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OMPT-G

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

The science module: maths plus mechanics and chemistry, 26 questions.

OMPT-G is the odd one out: beyond algebra, functions, sequences, trig and geometry, its final chapters cover physics mechanics and chemistry. Finnish institutions use it: LUT University and Arcada both require it for science-track admissions. If your programme names OMPT-G, plan for the science chapters separately; maths prep alone will not cover you.

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

Format

The OMPT-G format, start to finish

26questions

180minutes

6.9min per question

  1. Linear formulas and equations
  2. Systems of linear equations
  3. Quadratic equations
  4. Functions
  5. Exponential functions and logarithms
  6. Sequences and series
  7. Trigonometry
  8. Geometry
  9. Geometric calculations
  10. Physics: mechanics
  11. Chemistrysyllabus ends here

Inside the exam

What the OMPT-G exam actually looks like

26 questions, 180 minutes, 119 syllabus topics, offered in English. omptest.org estimates 120 hours of preparation.

The OMPT-G is 26 questions in 180 minutes, about 6.9 minutes each, from a 119-topic syllabus in eleven chapters. Nine are maths: Linear formulas and equations, Systems, Quadratic equations, Functions (with limits and asymptotes), Exponential functions and logarithms, Sequences and series, Trigonometry, and two geometry chapters (basics: lines, angles and polygons, triangle calculations; continued: lines and circles). The last two are science: Physics (mechanics: one- and two-dimensional motion, forces and Newton’s laws, work and energy) and Chemistry (substances and solutions, reactions, acids and bases, redox).

The G has no Numbers or Algebra chapter of its own; they are assumed. There is no differentiation or integration chapter either, which surprises engineering applicants. Questions run in chapter order with randomised values, mostly open input with some multiple choice; the Maxima engine grades equivalence and a mathematician reviews. The OMPT-G is offered in English only.

By topic count Functions (29) is the biggest chapter, followed by Linear formulas, Quadratic equations, Exponential functions and Trigonometry at 13 each. Physics and Chemistry are 4 topics each, 8 of 119, but on a 26-question paper they still carry three to five questions between them, and they are the questions a maths-only preparation leaves blank.

Answer format on the OMPT-G

Final answer only, with an optional note. The OMPT-G lets you attach your calculations to an answer if you want a reviewer to see them, but the note is not required; the typed answer is what scores. Units matter in the physics and chemistry items. No negative marking.

Calculator policy on the OMPT-G

The OMPT-G shares its on-screen calculator with the D, not with the A/B/C/F group. omptest.org shows the tool only after registration; register early and try it, because the mechanics and chemistry questions involve more arithmetic than the pure-maths chapters. No physical or external calculator.

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-G chapters: example questions and common mistakes

Every OMPT-G 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. 1Linear formulas and equations

    13 syllabus topics · about 11% of the syllabus · 12 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.
  2. 2Systems of linear equations

    8 syllabus topics · about 7% of the syllabus · 7 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).
  3. 3Quadratic equations

    13 syllabus topics · about 11% of the syllabus · 12 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. 4Functionsincludes limits and asymptotes

    29 syllabus topics · about 24% of the syllabus · 22 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

    13 syllabus topics · about 11% of the syllabus · 11 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. 6Sequences and series

    5 syllabus topics · about 4% of the syllabus · 6 h

    Covers the notions of sequence and series, arithmetic sequences and series, geometric sequences and series.

    Questions look like

    • An arithmetic sequence has a₁ = 3 and d = 4. Find the sum of the first 20 terms.
    • Find the 10th term of 2, 6, 18, …
    • Find the sum of the infinite series 9 + 3 + 1 + 1/3 + …

    Common mistakes

    • Using n instead of n − 1 in the nth-term formula.
    • Applying the infinite-sum formula when |r| ≥ 1, where no sum exists.
    • Confusing the nth term with the sum of the first n terms.
  7. 7Trigonometry

    13 syllabus topics · about 11% 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

    • Give the exact value of sin(5π/6) and of tan(−π/4).
    • Solve 2cos(x) = 1 for 0 ≤ x < 2π.
    • State the period and amplitude of f(x) = 3sin(2x − π) + 1.

    Common mistakes

    • Mixing degrees and radians within one solution.
    • Finding one solution of a trig equation and forgetting the second one in the same period.
    • Getting the sign wrong in the second or third quadrant. Draw the unit circle every time.
    • Reading the period of sin(2x) as 2π. It is π; the 2 compresses the graph.
  8. 8Geometrysyllabus label: Geometry, basics

    8 syllabus topics · about 7% of the syllabus · 8 h

    Covers notions on lines, angles, triangles, the Pythagorean theorem.

    Questions look like

    • A right triangle has legs of 5 and 12. Find the hypotenuse.
    • Two angles of a triangle are 48° and 67°. Find the third.
    • Two parallel lines are cut by a transversal. One angle is 115°; find the angle marked x.

    Common mistakes

    • Applying Pythagoras to a triangle that is not right-angled.
    • Adding the two legs instead of their squares.
    • Confusing alternate and co-interior angles on parallel lines.
  9. 9Geometric calculationssyllabus label: Geometry, continued

    9 syllabus topics · about 8% of the syllabus · 8 h

    Covers lines and circles: descriptions, intersections, tangents, distances.

    Questions look like

    • Find the distance from the point (3, 1) to the line 2x − y + 4 = 0.
    • Give the equation of the tangent to the circle x² + y² = 25 at (3, 4).
    • Where does the line y = x + 1 meet the circle (x − 1)² + y² = 9?

    Common mistakes

    • Reading the centre of (x − 1)² + (y + 2)² = 9 as (−1, 2). The signs flip.
    • Reporting one intersection point when the line cuts the circle twice.
    • Forgetting that the tangent is perpendicular to the radius at the point of contact.
  10. 10Physics: mechanics

    4 syllabus topics · about 3% of the syllabus · 11 h

    Covers one-dimensional motion, two-dimensional motion, forces and Newton’s laws, work and energy.

    Questions look like

    • A car accelerates from rest at 2 m/s² for 6 s. How far does it travel?
    • A ball is thrown horizontally at 10 m/s from a height of 20 m. How long is it in the air, and how far does it land from the base?
    • A 5 kg block is pulled with 20 N against 5 N of friction. Find its acceleration.

    Common mistakes

    • Using v = u + at when the question asks for distance, which needs s = ut + ½at².
    • Mixing the sign of g between the vertical and horizontal parts of a projectile problem.
    • Putting the applied force into F = ma instead of the net force.
    • Reporting work in newtons or force in joules. Units are checked.
  11. 11Chemistry

    4 syllabus topics · about 3% of the syllabus · 11 h

    Covers substances and solutions, chemical reactions, acids and bases, redox chemistry.

    Questions look like

    • How many moles are in 10 g of NaOH (molar mass 40 g/mol)?
    • Balance Fe + O₂ → Fe₂O₃.
    • Find the pH of a 0.01 M solution of HCl.

    Common mistakes

    • Using mole ratios from an unbalanced equation.
    • Writing pH = log[H⁺] and forgetting the minus sign.
    • Confusing concentration (mol/L) with amount (mol).
    • Assigning oxidation numbers by charge alone and misidentifying which species is oxidised.

Who requires it

Universities that ask for OMPT-G

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.

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

If your OMPT-G 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-G, 60%”
LUT University’s Chemical and Process Engineering (SAT also accepted) and Vilnius University’s Chemistry of Nanomaterials. The chemistry chapter is short but these programmes will notice if you leave it blank.
“OMPT-G, 50%, up to three attempts”
Arcada’s Mechanical and Sustainable Engineering. The lowest published G bar; the mechanics chapter is the one to nail for this programme.
“OMPT-B or OMPT-G, 70%”
Amsterdam University College’s Sciences major, results due by 1 July. AUC recommends B for calculus-heavy tracks. G has no calculus and adds two science chapters, so it suits applicants with school physics and chemistry but weak integration.
“An engineering offer that says "OMPT-D"”
Then it is D, not G, however much the science chapters look relevant. D is the calculus paper; G is the maths-plus-science paper. The two do not substitute for each other.

Booking and logistics

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

Everything between deciding to sit the OMPT-G 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-G

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-G 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-G 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-G 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-G 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-G 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

60–70% 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-G study plan

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

  1. Week 1

    Algebra, equations, and functions: the maths spine of the test.

  2. Week 2

    Exponentials, logarithms, sequences and series.

  3. Week 3

    Trigonometry and geometry, including geometric calculations.

  4. Week 4

    Mechanics and chemistry chapters, then a full timed mock.

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

OMPT-G study hours by chapter

omptest.org's estimate is 120 hours for the OMPT-G. 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
Linear formulas and equations13 (11%)12 h3 of 26
Systems of linear equations8 (7%)7 h3 of 26
Quadratic equations13 (11%)12 h3 of 26
Functions29 (24%)22 h3 of 26
Exponential functions and logarithms13 (11%)11 h2 of 26
Sequences and series5 (4%)6 h2 of 26
Trigonometry13 (11%)12 h2 of 26
Geometry8 (7%)8 h2 of 26
Geometric calculations9 (8%)8 h2 of 26
Physics: mechanics4 (3%)11 h2 of 26
Chemistry4 (3%)11 h2 of 26
Total119120 h26

How our OMPT-G mocks map to the chapters

The full OMPT-G mocks are 26 typed-answer questions on a 180-minute clock, in chapter order from Linear formulas to Chemistry. The chapter mix follows the official OMPT-G weights: Functions 4 of the 26, Trigonometry 4, Sequences and series 3, Physics: mechanics 3, Chemistry 3, Linear formulas and equations 2, Quadratic equations 2, Exponential functions and logarithms 2, and one each for Systems of linear equations, Geometry and Geometric calculations. The two science chapters take 6 of the 26 between them, which matches their share of the real paper.

Each generation is a difficulty rung on that same mix. Generation 1 is single-step with small positive integers: the next term of a sequence, the weight of a bag from its mass, a mass from a molar mass. Generation 2 needs two steps and brings in fractions and negatives. Generation 3 goes multi-step, with parameter questions, applied contexts and exact forms. Generation 4 combines chapters in one question, asks in reverse and accepts exact answers only. The topic drills on this site cover the maths chapters in depth; for mechanics and chemistry, use the mock questions across all four rungs plus your own school notes, and make sure you can handle units, significant figures and balanced equations without a reference sheet, because the test provides none.

Try one

An OMPT-G question, as you’d meet it

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

Sequences and series

Write down the next term of the sequence 14, 21, 28, 35, …

Reveal the worked solution

Solution

Each term rises by 7. 35 + 7 = 42.

2 more on a timer, free

Scored instantly, per-topic feedback included.

Full mock exams

Buy a full OMPT-G mock

Each generation is a complete OMPT-G paper — 26 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-G candidates said afterwards

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

  • ElenaOMPT-G candidate · Romania
    I wanted maths, physics and chemistry practised together instead of in separate piles, and that mix turned out to be the most useful thing here.
  • SamuelOMPT-G candidate · Nigeria
    The first mock made it obvious that mechanics was my weak spot. I revised it, sat a second mock, and felt properly ready.

FAQ

OMPT-G questions people ask

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

Does the OMPT-G include physics and chemistry?

Yes. The last two chapters are Physics (mechanics: motion, forces, Newton’s laws, work and energy) and Chemistry (substances and solutions, reactions, acids and bases, redox). They are 8 of 119 topics.

How many questions is the OMPT-G?

26 questions in 180 minutes, about 6.9 minutes each, over eleven chapters.

Does the OMPT-G have calculus?

No differentiation or integration chapter. The G covers functions with limits and asymptotes, sequences and series, trigonometry and geometry, then the two science chapters.

Is the OMPT-G available in Dutch?

No. The G is offered in English only, like the E.

Which universities require the OMPT-G?

LUT University (Chemical and Process Engineering, 60%), Arcada (Mechanical and Sustainable Engineering, 50%), Vilnius University (Chemistry of Nanomaterials, 60%) and Amsterdam University College’s Sciences major as an alternative to B (70%).

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

No. Final answers only; you may add your calculations in a note but it is optional.

Which calculator does the OMPT-G use?

The same on-screen calculator as the D, different from the A/B/C/F tool. Details are shown after registration. No physical calculator.

How much does the OMPT-G cost?

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

How long should I study for the OMPT-G?

omptest.org estimates 120 hours. Give the physics and chemistry chapters more than their topic share, about 20 hours together, unless you have them fresh from school.

OMPT-G exam bundles

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

OMPT-G plans

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