64questions
150minutes
2.3min per question
- Numbers
- Algebra
- Linear formulas and equations
- Systems of linear equations
- Quadratic equations
- Functions
- Exponential and logarithmic functions
- Differentiation
- Trigonometry
- Integrationsyllabus ends here
All testsOMPT-B
OMPT-B
The heavyweight: 64 questions, 150 minutes, trig and integrals included.
Econometrics, Operations Research, Business Analytics: the quantitative programmes ask for OMPT-B, and it earns its reputation. It covers everything OMPT-A does plus trigonometry and integration, with 226 curriculum topics behind it. Budget more prep time than you think you need; the pace is 2.3 minutes per question.
Not sure this is your letter? All seven free sets sit on one page: free OMPT practice test.
Format
64questions
150minutes
2.3min per question
Inside the exam
64 questions, 150 minutes, 226 syllabus topics, offered in English and Dutch. omptest.org estimates 100 hours of preparation.
The OMPT-B is 64 questions in 150 minutes, or 2.3 minutes per question, over a 226-topic syllabus in ten chapters. It is the longest OMPT by question count and the only one that combines the full OMPT-A material with trigonometry and integration. Questions run in chapter order, so the paper starts with numbers and algebra and ends, when you are tired, with integrals. Every item carries randomised values.
Most items are open input: you type a number, an exact expression, an interval or a coordinate pair, and the Maxima engine checks equivalence. A few are multiple choice or graph-based. Exact form is the rule; a decimal for √2 or for ln 3 costs the point. An OMPT mathematician reviews the paper before results are released.
Weighting is unpublished, but the syllabus is a fair guide. Functions (35 topics) and Differentiation (34) remain the heaviest chapters, then Algebra (28), Trigonometry (27), Integration (23) and Quadratic equations (21). Trig and integration together are 50 of the 226 topics, about 22%, and on a 64-question paper that is roughly 14 questions. Candidates who skip them because "most of the test is algebra" cap themselves at 78% before they start.
Final answer only, with an optional note. On the OMPT-B you may attach your calculations to an answer if you think it helps, but the note is not required and a correct final answer scores on its own. Nothing is deducted for wrong answers.
The OMPT-B uses the same basic on-screen calculator as A, C and F. It has no trig keys, and the knowledge base is explicit that this is deliberate: the trigonometry questions are written so that exact values (sin π/6 = 1/2 and friends) are all you need. The official practice material does mention a scientific calculator in the trig chapter; those exercises do not appear on the test.
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-B chapter with its syllabus weight, the hours I would give it out of omptest.org's 100-hour estimate, example question stems (original, not real items), and the mistakes I mark most often.
17 syllabus topics · about 8% 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 12% of the syllabus · 12 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 8% 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.
Questions look like
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.
Questions look like
Common mistakes
21 syllabus topics · about 9% of the syllabus · 9 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
Common mistakes
35 syllabus topics · about 15% of the syllabus · 16 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 · 6 h
Covers exponential growth and decay, the exponential function and its graph, logarithms and their rules, solving exponential and logarithmic equations.
Questions look like
Common mistakes
34 syllabus topics · about 15% of the syllabus · 15 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
Common mistakes
27 syllabus topics · about 12% of the syllabus · 12 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.
Questions look like
Common mistakes
23 syllabus topics · about 10% 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.
Amsterdam · Netherlands
Leeuwarden · Netherlands
Maastricht / Venlo · Netherlands
Rotterdam · Netherlands
Lappeenranta / Lahti · Finland
Helsinki · Finland
Kalundborg, Region Zealand · Denmark
Vilnius / Kaunas / Šiauliai · Lithuania
Bangkok · Thailand
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-B 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
€240
The same fee as A, B, C, E and G. D and F cost €270. 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-B 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 150 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
70–75% 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-B order I use with my own students.
Week 1
Algebra and equations at full speed: you cannot afford slow arithmetic on 64 questions.
Week 2
Functions, exponentials, logarithms. Start one timed mini-set every other day.
Week 3
Trigonometry from radians up to equations, then differentiation.
Week 4
Integration, mixed timed mocks, and a ruthless review of every miss.
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 100 hours for the OMPT-B. 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 (8%) | 7 h | 7 of 64 |
| Algebra | 28 (12%) | 12 h | 7 of 64 |
| Linear formulas and equations | 17 (8%) | 8 h | 7 of 64 |
| Systems of linear equations | 10 (4%) | 4 h | 7 of 64 |
| Quadratic equations | 21 (9%) | 9 h | 6 of 64 |
| Functions | 35 (15%) | 16 h | 6 of 64 |
| Exponential and logarithmic functions | 14 (6%) | 6 h | 6 of 64 |
| Differentiation | 34 (15%) | 15 h | 6 of 64 |
| Trigonometry | 27 (12%) | 12 h | 6 of 64 |
| Integration | 23 (10%) | 11 h | 6 of 64 |
| Total | 226 | 100 h | 64 |
The full OMPT-B mocks are 64 typed-answer questions on a 150-minute clock, in chapter order from Numbers to Integration. The chapter mix follows the official OMPT-B weights, so the paper is calculus-heavy: Differentiation 16 of the 64, Integration 11, Trigonometry 10, Algebra 7, Exponential and logarithmic functions 6, Functions 4, Numbers 3, Linear formulas and equations 3, Systems of linear equations 2 and Quadratic equations 2. That is 37 of 64 questions in the last three chapters, sat at the end of a long paper when concentration is fading, which is exactly how the real B feels. The free mock is a shorter diagnostic set with worked solutions.
Each generation is a difficulty rung with the same 64-question mix. Generation 1 is single-step with small positive integers: differentiate a polynomial, integrate a power, convert between degrees and radians. Generation 2 needs two steps and brings in fractions and negatives. Generation 3 goes multi-step, asks for the value of a parameter and sets applied contexts, with exact forms expected. Generation 4 combines chapters in one question, asks things in reverse (given where the stationary point sits, find k; given the area under a curve, find the upper bound) and accepts exact answers only. If your Differentiation score falls off between rung 2 and rung 3, that is the chain rule and product rule, and the topic drills fix it faster than another full mock does.
Try one
This is question one of the free OMPT-B mock, at real difficulty rather than a warm-up.
Differentiation
Let f(x) = 2x³ + 3x. Work out the value of the derivative at x = 1.
Solution
Power rule: f′(x) = 6x² + 3. f′(1) = 6 × 1 + 3 = 9.
Scored instantly, per-topic feedback included.
Full mock exams
Each generation is a complete OMPT-B paper — 64 typed-answer questions under the real 150-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
64 questions · 150 min
€39.99VAT incl.
Broad
64 questions · 150 min
€39.99VAT incl.
Near-exam
64 questions · 150 min
€39.99VAT incl.
Exam-level
64 questions · 150 min
€49.99VAT 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-B, paraphrased from their e-mails and anonymized to first name and country.
Time pressure and integration were my two worries for OMPT-B, and the timed mock trained both. By exam day nothing on the paper felt new.
Doing a second full mock paid off because the questions were different, so I could not coast on remembered answers. The explanations go into real detail too.
FAQ
The OMPT-B questions people type into a search box, answered from the official pages.
64 questions in 150 minutes, across ten chapters and 226 syllabus topics. About 2.3 minutes per question.
It is the most demanding OMPT by volume: every OMPT-A chapter plus trigonometry and integration, at the same pace. omptest.org estimates 100 hours of preparation against 80 for the A. Candidates who finish the official practice course average 76% on the first attempt; those who do not average 40%.
Yes. Same first eight chapters, then two more (27 trig topics, 23 integration topics), 12 more questions and 30 more minutes. The per-question pace is the same.
Only the basic on-screen calculator. It has no sin, cos or log keys, so you need the special trig values by heart. Physical and external calculators are forbidden.
No. The knowledge base states that trig questions requiring a scientific calculator do not appear on the test; the values are chosen for exact answers.
No. Only the final answer is required. You may add your calculations in a note, which can help a reviewer if the final answer is slightly off, but it is optional.
Published minimums: 50% at Arcada, 55% at Vilnius, 60% at VU, Groningen, LUT and ESE (as the B alternative), 65% at Chulalongkorn, 70% at Amsterdam University College. Maastricht confirms the variant but not the number.
€240 per attempt, €95 for the official practice material, €90 for the official mock, €385 for the bundle. Fast grading is €120 extra.
Yes, the OMPT-B is available in English and Dutch.
omptest.org says 100 hours. Split it roughly 60 hours on the shared algebra-to-differentiation material and 40 on trigonometry and integration, and start six to eight weeks out.
Two full mock exams plus complete lessons on every OMPT-B topic, in a Foundation and an Exam-level bundle.