All testsOMPT-D
OMPT-D
The STEM gate: 21 long-form questions across 242 topics.
Physics, Mathematics, Computing Science, AI, Chemistry: the engineering and science tracks map to OMPT-D. Only 21 questions, but each is a multi-step problem drawn from the widest syllabus of any variant, geometry and parametric curves included. The 180 minutes are there because you will need them.
Not sure this is your letter? All seven free sets sit on one page: free OMPT practice test.
Format
21questions
180minutes
8.6min per question
Inside the exam
21 questions, 180 minutes, 242 syllabus topics, offered in English and Dutch. omptest.org estimates 120 hours of preparation.
The OMPT-D is 21 questions in 180 minutes, about 8.6 minutes each, over the widest syllabus of the seven: 242 topics in eleven chapters. The first four chapters (Numbers, Algebra, Linear formulas, Systems) are marked as prerequisites on the syllabus page; the test itself concentrates on what follows: quadratics, functions with limits and asymptotes, exponentials and logarithms, differentiation, trigonometry, a 20-topic geometry chapter with circles, vectors and parametric curves, and integration up to solids of revolution and integration by parts.
Each question is a multi-step problem rather than a single skill check, and omptest.org warns on its pricing page that for D and F "the practice material covers foundational knowledge, while the final exam emphasizes analysis and application skills". You type the final answer and attach a note with your calculations; the note is compulsory and it is where partial credit comes from. The Maxima engine grades the typed answer; a mathematician reads the note.
By topic count the middle of the syllabus dominates: Functions (40 topics including limits), Differentiation (34), Trigonometry (27), Integration (23), Quadratic equations (21) and Geometry (20). With only 21 questions, expect roughly two per chapter after the prerequisites, and expect several of them to chain two chapters together, such as a parametric curve that needs a derivative, or an area that needs an intersection solved first.
Final answer plus written working, required. On the OMPT-D you type the answer and must add your calculations in a note; the reviewing mathematician reads the note and awards partial credit when parts of a solution are right. A bare correct answer with no working is exposed if anything is off. No negative marking.
The OMPT-D uses a different on-screen calculator from A, B, C and F (it shares it with G). omptest.org only shows the tool after registration, so practise in their environment before test day. Whatever it offers, no physical or external calculator is allowed and answers are expected in exact form.
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
Every OMPT-D chapter with its syllabus weight, the hours I would give it out of omptest.org's 120-hour estimate, example question stems (original, not real items), and the mistakes I mark most often.
17 syllabus topics · about 7% of the syllabus · 7 h
Covers integers, negative numbers and absolute value, fractions and decimals, powers and roots, order of operations.
Questions look like
Common mistakes
28 syllabus topics · about 11% of the syllabus · 13 h
Covers variables and substitution, exponent and root rules, expanding brackets, factorisation, notable products, algebraic fractions.
Questions look like
Common mistakes
17 syllabus topics · about 7% of the syllabus · 8 h
Covers formulas and their graphs, slope and intercept, composing a line through two points, parallel and intersecting lines, linear equations and inequalities.
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Common mistakes
10 syllabus topics · about 4% of the syllabus · 4 h
Covers the equation of a line in several forms, two equations with two unknowns by substitution and elimination.
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Common mistakes
21 syllabus topics · about 8% of the syllabus · 10 h
Covers the parabola and its vertex, solving by factorising, completing the square and the abc formula, drawing parabolas, intersections, quadratic inequalities.
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Common mistakes
40 syllabus topics · about 16% of the syllabus · 20 h
Covers domain and range, power functions, higher-degree polynomials, root functions, fractional (rational) functions with their asymptotes.
Questions look like
Common mistakes
14 syllabus topics · about 6% of the syllabus · 7 h
Covers exponential growth and decay, the exponential function and its graph, logarithms and their rules, solving exponential and logarithmic equations.
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Common mistakes
34 syllabus topics · about 14% of the syllabus · 17 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.
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Common mistakes
27 syllabus topics · about 11% of the syllabus · 13 h
Covers angles in right triangles, the unit circle and radians, special values, symmetry, addition and double-angle formulas, sine and cosine rules, the sine, cosine and tangent functions, period, amplitude, transformations, inverse functions.
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Common mistakes
20 syllabus topics · about 8% of the syllabus · 10 h
Covers notions on lines, angles, triangles, the Pythagorean theorem.
Questions look like
Common mistakes
23 syllabus topics · about 9% of the syllabus · 11 h
Covers antiderivatives and the integration constant, the definite integral, area under and between curves, solids of revolution, substitution, integration by parts, integrating quotients.
Questions look like
Common mistakes
Who requires it
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.
Leuven / Brussels · Belgium
Groningen · Netherlands
Amsterdam · Netherlands
Tilburg · Netherlands
Nijmegen · Netherlands
Maastricht / Venlo · Netherlands
Leiden · Netherlands
Rotterdam · Netherlands
Lappeenranta / Lahti · Finland
Kalundborg, Region Zealand · Denmark
Vilnius / Kaunas / Šiauliai · Lithuania
Kaunas · Lithuania
Kaunas · Lithuania
Comparing offers across universities? The full table lists every verified OMPT requirement in one place, sources included.
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.
Booking and logistics
Everything between deciding to sit the OMPT-D 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
Results
8 business days
Maximum, by email, with a per-topic score. Fast grading guarantees 4 business days from the day after submission.
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-D 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.
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.
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.
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 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
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
65–75% 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
Four weeks is enough for most students who can give it an hour a day. This is the OMPT-D order I use with my own students.
Week 1
Algebra and functions review, done fast, because the real work is ahead.
Week 2
Trigonometry and geometry, including circles and parametric descriptions.
Week 3
Differentiation and integration, emphasis on multi-step problems.
Week 4
Full 180-minute mocks. Practise writing out complete solutions, not just answers.
Prefer it mapped onto your actual exam date? The study planner turns this outline into a dated week-by-week schedule.
omptest.org's estimate is 120 hours for the OMPT-D. 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.
| Chapter | Syllabus topics | Hours | Mock questions |
|---|---|---|---|
| Numbers | 17 (7%) | 7 h | 2 of 21 |
| Algebra | 28 (11%) | 13 h | 2 of 21 |
| Linear formulas and equations | 17 (7%) | 8 h | 2 of 21 |
| Systems of linear equations | 10 (4%) | 4 h | 2 of 21 |
| Quadratic equations | 21 (8%) | 10 h | 2 of 21 |
| Functions | 40 (16%) | 20 h | 2 of 21 |
| Exponential functions and logarithms | 14 (6%) | 7 h | 2 of 21 |
| Differentiation | 34 (14%) | 17 h | 2 of 21 |
| Trigonometry | 27 (11%) | 13 h | 2 of 21 |
| Geometry | 20 (8%) | 10 h | 2 of 21 |
| Integration | 23 (9%) | 11 h | 1 of 21 |
| Total | 242 | 120 h | 21 |
The full OMPT-D mocks are 21 typed-answer problems on a 180-minute clock, in chapter order from Numbers to Integration. The chapter mix follows the official OMPT-D weights, which lean hard on the later chapters: Differentiation 4 of the 21, Geometry 4, Trigonometry 3, Integration 3, and one problem each for Numbers, Algebra, Linear formulas and equations, Systems of linear equations, Quadratic equations, Functions and Exponential functions and logarithms. Two thirds of the paper sits in four chapters, which is how the real D is weighted too.
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 parameter questions, applied contexts and exact forms. Generation 4 combines chapters in one problem, asks in reverse and accepts exact answers only, which is the nearest this site gets to a real D problem. Because the real D asks for a written note with every answer, practise writing one even though our grader only reads the typed answer. Keep three sheets of A4 beside you, write the solution as you would for a marker, then type the result. The habit costs a few minutes per question and buys partial credit on the day. With one mock question per chapter for the first seven chapters, use the topic drills for Functions and the algebra chapters, which a 21-question paper cannot sample properly.
Try one
This is question one of the free OMPT-D mock, at real difficulty rather than a warm-up.
Differentiation
Given f(x) = 5x² + 4x + 6, find f′(5).
Solution
f′(x) = 10x + 4. f′(5) = 50 + 4 = 54.
Scored instantly, per-topic feedback included.
Full mock exams
Each generation is a complete OMPT-D 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.
Foundation
21 questions · 180 min
€49.99VAT incl.
Broad
21 questions · 180 min
€49.99VAT incl.
Near-exam
21 questions · 180 min
€49.99VAT incl.
Exam-level
21 questions · 180 min
€59.99VAT incl.
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
Feedback from students who prepared here and then sat the real OMPT-D, paraphrased from their e-mails and anonymized to first name and country.
OMPT-D had me genuinely stressed. The mock questions were long, multi-step problems, which was exactly the practice I lacked, and one full three-hour sitting taught me more than scattered exercises ever did.
Challenging in a good way. Some questions took me far longer than planned, and the worked answers showed me precisely where my method went off the rails.
FAQ
The OMPT-D questions people type into a search box, answered from the official pages.
Because each one is a multi-step problem with written working, and the syllabus is 242 topics wide. 180 minutes for 21 questions is about 8.6 minutes each, and you will use them.
Yes. For OMPT-D and OMPT-F the knowledge base says you must type the final answer and add your calculations in a note. Partial scores are given when parts of the solution are correct.
Yes, through the note. An OMPT mathematician reviews your working and can award points for correct steps even if the final value is wrong. There is no negative marking.
D and F are €270 per attempt instead of €240, and their official mock is €110 instead of €90 (bundle €435). The extra covers human grading of the written work.
Yes. The geometry chapter has 20 topics: lines, circles, tangents, distances, vectors, parametric curves and Lissajous figures, and derivatives of parametric curves.
B is 64 short final-answer questions in 150 minutes over 226 topics. D is 21 long problems in 180 minutes over 242 topics, adds limits, geometry and parametric curves, requires written working, and costs €30 more.
From 55% (Radboud) through 60% (KU Leuven, VU, Maastricht, Leiden, LUT) and 65% (Groningen) to 70% (UvA, Tilburg, Vilnius) and above 75% (Erasmus School of Economics). Check your programme page.
A different on-screen calculator from the A/B/C/F one, shared with G. omptest.org shows its details only after registration. No physical calculator is allowed.
omptest.org estimates 120 hours, the joint highest of the seven. Eight to ten weeks at two hours a day is realistic if your prerequisites are solid.
Yes. English and Dutch are both offered.
Two full mock exams plus complete lessons on every OMPT-D topic, in a Foundation and an Exam-level bundle.