabus · 19 h

    Covers domain and range, power functions, higher-degree polynomials, root functions, fractional (rational) functions with their asymptotes.

    Questions look like

    • Give the domain of f(x) = √(2x − 6) / (x − 5).
    • State the vertical and horizontal asymptotes of f(x) = (3x + 1)/(x − 2).
    • Find all zeros of f(x) = x³ − 4x and sketch the graph.

    Common mistakes

    • Handling only one of the two domain conditions: the radicand must be non-negative and the denominator non-zero.
    • Taking the horizontal asymptote from the constant terms rather than the ratio of leading coefficients.
    • Mixing up domain and range in the final answer.
    • Sketching x⁴ as if it were x², or an odd power as if it were even.
  5. 5Exponential functions and logarithms

    14 syllabus topics · about 10% of the syllabus · 8 h

    Covers exponential growth and decay, the exponential function and its graph, logarithms and their rules, solving exponential and logarithmic equations.

    Questions look like

    • Solve 2^(x + 1) = 32.
    • Solve log₃(x) + log₃(x − 2) = 1.
    • A quantity grows by 3% a year. Write the growth formula and find, exactly, when it has doubled.

    Common mistakes

    • Writing log(a + b) as log a + log b. There is no rule for the log of a sum.
    • Forgetting the domain check after solving a log equation. In the example above x = −1 has to be thrown out.
    • Dividing exponents where they should be subtracted: 2⁵/2² is 2³, not 2^(5/2).
    • Giving a decimal from the on-screen calculator when the exact answer is a logarithm.
  6. 6Differentiation

    34 syllabus topics · about 23% of the syllabus · 19 h

    Covers the derivative as slope, derivatives of power functions and standard functions, sum, product, chain and quotient rules, tangent lines, extreme values and optimisation.

    Questions look like

    • Differentiate f(x) = (3x² + 1)⁵.
    • Find the equation of the tangent line to y = x³ − 2x at x = 2.
    • Find the maximum of f(x) = x·e^(−x) for x ≥ 0.

    Common mistakes

    • Dropping the inner derivative in the chain rule, so (3x² + 1)⁵ loses its factor 6x.
    • Treating the product rule as the product of the derivatives.
    • Swapping the order of the terms in the numerator of the quotient rule; the sign flips and the answer is wrong.
    • Finding where f′(x) = 0 and stopping, without deciding whether it is a maximum, a minimum, or neither.

Who requires it

Universities that ask for OMPT-F

Every requirement below was verified against the university's own admission page; each university page links the exact source. Cutoffs move between intakes, so always confirm on your programme's page.

  • Vrije Universiteit Amsterdam

    Amsterdam · Netherlands

    • Economics and Business Economics 65% (OMPT-A) / 60% (OMPT-F or OMPT-B)
    • International Business Administration 65% (OMPT-A) / 60% (OMPT-F or OMPT-B)
    • Philosophy, Politics and Economics 65% (OMPT-A) / 60% (OMPT-F or OMPT-B)
  • University of Amsterdam

    Amsterdam · Netherlands

    • Business Administration 60%, one attempt only
    • Economics and Business Economics 60%, one attempt only
    • Computational Social Science 60%, one attempt only
  • Radboud University

    Nijmegen · Netherlands

    • Economics and Business Economics 55%
    • International Business Administration 55%
  • Erasmus University Rotterdam

    Rotterdam · Netherlands

    • BSc International Business Administration (IBA) 75% (OMPT-A or F); 65% on OMPT-B or D per the Teaching and Examination Regulations
  • NHH Norwegian School of Economics

    Bergen · Norway

    • Bachelor in Business, Economics and Data Science 60%
  • BI Norwegian Business School

    Oslo · Norway

    • Bachelor of Data Science for Business 60%
  • LUT University

    Lappeenranta / Lahti · Finland

    • Digital Business (Lahti) / Sustainable International Business (Lappeenranta) 60%

Comparing offers across universities? The full table lists every verified OMPT requirement in one place, sources included.

If your OMPT-F offer says...

The same letter hides different rules. Read the line in your offer, find it below, and plan for that rule rather than for the average.

“OMPT-F, 60%, two attempts”
NHH’s Bachelor in Business, Economics and Data Science (score valid two years) and BI Norwegian Business School’s Data Science for Business (two attempts per intake; Norwegian R1 or S1+S2, or IB Maths grade 3+, also count). Both Norwegian schools use F rather than A.
“OMPT-F, 60%, one attempt only”
University of Amsterdam Business Administration and Economics and Business Economics, for HBO-propedeuse applicants, as an alternative to the Mathematics A certificate. One attempt means no diagnostic sitting: book only when a three-hour mock says 75%.
“OMPT-A at 65% or OMPT-F at 60%”
VU Economics and Business Economics and International Business Administration. Same content; F costs €30 more and asks for working but offers partial credit and four times the thinking time per question. Candidates who lose points to slips prefer F; candidates who find writing out steps slow prefer A.
“OMPT-D at 70% or OMPT-F at 60%”
UvA Actuarial Science. F is the lighter syllabus by 93 topics and skips trig, geometry and integration, but you get one attempt on this route against three on D.
“OMPT-A or OMPT-F, 75%”
RSM’s International Business Administration (two attempts). At 75% with two attempts, pick the format you are more accurate in and rehearse it under full time.
“OMPT-F, 55 to 60%”
Radboud EBE (55%, A also accepted) and LUT Digital Business and Sustainable International Business (60%, SAT also accepted).

Booking and logistics

OMPT-F booking, cost, ID, proctoring and results

Everything between deciding to sit the OMPT-F and holding the certificate, from omptest.org's own pages and knowledge base. Fees are per attempt and can change between admissions years.

Test attempt

€270

D and F cost €30 more than the other five; the written working is human-graded. Each attempt is bought separately.

Official add-ons

  • Practice material €95
  • Official mock test €110
  • Bundle (attempt + practice + mock) €435
  • Fast grading €120 (mock €70)
  • Fast bundle €599

Results

8 business days

Maximum, by email, with a per-topic score. Fast grading guarantees 4 business days from the day after submission.

How to book the OMPT-F

Create an account at omptest.org, link it to every university you are applying to (Settings, then Classes, then Add/change university; one certificate can serve several applications), and buy a OMPT-F attempt or bundle in the Store tab. The product is tied to an admissions year: the OMPT class runs 1 October to 30 September, and an attempt bought for 2027-2028 expires on 1 October 2027. omptest.org does not refund, so confirm the variant with admissions before paying.

Then click "Go to ProctorU" in the Test info & access class, fill in a working phone number, email and the correct time zone, download the Guardian browser, run the equipment check, and pick a slot. Tests run online only, every day of the year including weekends and holidays, and you must schedule at least 72 hours ahead. ProctorU charges an expedite fee inside that window: $8 within 72 hours ("Take It Soon"), $12 within 24 hours ("Take It Now"). Rescheduling or cancelling costs a €50 admin fee bought in the Store, and reinstating the test takes up to two business days.

Count backwards from your university's deadline: at least 8 business days for grading, 72 hours to book, and a buffer for a second attempt if your programme allows one. If you have dyslexia, dyscalculia or another documented condition, request extra time through the support form; processing takes up to two weeks, and you must ask again for each later attempt.

ID, room and what you may have on the desk

You need a government-issued photo ID in the Latin alphabet: passport, national ID card, residence permit or driving licence. omptest.org recommends bringing two. The room must be closed, quiet and well lit, with you alone in it, the door visible behind you on the webcam, and glass doors or windows covered. The desk is a hard surface with nothing on it except the permitted items: at most 3 sheets of A4 scrap paper, three pencils, an eraser, a drink in a transparent bottle, and a mirror or phone for the pre-test room scan. Pens, headphones, watches, food and any formula sheet are banned; no formula sheet is provided either.

The computer needs a working webcam, microphone and speakers, the Guardian browser, a stable connection (Wi-Fi is allowed but discouraged, mobile hotspots are not), full-screen mode, and sleep and screensaver disabled. Toilet breaks are not allowed during the 180 minutes.

What happens on OMPT-F test day

  1. Log in to omptest.org in the Guardian browser 15 minutes before your slot and click "Go to ProctorU".
  2. Automated checks take five to ten minutes: photos of you and your ID, then a scan of the room and desk with the mirror or phone.
  3. A live proctor joins by chat and voice, confirms your identity, reads the rules and checks the permitted items.
  4. You log in to the test site a second time and press Start. Your webcam and screen are recorded throughout. All questions load at the start, so a brief disconnection does not stop you working; you are responsible for reconnecting through "Reconnect with ProctorU" before the timer ends.
  5. Finish, open the overview page, press Submit, and tell the proctor in chat. Then erase your notes and tear the scrap paper into small pieces on camera, log out, and close Guardian while the proctor watches.

Rule breaches are taken seriously: sanctions run from invalidating the result to a one-year suspension from all OMPT tests, and the university is informed.

How the OMPT-F is graded

Every paper is first graded by the Maxima computer-algebra engine, which accepts any equivalent exact form, then reviewed by an OMPT mathematician. The certificate arrives by email with a score per topic; universities you linked can see it. Where universities publish a validity period (Erasmus University College, NHH, Kaunas University of Technology), it is two years.

OMPT-F retakes

OMPT itself lets you buy as many attempts as the class year holds, and refreshes them every 1 October. Your university decides how many it counts. Most programmes accept three; omptest.org keeps a list of exceptions, and the university cards above show the cap where one is published. The 2019 SOWISO report noted that scores rise across attempts, and that 68% of resit candidates cleared 55% eventually. That is comforting only if your programme allows the resit.

Scoring

OMPT-F scores and cutoffs

Scale

Percentage score, 0–100%

Our mocks score instantly in your browser. The official test does not: standard grading returns your certificate in about 8 business days, so plan your booking around that wait.

Typical cutoff

70% depending on the programme

Every university sets its own bar per programme, so this range is a guide, never a promise. Aim ten points above your target cutoff in practice; exam-day nerves cost about that much.

Study plan

A four-week OMPT-F study plan

Four weeks is enough for most students who can give it an hour a day. This is the OMPT-F order I use with my own students.

  1. Week 1

    Algebra and quadratics. Write full solutions, not shortcuts, from the first day.

  2. Week 2

    Functions in depth: domain, transformations, rational and inverse functions.

  3. Week 3

    Exponentials, logarithms, and differentiation rules.

  4. Week 4

    Applications of derivatives, then two full three-hour mocks.

Prefer it mapped onto your actual exam date? The study planner turns this outline into a dated week-by-week schedule.

OMPT-F study hours by chapter

omptest.org's estimate is 80 hours for the OMPT-F. This is how I would split it, by syllabus weight first and then shifted toward the chapters most candidates meet for the first time. Halve the shared algebra rows if you finished a maths-heavy school track this year.

ChapterSyllabus topicsHoursMock questions
Algebra26 (18%)14 h4 of 21
Linear formulas and equations17 (12%)9 h4 of 21
Quadratic equations21 (14%)11 h4 of 21
Functions35 (24%)19 h3 of 21
Exponential functions and logarithms14 (10%)8 h3 of 21
Differentiation34 (23%)19 h3 of 21
Total14980 h21

How our OMPT-F mocks map to the chapters

The full OMPT-F mocks are 21 typed-answer problems on a 180-minute clock, in chapter order from Algebra to Differentiation. The chapter mix follows the official OMPT-F weights, and Differentiation dominates: 8 of the 21 problems, then Quadratic equations 4, Algebra 3, Linear formulas and equations 3, Functions 2 and Exponential functions and logarithms 1. The free mock is a shorter diagnostic set.

The four generations are four difficulty rungs on that same mix. Generation 1 is single-step with small positive integers. Generation 2 needs two steps and lets fractions and negatives in. Generation 3 goes multi-step, with questions like "for which x is the derivative zero", applied contexts such as the velocity of a ball from its height formula, and exact forms. Generation 4 combines chapters in one problem, asks in reverse and accepts exact answers only, which is what an F problem looks like on the day. Our grader reads the typed answer only, so the note discipline is on you: write every solution on paper as if a marker will read it, then type the result. Time yourself at eight minutes a problem. If you finish a rung 4 mock with an hour to spare, you are probably skipping steps that the real test would credit.

Try one

An OMPT-F question, as you’d meet it

This is question one of the free OMPT-F mock, at real difficulty rather than a warm-up.

Functions

f(x) = (x − 3)/(x + 1). Evaluate f(5).

Reveal the worked solution

Solution

f(5) = (5 − 3)/(5 + 1) = 2/6. 2/6 simplifies to 1/3.

1 more on a timer, free

Scored instantly, per-topic feedback included.

Full mock exams

Buy a full OMPT-F mock

Each generation is a complete OMPT-F paper — 21 typed-answer questions under the real 180-minute clock, graded with worked solutions. They climb toward the real sitting: start low, finish on the exam-level set the week before you book.

Exam-level means the top of this line — written at the difficulty of the sitting itself. Lower generations sweep more of the syllabus at a gentler level, which is exactly what you want early in a plan.

From students

What OMPT-F candidates said afterwards

Feedback from students who prepared here and then sat the real OMPT-F, paraphrased from their e-mails and anonymized to first name and country.

  • NoraOMPT-F candidate · Norway
    Fewer questions than the other variants, but nowhere near easy. Several went deeper than I expected and made me think properly before the real test did.
  • AhmedOMPT-F candidate · Egypt
    Far better than grinding exercises out of my notes. It runs like an actual full exam, and the solutions walk through every step instead of jumping to the answer.

FAQ

OMPT-F questions people ask

The OMPT-F questions people type into a search box, answered from the official pages.

How many questions is the OMPT-F?

21 questions in 180 minutes, about 8.6 minutes each, from 149 syllabus topics in six chapters.

What is the difference between OMPT-F and OMPT-A?

Same territory, different shape. A is 52 quick final-answer questions in two hours over 176 topics; F is 21 extended problems in three hours over 149 topics, without the Numbers and Systems chapters, and requires written working with partial credit. F costs €270, A €240.

Do I have to show my working on the OMPT-F?

Yes. The knowledge base says D and F candidates must input the final answer and add their calculations in a note. Partial scores are awarded for correct parts.

Why is the OMPT-F €270?

D and F are the two long-form variants with human-graded written work, so the attempt costs €270 instead of €240 and the official mock €110 instead of €90.

Does the OMPT-F have trigonometry or integration?

No. The F stops at differentiation, like the A. Trigonometry and integration are B and D material.

Which universities accept the OMPT-F?

NHH and BI in Norway (60%), UvA Business Administration and EBE (60%, one attempt), UvA Actuarial Science (60%, alternative to D), VU EBE and IBA (60%, alternative to A), RSM IBA (75%, alternative to A), Radboud EBE (55%), LUT business programmes (60%).

Can I use a calculator on the OMPT-F?

Only the basic on-screen calculator shared with A, B and C. No physical or external calculator.

How long should I study for the OMPT-F?

omptest.org estimates 80 hours, the same as the A. Spend a larger share of it on writing complete solutions than you would for the A.

Can I take the OMPT-F in Dutch?

Yes. English and Dutch are both offered.

OMPT-F exam bundles

Two full mock exams plus complete lessons on every OMPT-F topic, in a Foundation and an Exam-level bundle.

OMPT-F plans

Sources for this OMPT-F page, last checked 21 September 2026