OMPT-E · Foundation
The gentlest and widest set in the line. It spreads its questions across the whole topic range instead of piling onto the hard end, so a weak chapter shows itself in one sitting. Start here if the free mock felt rough.
Original questions, written by OMPT Practice. Official figures last verified 21 September 2026.
40questions, all open-ended
120minutes on the clock
€39.99once, VAT included
You type every answer and the grader checks it the way the real sitting does. There is no multiple choice to lean on.
Free preview
4 questions from the harder half of this exact paper, a tenth of it, answerable right here with a worked solution after each. I picked them from the back on purpose: if these feel fine, the sitting will hold no surprises.
Preview question 1 of 4
Find the mean of 8, 11, 12, 9.
Preview question 2 of 4
A code consists of 2 symbols, each chosen from 7 available symbols, and repeats are allowed. How many codes are possible?
Preview question 3 of 4
A fair coin is tossed. You win €7 on tails and €11 on heads. What is the expected winning in euros?
Preview question 4 of 4
X is equally likely to be any integer from 1 to 12. Find P(X ≤ 2) as a fraction.
The rest of the paper
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.
One purchase, this generation, yours to re-sit.
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, foundation 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.
Generation 1 of the OMPT-E line is the widest and gentlest paper. Its 40 questions are spread evenly over the 12 chapters and most ask for one idea at a time, so a chapter you have not studied shows up as a cluster of wrong answers rather than a vague sense of struggling.
Sit it early, before you have read anything. The clock is the real 120 minutes, and the per-question pace of 3 minutes is the official one, so the time pressure is honest even though the questions are not yet. Type every answer in exact form; that habit is harder to build later than the maths is.
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.
| Chapter | In this paper | Official weight | Drill |
|---|---|---|---|
| Numbers | 4 of 40 | 10% | exponents and roots |
| Algebra | 6 of 40 | 15% | polynomials and factoring |
| Linear formulas and equations | 3 of 40 | 10% (with systems) | linear equations |
| Systems of linear equations | 1 of 40 | 10% (with linear) | linear and quadratic functions |
| Quadratic equations | 2 of 40 | 10% (with functions) | quadratic equations |
| Functions | 2 of 40 | 10% (with quadratics) | function basics |
| Exponential functions and logarithms | 2 of 40 | 5% | logarithms |
| Descriptive statistics | 4 of 40 | 10% | descriptive statistics |
| Combinatorics | 4 of 40 | 10% | counting and combinatorics |
| Probability | 4 of 40 | 10% | probability basics |
| Random variables | 4 of 40 | 10% | random variables |
| Probability distributions | 4 of 40 | 10% | random variables |
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.
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.
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.
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.
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.
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).
Answer: 2
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.
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 1 (€39.99) | |
|---|---|---|---|
| Price | Free | €90 | €39.99 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.
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
Generations climb toward the real sitting. Work them in order; each OMPT-E set uses entirely different questions.
Not ready to buy?
The free OMPT-E mini-mock is a tenth of the paper at its real pace, scored in your browser. Sit that first; it tells you which generation to start on.
No. The OMPT-E generation 1 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.
Yes. After a single purchase of €39.99 the OMPT-E generation 1 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 2 gives new questions.
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.
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.
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.
No. OMPT-E generation 1 is the foundation tier, 3 rungs below generation 4, which is written at the level omptest.org describes for the real OMPT-E. This one shows whether the gap is algebra or statistics.
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.
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.