OMPT-F full mock exam, generation 2: 21 problems in 180 minutes

OMPT-F exam format this mock reproduces: 21 problems in 180 minutes

This OMPT-F paper follows the format below: 21 long-form problems in 180 minutes across six chapters, with no numbers chapter and no trigonometry. Official rows are from omptest.org; the last two describe this paper and its limitation.

Official rows are read from the OMPT-F syllabus, the pricing page and the OMPT knowledge base at omptest.org, checked 21 September 2026. The OMPT-F hub lists every chapter with its topic count.

What an OMPT-F generation 2 sitting is like

Generation 2 keeps the even chapter spread of generation 1 but asks for two ideas per question instead of one: a quadratic that needs completing the square before it can be read, a derivative that needs a rewrite into powers first. The 21 questions and 180 minutes are unchanged.

This is the paper for the middle of your preparation, after the topic drills and before the exam-level sets. A score that drops from generation 1 to generation 2 is normal; a chapter that drops by more than the others is the chapter to go back to. The worked solutions are written in rubric steps; check your notes against them.

Chapter mix of OMPT-F generation 2

The chapter quota is the same across the four OMPT-F generations. What climbs is the depth: a generation-1 differentiation item asks for one derivative, a generation-4 item asks for the extreme values on an interval with the endpoints checked and the answer justified. Differentiation is 40% of the official OMPT-F score, so that is where the generations differ most.

Official weights are from the OMPT-F 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-F paper

On the real OMPT-F the note field earns partial credit step by step, and the final answer still has to be exact. This paper grades only the answer field, so keep paper beside you and mark your own method against the worked solution.

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-F 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-F examples in the answer form this paper grades

None of these three is in the paper; they show the exact-form answer the OMPT-F field expects and the entry error each question invites. Three more, from other chapters, are on the free OMPT-F mock page, and a longer set is in our sample questions walkthrough.

1. OMPT-F example 1 · Linear formulas and equations

   Solve the inequality (x − 1)/(x + 2) ≥ 2.

   1. Do not multiply by (x + 2), whose sign is unknown. Move 2 across: (x − 1)/(x + 2) − 2 ≥ 0.
   2. Combine: (x − 1 − 2x − 4)/(x + 2) ≥ 0, so (−x − 5)/(x + 2) ≥ 0, equivalently (x + 5)/(x + 2) ≤ 0.
   3. Sign table with the points −5 and −2: the quotient is negative or zero between them, and x = −2 is excluded because it makes the denominator zero.

   Answer: −5 ≤ x < −2, the interval [−5, −2)

   Entry: Type -5<=x<-2 or [-5,-2). Multiplying through by x + 2 gives x ≤ −5, wrong for every candidate who did it; the sign-table step is where the rubric marks are.

2. OMPT-F example 2 · Functions

   Give all asymptotes of f(x) = (3x² − 2)/(x² − 4).

   1. Vertical asymptotes where the denominator is zero and the numerator is not: x² − 4 = 0 gives x = −2 and x = 2; the numerator is 10 at both.
   2. Degrees of top and bottom are equal, so the horizontal asymptote is the ratio of leading coefficients: y = 3/1.
   3. There is no slant asymptote because the degrees match.

   Answer: x = −2, x = 2 and y = 3

   Entry: Enter all three; two out of three is marked incomplete. Writing y = 0 for the horizontal asymptote is the usual error, carried over from cases where the top has lower degree.

3. OMPT-F example 3 · Differentiation

   Find the equation of the tangent to f(x) = ln(x)/x at x = e.

   1. Quotient rule: f′(x) = [(1/x) × x − ln(x) × 1]/x² = (1 − ln x)/x².
   2. At x = e: ln e = 1, so f′(e) = 0. The tangent is horizontal.
   3. f(e) = 1/e, so the tangent is y = 1/e.

   Answer: y = 1/e

   Entry: Type 1/e, not 0.368. Candidates who compute f′(e) = 0 and then write the tangent as y = 0 confuse the gradient with the value; the note should show both numbers.

How OMPT-F generation 2 compares with the official OMPT-F

Copied from the official OMPT-F: 21 problems, 180 minutes, chapter order, exact-form typed answers, no negative marking and no formula sheet. Not copied: the note field that two omptest.org graders score with a step rubric (this paper grades the final answer only), the Sowiso engine, ProctorU and randomised values. omptest.org describes the real OMPT-F as open-ended and harder than its practice material; our generation-4 OMPT-F paper is written to that description.

Official prices from omptest.org/pricing, checked 21 September 2026: practice material €95, OMPT-F 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-F score report shows after you submit

Submit and the OMPT-F paper is graded instantly on the 21 final answers, each with a stepwise worked solution, and the six chapters ranked weakest first. Sit it in a single three-hour block. 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.

• Foundation

  Generation 1

  21 questions · €49.99

  Preview it free

• Near-exam

  Generation 3

  21 questions · €49.99

  View details

• Exam-level

  Generation 4

  21 questions · €59.99

  View details

OMPT-F generation 2 FAQ

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-F 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