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100+ Free PMA Entrance Exam Practice Questions

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2026 Statistics

Key Facts: PMA Entrance Exam Exam

150-200

Total Multiple-Choice Questions

PMAEE Review Guidelines

3 hours

Actual Written Test Duration

Office of Cadet Recruitment

0 PHP

Application & Examination Fee

Philippine Military Academy

17 - 22

Age Eligibility Range (Years)

PMA Cadet Admission Criteria

4 - 5%

Average Written Pass Rate

PMA Historical Reports

5'0"

Minimum Height Standard (152.4 cm)

PMA Selection Guidelines

The PMAEE is the free, highly competitive written entrance exam for the Philippine Military Academy. It consists of multiple-choice questions testing English, Mathematics, and Abstract Reasoning (SPMA). The exam takes approximately 3 hours to complete. Only the top 4-5% of candidates advance to the subsequent physical, medical, and psychological screening stages.

Sample PMA Entrance Exam Practice Questions

Try these sample questions to test your PMA Entrance Exam exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Solve for x in the linear equation: 3x - 7 = 14.
A.x = 5
B.x = 7
C.x = 9
D.x = 21
Explanation: To find the value of x, add 7 to both sides of the equation to get 3x = 21. Then, divide both sides by 3 to isolate x, giving x = 7. Basic linear equations are fundamental to the algebra portion of the PMAEE.
2Solve for y in the equation: 2(y + 3) = 3(y - 1).
A.y = 3
B.y = 6
C.y = 9
D.y = 12
Explanation: Distribute the coefficients to get 2y + 6 = 3y - 3. Subtract 2y from both sides to get 6 = y - 3, then add 3 to both sides to find y = 9. This verifies the algebraic equivalence under the distribution property.
3A triangle has interior angles in the ratio 2:3:5. What is the measure of the largest angle in degrees?
A.36 degrees
B.54 degrees
C.90 degrees
D.100 degrees
Explanation: The sum of angles in a triangle is always 180 degrees. Let the angles be 2x, 3x, and 5x. Their sum is 10x = 180, which means x = 18. The largest angle is 5x = 5(18) = 90 degrees.
4The sum of three consecutive integers is 72. What is the value of the largest of these three integers?
A.23
B.24
C.25
D.26
Explanation: Let the three consecutive integers be n, n+1, and n+2. Their sum is 3n + 3 = 72, which simplifies to 3n = 69, so n = 23. The largest of the three integers is n+2 = 23 + 2 = 25.
5If a vehicle travels at a constant speed of 60 kilometers per hour, how many minutes will it take to travel a distance of 15 kilometers?
A.10 minutes
B.15 minutes
C.20 minutes
D.25 minutes
Explanation: A speed of 60 km/h is equivalent to traveling 1 kilometer per minute. Therefore, to cover a distance of 15 kilometers, it will take exactly 15 minutes. This is computed as (15 km / 60 km/h) * 60 minutes/hour = 15 minutes.
6Find the area of a right-angled triangle with a hypotenuse of 13 cm and one leg of 5 cm.
A.30 square cm
B.60 square cm
C.65 square cm
D.120 square cm
Explanation: First, find the missing leg using the Pythagorean theorem: a^2 + b^2 = c^2. Here, 5^2 + b^2 = 13^2, which gives b^2 = 169 - 25 = 144, so b = 12 cm. The area of the triangle is (1/2) * base * height = (1/2) * 5 * 12 = 30 square cm.
7What is the slope of the straight line that passes through the coordinates (2, 5) and (4, 9)?
A.1/2
B.2
C.4
D.7/3
Explanation: The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1). Substituting the given coordinates: m = (9 - 5) / (4 - 2) = 4 / 2 = 2. Recognizing this formula helps solve coordinate geometry problems quickly on the PMAEE.
8A rectangle has a perimeter of 36 cm and its length is twice its width. What is the area of the rectangle?
A.18 square cm
B.36 square cm
C.72 square cm
D.144 square cm
Explanation: Let the width be w. The length is 2w. The perimeter is 2(length + width) = 2(2w + w) = 6w = 36 cm, which means w = 6 cm. The width is 6 cm, the length is 12 cm, and the area is length * width = 12 * 6 = 72 square cm.
9Solve the system of equations: x + y = 12 and x - y = 4. What is the value of x?
A.x = 4
B.x = 6
C.x = 8
D.x = 10
Explanation: Add the two equations together: (x + y) + (x - y) = 12 + 4, which simplifies to 2x = 16, so x = 8. Substituting x = 8 back into the first equation yields 8 + y = 12, so y = 4.
10If the probability of rain tomorrow is 0.25, what is the probability that it will not rain?
A.0.25
B.0.50
C.0.75
D.1.00
Explanation: The sum of the probabilities of all complementary events must equal 1. The probability of it not raining is 1 - P(rain) = 1 - 0.25 = 0.75.

About the PMA Entrance Exam Exam

The Philippine Military Academy Entrance Examination (PMAEE) is the highly competitive written exam that serves as the first step for admission into the premier military institution of the Philippines. Administered by the Office of Cadet Recruitment and Admission (OCRA), the test evaluates applicants in English, Mathematics, and Abstract Reasoning (SPMA). Successful candidates proceed to the physical, medical, and psychological examinations, and ultimately compete for a spot in the Cadet Corps of the Armed Forces of the Philippines.

Questions

150 scored questions

Time Limit

3 hours (180 minutes) of actual exam time

Passing Score

Competitive selection (determined relative to the applicant pool)

Exam Fee

No fee (completely free to apply and sit the exam) (Office of Cadet Recruitment and Admission (OCRA), Philippine Military Academy)

PMA Entrance Exam Exam Content Outline

~35%

Mathematics

Algebra (linear and quadratic equations, word problems, systems of equations) and Geometry (angles, polygons, triangles, coordinate geometry).

~35%

English

Grammar usage, vocabulary, synonyms, antonyms, composition rules, sentence structure, and reading comprehension passages.

~30%

Abstract Reasoning

SPMA components including verbal reasoning, numerical sequence completion, spatial visualization, pattern analysis, and logical reasoning puzzles.

How to Pass the PMA Entrance Exam Exam

What You Need to Know

  • Passing score: Competitive selection (determined relative to the applicant pool)
  • Exam length: 150 questions
  • Time limit: 3 hours (180 minutes) of actual exam time
  • Exam fee: No fee (completely free to apply and sit the exam)

Keys to Passing

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

PMA Entrance Exam Study Tips from Top Performers

1Focus on basic Algebra and Geometry. Review rules for solving systems of equations, area/perimeter calculations, and word problems, as calculators are not allowed.
2Build reading speed and vocabulary for the English section, and study core grammar rules such as subject-verb agreement and pronoun usage.
3Practice abstract patterns to spot visual rotation, addition or subtraction of lines, and grid pattern progression within seconds.
4Practice under timed mock conditions without a calculator to build the mental speed needed to solve 150+ questions in 3 hours.
5Keep physically active while preparing academically; the written exam is only the first phase, followed by rigorous physical fitness tests.

Frequently Asked Questions

What is the PMA Entrance Exam (PMAEE)?

The PMAEE is the written entrance examination administered by the Philippine Military Academy to select qualified candidates for cadet admission. It tests English, Mathematics, and Abstract Reasoning.

How much does it cost to take the PMAEE?

There is absolutely no fee. Applying for and sitting the PMAEE is completely free of charge at all official examination centers across the Philippines.

What are the eligibility requirements for the PMA?

Applicants must be natural-born Filipino citizens, 17 to 22 years old on June 1st of the admission year, single, high school graduates (or Grade 12 candidates), at least 5'0" tall, of good moral character, and physically fit.

How many questions are on the exam and what is the time limit?

The PMAEE typically contains between 150 and 200 multiple-choice questions. Takers are given approximately 3 hours (180 minutes) to complete the test proper.

What subjects are covered in the PMA Entrance Exam?

The exam covers three core areas: Mathematics (Algebra and Geometry), English (Grammar, Composition, and Reading Comprehension), and Abstract Reasoning (Verbal/Numerical reasoning and Pattern Analysis).

Can I retake the PMAEE if I fail?

Yes, candidates who fail the exam can retake it in subsequent years, provided they still meet the age requirement of being between 17 and 22 years old on the date of admission.