OMPT-D full mock exam, generation 4: 21 problems in 180 minutes
The top of the line, written at the difficulty of the sitting itself. I tell students to keep this one sealed until exam week and sit it once, on the clock, as the dress rehearsal.
Original problems, written by OMPT Practice. Official figures last verified 21 September 2026.
You type every answer and the grader checks it the way the real sitting does. There is no multiple choice to lean on.
The rest of the paper
All 21 questions unlock with purchase
The full set runs in chapter order under the real 180-minute clock, graded instantly, with a worked solution behind every question, including the ones you got right.
OMPT-D exam format this mock reproduces: 21 problems in 180 minutes
This OMPT-D paper follows the format below: 21 multi-step problems in 180 minutes, eleven chapters in syllabus order, the first four of which omptest.org marks as prerequisite. Official rows are from omptest.org; the last two describe this paper and its one big limitation.
Item
OMPT-D
Source
Questions
21, all typed answers
omptest.org
Time
180 minutes, timer starts only at Start
omptest.org
Pace
8.6 minutes per question
omptest.org
Chapters
11, asked in syllabus order
omptest.org
Answer field
Final answer plus your calculations in the note field; two graders score each step with a rubric.
omptest.org
Answer form
Exact: fractions, roots and powers unless a decimal is requested
omptest.org
Calculator
Only the extended on-screen calculator shared by OMPT-D and G; it does not apply order of operations
omptest.org
Formula sheet
None provided or allowed; special trigonometric values must be memorised
omptest.org
Negative marking
None; a wrong answer scores zero, not minus
omptest.org
Official grading
Software first, then omptest.org's mathematicians; 8 business days (4 with fast grading)
omptest.org
This paper
21 original questions, 180-minute clock, exam-level tier, graded on submit
this site
Report
Score, percentage, every chapter ranked weakest first, worked solution per question
this site
Official rows are read from the OMPT-D syllabus, the pricing page and the OMPT knowledge base at omptest.org, checked 21 September 2026. The OMPT-D hub lists every chapter with its topic count.
What an OMPT-D generation 4 sitting is like
Generation 4 is written at the difficulty of the OMPT-D sitting as omptest.org describes it: application and analysis items; omptest.org says the real test is harder than the practice material. The 21 questions keep the official chapter order and quota, and the hardest items sit late in each chapter, the way the real paper builds.
Keep it sealed until exam week and sit it once, on the clock, as the dress rehearsal, then spend the remaining days on the chapters it ranks lowest. Two graders will read your notes on the real paper; write this one as if they were reading.
Chapter mix of OMPT-D generation 4
The chapter quota is the same across the four OMPT-D generations. What changes is how many topics a single problem crosses: a generation-1 integration item is one definite integral, a generation-4 item is a volume of revolution that needs the intersection points first and a substitution in the middle. omptest.org describes the real OMPT-D that way, and Reddit candidates say the real paper is harder than even the official mock.
Official weights are from the OMPT-D learning-assessment page at omptest.org. Each drill link opens a free topic page with its own ten-problem set; the full list is on the topics page.
How to enter answers on the OMPT-D paper
On the real OMPT-D your calculations in the note field earn partial credit, so the final answer is only part of the score. This paper cannot read notes. Write the method on paper as you sit it and compare it with the worked solution, which is laid out in the steps a rubric would pay for.
Fractions and decimals
A fraction question wants a reduced fraction (7/16), a decimal question wants a decimal point, and swapping them costs the mark. The real calculator shows decimals only, so keep the fraction arithmetic on paper.
Roots and constants
Reduce the root and clear the denominator: 3+sqrt(5), 8pi, 2sqrt(5)/25. Numeric approximations of π, e and roots are wrong where exact form is asked.
Powers
x^2 and x² are read the same; so are cm^2 and cm². A negative exponent stays a power or becomes a fraction, never a decimal.
Multiple answers
List all solutions, comma-separated, in the order the question asks. A missing second root or angle is an incomplete answer, not a half-right one.
Intervals
Give inequalities as -5<=x<-2 or as [-5,-2). The bracket type carries meaning: round excludes the endpoint, square includes it.
Units and prefixes
Type the bare number; a unit the question named is stripped on grading. Do not add words such as metres or joules.
Working
On OMPT-D and OMPT-F the real paper scores your note field step by step; on B and G a note is optional; on A, C and E there is none. This paper grades the answer field only on every variant.
Invalid input
A half-filled template or an unclosed bracket on the real paper is flagged orange, stored and graded by hand. Here it is simply marked wrong, so check the syntax before you move on.
The OMPT-D uses the extended on-screen calculator shared by OMPT-D and G. What it can and cannot do is in our note on OMPT calculator rules.
Three worked OMPT-D examples in the answer form this paper grades
None of these three is in the paper; they show the exact-form answer the OMPT-D field expects and the entry error each question invites. Three more, from other chapters, are on the free OMPT-D mock page, and a longer set is in our sample questions walkthrough.
OMPT-D example 1 · Integration
The region under y = √x from x = 0 to x = 4 is rotated about the x-axis. Find the volume of the solid.
Volume of revolution: V = π ∫ y² dx = π ∫ from 0 to 4 of x dx.
∫ x dx = x²/2, which is 8 at x = 4 and 0 at x = 0.
V = 8π.
Answer: 8π
Entry: Type 8pi. 25.13 is the rounded decimal and is marked down; forgetting to square √x before integrating gives (16/3)π, the most frequent slip on this topic.
OMPT-D example 2 · Geometry
Vectors a = (2, −1) and b = (3, 4). Find cos θ for the angle θ between them, in simplified exact form.
Dot product: a · b = 2 × 3 + (−1) × 4 = 2.
Lengths: |a| = √5 and |b| = √25 = 5.
cos θ = 2/(5√5). Rationalise: multiply top and bottom by √5 to get 2√5/25.
Answer: 2√5/25
Entry: Type 2sqrt(5)/25. The unrationalised 2/(5sqrt(5)) is equal but the official field expects the simplified form; 0.1789 is the decimal and is not exact.
OMPT-D example 3 · Trigonometry
A curve is given parametrically by x = 2cos t, y = sin 2t. Find dy/dx at t = π/6.
dx/dt = −2 sin t and dy/dt = 2 cos 2t.
At t = π/6: dx/dt = −2 × 1/2 = −1 and dy/dt = 2 cos(π/3) = 2 × 1/2 = 1.
dy/dx = (dy/dt)/(dx/dt) = 1/(−1) = −1.
Answer: −1
Entry: Type -1. Dividing the other way round (dx/dt over dy/dt) also gives −1 here by coincidence, so the note must show the correct quotient to earn the method step.
How OMPT-D generation 4 compares with the official OMPT-D
Copied from the official OMPT-D: 21 problems, 180 minutes, chapter order, exact-form typed answers, no negative marking and no formula sheet. Not copied, and this matters more on OMPT-D than on any other variant: the note field that two omptest.org graders score step by step with a rubric. This paper grades the final answer only. Also not copied: the Sowiso engine, ProctorU and randomised values. Our generation-4 OMPT-D paper is written to the open-ended, multi-topic level omptest.org describes for the sitting.
Free OMPT-D mock
Official OMPT-D mock
OMPT-D generation 4 (€59.99)
Price
Free
€110
€59.99 once, VAT included
Questions
2, a tenth of the paper
21
21
Clock
17 minutes
180 minutes
180 minutes
Grading
Instant, in the browser
Software, then omptest.org's graders; 8 business days
Instant, on submit
Attempts
Unlimited, same questions
One
Unlimited re-sits, same questions
Review
Worked solution after scoring
In the account after grading (Report, then Review)
Worked solution per question after grading
Note field graded
No
Yes, by two graders
No
Software
This site
Sowiso engine, the same as the real test
This site
Proctoring
None
None (the mock is unproctored)
None
Account
None needed
omptest.org account
Email login after purchase
Official prices from omptest.org/pricing, checked 21 September 2026: practice material €95, OMPT-D mock €110, test attempt €270. The official mock and the practice material expire with the class year at the end of September.
What the OMPT-D score report shows after you submit
Submit and the OMPT-D paper is graded instantly on the 21 final answers, each with a multi-step worked solution, and the eleven chapters ranked weakest first. Sit it in one 180-minute block; stamina is the OMPT-D problem the short drills cannot test. The paper stays in your account for re-sitting, with earlier scores kept. Prices include VAT. Refunds within 14 days of purchase, by email, to the original payment method.
The refund and access wording in full is on the terms page. Bundles that pair this paper with another generation are on the plans page.
The ladder
Other OMPT-D generations
Generations climb toward the real sitting. Work them in order; each OMPT-D set uses entirely different questions.
No. The OMPT-D generation 4 paper is original, written to the eleven-chapter OMPT-D syllabus at omptest.org, including Lissajous figures, vectors and volumes of revolution. Real OMPT-D problems are never released; omptest.org's paid practice material and mock are its only own-brand sources.
›Can I re-sit OMPT-D generation 4?
Yes. One purchase of €59.99 keeps the OMPT-D generation 4 paper in your account, re-sittable under the 180-minute clock. The 21 problems stay the same, so use a re-sit to time the problems you had to leave the first time.
›Can I do the OMPT-D paper on a phone?
The OMPT-D paper runs in a phone browser, but do not sit it there. OMPT-D problems need paper for working, and the real sitting requires a computer with a webcam and the Guardian browser plus up to three A4 scratch sheets. Rehearse it the way you will sit it.
›How is the OMPT-D paper graded?
The OMPT-D paper is graded instantly on the typed final answer, in exact form, with the normaliser used everywhere on this site. The real OMPT-D is different: two omptest.org graders score your note field against a step rubric, with results in eight business days. Our worked solutions show those steps so you can self-mark the method.
›What if I find a mistake in an OMPT-D problem?
Use the report button under the OMPT-D problem. Every report is checked against the script that re-derives the generated answers, the paper is corrected, and you get a reply. The curated multi-step problems were re-derived by hand before release.
›Is OMPT-D generation 4 as hard as the real OMPT-D?
Generation 4 is our OMPT-D paper written to the open-ended, multi-topic level omptest.org describes for the sitting. Reddit candidates report the real OMPT-D is harder than even the official mock, so treat a generation-4 score as a floor and keep a margin above your cutoff.
›Does the OMPT-D paper expire?
No. A purchased OMPT-D paper stays in your account indefinitely. omptest.org's OMPT-D products (practice €95, mock €110, attempt €270) expire with the class year at the end of September.
Booking, proctoring and retake questions are answered on the help page; what the free sets cover for every variant is on the free OMPT practice test page.
Sources for the OMPT-D figures on this page, last checked 21 September 2026
Written by OMPT Practice. Every question above is original; none is a real OMPT item. Official prices and rules change with the class year each October.