Free OMPT-G mock exam

An OMPT-G mock exam — with the answers.

The OMPT-G is the science variant of the OMPT: a maths core plus physics and chemistry chapters, including mechanics, sat by applicants whose programme asks for introductory science alongside maths. On this page: the exact OMPT-G format, six sample questions with fully worked answers — free to read, no signup — and a free full-length mock at the OMPT-G's real length and real clock.

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The sample questions below need no account at all. The full mock needs a free one — takes a minute, no card.

The OMPT-G format, exactly.

The numbers the mock reproduces — and the ones worth knowing before you book the real thing.

Format factOMPT-G
Length & clock26 q · 180 min
PaceClose to 7 minutes per question — the science items take real working
What's on itA maths core (80% of the exam) plus physics and chemistry chapters, including mechanics (20%)
Answer entryMostly open entry — you type your maths, and it's checked by a computer algebra system
CalculatorYour own is banned; a scientific on-screen calculator is provided in the platform
LanguagesEnglish and Dutch
ProctoringLive human proctoring (ProctorU), from home, booked at least 72 hours ahead
ResultsUp to 8 working days after submission
Official attempt240 € each, purchased separately — 1–3 attempts depending on your programme
Not sure the G is your variant? It's the rarest of the seven, and your programme's admission page names the exact OMPT letter it wants — treat that as the source of truth. In doubt, compare all OMPT variants, and see the full OMPT-G guide for topics, weightings and pass marks.

Sample OMPT-G questions — with answers.

Six questions, one per official OMPT-G syllabus group, each tagged with the group's published share of the exam. Every solution is fully worked and visible right here — no signup, no PDF to hunt down. Try each one on paper first.

Question 1 · Functions, graphs & equations 45% of the OMPT-G

Solve for x:  log2(x) + log2(x − 6) = 4.

Worked solution

  1. Domain first: both logarithms must have positive arguments, so x > 6.
  2. Combine the logs: log2(x(x − 6)) = 4, so x(x − 6) = 24 = 16.
  3. Expand and rearrange: x2 − 6x − 16 = 0, which factors as (x − 8)(x + 2) = 0.
  4. The candidates are x = 8 and x = −2. Only x = 8 satisfies x > 6.
  5. Check: log2(8) + log2(2) = 3 + 1 = 4. Correct.

Answer to enter: 8. The rejected root is the classic trap — an answer of −2 scores zero, because the original logarithms don't exist there.

Question 2 · Sequences & series 10% of the OMPT-G

An arithmetic sequence has third term a3 = 11 and seventh term a7 = 23. Find the first term, the common difference, and the sum of the first 20 terms.

Worked solution

  1. From a3 to a7 is 4 steps of the common difference d: 23 − 11 = 4d, so d = 3.
  2. Walk back two steps from a3: a1 = 11 − 2 × 3 = 5.
  3. The 20th term is a20 = 5 + 19 × 3 = 62.
  4. Sum of the first 20 terms: S20 = 20 × (a1 + a20) / 2 = 20 × (5 + 62) / 2 = 10 × 67 = 670.

Answers to enter: a1 = 5, d = 3, S20 = 670.

Question 3 · Trigonometric functions 15% of the OMPT-G

Solve sin(2x) = cos(x) for 0 ≤ x ≤ π.

Worked solution

  1. Use the double-angle identity: sin(2x) = 2 sin(x) cos(x), so the equation becomes 2 sin(x) cos(x) − cos(x) = 0.
  2. Factor — never divide by cos(x), you'd lose solutions: cos(x) · (2 sin(x) − 1) = 0.
  3. cos(x) = 0 gives x = π/2 on this interval.
  4. sin(x) = 1/2 gives x = π/6 and x = 5π/6 on this interval.
  5. Check x = π/6: sin(π/3) = √3/2 and cos(π/6) = √3/2. Correct.

Answer to enter: x = π/6, π/2, 5π/6. Dividing both sides by cos(x) at step 2 silently discards x = π/2 — a full lost point on the real exam.

Question 4 · Geometry & coordinates 10% of the OMPT-G

A circle has equation x2 + y2 − 6x + 4y − 12 = 0. Find its centre and radius, and determine whether the point (7, 1) lies on the circle.

Worked solution

  1. Group and complete the square in each variable: (x2 − 6x) + (y2 + 4y) = 12.
  2. x2 − 6x = (x − 3)2 − 9 and y2 + 4y = (y + 2)2 − 4.
  3. So (x − 3)2 + (y + 2)2 − 13 = 12, i.e. (x − 3)2 + (y + 2)2 = 25.
  4. Centre (3, −2), radius √25 = 5.
  5. Test (7, 1): (7 − 3)2 + (1 + 2)2 = 16 + 9 = 25. The point lies on the circle.

Answers to enter: centre (3, -2), radius 5, and yes — (7, 1) is on the circle.

Question 5 · Mechanics 10% of the OMPT-G

A ball is thrown vertically upward with an initial speed of 19.6 m/s. Take g = 9.8 m/s2 and neglect air resistance. (a) How long does the ball take to reach its highest point? (b) What is the maximum height above the launch point? (c) How long after launch does it return to the launch height?

Worked solution

  1. (a) At the top, the velocity is zero: v = v0 − gt gives 0 = 19.6 − 9.8t, so t = 2.0 s.
  2. (b) With v2 = v02 − 2gh at the top: h = v02 / (2g) = (19.6)2 / (2 × 9.8) = 384.16 / 19.6 = 19.6 m.
  3. (c) By symmetry (no air resistance), the descent mirrors the ascent: total time = 2 × 2.0 = 4.0 s.

Answers to enter: t = 2.0 s, h = 19.6 m, t_total = 4.0 s.

Question 6 · Chemistry 10% of the OMPT-G

Hydrogen burns in oxygen according to 2 H2 + O2 → 2 H2O. What mass of water is produced when 8.0 g of hydrogen gas reacts completely? (Molar masses: H = 1.0 g/mol, O = 16.0 g/mol.)

Worked solution

  1. Moles of H2: molar mass of H2 is 2.0 g/mol, so 8.0 / 2.0 = 4.0 mol.
  2. The equation gives a 2 : 2 ratio of H2 to H2O — that is, 1 : 1 — so 4.0 mol of water forms.
  3. Molar mass of H2O: 2 × 1.0 + 16.0 = 18.0 g/mol.
  4. Mass of water: 4.0 × 18.0 = 72 g.
  5. Sanity check by conservation of mass: the 4.0 mol of H2 consumes 2.0 mol of O2 = 64.0 g, and 8.0 g + 64.0 g = 72 g. Correct.

Answer to enter: 72 g.

How to read your result: six questions can show you the question style, not your level. If any solution above surprised you, that chapter is where your first hours should go — the OMPT-G guide maps every chapter and its weight. To find out where you actually stand, sit the free 10-question test or the full-length mock below.

PDF vs interactive mock exam.

An official sample PDF exists, and it's a fair first look at how OMPT questions are phrased — use it. But know what you're holding: the sample that dominates the search results covers the OMPT-A, the pure-maths variant — 8 questions over 3 pages, with space to write your answers by hand — so it contains none of the mechanics or chemistry that make the OMPT-G what it is. Some re-uploads of it even ask you to create an account just to scroll; the original doesn't, and neither does this page.

The deeper limit is the medium. On the real OMPT-G you'll type your answers into a platform that checks them symbolically, against a clock, with only an on-screen calculator. A static PDF can't rehearse any of that: no timer, no typed-entry practice, no calculator constraint, no per-topic score. The interactive mock does all four, at the OMPT-G's own length — and marks you the moment you submit.

Two free ways to start.

A quick placement, or the full rehearsal — both free.

1

The 10-question practice test

No account needed. Pick OMPT-G in the selector and get 10 questions in about 15 minutes, weighted like your syllabus, with an instant score and your weakest topic. The fastest honest read on where you stand.

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2

The full OMPT-G mock exam

Free account, no card. The OMPT-G's real question count on its real 180-minute countdown, typed answers checked symbolically, and a per-topic debrief at the end — with every question reviewable.

Start the mock exam →
Sequence that works: free test first to find your weak chapters, drill them, then sit the full mock until your score sits comfortably above your programme's cutoff — and only then book the official attempt at 240 €.

FAQ

Is the OMPT-G mock exam really free?

Yes. The six sample questions on this page are free to read, answers included, with no signup. The full-length mock — 26 questions on a 180-minute clock, scored by topic — needs a free account that takes a minute to create; no card is asked for.

What is the format of the OMPT-G?

The OMPT-G has 26 questions in 180 minutes — close to 7 minutes per question. It combines a maths core (80% of the exam) with physics and chemistry chapters including mechanics (20%). Most answers are typed openly rather than picked from a list, and are checked by a computer algebra system.

Can I download an OMPT-G mock exam PDF with answers?

The sample PDF that dominates the search results covers the OMPT-A — the pure-maths variant — not the OMPT-G, and a static PDF cannot time you, check a typed answer or score you by topic. The six worked questions on this page follow the OMPT-G syllabus specifically, and the interactive mock exam uses the OMPT-G's real length and clock.

Can I use a calculator on the OMPT-G?

Not your own. On the real OMPT-G a scientific digital calculator is provided inside the test platform, and questions are designed to be solvable without a graphing calculator. Train under the same constraint: no personal calculator, only the one on screen.

What score counts as a pass on the OMPT-G?

There is no single pass mark: each programme sets its own cutoff. Published thresholds for OMPT tests range from 50% to 75% depending on the programme. Check your programme's admission page, and treat its number as the target for your mock scores.

Keep reading.

Know your variant, then know the process.

OMPT-G guide — topics & weightings Mock exams for every variant Which OMPT do I need? OMPT passing scores How to book the OMPT

Rehearse the G before you sit it.

Full-length, timed, scored by topic. Free account required — no card.

Start the free OMPT-G mock exam →