(SCIENCE & MATHEMATICS) EXAM 2026/2027
| Complete Study Guide | Practice
Questions, Verified Answers & Detailed
Rationales
CSET MULTIPLE SUBJECTS SUBTEST II (SCIENCE & MATHEMATICS) EXAM
2026/2027
Complete Study Guide | Practice Questions, Verified Answers & Detailed
Rationales
DOCUMENT OVERVIEW
• This comprehensive study guide contains 200 practice questions organized across
all major domains of the CSET Subtest II exam (Physical Sciences, Life Sciences,
Earth Sciences, and Mathematics), each with verified correct answers and detailed
rationales to reinforce conceptual understanding.
• Use this material by working through all 200 questions in sequence, reviewing
rationales carefully for both correct and incorrect answers, and returning to
challenging topics to build mastery before your examination.
PRACTICE QUESTIONS
1. Which of the following best describes the relationship between velocity and
acceleration?
A) Velocity and acceleration are always equal in magnitude
B) Acceleration is the rate of change of velocity with respect to time
C) Velocity increases whenever acceleration is positive
D) Acceleration and velocity must always point in the same direction
E) Velocity is inversely proportional to acceleration
, CORRECT ANSWER: B) Acceleration is the rate of change of velocity with
respect to time
RATIONALE: Acceleration is defined as the rate at which an object's velocity changes
over time (a = Δv/Δt). This is a fundamental concept in kinematics. Options A, C, and
D represent common misconceptions—acceleration describes HOW velocity
changes, not that they are equal or must be in the same direction (deceleration
involves acceleration opposite to velocity direction). Option E incorrectly suggests
an inverse relationship. The correct answer precisely defines the relationship
between these two kinematic variables.
2. A 5 kg object rests on a frictionless horizontal surface. If a net force of 20 N
is applied horizontally, what is the acceleration of the object?
A) 2 m/s²
B) 4 m/s²
C) 5 m/s²
D) 10 m/s²
E) 25 m/s²
CORRECT ANSWER: B) 4 m/s²
RATIONALE: Using Newton's second law, F = ma, we can solve for acceleration: a =
F/m = 20 N / 5 kg = 4 m/s². This is a direct application of one of the most
fundamental equations in physics. Option A results from incorrect division. Options
C and D involve computational errors or misapplication of the formula. Option E
incorrectly multiplies the values. The correct answer demonstrates proper use of
Newton's second law.
3. An object is thrown vertically upward with an initial velocity of 30 m/s.
Ignoring air resistance and using g = 10 m/s², what is the maximum height
reached?
,A) 30 m
B) 45 m
C) 60 m
D) 75 m
E) 90 m
CORRECT ANSWER: B) 45 m
RATIONALE: At maximum height, the final velocity is zero. Using the kinematic
equation v² = u² - 2gs (negative because gravity opposes upward motion): 0 = (30)² -
2(10)s; 0 = 900 - 20s; s = 45 m. Alternatively, using h = u²/2g = 900/20 = 45 m. Option
A confuses velocity with height. Options C and D result from calculation errors.
Option E incorrectly applies the formula. The correct answer properly applies
kinematic equations for projectile motion.
4. Which of the following is an example of a non-renewable energy resource?
A) Solar energy
B) Wind energy
C) Hydroelectric energy
D) Natural gas
E) Geothermal energy
CORRECT ANSWER: D) Natural gas
RATIONALE: Natural gas is a fossil fuel formed over millions of years from
decomposed organic matter and is extracted at a rate much faster than it is
naturally replenished, making it non-renewable. Solar (A), wind (B), hydroelectric (C),
and geothermal (E) energy are renewable resources that are continuously
replenished by natural processes. Understanding the distinction between
renewable and non-renewable resources is crucial for environmental science and
energy education.
, 5. A ball is dropped from a height of 20 meters. How long does it take to hit
the ground? (Use g = 10 m/s²)
A) 1 second
B) 2 seconds
C) 3 seconds
D) 4 seconds
E) 5 seconds
CORRECT ANSWER: B) 2 seconds
RATIONALE: Using the equation h = ½gt², where h is height, g is acceleration due to
gravity, and t is time: 20 = ½(10)t²; 20 = 5t²; t² = 4; t = 2 seconds. This is a standard
free-fall problem using kinematic equations. Option A results from not accounting
for the ½ coefficient. Options C, D, and E represent incorrect calculations. The
correct answer demonstrates proper application of free-fall motion equations.
6. In a closed system, which of the following principles is always conserved?
A) Kinetic energy only
B) Momentum and energy
C) Velocity and acceleration
D) Force and mass
E) Speed and direction
CORRECT ANSWER: B) Momentum and energy
RATIONALE: In a closed, isolated system with no external forces, both momentum
and total mechanical energy (sum of kinetic and potential energy) are conserved
according to fundamental conservation laws in physics. Kinetic energy alone (A) can
change if potential energy changes. Velocity, acceleration, force, and mass (C, D) are
not conserved quantities. Speed and direction (E) refer to components of velocity,