Free mini-mock
Free OMPT-E mock exam: 4 timed questions
Four questions in 12 minutes, one tenth of the real OMPT-E, question for question and minute for minute (3 per question). Scored locally in your browser.
Original questions, written by OMPT Practice. Official figures last verified 21 September 2026.
Question 1 · Descriptive statistics
Find the mean of 8, 11, 12, 9.
Question 2 · Combinatorics
A code consists of 2 symbols, each chosen from 7 available symbols, and repeats are allowed. How many codes are possible?
Question 3 · Random variables
A fair coin is tossed. You win €7 on tails and €11 on heads. What is the expected winning in euros?
Question 4 · Probability distributions
X is equally likely to be any integer from 1 to 12. Find P(X ≤ 2) as a fraction.
0 of 4 answered · unanswered questions count as wrong
What this OMPT-E mock covers
The four free OMPT-E questions come from the paper's second half, where the statistics lives: one on functions, then descriptive statistics, probability and probability distributions. Those three statistics chapters plus combinatorics and random variables are half the official OMPT-E score, and they are the material most candidates meet for the first time.
| Question | Chapter | Official weight | Drill |
|---|---|---|---|
| 1 | Descriptive statistics | 10% | OMPT-E descriptive statistics drill |
| 2 | Combinatorics | 10% | OMPT-E counting and combinatorics drill |
| 3 | Random variables | 10% | OMPT-E random variables drill |
| 4 | Probability distributions | 10% | OMPT-E random variables drill |
Official weights are from the OMPT-E learning-assessment page at omptest.org. The full chapter list with topic counts is on the OMPT-E hub.
OMPT-E format: 40 questions in 120 minutes
These OMPT-E figures set the pace and the answer field on this page. Source: the OMPT-E syllabus and pricing pages at omptest.org.
| 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 mock | 4 original questions from the generation-1 paper, 12 minutes, scored in the browser | this site |
| Report | Score, percentage, chapters ranked weakest first, worked solution per question | this site |
How to enter answers on the OMPT-E
OMPT-E grades the final answer only, and it has its own on-screen calculator, separate from the one the other business variants use. The exact-form rule is where OMPT-E candidates lose the most: a probability from dice or cards is a fraction, and the calculator will show you a decimal that is marked down.
- Exact form
- Unless the question asks for a decimal, the answer is a fraction, a root or a power. omptest.org's help centre says a decimal where exact form is expected can lose points, and the on-screen calculator does not convert decimals back.
- Fractions
- Type a slash with no spaces and reduce it: 23/14, not 1.64 and not 46/28. A mixed number is not expected.
- Roots
- Simplify the radicand and rationalise a denominator: 2√13 rather than √52, 2√5/25 rather than 2/(5√5). Type sqrt(13) or the √ symbol; both are read.
- Powers and constants
- Use the caret: x^2, 2^(x-1). Keep π and e as symbols (pi, e), never as 3.14 or 2.72.
- Several solutions
- Give every solution the interval allows, separated by commas, smallest first when the question says so. One of two solutions is marked incomplete.
- Intervals and inequalities
- Write the two-sided inequality or the interval: -1<x<4 or (-1,4). Round brackets exclude the endpoint, square brackets include it.
- Decimal point
- When a decimal is asked for, use a point, not a comma, and give the precision the question states.
- No units
- Type the number; the field knows the unit from the question. 20 and 20 m both pass here; 20 metres does not.
- Brackets
- Close every bracket. An unclosed bracket or a doubled operator is flagged orange on the real paper and goes to manual grading, where the grader guesses at your intent.
The calculator rules are covered in detail in our note on OMPT calculator rules; the OMPT-E uses the on-screen calculator omptest.org provides specifically for OMPT-E.
What the OMPT-E score panel shows
The panel scores four questions, gives a percentage and ranks the four chapters weakest first. Three minutes a question is the official OMPT-E pace, slower than OMPT-A, but probability questions eat time in the reading, so the timer on this page is a fair test. The chapter list will tell you whether your gap is algebra or statistics; on OMPT-E those need different plans.
Free OMPT-E mock vs the official mock vs our full papers
omptest.org's OMPT-E mock (€90) uses the real OMPT-E calculator and the real graders. Our free mock checks pace and the fraction habit. The generation papers give the full 40 questions and 120 minutes, instantly graded.
| Free OMPT-E mock | Official OMPT-E mock | Our OMPT-E generation papers | |
|---|---|---|---|
| Price | Free | €90 | €39.99 to €59.99 per paper, 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, mock €90, test attempt €240. Our four OMPT-E generation papers are listed on the plans page.
Three worked OMPT-E examples in exact-answer form
These three are not in the mock above; they show the answer form the OMPT-E field expects and the entry mistake each question invites. More are worked through in our sample questions walkthrough.
OMPT-E example 1 · Probability
Two fair dice are rolled. What is the probability that the numbers add up to 8?
- There are 6 × 6 = 36 equally likely outcomes.
- The pairs that sum to 8: (2,6), (3,5), (4,4), (5,3), (6,2). That is 5 outcomes.
- P = 5/36.
Answer: 5/36
Entry: Type 5/36. Counting (4,4) twice gives 6/36, and the decimal 0.139 is marked down because the question asks for a probability from a finite sample space, which is exact.
OMPT-E example 2 · Descriptive statistics
The values 4, 7, 7, 9, 13 have mean 8. A sixth value is added and the mean becomes 9. What is the sixth value?
- The five values total 5 × 8 = 40.
- Six values with mean 9 total 54.
- The sixth value is 54 − 40 = 14.
Answer: 14
Entry: Type 14. Working from the median (7) instead of the total is the usual wrong turn; the mean is the only average that can be recovered from a sum.
OMPT-E example 3 · Combinatorics
How many different committees of 3 people can be chosen from 8?
- Order does not matter inside a committee, so this is a combination: C(8, 3).
- C(8, 3) = 8!/(3! × 5!) = (8 × 7 × 6)/(3 × 2 × 1).
- 336/6 = 56.
Answer: 56
Entry: Type 56. Using the permutation 8 × 7 × 6 = 336 counts each committee six times over; the word committee is the signal that order is irrelevant.
After you score the OMPT-E mock
Four correct: sit generation 1 of the OMPT-E line under the full two hours. Forty questions at three minutes each is a test of concentration as much as maths.
Two or three correct: check whether the misses are statistics. The probability basics drill and the random variables drill are the two OMPT-E topics with the steepest first-time learning curve; the descriptive statistics drill is the quickest win.
One or none: if algebra is on the list, the quadratic equations drill comes first. If only statistics is, start with counting and combinatorics, because probability builds on it.
Drills by topic are on the topics page; the OMPT-E generation papers start at generation 1, which carries the 36 questions you have not seen.
Free OMPT-E mock FAQ
Is the OMPT-E mock free?
The OMPT-E mock is free, needs no account and can be sat repeatedly. It serves the four free preview questions of our generation-1 OMPT-E paper, one tenth of the 40-question sitting. That is the full free exposure for OMPT-E.
Is this the real OMPT-E test?
No. The real OMPT-E is 40 typed-answer questions in 120 minutes under ProctorU supervision, graded by omptest.org with its statistics calculator on screen. This page copies the three-minute pace, the exact-form answer field and the chapter order using original questions.
How long is the OMPT-E mock?
The free OMPT-E mock allows 12 minutes for four questions, the official three minutes each. The timer starts when you open the first question and does not pause, like the real clock after Start.
Can I retake the free OMPT-E mock?
Yes, the OMPT-E mock has no retake limit, but its four questions do not change. Use a retake to confirm a fix. The generation-1 OMPT-E paper gives 36 further questions across all twelve chapters.
Is the mock harder than the real OMPT-E?
The free OMPT-E mock is taken from the harder half of our generation-1 paper, the gentlest of four. omptest.org says the real OMPT-E is at the level of its practice material; our generation-4 OMPT-E paper is written there. Score well here and the next test is a full paper.
What does the OMPT-E score report show?
The OMPT-E score panel shows your result out of four, the percentage, the chapters ranked weakest first, and a worked solution for each question. The official certificate from omptest.org gives a score per topic after the real test; the panel is a free preview of that layout.
Does the OMPT-E have a statistics calculator?
The real OMPT-E has its own on-screen calculator, one of three types omptest.org provides and separate from the one used for OMPT-A, B, C and F. It shows decimals only and does not convert to fractions, so a probability question still needs a fraction typed by you.
More on the free sets for every variant 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.
- omptest.org: pricing (attempt, practice material, mock)
- omptest.org: practice material and mock tests
- omptest.org: calculator
- OMPT knowledge base: answer format and calculator use
- OMPT knowledge base: worked solution or final answer only
- OMPT knowledge base: how long until results
- OMPT knowledge base: formula sheet