OMPT-B full mock exam, generation 4: 64 questions in 150 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 64 questions unlock with purchase
The full set runs in chapter order under the real 150-minute clock, graded instantly, with a worked solution behind every question, including the ones you got right.
OMPT-B exam format this mock reproduces: 64 questions in 150 minutes
This OMPT-B paper follows the format below: 64 typed answers, 150 minutes, ten chapters in the syllabus order that ends with trigonometry and integration. The official rows are read from omptest.org; the last two describe the paper itself.
Item
OMPT-B
Source
Questions
64, all typed answers
omptest.org
Time
150 minutes, timer starts only at Start
omptest.org
Pace
2.3 minutes per question
omptest.org
Chapters
10, asked in syllabus order
omptest.org
Answer field
Final answer; a note with working is optional and can earn partial credit.
omptest.org
Answer form
Exact: fractions, roots and powers unless a decimal is requested
omptest.org
Calculator
Only the basic on-screen calculator shared by OMPT-A, B, C and F; 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
64 original questions, 150-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-B syllabus, the pricing page and the OMPT knowledge base at omptest.org, checked 21 September 2026. The OMPT-B hub lists every chapter with its topic count.
What an OMPT-B generation 4 sitting is like
Generation 4 is written at the difficulty of the OMPT-B sitting as omptest.org describes it: mainly knowledge-level items, similar in difficulty to the official practice material. The 64 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-B generation 4
The chapter quota is identical across the four OMPT-B generations, matching the fixed chapter order of the real sitting. The generations differ in how many steps a question chains: a generation-1 integration item is a single power rule, a generation-4 item is an area between two curves with the intersections to find first.
Official weights are from the OMPT-B 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-B paper
The real OMPT-B lets you add a note, but the answer field is still graded first, and a note cannot rescue an answer in the wrong form. This paper grades the answer field only.
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-B uses the basic on-screen calculator shared by OMPT-A, B, C and F. What it can and cannot do is in our note on OMPT calculator rules.
Three worked OMPT-B examples in the answer form this paper grades
None of these three is in the paper; they show the exact-form answer the OMPT-B field expects and the entry error each question invites. Three more, from other chapters, are on the free OMPT-B mock page, and a longer set is in our sample questions walkthrough.
OMPT-B example 1 · Trigonometry
Solve 2cos x = √3 for 0 ≤ x ≤ 2π.
Divide by 2: cos x = √3/2.
The reference angle with cosine √3/2 is π/6. Cosine is positive in the first and fourth quadrants.
So x = π/6 or x = 2π − π/6 = 11π/6.
Answer: π/6 and 11π/6
Entry: Enter pi/6, 11pi/6. Giving only π/6 misses the second solution and the item is marked incomplete; 30° is the wrong unit because the interval is in radians.
OMPT-B example 2 · Integration
Evaluate the integral of cos(2x) from x = 0 to x = π/4.
An antiderivative of cos(2x) is sin(2x)/2, because the chain rule brings out a factor 2 that has to be divided away.
At the upper limit: sin(π/2)/2 = 1/2. At the lower limit: sin(0)/2 = 0.
1/2 − 0 = 1/2.
Answer: 1/2
Entry: Type 1/2. Forgetting to divide by 2 gives 1; that is the error the grader sees most on any integral with an inner coefficient.
OMPT-B example 3 · Integration
Find the area enclosed between y = 2x and y = x².
Intersections: 2x = x² gives x(x − 2) = 0, so x = 0 and x = 2. Between them 2x is above x².
Area = ∫ from 0 to 2 of (2x − x²) dx = [x² − x³/3] from 0 to 2.
4 − 8/3 = 4/3.
Answer: 4/3
Entry: Type 4/3. Subtracting the curves the other way round gives −4/3; an area is positive, and the field marks the sign.
How OMPT-B generation 4 compares with the official OMPT-B
Copied from the official OMPT-B: 64 questions, 150 minutes, chapter order, exact-form typed answers, no negative marking and no formula sheet. Not copied: the Sowiso engine that recognises equivalent expressions, the optional note field that omptest.org's graders read for partial credit, ProctorU, randomised values and the manual check. omptest.org groups OMPT-B with OMPT-A as tests at the level of its practice material; our generation-4 OMPT-B paper is written to that level.
Free OMPT-B mock
Official OMPT-B mock
OMPT-B generation 4 (€49.99)
Price
Free
€90
€49.99 once, VAT included
Questions
6, a tenth of the paper
64
64
Clock
14 minutes
150 minutes
150 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
Optional note read for partial credit
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-B 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-B score report shows after you submit
Submit and the OMPT-B paper is graded at once, all 64 questions, each with a worked solution whether you got it right or not. The report ranks the ten chapters weakest first, which on OMPT-B usually means trigonometry or integration. The paper stays in your account for re-sitting under the clock, 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-B generations
Generations climb toward the real sitting. Work them in order; each OMPT-B set uses entirely different questions.
No. The OMPT-B generation 4 paper contains original questions written to the ten-chapter OMPT-B syllabus published by omptest.org. Real OMPT-B items are never released; the official practice material and mock are the only sources of omptest.org's own questions.
›Can I re-sit OMPT-B generation 4?
Yes. One purchase of €49.99 keeps the OMPT-B generation 4 paper in your account, and you can re-sit it under the 150-minute clock as often as you like. The 64 questions stay the same, so a re-sit checks fixes rather than predicting a fresh score.
›Can I sit the OMPT-B paper on a phone?
The OMPT-B paper works in a phone browser, but 64 exact-form answers in 150 minutes is a lot of typing on a small keyboard. The real OMPT-B requires a computer with a webcam and the Guardian browser, so a laptop sitting is the better rehearsal.
›How is the OMPT-B paper graded?
The OMPT-B paper is graded instantly against accepted exact-form answers. The normaliser forgives notation (pi and π, sqrt and √, a leading y =) and never mathematics; 15+3x is not 3x+15. The real OMPT-B is checked by software and then by omptest.org's graders within eight business days, with partial credit possible from your note.
›What if an OMPT-B question is wrong?
Use the report button under the OMPT-B question. Reports are checked against the script that re-derives every generated answer, the paper is corrected, and you get a reply. Curated questions were re-derived by hand before release.
›Is OMPT-B generation 4 at real-test difficulty?
Generation 4 is the OMPT-B paper written at the difficulty omptest.org describes for the sitting: knowledge-level items at practice-material level, with the calculus and trigonometry chained into multi-step questions. It is the dress rehearsal, not a copy.
›Does access to the OMPT-B paper expire?
No. A purchased OMPT-B paper stays in your account with no end date. omptest.org's practice material, mock and attempts all expire with the class year at the end of September, so ours is the one that survives a deferred application.
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-B 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.