Free CAS MAS-I (Modern Actuarial Statistics I) Practice Questions
The entire CAS MAS-I question bank is free: 445 practice questions on probability models, statistics, and extended linear models (GLMs) for property and casualty actuaries, including applied problems with data plots and statistical output. From FreeFellow, where 'free' is in the brand name. No trial, no signup to browse, no credit card.
733 Questions
3 Topics
3 Difficulty Levels
2026 Syllabus
AI-native · Pay less · Access more
Others charge $1,000+. FreeFellow gives you the 70% you need to pass for free.
The full question bank, written solutions, lessons, formula sheet, mixed practice, and readiness tracking for your MAS-I prep are free forever. No trial period, no credit card. Every lesson ships with AI-narrated audio, and every constructed-response item has a copy-to-AI prompt builder for your own ChatGPT or Claude. Become a Fellow ($59/qtr) only if you want mock exams, flashcards, analytics, AI essay grading, and a personalized study plan.
Everything You Need to Pass
The free tier covers what most candidates need to pass. Fellow ($59/qtr) adds the pacing tools.
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733+ Practice QuestionsFREE
Every question includes a detailed, step-by-step solution.
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Mixed PracticeFREE
Cross-topic sessions to keep recall sharp.
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Readiness TrackingFREE
Pass-probability estimate that sharpens with every session.
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Copy-to-AI Essay PromptsFREE
Structured prompts you paste into your own ChatGPT or Claude for self-graded essay feedback.
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Flashcards & Spaced RepetitionFELLOW
SM-2 review cards for long-term retention.
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Timed Mock ExamsFELLOW
Full-length practice exams weighted to the real blueprint.
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AI Grading for EssaysFELLOW
Instant AI-graded feedback on constructed-response essays using the official rubric.
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Performance AnalyticsFELLOW
Topic-by-topic mastery breakdown with difficulty mix.
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Personalized Study PlanFELLOW
Adapts to your exam date and weakest topics.
What's Free — and What Fellow Unlocks
The 70% of MAS-I prep you actually need to pass — questions, solutions, lessons, mixed practice, AI-narrated audio, copy-to-AI essay prompts — is free forever. The remaining 30% (mocks, flashcards, analytics, study plan, AI essay grading) unlocks when you become a Fellow. Use the free tier as long as you like.
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Free forever
$0 · no credit card
733 practice questions with detailed solutions
Copy-to-AI essay prompts for your own ChatGPT or Claude
Mixed practice sessions across all topics
Formula sheet and reference materials
Readiness tracking with pass-probability estimates
No paywalls on questions · no trial period · no credit card
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Fellow unlock
$59 / qtr · $149 / yr per track
Timed mock exams with weighted scoring
Spaced-repetition flashcards backed by memory science
Topic-level practice to drill weak areas
Performance analytics by topic and difficulty
AI grading for constructed-response essays vs the official rubric
Personalized study plan that adapts to your exam date
How We Compare Save 90%+
Per-exam pricing across the major prep providers. The FreeFellow core (questions, solutions, lessons) is free forever — the optional Fellow tier is $59 per quarter, roughly 1/20th of what traditional providers charge.
FreeFellow core free
$0 · Fellow $59/qtr
Coaching Actuaries
$200–$400/exam
Traditional providers bundle prep into a single up-front fee. FreeFellow keeps the question bank and lessons free forever and charges only for deeper study tools (mocks, flashcards, analytics). All numbers are competitor list prices as of 2026.
Sample Questions
Question 1
Easy
A 3-out-of-50 system is placed in series with a 48-out-of-50 system.
Calculate the number of minimal path sets.
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Correct Answer: B
Solution
B is correct.
For a k-out-of-n system, a minimal path set consists of exactly k components. For the series combination of a 3-out-of-50 and 48-out-of-50 system, a minimal path set must contain a path set from each subsystem.
The 3-out-of-50 system has (350)=19,600 minimal path sets. The 48-out-of-50 system has (4850)=(250)=1,225 minimal path sets.
For the series system, each minimal path set is the union of one from each. However, components may overlap. But since these are separate systems with separate components (100 components total), the number of minimal path sets is 19,600×1,225=24,010,000.
Question 2
Medium
A Poisson GLM with a log link was fitted to model auto insurance claim counts. The deviance residual plot is shown below. Based on this plot, which issue is most clearly indicated?
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Correct Answer: B
Solution
Choice B is correct.
The residual plot shows a clear funnel (megaphone) pattern: residuals near fitted value 2 are tightly clustered within ±0.3, but by fitted value 10 they spread to ±2.5. This increasing spread is the hallmark of heteroscedasticity — the variance of the response is not constant but grows with the mean. For a Poisson GLM, this suggests overdispersion (the actual variance exceeds what the Poisson model assumes). A quasi-Poisson or negative binomial model would be more appropriate.
Question 3
Hard
Determine which one of the following statements about Principal Component Regression (PCR) is FALSE.
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Correct Answer: C
Solution
C is correct.
Let us evaluate each statement:
A: TRUE. Standardizing predictors before PCA is recommended because PCA is sensitive to the scale of variables.
D: FALSE. PCR does NOT perform feature selection in the traditional sense. It selects principal components (linear combinations of all original features), but it does not select or exclude individual features. All original variables contribute to each principal component. Feature selection methods like LASSO actually zero out coefficients.
C: TRUE. This is a known limitation/assumption of PCR -- it assumes that the directions of maximum variance in the predictors are the directions most associated with the response.
(B): TRUE. PCR can reduce overfitting by using fewer principal components than original features, effectively reducing dimensionality.
E: TRUE. By definition, the first principal component is the direction of maximum variance in the data.
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Frequently Asked Questions
How many free MAS-I practice questions does FreeFellow have?
FreeFellow currently offers 733 free MAS-I practice questions across 3 topics, each with a detailed step-by-step solution. Questions span three difficulty levels and are aligned to the 2026 syllabus. The question bank is updated regularly.
What MAS-I topics are covered?
The questions cover 3 topics: Probability Models, Statistics, Extended Linear Models. Each topic page shows your progress and lets you filter by difficulty level. You can practice by topic to target your weak areas or take mixed-topic practice exams.
Is FreeFellow really free for MAS-I prep, or is there a catch?
No catch. The 70% of MAS-I prep you actually need to pass is free forever: the full question bank of 733 practice questions, detailed solutions on every question, mixed practice, the formula sheet, and readiness tracking. No trial period, no credit card. The remaining 30% (timed mock exams, flashcards with spaced repetition, performance analytics, and a personalized study plan) unlocks when you become a Fellow.
What does the $59 Fellow tier unlock for MAS-I?
Fellow ($59 per quarter or $149 per year, per track) unlocks four things on top of the free tier: timed mock exams with weighted scoring that match the real exam blueprint, spaced-repetition flashcards built on memory science from cognitive psychology, topic-level practice to drill weak areas, performance analytics broken down by topic and difficulty, and a personalized study plan that adapts to your exam date. Everything else — questions, solutions, lessons — stays free.
How does FreeFellow compare to Coaching Actuaries, ASM, or TIA on price?
Traditional MAS-I prep providers charge $200 to $3,500 for a single exam, paid upfront. FreeFellow keeps the question bank, written solutions, and lessons free forever. The optional Fellow tier is $59 per quarter (about 1/20th of what the big providers charge) and adds mock exams, flashcards, analytics, and a study plan. You can pass MAS-I entirely on the free tier.
How should I use FreeFellow to study for MAS-I?
Start with topic-based practice to identify weak areas. As your exam date approaches, switch to timed practice exams under realistic conditions. The free tier gives you everything you need to build mastery; if you want pacing tools (mock exams, analytics, a study plan) and long-term retention aids (spaced-repetition flashcards), become a Fellow.
What calculator is allowed on MAS-I?
The CAS permits the Texas Instruments TI-30XS MultiView on all exams. No other calculators are allowed.
What is the MAS-I exam format?
CAS Exam MAS-I is a 4-hour computer-based exam with multiple-choice questions covering probability models, statistics, and regression. It is administered at Prometric testing centers.
FreeFellow is an AI-native exam prep platform for actuarial (SOA & CAS), CFA, CFP, CPA, CAIA, GARP FRM, IRS Enrolled Agent, IMA CMA, and FINRA / NASAA securities licensing candidates — built around modern AI as a core capability rather than as a bolt-on. Every lesson ships with AI-narrated audio. Every constructed-response item has a copy-to-AI prompt builder so candidates can paste their answer into their own ChatGPT or Claude for self-graded feedback. Fellow members get instant AI grading on essays against the official rubric (currently CFA Level III, expanding to other essay-bearing sections).
The 70% you need to pass — question bank, written solutions, lessons, formula sheet, mixed practice, readiness tracking — is free forever, with no trial period and no credit card. Become a Fellow ($59/quarter or $149/year per track) to unlock mock exams, flashcards with spaced repetition, performance analytics, AI essay grading, and a personalized study plan.