California Subject Examinations for Teachers (CSET) — Questions and Answers

Question 1: Which scheduling technique uses 'Early Start,' 'Late Start,' 'Early Finish,' and 'Late Finish' dates to determine schedule flexibility?

Gantt Chart Analysis
Critical Path Method (CPM) (Correct answer)
Agile Sprint Planning
Program Evaluation and Review Technique (PERT)

Correct answer: Critical Path Method (CPM)

CPM calculates these four dates for each activity to identify float and determine the critical path.

Question 2: In a normal distribution, approximately what percentage of data falls within two standard deviations of the mean?

68%
95% (Correct answer)
50%
99.7%

Correct answer: 95%

Approximately 95% of data in a normal distribution falls within two standard deviations of the mean, per the empirical rule.

Question 3: Which type of project dependency means Task B cannot start until Task A has started?

Start-to-Finish (SF)
Finish-to-Finish (FF)
Start-to-Start (SS) (Correct answer)
Finish-to-Start (FS)

Correct answer: Start-to-Start (SS)

A Start-to-Start dependency requires the predecessor task to begin before the successor can begin.

Question 4: Which agreement, signed after World War I, imposed harsh reparations on Germany and is often cited as a contributing factor to World War II?

The Locarno Treaties
The Congress of Vienna
The Kellogg-Briand Pact
The Treaty of Versailles (Correct answer)

Correct answer: The Treaty of Versailles

The Treaty of Versailles (1919) blamed Germany for World War I, imposed massive reparations and territorial losses, and created economic and political instability that enabled Hitler's rise.

Question 5: If f(x) = 3x² − 2x + 1, what is f(−2)?

21
17 (Correct answer)
13
9

Correct answer: 17

f(−2) = 3(4) − 2(−2) + 1 = 12 + 4 + 1 = 17.

Question 6: Which molecule acts as the final electron acceptor in aerobic cellular respiration?

Carbon dioxide
Oxygen (Correct answer)
NAD+
ATP

Correct answer: Oxygen

Oxygen accepts electrons at the end of the electron transport chain, combining with hydrogen ions to form water.

Question 7: Title IX of the Education Amendments of 1972 prohibits:

Racial discrimination in federally funded education programs
Age discrimination against students over 21
Sex discrimination in any education program or activity receiving federal financial assistance (Correct answer)
Language discrimination against English-language learners

Correct answer: Sex discrimination in any education program or activity receiving federal financial assistance

Title IX bans sex-based discrimination in federally funded education programs, covering academics, athletics, hiring, and sexual harassment.

Question 8: In the context of information security risk management, what does the term 'vulnerability' refer to?

The likelihood that a threat will occur
The potential damage caused by a threat
A safeguard implemented to reduce risk
A weakness that can be exploited by a threat (Correct answer)

Correct answer: A weakness that can be exploited by a threat

A vulnerability is a weakness or gap in a system's defenses that a threat can exploit to cause harm.

Question 9: The 'three branches of government' in the U.S. system reflect the principle of:

Separation of powers (Correct answer)
Popular sovereignty
Federalism
Majority rule

Correct answer: Separation of powers

Separation of powers divides government authority among legislative, executive, and judicial branches to prevent any single branch from becoming too powerful.

Question 10: What is the slope of a line perpendicular to y = (2/3)x + 5?

−3/2 (Correct answer)
3/2
−2/3
2/3

Correct answer: −3/2

Perpendicular lines have slopes that are negative reciprocals; the negative reciprocal of 2/3 is −3/2.

Question 11: The concept of 'manifest destiny' in 19th-century America primarily referred to the belief that:

American expansion westward to the Pacific was divinely ordained (Correct answer)
Native Americans should be assimilated into American culture
The U.S. should remain isolated from world affairs
Democracy should spread to all nations by force

Correct answer: American expansion westward to the Pacific was divinely ordained

Manifest destiny was the 19th-century doctrine that U.S. territorial expansion from coast to coast was both justified and inevitable.

Question 12: Which of the following sentences contains a dangling modifier?

Running quickly, she caught the bus.
Having finished the exam, the classroom was quiet. (Correct answer)
Confused by the directions, she asked for help.
Exhausted from practice, the athlete rested.

Correct answer: Having finished the exam, the classroom was quiet.

In 'Having finished the exam, the classroom was quiet,' the modifier implies the classroom finished the exam, which is illogical—a dangling modifier.

Question 13: The El Niño phenomenon is characterized by which of the following?

Weakening of trade winds and anomalous warming of central and eastern Pacific waters (Correct answer)
Increased volcanic activity along the Pacific Ring of Fire
Strengthening of trade winds and cooling of the eastern Pacific Ocean
Unusually cold sea surface temperatures in the central Pacific

Correct answer: Weakening of trade winds and anomalous warming of central and eastern Pacific waters

El Niño involves weakened trade winds and anomalous warming of central and eastern Pacific sea surface temperatures, disrupting precipitation and weather patterns globally.

Question 14: Which estimating technique uses historical data from a similar past project to estimate the current project's duration or cost?

Three-point estimating
Analogous estimating (Correct answer)
Bottom-up estimating
Parametric estimating

Correct answer: Analogous estimating

Analogous estimating leverages actual duration or cost data from a similar previous project as the basis for the current estimate.

Question 15: What does the Hertzsprung-Russell (H-R) diagram plot?

Stellar luminosity versus surface temperature (Correct answer)
Timeline of stellar formation in the Milky Way
Positions of stars within a constellation
Distances of stars from Earth versus their mass

Correct answer: Stellar luminosity versus surface temperature

The H-R diagram plots stars according to their luminosity on the vertical axis and surface temperature on the horizontal axis, revealing patterns in stellar classification and evolution.

Question 16: According to current scientific understanding, what is the approximate age of the universe?

13.8 billion years (Correct answer)
4.5 trillion years
100 billion years
4.5 billion years

Correct answer: 13.8 billion years

Measurements of cosmic microwave background radiation and the universe's expansion rate indicate an age of approximately 13.8 billion years since the Big Bang.

Question 17: Which of the following is the prime factorization of 360?

2³ × 3² × 5 (Correct answer)
2² × 3³ × 5
2 × 3² × 5²
2³ × 3 × 5²

Correct answer: 2³ × 3² × 5

360 = 8 × 45 = 2³ × 3² × 5.

Question 18: Which of the following is an example of the associative property of addition?

a + 0 = a
(a + b) + c = a + (b + c) (Correct answer)
a(b + c) = ab + ac
a + b = b + a

Correct answer: (a + b) + c = a + (b + c)

The associative property states that grouping of addends does not change the sum: (a + b) + c = a + (b + c).

Question 19: Which number system includes all integers, fractions, and irrational numbers?

Real numbers (Correct answer)
Whole numbers
Rational numbers
Natural numbers

Correct answer: Real numbers

The real number system encompasses all rational numbers (integers, fractions) and irrational numbers.

Question 20: Which type of rock forms from the cooling and solidification of magma or lava?

Clastic rock
Igneous rock (Correct answer)
Sedimentary rock
Metamorphic rock

Correct answer: Igneous rock

Igneous rock forms when magma (underground) or lava (at the surface) cools and crystallizes; the name derives from the Latin word for fire.

Question 21: What primarily drives the formation of trade winds in the tropics?

Lunar gravitational pull on the atmosphere
Volcanic outgassing and atmospheric pressure changes
Ocean currents and tidal gravitational forces
The Coriolis effect combined with equator-to-pole temperature differences (Correct answer)

Correct answer: The Coriolis effect combined with equator-to-pole temperature differences

Trade winds result from the Coriolis effect deflecting air that flows from subtropical high-pressure zones toward the low-pressure equatorial belt.

Question 22: A parent plant with genotype Aa is self-pollinated. What fraction of offspring will be homozygous?

3/4
All offspring
1/2 (Correct answer)
1/4

Correct answer: 1/2

A cross of Aa × Aa yields 1/4 AA, 1/2 Aa, 1/4 aa, so 1/2 of offspring are homozygous (AA or aa).

Question 23: Which of the following best describes 'categorical funding' in K-12 education finance?

Local property tax revenue used for general operations
Federal impact aid for federally connected students
Funding designated for a specific program or population (Correct answer)
Unrestricted state aid distributed per pupil

Correct answer: Funding designated for a specific program or population

Categorical funding is restricted to specific programs or student populations, such as special education or English learner services.

Question 24: Which risk analysis technique uses optimistic, pessimistic, and most likely estimates to model uncertainty in project timelines?

PERT analysis (Correct answer)
Delphi technique
Fault tree analysis
Monte Carlo simulation

Correct answer: PERT analysis

PERT (Program Evaluation and Review Technique) uses three-point estimates to calculate expected durations under uncertainty.

Question 25: Which of the following four types of cells contains the most mitochondria?

Bone
Skin
Heart (Correct answer)
Eye

Correct answer: Heart

Heart cells have the most mitochondria of the four cell types listed.

Question 26: During an IEP meeting, a parent becomes hostile and demands the teacher change a student's placement immediately. The teacher should:

Agree to avoid conflict and schedule a follow-up later
Defer entirely to the special education coordinator
Refuse to continue the meeting and reschedule
Explain that IEP decisions require the full team's consensus and legal procedures (Correct answer)

Correct answer: Explain that IEP decisions require the full team's consensus and legal procedures

IEP decisions are made collaboratively by the full team following IDEA procedures, not unilaterally by any one party.

Question 27: A teacher writes the equation y = mx + b on the board. What does 'b' represent?

The slope of the line
The rate of change
The x-intercept
The y-intercept (Correct answer)

Correct answer: The y-intercept

In slope-intercept form y = mx + b, 'b' is the y-intercept, the point where the line crosses the y-axis.

Question 28: The Emancipation Proclamation of 1863 declared the freedom of enslaved people in which states?

Confederate states in rebellion (Correct answer)
All Southern states including border states
Only border states
All states in the Union

Correct answer: Confederate states in rebellion

The Emancipation Proclamation applied only to enslaved people in Confederate states actively in rebellion, not border states or areas under Union control.

Question 29: Which hormone signals the kidneys to reabsorb more water, reducing urine output?

Cortisol
Aldosterone
Antidiuretic hormone (ADH) (Correct answer)
Glucagon

Correct answer: Antidiuretic hormone (ADH)

ADH (vasopressin) acts on the collecting ducts of the kidney to increase water reabsorption.

Question 30: What is the least common multiple (LCM) of 12 and 18?

216
6
36 (Correct answer)
24

Correct answer: 36

LCM(12, 18) = (12 × 18) / GCD(12, 18) = 216 / 6 = 36.

California Subject Examinations for Teachers (CSET)

The CSET is a series of subject matter exams required for California teaching credentials, assessing educator competency across academic and professional domains including mathematics, sciences, and business education.

Questions

40 min

Time Limit

70%

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These practice questions were written with AI tools. They are not real exam questions. Exam facts are checked against the official sources listed below. Not reviewed by a subject-matter expert. Editorial policy

Sources & references

Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy

ctc.ca.gov — Score validity · verified Oct 2026
ctcexams.nesinc.com — Retake policy, test delivery, exam dates, fees, passing score, score release, test dates, time limit · verified Oct 2026