Free Practice Questions for PMA Entrance Exam

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Exam pass rate: 4.78% in the 2026 written PMAEE: PMA reports 1,216 passers out of 25,452 qualified examinees in its October 1, 2026 announcement; this is not the cadet-admission rate or a passing cutoff.

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Exam Review

Key Facts: PMA Entrance Exam Exam

Free

Application and Exam

PMA

At least 17

Not a day older than 22 on admission

Current PMA qualifications page

85%

Required General Average

PMA

Math/English/SPMA

Official Written Coverage

PMA

Not published

Fixed Item Count and Written Cutoff

Reviewed current PMA FAQ and 2026 results announcement

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 cutoff in the reviewed admissions material. Its October 1, 2026 announcement reports a 4.78% written pass rate (1,216 of 25,452 qualified examinees), separate from final cadet admission. Written passers still undergo medical and physical examinations, fitness testing, an aptitude interview, and board deliberation.

Sample PMA Entrance Exam Practice Questions

Try these sample questions to review concepts for the PMA Entrance Exam exam. 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.

Exam sponsor: Office of Cadet Recruitment and Admission (OCRA), Philippine Military Academy. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

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

A fixed current written cutoff is not published in the reviewed PMA FAQ and 2026 results announcement; written passage does not guarantee cadet admission.

Exam / Certification Fees

No fee (completely free to apply and sit the exam)

Exam sponsor website

Reported exam pass rate: 4.78% in the 2026 written PMAEE: PMA reports 1,216 passers out of 25,452 qualified examinees in its October 1, 2026 announcement; this is not the cadet-admission rate or a passing cutoff.. Historical 2026 written-stage result: 1,216 ÷ 25,452 × 100 = 4.7776%, rounded by PMA to 4.78%. Use the announcement’s qualified-examinee denominator, not its 26,339 reported-to-centers count or 36,596 application count. The same announcement reports 5.28% for 2025. This describes exam candidates, not OpenExamPrep users or results from using our resources. Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

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.

Preparing for the PMA Entrance Exam Exam

What You Need to Know

Passing score: A fixed current written cutoff is not published in the reviewed PMA FAQ and 2026 results announcement; written passage does not guarantee cadet admission.
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 / certification fees: No fee (completely free to apply and sit the exam) Official sources

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PMA Entrance Exam: Suggested Study Strategy

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, at least high school (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. PMA’s FAQ says an unsuccessful candidate may take the exam the following year if still qualified. Its current qualifications page requires at least 17 and not a day older than 22 on the day of admission.