Syllabus weights · study order
Exam P study guide
Plan General, Univariate, and Multivariate study inside the official syllabus ranges, then check yourself on unseen problems.
Official references · independent solutions
Read all 718 independent solutions free in HTML. Find the number in your official SOA sample-question PDF, then open the matching worked solution below. Each solution explains the calculation and includes an independent check and an original practice variant. The question text stays in the official PDF.
Exam P or FM first? Compare the subjects and prerequisites.
Starting your preparation? Use the Exam P study guide for topic order, study materials and practice.
Need unseen questions? Compare 180 original Exam P practice problems across timed exams and topic workbooks.
Questions, solutions, and extra practice
The official PDFs supply the question wording and SOA solutions. ActuaryProof adds a free independent worked solution for every active number. The paid PDFs are optional study formats, not the official source.
| Study task | Open this resource | What you get |
|---|---|---|
| Read the current question wording | Official SOA Exam P sample-question PDF | The current source questions (updated August 2026: question 123 deleted, 737 added) and stable reference numbers. Deleted numbers remain gaps. |
| Check the official answer and SOA method | Official SOA Exam P sample-solution PDF | The official answer layer for the same numbered set. |
| Understand one sample question free | All 718 ActuaryProof HTML solutions | An independent setup, calculation, keyed-answer check, wrong-choice notes, and one original variant for every active reference. |
| Keep every worked reference in one searchable offline file | Probability Proof Manual · $49 | 3,108 pages with 718 worked references and 718 original variants. Official question wording is not reproduced. |
| Test transfer with questions you have not seen | Exam P practice exams and workbooks | 180 original problems across three timed exams and three topic workbooks, each with a complete worked sample before checkout. |
Start with the official question PDF, attempt the numbered question, and then open the matching free HTML solution. Buy an offline or original-practice PDF only when that format fills a separate study need.
The numbers match the official sample set retrieved 2026-10-06. Deleted numbers are omitted; the remaining questions are not renumbered.
Exam P study guides
These guides keep official facts separate from editorial study tools and expose the source arithmetic behind the current library.
Syllabus weights · study order
Plan General, Univariate, and Multivariate study inside the official syllabus ranges, then check yourself on unseen problems.
SOA results · exam windows
Candidates, pass rates, and passing marks from each official results release, with the next testing windows.
180 original problems · 6 PDFs
Compare three timed exams and three topic workbooks, with one complete problem visible on every product page.
Current official set
The official sample set retrieved 2026-10-06 contains 718 active questions numbered 1–737. 19 questions SOA has deleted are excluded. Every remaining question has a worked solution here.
Keep the official wording in its source document and use this library as the worked-answer layer.
Open the official sample-question PDF, find the same number, and commit to an answer before reading the solution.
Check the named model, event or comparison date, parameter convention, and the exact step that selects the answer letter.
Use the distractor notes to identify whether the miss came from modeling, timing, boundaries, units, or arithmetic.
Prove that the method transfers to new wording and parameters, then return to the topic hub for the next reference.
The Society of Actuaries also provides a free randomized online sample exam for P and FM using its existing sample-question pool.
Technique index
These curated guides connect formulas, recognition rules, typical errors, and verified solutions that use the same technique across different syllabus settings.
103 verified problems
Conditioning, total probability, and Bayes calculations organized around the denominator that defines the updated sample space.
83 verified problems
Waiting-time probabilities, parameter conversions, memorylessness, moments, and insurance-payment applications.
72 verified problems
Count probabilities, rate scaling, aggregation, thinning, and links between Poisson counts and waiting times.
62 verified problems
Standardization, inverse percentiles, linear combinations, normal approximations, and tail control.
57 verified problems
Second moments, transformations, sums, covariance terms, and conditional variance decompositions.
55 verified problems
Event independence, factorization, independent trials, and the consequences independence does—and does not—justify.
50 verified problems
Continuous and discrete uniform models, interval geometry, transformations, order statistics, and moments.
46 verified problems
Tail-integral proof, survival-function expectation, discrete tail sums, loss payments, linearity, and conditioning.
Syllabus index
Topic names and weight ranges come from the current official syllabus. Counts below include only pages that cleared the verification gate.
23–30%
192 verified solutions
44–50%
387 verified solutions
23–30%
140 verified solutions