100+ Free PMA Entrance Exam Practice Questions

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2026 Statistics

Key Facts: PMA Entrance Exam Exam

Free

Application and Exam

PMA

17–22

Age on Admission Day

Current PMA qualifications page

85%

Required General Average

PMA

Math/English/SPMA

Official Written Coverage

PMA

Not published

Item Count and Pass Rate

Current PMA pages

The PMAEE is the free written entrance examination for the Philippine Military Academy. Current official coverage is Mathematics, English, and SPMA verbal, numerical, and pattern-analysis reasoning. PMA does not publish a fixed current item count, domain weights, or written pass rate. Passing the written stage is followed by complete physical and medical examinations, fitness testing, an aptitude interview, and board deliberation.

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.

Assessment

Question count not published by the exam provider

Time Limit

Scheduled 12:00 p.m.–4:30 p.m. in current 2026 notices; active testing time not separately published

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

Not published

Mathematics

Current official PMA written-exam coverage.

Not published

English

Current official PMA written-exam coverage.

Not published

SPMA

Verbal, numerical, and pattern-analysis reasoning under current official PMA coverage.

How to Pass the PMA Entrance Exam Exam

What You Need to Know

Passing score: Competitive selection (determined relative to the applicant pool)
Assessment: Question count not published by the exam provider
Time limit: Scheduled 12:00 p.m.–4:30 p.m. in current 2026 notices; active testing time not separately published
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.

4Use progressively longer mixed Mathematics, English, and SPMA sets without a calculator; PMA does not publish a fixed current item count or per-section timing.

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 or naturalized Filipino citizens, at least 17 and not a day older than 22 on the day of admission, single, Grade 12 graduates with a general average of at least 85%, between 5'0" and 6'4" tall barefoot, of good moral character, and physically fit.

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

Current PMA pages do not publish a fixed live-exam item count or active testing time. The official FAQ schedules administrative processing from 7:00-11:00 a.m. and says the exam proper starts at noon and can last until 4:30 p.m.

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.