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OMPT-E

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

The statistics variant: algebra plus probability, built for social sciences.

Psychology and social-science programmes typically sit OMPT-E. It swaps calculus depth for descriptive statistics, combinatorics, probability, and random variables. School tracks rarely get far into probability, so much of this is new material for most candidates, and that is where the underestimating happens. 40 questions in 120 minutes leaves no time to derive things from scratch.

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Format

The OMPT-E format, start to finish

40questions

120minutes

3.0min per question

  1. Numbers
  2. Algebra
  3. Linear formulas and equations
  4. Systems of linear equations
  5. Quadratic equations
  6. Functions
  7. Exponential functions and logarithms
  8. Descriptive statistics
  9. Combinatorics
  10. Probability
  11. Random variables
  12. Probability distributionssyllabus ends here

Inside the exam

What the OMPT-E exam actually looks like

40 questions, 120 minutes, 161 syllabus topics, offered in English. omptest.org estimates 120 hours of preparation.

The OMPT-E is 40 questions in 120 minutes, three minutes each, from a 161-topic syllabus in twelve chapters. Seven of them are the OMPT-A algebra core (Numbers through Exponential functions and logarithms, with slightly trimmed systems and quadratics chapters), and five are statistics: Descriptive statistics (16 topics), Probability (16), Combinatorics (3), Random variables (3) and Common probability distributions (3, binomial and normal). There is no differentiation chapter.

Questions arrive in chapter order with randomised values. Most are open input; some are multiple choice, and the statistics chapters include table-reading items. Automatic grading checks equivalence, and an OMPT mathematician reviews before release. Exact form matters in the algebra half; in the statistics half, follow the rounding the question specifies. The OMPT-E is offered in English only.

By topic count the algebra chapters are 136 of 161 topics and the statistics chapters 25, which would suggest about 85% algebra. In practice the statistics chapters are weighted more heavily than their topic count, and they are the ones candidates fail on, because school tracks rarely reach conditional probability or the normal distribution. Plan for roughly a third of the paper to be statistics and you will not be surprised.

Answer format on the OMPT-E

Final answer only. The OMPT-E never asks for working: you type the number, fraction or probability and the engine grades it. No deductions for wrong answers.

Calculator policy on the OMPT-E

The OMPT-E has its own on-screen calculator, separate from both the A/B/C/F tool and the D/G tool, which is sensible for a statistics paper. omptest.org reveals its exact functions only after registration. Physical, computer and web calculators remain banned. Exact answers are still expected where a question does not ask for a decimal.

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-E chapters: example questions and common mistakes

Every OMPT-E 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.

  1. 1Numbers

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

    Covers integers, negative numbers and absolute value, fractions and decimals, powers and roots, order of operations.

    Questions look like

    • Simplify (2/3 − 5/6) ÷ (1/4) and give the answer as a fraction.
    • Write 3⁻² × 3⁵ as a single power, then evaluate it.
    • Rewrite √72 in the form a√b with b as small as possible.

    Common mistakes

    • Reading −3² as 9. The square applies to 3 only; (−3)² is the one that gives 9.
    • Dividing fractions by flipping the wrong one. Only the divisor is inverted.
    • Splitting a root over a sum: √(9 + 16) is 5, not 3 + 4.
    • Leaving a decimal where the question wants an exact fraction or root. The grader expects exact form unless told otherwise.

  2. 2Algebra

    28 syllabus topics · about 17% of the syllabus · 16 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.

  3. 3Linear formulas and equations

    17 syllabus topics · about 10% of the syllabus · 10 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.

  4. 4Systems of linear equations

    6 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

    • Solve the system 2x + 3y = 12 and x − y = 1.
    • For which value of a do ax + 2y = 4 and 3x + y = 5 have no solution?
    • Two numbers add to 15 and one is twice the other. Find both.

    Common mistakes

    • Substituting an expression back into the same equation it came from, which produces 0 = 0 and no information.
    • Multiplying one side of an equation by a constant during elimination and forgetting the other side.
    • Not checking the pair in both original equations. A slip in the second line goes unnoticed otherwise.
    • Confusing "no solution" (parallel lines) with "infinitely many" (the same line twice).

  5. 5Quadratic equations

    17 syllabus topics · about 10% 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.

    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.

  6. 6Functions

    26 syllabus topics · about 16% 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

    • 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.

  7. 7Exponential functions and logarithms

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

  8. 8Descriptive statistics

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

    Covers data types and measurement levels, frequency distributions, quantiles, distribution shape, mean, median and mode, range, variance and standard deviation.

    Questions look like

    • Find the mean, median and mode of 4, 7, 7, 10, 12.
    • Compute the variance and standard deviation of 4, 7, 7, 10.
    • Classify each variable as nominal, ordinal, interval or ratio: shirt size, temperature in °C, number of siblings.

    Common mistakes

    • Using n where the question wants n − 1, or the other way around. Read whether it is a population or a sample.
    • Taking the median of an even-sized dataset as one of the middle values instead of their average.
    • Naming the skew by where the peak sits rather than where the tail points.
    • Calling temperature in °C a ratio variable. Zero degrees is not "no temperature".

  9. 9Probability

    16 syllabus topics · about 10% of the syllabus · 16 h

    Covers set notation, unions, intersections and complements, the basic probability rules, conditional probability, independence, contingency tables, sampling from a population.

    Questions look like

    • Given P(A) = 0.5, P(B) = 0.4 and P(A ∩ B) = 0.2, find P(A ∪ B).
    • From a contingency table of 200 students, find P(smoker | male).
    • Two fair dice are thrown. What is the probability that the sum is 8?

    Common mistakes

    • Adding P(A) and P(B) for events that overlap, without subtracting the intersection.
    • Flipping a conditional: P(A | B) and P(B | A) are different questions.
    • Computing "at least one" directly instead of through the complement.
    • Treating draws without replacement as if the probabilities stayed constant.

  10. 10Combinatorics

    3 syllabus topics · about 2% of the syllabus · 6 h

    Covers the fundamental counting principle, permutations, combinations.

    Questions look like

    • How many four-digit PIN codes have no repeated digit?
    • In how many ways can a committee of 3 be chosen from 10 people?
    • How many different arrangements are there of the letters in LEVEL?

    Common mistakes

    • Using a permutation where order does not matter, so the answer is too big by a factor of k!.
    • Adding where the counting principle says multiply.
    • Forgetting to divide out repeated letters in an arrangement.

  11. 11Random variables

    3 syllabus topics · about 2% of the syllabus · 5 h

    Covers discrete random variables, probability distributions, expected value.

    Questions look like

    • A game pays €5 with probability 0.2 and costs €2 otherwise. Find the expected winnings.
    • A probability table has one missing value p. Find p and then E(X).
    • Find the variance of X from its distribution table.

    Common mistakes

    • Not checking that the probabilities sum to 1 before using the table.
    • Computing E(X) as the plain average of the values, ignoring the probabilities.
    • Squaring E(X) where E(X²) is needed in the variance formula.

  12. 12Probability distributions

    3 syllabus topics · about 2% of the syllabus · 5 h

    Covers the binomial distribution, the normal distribution and its standardisation.

    Questions look like

    • A fair coin is tossed 8 times. Find P(exactly 3 heads).
    • Scores are normal with μ = 70 and σ = 8. Find P(X > 80).
    • For the same distribution, find x such that P(X < x) = 0.9.

    Common mistakes

    • Leaving out the binomial coefficient, so the probability of "3 heads in 8" is far too small.
    • Getting the sign of the z-score wrong when x sits below the mean.
    • Reporting P(X < x) when the question asked for P(X > x).

Who requires it

Universities that ask for OMPT-E

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

    • Psychology 60% (or OMPT-A 65% / OMPT-B 60% / OMPT-F 60%)
    • Law in Society 60% (or OMPT-A 65% / OMPT-B 60% / OMPT-F 60%)
    • Communication Science / Cultural Anthropology and Development Sociology / Political Science: Global Politics 60% (or OMPT-A 65% / OMPT-B 60% / OMPT-F 60%)
    • + 1 more programme

  • Amsterdam University College

    Amsterdam · Netherlands

    • Liberal Arts and Sciences, Social Sciences major 70%

  • Radboud University

    Nijmegen · Netherlands

    • Psychology 55%
    • Artificial Intelligence 55%

  • Erasmus University Rotterdam

    Rotterdam · Netherlands

    • Health Sciences / Health Policy and Management 55%
    • Psychology / Pedagogical Sciences / Sociology Not published (Mathematics Level 1 / OMPT-E / VWO Maths C certificate)

  • Vilnius University

    Vilnius / Kaunas / Šiauliai · Lithuania

    • Data Science / Software Engineering / Computer Modelling / Mathematics (master's) 70%
    • Innovative Communication and Entrepreneurship 55%

  • Mykolas Romeris University

    Vilnius · Lithuania

    • Psychology / Game Development and Digital Animation / Digital Media Design / Business Management and Startup Building / Global Business and Modern Marketing 55%

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

If your OMPT-E 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-E, 60%”
VU Psychology (Boswell-Beta and CCVX also count; SAT and ACT do not) and VU Law in Society, where the page lists no alternative test. A month of steady work covers this if your algebra is sound; the statistics chapters need their own two weeks.
“OMPT-E, 70%”
Amsterdam University College’s Social Sciences major. OMPT-A used to be accepted for this track but was phased out after September 2025, so an older forum post telling you to sit the A is wrong. Results are due by 1 July.
“OMPT-E or OMPT-C, 55%”
Radboud Psychology. C is 66 topics of algebra and geometry with no statistics; E is 161 topics. Unless you enjoy probability, sit the C.
“OMPT-E or OMPT-D, 55%”
Radboud Artificial Intelligence. D is the calculus-heavy STEM paper with written working; E is algebra plus statistics with final answers only. For most applicants E is the lighter load.
“OMPT-E, 55%”
Mykolas Romeris (Psychology, Game Development, Digital Media Design and others; two attempts per year) and Vilnius Innovative Communication and Entrepreneurship. Vilnius’s data-science master’s programmes ask for 70% on the same paper.

Booking and logistics

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

Everything between deciding to sit the OMPT-E 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

  • Practice material €95
  • Official mock test €90
  • Bundle (attempt + practice + mock) €385
  • Fast grading €120 (mock €70)
  • Fast bundle €545

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-E

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-E 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 120 minutes.

What happens on OMPT-E 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-E 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-E 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-E 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

65–70% 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-E study plan

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

  1. Week 1

    Algebra and equations: the quiet half of the test that still decides your score.

  2. Week 2

    Functions, exponentials, logarithms; start descriptive statistics.

  3. Week 3

    Counting, probability rules, random variables. Drill until notation stops slowing you down.

  4. Week 4

    Distributions, then mixed timed mocks at three minutes per question.

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

OMPT-E study hours by chapter

omptest.org's estimate is 120 hours for the OMPT-E. 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
Numbers17 (10%)8 h4 of 40
Algebra28 (17%)16 h4 of 40
Linear formulas and equations17 (10%)10 h4 of 40
Systems of linear equations6 (4%)4 h4 of 40
Quadratic equations17 (10%)10 h3 of 40
Functions26 (16%)16 h3 of 40
Exponential functions and logarithms14 (8%)10 h3 of 40
Descriptive statistics16 (10%)14 h3 of 40
Probability16 (10%)16 h3 of 40
Combinatorics3 (2%)6 h3 of 40
Random variables3 (2%)5 h3 of 40
Probability distributions3 (2%)5 h3 of 40
Total161120 h40

How our OMPT-E mocks map to the chapters

The full OMPT-E mocks are 40 typed-answer questions on a 120-minute clock, in syllabus order from Numbers to Probability distributions. The chapter mix follows the official OMPT-E weights, and it splits the paper exactly in half. The algebra half: Algebra 6 of the 40, Numbers 4, Linear formulas and equations 3, Quadratic equations 2, Functions 2, Exponential functions and logarithms 2, Systems of linear equations 1. The statistics half: Descriptive statistics 4, Combinatorics 4, Probability 4, Random variables 4, Probability distributions 4. Twenty and twenty.

Each generation is a difficulty rung on that same 40-question mix. Generation 1 is single-step with small positive integers: the mean of four numbers, the number of orders for five books, one marble from a bag. Generation 2 needs two steps and brings in fractions and negatives. Generation 3 goes multi-step, with parameter questions, applied contexts and exact forms (a probability as 3/8, not 0.375). Generation 4 combines chapters in one question, asks for exact variances from a probability table and accepts exact answers only. Statistics is the half where E candidates actually lose. If a mock shows the algebra half above 90% and the statistics half below 70%, the fix is the probability and distributions drills, not another full mock.

Try one

An OMPT-E question, as you’d meet it

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

Descriptive statistics

Find the mean of 8, 11, 12, 9.

Reveal the worked solution

Solution

Add the values: 40. Divide by 4: 10.

3 more on a timer, free

Scored instantly, per-topic feedback included.

Full mock exams

Buy a full OMPT-E mock

Each generation is a complete OMPT-E paper — 40 typed-answer questions under the real 120-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-E candidates said afterwards

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

  • YukiOMPT-E candidate · Japan
    A solid mix of algebra with probability and statistics. I assumed statistics was my strength; the mock showed me probability was where the points were leaking.
  • MateoOMPT-E candidate · Colombia
    Timing was my problem, not formulas. After practising here I stopped sinking ten minutes into single questions.

FAQ

OMPT-E questions people ask

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

How many questions is the OMPT-E?

40 questions in 120 minutes, three minutes each, from 161 syllabus topics in twelve chapters.

Does the OMPT-E have calculus?

No. The OMPT-E stops at exponential functions and logarithms and has no differentiation chapter. Its extra material is statistics and probability.

What statistics is on the OMPT-E?

Descriptive statistics (data types, frequency tables, quantiles, mean, median, mode, variance), Probability (set theory, probability rules, conditional probability, contingency tables), Combinatorics (counting, permutations, combinations), Random variables (distributions, expected value) and the binomial and normal distributions.

Is the OMPT-E available in Dutch?

No. The syllabus page lists English only for the OMPT-E; the A, B, C, D and F are the bilingual ones.

Which calculator does the OMPT-E use?

Its own on-screen calculator, separate from the other variants. omptest.org publishes the details after registration. No physical calculator is allowed.

Is the OMPT-E hard?

The algebra half is OMPT-A material without the calculus. The statistics half is new to most candidates, which is why omptest.org estimates 120 hours of preparation, the same as the D. It is not harder than the A; it is less familiar.

What score do I need on the OMPT-E?

55% at Radboud, Mykolas Romeris and Vilnius bachelors, 60% at VU, 70% at Amsterdam University College and Vilnius master’s programmes.

How much does the OMPT-E cost?

€240 per attempt, €95 for practice material, €90 for the official mock, €385 as a bundle. Fast grading €120.

How many times can I take the OMPT-E?

Most programmes allow three attempts; AUC allows two and Mykolas Romeris two per year. Attempts refresh each class year on 1 October.

OMPT-E exam bundles

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

OMPT-E plans

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