# PMA Entrance Exam Reviewer: How to Prepare and Succeed in the PMAEE

## PMA Entrance Exam Reviewer PDF Download: How to Ace the Test and Join the Philippine Military Academy

Do you dream of becoming a military officer and serving your country with honor? Do you want to get a free college education and enjoy a progressive career in the armed forces? If yes, then you might want to consider applying for the Philippine Military Academy (PMA), the premier military institution in the country.

## pma entrance exam reviewer pdf download

PMA is not just an ordinary school; it is a training ground for future leaders of the Philippine Army, Navy, Air Force, and Marines. It offers a four-year Bachelor of Science degree in various fields such as Engineering, Management, Social Sciences, and Military Arts. It also provides state-of-the-art facilities, monthly salary and allowances, and opportunities for local and foreign training.

However, getting into PMA is not easy. You have to pass the PMA Entrance Exam (PMAEE), a highly competitive test that measures your academic aptitude, physical fitness, and psychological readiness. Only the top 1,500 out of tens of thousands of applicants make it to the next stage of screening.

So how can you prepare for this challenging exam and increase your chances of becoming a PMA cadet? Well, you're in luck because this article will serve as your ultimate reviewer for the PMAEE. We will cover the topics, tips, and sample questions for each subject area: Mathematics, English, and Abstract Reasoning (SPMA). We will also provide you with a free PDF download of this reviewer so you can study anytime, anywhere.

Are you ready to take on this challenge? Then let's get started!

## Mathematics

Mathematics is one of the major subjects in the PMAEE. It accounts for 40% of the total score. The test covers topics such as Algebra, Geometry, Trigonometry, Statistics, and Logic.

### Topics covered and tips

Here are some of the topics that you need to review for Mathematics:

Basic operations on fractions, decimals, integers, radicals, exponents, and polynomials

Linear equations and inequalities

Quadratic equations and functions

Systems of equations

Rational expressions and equations

Word problems involving age, distance, rate, time, work, mixture, etc.

Factoring techniques

Functions and their graphs

Sequences and series

Binomial theorem

Logarithms and exponential functions

Angles and their measures

Parallel and perpendicular lines

Congruent and similar triangles

Pythagorean theorem

Circles and their properties

Area and perimeter of polygons

Volume and surface area of solids

Coordinate geometry

Basic trigonometric functions and identities

Law of sines and cosines

Trigonometric equations and graphs

Inverse trigonometric functions

Measures of central tendency and dispersion

Probability and counting techniques

Permutations and combinations

Binomial distribution

Logical reasoning and arguments

Truth tables and Venn diagrams

Propositional and predicate logic

Here are some tips to help you ace the Mathematics test:

Review the basic concepts, formulas, and rules for each topic. Make sure you understand the logic behind them and not just memorize them.

Solve as many practice problems as you can. This will help you develop your speed, accuracy, and problem-solving skills.

Check your answers carefully. Avoid careless mistakes such as wrong signs, operations, or units.

Show your solutions clearly and neatly. Use proper notation and symbols. Label your diagrams and graphs.

If you get stuck on a difficult question, don't waste too much time on it. Skip it and move on to the next one. You can always go back to it later if you have time.

Use the process of elimination to narrow down your choices. Eliminate the obviously wrong or absurd answers first.

Use estimation or approximation to check your answers or to make an educated guess. For example, if the answer choices are 3.14, 3.141, 3.1415, and 3.14159, you can use 3.14 as a rough estimate of pi.

Use logic and common sense to eliminate or confirm your answers. For example, if the question asks for the area of a circle, the answer should be positive and not negative.

### Sample questions and solutions

Here are some sample questions for Mathematics with solutions and explanations:

A car travels at a constant speed of 60 km/h for 2 hours, then at 80 km/h for 1.5 hours, then at 40 km/h for 1 hour. What is the average speed of the car for the whole trip?

A) 60 km/h

B) 64 km/h

C) 66 km/h

D) 68 km/h

Solution: To find the average speed of the car, we need to divide the total distance traveled by the total time elapsed. The total distance traveled is given by:

(60 km/h)(2 h) + (80 km/h)(1.5 h) + (40 km/h)(1 h) = 240 km

The total time elapsed is given by:

2 h + 1.5 h + 1 h = 4.5 h

Therefore, the average speed is given by:

(240 km)/(4.5 h) = 53.33 km/h (rounded off)

The correct answer is none of the choices.

If x + y = 10 and x - y = 2, what is the value of x - y?

A) -20

B) -12

C) 12

D) 20

Solution: We can use the system of equations to find the values of x and y, then substitute them in the expression x - y. However, there is a faster way to solve this problem using a special product formula:

x - y = (x + y)(x - y)

We already know that x + y = 10 and x - y = 2, so we can substitute them in the formula:

x - y = (10)(2) = 20

The correct answer is D.

A) 0.25

B) 0.375

C) 0.5

D) 0.625

Solution: We can use the formula for the probability of the union of two events:

P (girl or brown eyes) = P (girl) + P (brown eyes) - P (girl and brown eyes)

We can find each probability by dividing the number of favorable outcomes by the number of possible outcomes:

P (girl) = 15/40 = 0.375

P (brown eyes) = (10 + 5)/40 = 0.375

P (girl and brown eyes) = 5/40 = 0.125

Substituting these values in the formula, we get:

P (girl or brown eyes) = 0.375 + 0.375 - 0.125 = 0.625

The correct answer is D.

## English

English is another major subject in the PMAEE. It accounts for 40% of the total score. The test covers topics such as Vocabulary, Grammar, Reading Comprehension, and Verbal Analogy.

### Topics covered and tips

Here are some of the topics that you need to review for English:

Vocabulary

Synonyms and antonyms

Homonyms and homophones

Prefixes and suffixes

Word roots and origins

Context clues and word usage

Grammar

Parts of speech and their functions

Sentence structure and types

Subject-verb agreement and verb tenses

Pronoun-antecedent agreement and pronoun cases

Modifiers and parallelism

Punctuation and capitalization rules

Reading Comprehension

Main idea and supporting details

Inference and implication

Cause and effect and comparison and contrast

Fact and opinion and bias and tone

Summary and paraphrase

Verbal Analogy

Relationships between words or concepts

Classification and association

Degree and intensity

Function and purpose

Cause and effect and part and whole

Here are some tips to help you ace the English test:

Expand your vocabulary by reading a variety of texts, such as books, newspapers, magazines, etc. Look up unfamiliar words in a dictionary or a thesaurus.

Review the basic rules of grammar and usage. Practice identifying and correcting errors in sentences or paragraphs.

Improve your reading comprehension skills by skimming and scanning texts for main ideas and key details. Use strategies such as SQ3R (Survey, Question, Read, Recite, Review) or KWL (Know, Want to know, Learned).

Solve verbal analogy problems by finding the relationship between the given pair of words or concepts. Use a colon (:) to express the relationship, such as dog : bark :: cat : meow.

Choose the best answer that fits the context or meaning of the question. Avoid answers that are too broad, too narrow, or irrelevant.

If you are unsure of an answer, use the process of elimination to narrow down your choices. Look for clues in the question or in the text that can help you eliminate or confirm an answer.

If you encounter a difficult question, don't spend too much time on it. Skip it and move on to the next one. You can always go back to it later if you have time.

### Sample questions and solutions

Here are some sample questions for English with solutions and explanations:

Choose the word that is most nearly opposite in meaning to the word in capital letters.

ANOMALY

A) rarity

B) norm

C) exception

D) oddity

Solution: An anomaly is something that deviates from the normal or expected. The word that is most nearly opposite in meaning to anomaly is norm, which means a standard or a rule. Therefore, the correct answer is B.

Choose the word or phrase that best completes the sentence.

Neither of the students _____ finished their homework on time.

A) has

B) have

C) is

D) are

Solution: The subject of the sentence is neither of the students, which is singular. Therefore, the verb must also be singular. The only singular verb among the choices is has. Therefore, the correct answer is A.

Read the passage and answer the question that follows.

Passage:

The ancient Greeks were among the first to develop a concept of citizenship. In their view, a citizen was a person who shared in the administration of justice and in the holding of public office. Only free adult males were considered citizens in Greece; women, children, slaves, and foreigners were excluded. To be a good citizen, one had to be loyal to the city-state, participate in public affairs, and defend the territory from enemies. The Greeks believed that citizenship was not only a privilege but also a responsibility.

What is the main idea of the passage?

A) The concept of citizenship originated in ancient Greece.

B) The ancient Greeks had a narrow definition of citizenship.

C) The ancient Greeks valued citizenship as a privilege and a responsibility.

D) The ancient Greeks excluded many groups from citizenship.

Solution: The main idea of the passage is the central point or message that the author wants to convey. It is usually stated in one sentence, either at the beginning or at the end of the passage. Sometimes, it is implied and not directly stated. In this case, the main idea is stated in the last sentence: The Greeks believed that citizenship was not only a privilege but also a responsibility. This sentence summarizes the main point of the passage and connects all the supporting details. Therefore, the correct answer is C.

Solve the verbal analogy problem by choosing the best answer.

Book : Author :: Song : _____

A) Singer

B) Composer

C) Musician

D) Lyricist

Solution: A verbal analogy problem consists of two pairs of words or concepts that have a certain relationship. The first pair is given, and the second pair is incomplete. The task is to find the missing word or concept that completes the second pair and makes it analogous to the first pair. To solve this problem, we need to identify the relationship between book and author. A book is a written work that is created by an author. Therefore, we need to find a word that means a person who creates a song. A song is composed of music and lyrics, so both a composer and a lyricist can be considered as creators of a song. However, since a book is mainly a written work, we can assume that the analogy focuses on the written aspect of a song, which is the lyrics. Therefore, the best answer is D.

## Abstract Reasoning (SPMA)

the total score. The test measures your ability to identify patterns, relationships, and logic in a series of figures or shapes. It also tests your spatial visualization and mental rotation skills.

### Topics covered and tips

Here are some of the topics that you need to review for Abstract Reasoning:

Series

Identifying the next figure or shape in a sequence

Identifying the missing figure or shape in a sequence

Identifying the rule or pattern that governs a sequence

Analogies

Identifying the relationship between two figures or shapes

Identifying the figure or shape that completes an analogy

Identifying the figure or shape that does not belong in an analogy

Classification

Identifying the common characteristic or feature of a group of figures or shapes

Identifying the figure or shape that belongs or does not belong to a group

Identifying the figure or shape that is different from the others in a group

Spatial Visualization

Visualizing how a figure or shape looks like from different perspectives or angles

Visualizing how a figure or shape changes when folded, unfolded, rotated, flipped, or transformed

Visualizing how a figure or shape fits into another figure or shape

Here are some tips to help you ace the Abstract Reasoning test:

Observe the figures or shapes carefully and look for patterns, relationships, and logic. Pay attention to details such as size, shape, color, position, orientation, number, symmetry, etc.

Use a process of elimination to narrow down your choices. Eliminate the choices that are obviously wrong or inconsistent with the pattern or relationship.

If you are unsure of an answer, use trial and error to test each choice and see if it fits the pattern or relationship.

If you encounter a difficult question, don't spend too much time on it. Skip it and move on to the next one. You can always go back to it later if you have time.

Practice your spatial visualization and mental rotation skills by imagining how figures or shapes look like from different perspectives or angles, or how they change when folded, unfolded, rotated, flipped, or transformed.

### Sample questions and solutions

Here are some sample questions for Abstract Reasoning with solutions and explanations:

Solve the series problem by choosing the best answer.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

Solution: The series problem consists of five figures that follow a certain rule or pattern. The task is to identify the next figure in the sequence. To solve this problem, we need to observe how the figures change from left to right. We can notice that there are two patterns involved: one for the shape and one for the shading. The shape pattern is that the figure alternates between a circle and a square. The shading pattern is that the figure alternates between light and dark. Therefore, the next figure should be a circle that is dark. The only choice that matches this description is choice C. Therefore, the correct answer is C.

Solve the analogy problem by choosing the best answer.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

Solution: The analogy problem consists of two pairs of figures that have a certain relationship. The first pair is given, and the second pair is incomplete. The task is to find the missing figure that completes the analogy. To solve this problem, we need to identify the relationship between the first pair of figures. We can notice that the relationship is that the second figure is obtained by rotating the first figure 90 degrees clockwise. Therefore, we need to find the figure that is obtained by rotating the third figure 90 degrees clockwise. The only choice that matches this description is choice B. Therefore, the correct answer is B.

Solve the classification problem by choosing the best answer.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

Solution: The classification problem consists of a group of five figures that have a common characteristic or feature. The task is to identify the figure that does not belong to the group. To solve this problem, we need to identify the common characteristic or feature of the group. We can notice that the common characteristic or feature is that the figures are all triangles. Therefore, we need to find the figure that is not a triangle. The only choice that matches this description is choice D. Therefore, the correct answer is D.

## Conclusion

You have reached the end of this article, which serves as your ultimate reviewer for the PMA Entrance Exam. We hope that you have learned a lot from this article and that you are more confident and prepared for the test.

Remember, passing the PMAEE is not impossible, but it requires hard work and dedication. You need to review the topics, practice the questions, and apply the tips and strategies that we have shared with you. You also need to take care of your physical and mental health, and stay positive and motivated.

The PMAEE is not just a test; it is a stepping stone to your dream of becoming a PMA cadet and a future military officer. If you pass this test, you will be one step closer to achieving your goal and serving your country with honor.

So what are you waiting for? Download this reviewer as a PDF file and start studying now. Good luck and may you succeed in your PMAEE journey!

## FAQs

### Q1. Is the PMA Entrance Exam hard?

A1. The PMA Entrance Exam is hard in the sense that it is very competitive and covers a wide range of topics. However, it is not impossible to pass if you prepare well and study smart. You need to review the topics, practice the questions, and apply the tips and strategies that we have shared with you in this article.

### Q2. What is the PMA Entrance Exam passing score?

A2. The PMA Entrance Exam passing score is not fixed; it depends on the number of applicants, the difficulty level of the test, and the quota of cadets for each year. However, based on previous years, you need to score at least 85% or higher to qualify for the next stage of screening.

### Q3. Is PMA a college?

A3. Yes, PMA is a college that offers a four-year Bachelor of Science degree in various fields such as Engineering, Man