Free CAS MAS-I (Modern Actuarial Statistics I) Practice Questions
The entire CAS MAS-I question bank is free: 732 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.
Built by Jeffrey Ting, FSA, CFA, who passed thirteen of the hardest finance exams on the first attempt. The full question bank and worked solutions are free forever.
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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
You are given: - Constant force of mortality μ=0.04 - Force of interest δ=0.06
Calculate Aˉx, the actuarial present value of a continuous whole life insurance of 1 on life (x).
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Correct Answer: C
Solution
C is correct.
With constant force of mortality, the continuous whole life insurance APV is: Aˉx=∫0∞e−δtμe−μtdt=μ+δμ=0.04+0.060.04=0.100.04=0.40
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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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.
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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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720 practice questions with detailed solutions
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How many free MAS-I practice questions does FreeFellow have?
FreeFellow currently offers 720 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 720 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 a free exam prep library for actuarial (SOA & CAS), CFA, CFP, CPA, CAIA, GARP FRM, IRS Enrolled Agent, IMA CMA, and FINRA / NASAA securities licensing candidates. The entire question bank, written solutions, and lessons are free for every candidate, with no trial period and no credit card. Lessons include narrated audio, and 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.