200+ Free CAS MAS-I Practice Questions

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Question 1

Score: 0/0

Claims arrive according to a Poisson process with rate 3 per hour. What is the probability of no claims in the next 2 hours?

exp(-6)

1 - exp(-6)

3 exp(-6)

6 exp(-6)

to track

2026 Statistics

Key Facts: CAS MAS-I Exam

Current Practice-Exam Items

Official MAS practice exams

4.5h

Appointment Time

4-hour exam plus break/tutorial

$550

Exam Fee

CAS syllabus fee schedule

4x/year

2026 Test Windows

Jan/Feb, Apr/May, Jul/Aug, Oct/Nov

6-10

Passing Score Range

CAS score scale

45-55%

Largest Domain

Extended Linear Models

MAS-I is currently a three-domain CAS exam with the heaviest emphasis on Extended Linear Models (45-55%), plus Probability Models and Statistics at 20-30% each. CAS uses a 0-10 score scale, with 6-10 meaning pass, and no longer publishes numeric pass marks. The latest official fee schedule lists MAS-I at $550, and starting in 2026 the exam is offered four times per year: January/February, April/May, July/August, and October/November.

Sample CAS MAS-I Practice Questions

Try these sample questions to test your CAS MAS-I exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 200+ question experience with AI tutoring.

1Claims arrive according to a Poisson process with rate 3 per hour. What is the probability of no claims in the next 2 hours?

A.exp(-6)

B.1 - exp(-6)

C.3 exp(-6)

D.6 exp(-6)

Explanation: For a Poisson process with rate 3 per hour, the count in 2 hours is Poisson with mean 6. The probability of zero events is therefore exp(-6).

2Which statement is true for a homogeneous Poisson process?

A.Counts on disjoint time intervals are independent.

B.Interarrival times are deterministic.

C.The process can have at most one event in total.

D.Expected counts decrease as the interval length increases.

Explanation: A defining property of a homogeneous Poisson process is independent increments on disjoint intervals. The interarrival times are random and exponential, not deterministic.

3For a homogeneous Poisson process, suppose exactly one event occurs in the interval [0,4]. What is the probability that this event occurs before time 1?

A.1/4

B.1/2

C.3/4

D.It depends on the process rate.

Explanation: Conditional on exactly one event in [0,4], the event time is uniformly distributed on that interval. A uniform point on [0,4] falls in [0,1] with probability 1/4.

4A loss amount X is uniformly distributed on [0,100]. What is the limited expected value E[min(X,60)]?

A.30

B.36

C.42

D.60

Explanation: For a nonnegative loss, the limited expected value is the integral of the survival function up to the limit. Here that is integral from 0 to 60 of (1 - x/100) dx, which equals 42.

5A lifetime has constant hazard rate 0.02. Which survival function is correct?

A.S(t) = exp(-0.02 t)

B.S(t) = exp(-0.02 / t)

C.S(t) = 1 - 0.02 t

D.S(t) = 0.02 exp(-0.02 t)

Explanation: A constant hazard implies an exponential survival model. Integrating the hazard gives cumulative hazard 0.02 t, so survival is exp(-0.02 t).

6A lifetime has survival function S(t) = exp(-0.02 t). What is the median lifetime?

A.20.0

B.34.7

C.50.0

D.69.3

Explanation: The median m satisfies S(m) = 0.5. Solving exp(-0.02 m) = 0.5 gives m = ln(2) / 0.02, which is approximately 34.7.

7For 0 <= x <= 100, suppose the survival function is S(x) = ((100 - x) / 100)^2. What is the hazard rate at age x?

A.1 / (100 - x)

B.2 / (100 - x)

C.2 x / 10000

D.0.02

Explanation: The hazard is mu(x) = -S'(x) / S(x). Differentiating gives S'(x) = -2(100 - x)/10000, so the ratio simplifies to 2 / (100 - x).

8Two independent lives have one-year survival probabilities 0.96 and 0.97. What is the probability that the joint-life status survives one year?

A.0.9312

B.0.9400

C.0.0300

D.0.0676

Explanation: The joint-life status survives if both lives survive. Under independence, the probability is 0.96 times 0.97, which equals 0.9312.

9Two independent lives have constant forces of mortality 0.02 and 0.03. If the force of interest is 0.04, what is the actuarial present value of a continuous whole life insurance paying 1 at the first death?

A.0.4444

B.0.5556

C.0.8000

D.1.2500

Explanation: For independent exponential lifetimes, the time to first death is exponential with rate 0.02 + 0.03 = 0.05. The present value of a continuous whole life insurance is then 0.05 / (0.05 + 0.04) = 0.5556. This uses the standard formula for a discounted exponential waiting time.

10For a fully discrete whole life insurance and whole life annuity-due on the same life, i = 0.05 and a_double_dot_x = 12. What is A_x?

A.0.4000

B.0.4286

C.0.5714

D.0.6000

Explanation: The standard identity is A_x + d a_double_dot_x = 1, where d = i / (1 + i). Here d = 0.05 / 1.05 = 0.047619, so A_x = 1 - 0.047619 times 12 = 0.4286.

About the CAS MAS-I Exam

MAS-I is the first CAS modern statistics exam on the ACAS pathway. The current content outline is built around three domains: Probability Models (Stochastic Processes and Survival Models), Statistics, and Extended Linear Models. It tests both calculation skill and model judgment, especially around GLM selection, diagnostics, and actuarial-style frequency/severity modeling.

Assessment

About 45 questions on current CAS MAS practice exams; actual CBT sittings may vary slightly and can include multiple-choice, multiple-selection, point-and-click, fill-in-the-blank, and matching items

Time Limit

4 hours exam time within a 4.5-hour Pearson VUE appointment

Passing Score

Pass mark varies; candidates who pass receive a 6-10 on the CAS scale

Exam Fee

$550 (Casualty Actuarial Society (CAS) / Pearson VUE)

CAS MAS-I Exam Content Outline

20-30%

Probability Models

Poisson processes, limited expected value, survival models, hazard rates, joint life models, whole life insurance, and annuities

20-30%

Statistics

Sampling distributions, hypothesis testing, sufficient statistics, MLE, estimator properties, order statistics, aggregate claims, censoring, and truncation

45-55%

Extended Linear Models

GLM family and link selection, parameter interpretation, offsets, diagnostics, model comparison, exploratory plots, regression, classification, regularization, and tree-based methods

How to Pass the CAS MAS-I Exam

What You Need to Know

Passing score: Pass mark varies; candidates who pass receive a 6-10 on the CAS scale
Assessment: About 45 questions on current CAS MAS practice exams; actual CBT sittings may vary slightly and can include multiple-choice, multiple-selection, point-and-click, fill-in-the-blank, and matching items
Time limit: 4 hours exam time within a 4.5-hour Pearson VUE appointment
Exam fee: $550

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

CAS MAS-I Study Tips from Top Performers

1Memorize the core Poisson-process, survival, and actuarial present-value identities so Domain A questions become quick points

2Drill MLE, sufficient statistics, hypothesis tests, and censoring/truncation adjustments until you can recognize the right setup immediately

3Spend the most time on Domain C because it carries roughly half the exam and rewards model-selection judgment rather than rote memorization

4Practice reading coefficient tables, ANOVA-style output, residual plots, QQ plots, and exploratory graphs without relying on software

5Use timed mixed sets because MAS-I requires switching rapidly between actuarial formulas, statistical inference, and model interpretation

6Review every miss by asking what assumption, model choice, or diagnostic clue should have changed your answer

Frequently Asked Questions

How many questions are on MAS-I?

CAS's current MAS practice exams use 45 questions and are designed to mirror the real exam experience. The actual MAS-I administration is a 4-hour exam within a 4.5-hour Pearson VUE appointment, and CAS notes that total item counts can vary slightly by sitting.

What score do you need to pass MAS-I?

CAS reports MAS-I results on a 0-10 scale. A passing result is any score from 6 to 10, while failing results are reported from 0 to 5. CAS no longer publishes the underlying numeric pass mark.

What is tested on the current MAS-I outline?

The current outline has three domains: Probability Models (20-30%), Statistics (20-30%), and Extended Linear Models (45-55%). Domain C is the largest section and includes GLM setup, model evaluation, diagnostic plots, offsets, interactions, and statistical-learning-style model interpretation.

What changed for MAS-I in 2026?

The big operational change is frequency: starting in 2026, MAS-I is administered four times per year instead of fewer annual windows. CAS's syllabus/content-outline updates page also shows no MAS-I source-material changes from the January/February 2026 administration to the April/May 2026 administration.

What item types can appear on MAS-I?

The current CAS MAS-I content outline lists multiple choice, multiple selection, point and click, fill in the blank, and matching as possible CBT item types. Even when you practice with standard multiple-choice questions, you should still be comfortable interpreting tables, plots, and model output quickly.

What prior knowledge does CAS assume before MAS-I?

In the Syllabus of Basic Education, CAS states that MAS-I assumes prior knowledge from Exam 1 and Exam 2. That means probability distributions, expectation, interest theory, and core actuarial mathematics should already be comfortable before you try to move fast through MAS-I-style modeling questions.

How should I study for MAS-I efficiently?

Build your plan around the weightings: lock down Probability Models and Statistics so you can bank routine points, then spend most of your time on Extended Linear Models. Work timed problem sets with tables and plots, and practice explaining why one model, link, or diagnostic conclusion is better than another instead of memorizing formulas in isolation.