OMPT-E full mock exam, generation 4: 40 questions in 120 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 questions, 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 40 questions unlock with purchase
The full set runs in chapter order under the real 120-minute clock, graded instantly, with a worked solution behind every question, including the ones you got right.
OMPT-E exam format this mock reproduces: 40 questions in 120 minutes
This OMPT-E paper follows the format below: 40 typed answers in 120 minutes across twelve chapters, the last five of them statistics. Official rows are from omptest.org; the last two describe this paper.
Item
OMPT-E
Source
Questions
40, all typed answers
omptest.org
Time
120 minutes, timer starts only at Start
omptest.org
Pace
3 minutes per question
omptest.org
Chapters
12, asked in syllabus order
omptest.org
Answer field
Final answer only; the grader does not read working.
omptest.org
Answer form
Exact: fractions, roots and powers unless a decimal is requested
omptest.org
Calculator
Only the on-screen calculator omptest.org provides specifically for OMPT-E; 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
40 original questions, 120-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-E syllabus, the pricing page and the OMPT knowledge base at omptest.org, checked 21 September 2026. The OMPT-E hub lists every chapter with its topic count.
What an OMPT-E generation 4 sitting is like
Generation 4 is written at the difficulty of the OMPT-E sitting as omptest.org describes it: items similar in difficulty to the official practice material. The 40 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. A score here that clears your cutoff by ten points or more is the signal most of my students wait for before booking.
Chapter mix of OMPT-E generation 4
All four OMPT-E generations share the same chapter quota, so the statistics chapters get the same share on every paper. The step count is what climbs: a generation-1 probability item is a single fraction from a sample space, a generation-4 item is a conditional probability that needs a tree and an independence check.
Official weights are from the OMPT-E 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-E paper
OMPT-E grades the answer field only. The exact-form rule bites hardest on the statistics chapters, where the calculator hands you a decimal and the grader wants the fraction.
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-E uses the on-screen calculator omptest.org provides specifically for OMPT-E. What it can and cannot do is in our note on OMPT calculator rules.
Three worked OMPT-E examples in the answer form this paper grades
None of these three is in the paper; they show the exact-form answer the OMPT-E field expects and the entry error each question invites. Three more, from other chapters, are on the free OMPT-E mock page, and a longer set is in our sample questions walkthrough.
OMPT-E example 1 · Probability distributions
X follows a binomial distribution with n = 4 and p = 1/3. Find P(X = 2) as a fraction.
P(X = 2) = C(4, 2) × (1/3)² × (2/3)².
C(4, 2) = 6, (1/3)² = 1/9 and (2/3)² = 4/9.
6 × 1/9 × 4/9 = 24/81 = 8/27.
Answer: 8/27
Entry: Type 8/27. Leaving 24/81 unsimplified can be marked down, and 0.296 is the calculator's decimal, not the exact probability.
OMPT-E example 2 · Probability
P(A) = 0.5, P(B) = 0.4 and P(A and B) = 0.2. Find P(A | B) and state whether A and B are independent.
Conditional probability: P(A | B) = P(A and B)/P(B) = 0.2/0.4 = 1/2.
Independence test: P(A) × P(B) = 0.5 × 0.4 = 0.2, which equals P(A and B).
So A and B are independent, and P(A | B) = P(A), as it should be.
Answer: P(A | B) = 1/2; independent
Entry: Type 1/2 (or 0.5, since the data were given as decimals). Dividing by P(A) instead of P(B) gives 2/5, the standard reversal error.
OMPT-E example 3 · Random variables
X takes the values 1, 2 and 5 with probabilities 1/2, 1/3 and 1/6. Find Var(X).
Entry: Type 2. Squaring the mean before subtracting is where most points go: 6 − 2 = 4 is the answer the grader sees from candidates who forgot to square.
How OMPT-E generation 4 compares with the official OMPT-E
Copied from the official OMPT-E: 40 questions, 120 minutes, chapter order, exact-form typed answers, no negative marking and no formula sheet. Not copied: omptest.org's OMPT-E calculator (use your own; the real one shows decimals only), the Sowiso engine, ProctorU supervision, randomised values and the manual check. omptest.org places the real OMPT-E at the level of its practice material; our generation-4 OMPT-E paper is written there.
Free OMPT-E mock
Official OMPT-E mock
OMPT-E generation 4 (€49.99)
Price
Free
€90
€49.99 once, VAT included
Questions
4, a tenth of the paper
40
40
Clock
12 minutes
120 minutes
120 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
No note field
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-E mock €90, test attempt €240. The official mock and the practice material expire with the class year at the end of September.
What the OMPT-E score report shows after you submit
Submit and the OMPT-E paper is graded instantly, 40 answers with worked solutions, and the twelve chapters ranked weakest first. On OMPT-E that ranking usually splits cleanly into algebra and statistics, which need different study plans. 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-E generations
Generations climb toward the real sitting. Work them in order; each OMPT-E set uses entirely different questions.
No. The OMPT-E generation 4 paper is original, written to the twelve-chapter OMPT-E syllabus at omptest.org, from numbers through the binomial and normal distributions. Real OMPT-E questions are not published.
›Can I retake OMPT-E generation 4?
Yes. After a single purchase of €49.99 the OMPT-E generation 4 paper stays in your account and can be re-sat under the 120-minute clock. The 40 questions are fixed; a retake checks fixes, generation 4 gives new questions.
›Does the OMPT-E paper work on a phone?
The OMPT-E paper runs on a phone, but probability answers such as 5/36 and 8/27 are slow to type on a phone keyboard, and the real OMPT-E is taken on a computer with a webcam under the Guardian browser. Sit at least one paper on a laptop.
›How is the OMPT-E paper graded?
The OMPT-E paper is graded instantly against accepted exact-form answers, with fractions checked against their decimals only when both sides are plain numbers. The real OMPT-E is checked by software and then by omptest.org's graders within eight business days.
›What if an OMPT-E question is wrong?
Report it with the button under the OMPT-E question. Reports are checked against the script that re-derives each generated answer, the live paper is corrected, and you get a reply. The curated statistics questions were re-derived by hand before release.
›Is OMPT-E generation 4 at real-test difficulty?
Generation 4 is the OMPT-E paper written at the difficulty omptest.org describes for the sitting, which it places at practice-material level. It is the closest OMPT-E paper we sell and the one to sit in exam week.
›How long is the OMPT-E paper available?
A purchased OMPT-E paper does not expire. omptest.org's OMPT-E products expire with the class year at the end of September, so a paper bought here in spring still works for an autumn retake.
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-E 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.