Question bank
Original practice questions for SOA Exam P and Exam FM, drillable by topic, each with a full worked solution and a machine-verified answer.
400 questions in total - 220 for Exam P and 180 for Exam FM. Every one of them was written for this site; not a single stem, option or solution is taken from an SOA sample exam. 330 of them state a numeric answer, and every one of those is recomputed from this site’s own mathematics by the verification suite that runs with this site’s tests.
Free without an account: today’s 6-question mixed round and 46 fully solved sample questions, 2 on every topic. The per-topic drills below are the paid part.
Exam P - Probability
Set theory and probability axioms
14 questions
Combinatorics and counting
16 questions
Conditional probability and independence
18 questions
Bayes' theorem and the law of total probability
16 questions
Random variables and distribution functions
14 questions
Discrete distributions
32 questions
Continuous distributions
30 questions
Expectation, variance and moments
18 questions
Moment generating functions
12 questions
Joint, marginal and conditional distributions
18 questions
Transformations and order statistics
12 questions
Deductibles, limits and risk measures
12 questions
Sums, the CLT and normal approximation
8 questions
Exam FM - Financial Mathematics
Measurement of interest
22 questions
Level annuities
30 questions
Varying annuities and perpetuities
20 questions
Loan amortisation and sinking funds
18 questions
Bond pricing, premium and discount
22 questions
Cash flow analysis, NPV and IRR
14 questions
Spot rates, forward rates and the yield curve
14 questions
Duration and convexity
18 questions
Immunisation and asset-liability matching
12 questions
Interest rate swaps and derivatives
10 questions