The Philippine Military Academy Entrance Examination (PMAEE) offers an opportunity for individuals aspiring to join the Cadet Corps Armed Forces of the Philippines and rise to become esteemed leaders within the Armed Forces. Serving as the initial phase in the selection process, the PMAEE is the gateway to the country’s most prestigious leadership institution, the Philippine Military Academy. We compiled a downloadable PMA Reviewers with Answer Keys (2024) for you in pdf.

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Coverage of the Exam

This PMA reviewer consists of three major parts corresponding to the three subtests of PMAEE4:

• Mathematics (Algebra, Basic Statistics, and Geometry)
• English (Grammar, Composition, and Reading Comprehension)
• SPMA (Verbal and Numerical Reasoning and Pattern Analysis)

Each part consists of modules and topic summaries which you can use to recall concepts you’ve learned in your high school classes. The reviewer also comes with practice questions and answer keys, which you can use to assess your understanding of the topics.

Algebra

1. 6x – 10 = 4(x + 3). Solve for x.

• x=10 
• x=12 
• x=9 
• x=11 

2. Solve for x: 4(x – 3) = 20

• x=8
• x = 10
• x = 5
• x = 6

3. Evaluate: x4 − y if x = 3 and y = −20

• 32
• 61
• 101
• 47

4. Which of the following is a real number?

• 1/0
• π
• 3/2
• √-9

5. If w = x + y + z, then what is the value of w when x = 1, y = 2, and z = 3?

• 8
• 6
• 9
• 7

6. Multiply: (2x+5)(3x² – 2x – 4)

• 21x² + 22x – 20
• 6x³ + 15x² + 6x + 12
• 6x³ + 19x² + 18x + 20
• 6x³ + 11x² – 18x – 20

7. Simplify the expression: 3x + 2y – 5x + y

• -2x + 5y
• -2x + 3y
• -2x – 3y
• 2x – 3y

8. If y(x-1)=z then x=

• z/y + 1
• z(y-1)
• y(z-1)
• y-z

9. Given f(x)=5x-4, find the value of x if f(x)=31

• 7
• 27/5
• 151
• -7

10.  Which of the following is the additive inverse of 3?

• 0
• 1
• -3
• 3

11. Solve for x: 2(x+7)-3(2x-4)=-18

• x=5
• x=-11
• x=11
• x=-5

12.  Which of the following is the multiplicative inverse of 5?

• 5
• -5
• 0
• ⅕

13.  The number has increased by 20%. What is the percentage increase in its value?

• 10%
• 5%
• 15%
• 20%

14. Irene is N years old. If Tom is twice as old, which of the following algebraic statements shows his age now?

• 2-N
• 2N+X
• 2N
• N-2

15.  If X equals 5, what is the value of 6X + 2X – X?

• 25
• 30
• 35
• 40 

16.  If 3x=6x-15 then x + 8=

• 13
• 10
• 11
• 5

17.  Find x: x + 9 = 18 – 2x

• 1
• 2
• 3
• 4

18.  Solve: (3x + 4y)(2x + 5y) = ?

• 3x² + 15xy + 20y²
• 6x² + 23xy + 20y²
• 6x² + 15xy + 20y²
• 3x² + 8xy + 20y²

19.  A father gave $500 to his two sons. He gave X dollars to one son. Which of the following expressions correctly shows the amount he gave to the other.

• 500-x
• 500÷X
• 500+X
• 500xX

20. Simplify: (-3a²b²)(4a⁵b³)³

• -12a¹⁷b¹¹
• -192a⁸b⁵
• -192a¹⁷b¹¹
• -12a⁸b⁵

Grammar and Vocabulary

1. He’s one of the most hated men in history, despite _______ anything really bad.

• not having done 
• not done 
• he didn’t do 
• he hadn’t done

2. It’s not so much his looks I don’t like ____ his inability to listen.

• more
• for
• than
• as

3. It took a long time _______ accepted.

• the theory was
• while the theory became
• until the theory
• for the theory to be

4. Are you __________ get up soon?

• be
• go to
• will
• going to

5. Although we had tickets, we _________ for an hour.

• have kept waiting
• were kept waiting
• had made waiting
• made waiting

6. I’ve never __________ to the USA.

• been
• going
• being
• gone

7. Do you mind __________ I open the window?

• how
• when
• that
• if

8. The government’s reforms did much to ameliorate the people’s living standards.

• Define
• Aggravate
• Boost
• Exacerbate

9.  If your invitations are met with repeated ______ , you should just leave him alone.

• rebuffs 
• hypotheses 
• negatives  
• blunts 

10.  It is very unpleasant to be with someone who constantly makes flippant remarks.

• Disrespectful
• Irritating
• Serious
• Lewd

11. I don’t know __________ people at this party, do you?

• less
• many
• much
• few

12.  Your shirt is dirty, I don’t think it will _____ for the wedding.

• make
• present
• wear
• do

13.  Let’s sleep on it, _____ we?

• will
• won’t
• don’t
• shall

14. __________ was the weather like when you were on holiday?

• How
• When
• Where
• What

15.  Neither she nor her friend ______ invited to the party.

• has been
• have
• will have
• has

16.  Where __________ you live when you were a child?

• did
• do
• were
• have

17.  It took a long time _______ accepted.

• the theory was
• until the theory
• while the theory became
• for the theory to be

18.  The leaders attempted to have the people do away with extravagant fiesta celebrations.

• postpone
• neglect
• reduce
• abolish

19.  It was a situation law abiding citizens could not put up with.

• choose
• tolerate
• terminate
• remedy

20. He always gets up at 5 o’clock in the morning, _____ on holiday.

• however
• moreover
• even
• although

Reading Comprehension

1. Which of the following is not true about the passage?

• A disagreement with a colleague at work can be an opportunity for spiritual growth. 
• A eustress is advised to be chosen over distress. 
• Spiritual growth is the result of a disagreement with a colleague at work. 
• A disagreement with a colleague at work is a challenging event. 

2. “In the land of the blind, the one-eyed man is king.” – Desiderius Erasmus. What does this proverb mean?

• Even someone with minor ability is considered special by those with no ability at all.
• Someone who can see will be able to take advantage of others who cannot see.
• It’s more advantageous to be able to see, even a little bit, than to be blind.
• It would be easy for someone who can see to become king in a land of people who cannot see.

3. If you’re a fitness walker, there is no need for a commute to a health club. Your neighborhood can be your health club. You don’t need a lot of fancy equipment to get a good workout either. All you need is a well-designed pair of athletic shoes.

This paragraph best supports the statement that:

• Walking outdoors provides a better workout than walking indoors.
• a membership in a health club is a poor investment.
• Fitness walking is a convenient and valuable form of exercise.
• Fitness walking is a better form of exercise than weight lifting.

4. The movie Close to You, a romantic comedy, was graded A by the Films Rating Board. It opened simultaneously in fifty theaters in Metro Manila on a Wednesday. The following day, it was reported that not even one of the fifty theaters where it was shown played to an SRO audience. The producers of the movie were shaking their heads, asking one another how they could recoup their investments.

What could be said about the movie?

• The movie was a dismal flop.
• Most grade A movies did not enjoy commercial success.
• The theaters in Metro Manila are big.
• Romantic comedy is not popular with moviegoers.

5. “Democracy’s real test lies in its respect for minority opinions.” Ellery Sedgwick

Showing respect for a minority opinion ____democracy.

• Validates
• Invalidates
• Defies
• Intimidates

6. The games we used to play when we were young have been sidelined by modern gadgets. Nowadays, we no longer see children and teens playing piko, tumbang preso, luksong baka, patintero and other enjoyable games our parents used to play. The young generation of today is so hooked on gadgets that they even have no time to talk to each other during their free time. This is very unhealthy according to some social scientists.

From the passage, we can conclude that:

• Children and teens who use modern gadgets are sickly.
• Modern gadgets should be totally banned to protect our children.
• The young generation of today prefers modern gadgets over piko, patintero and the likes.
• Children and teens will not enjoy playing piko, patintero, luksong baka and tumbang preso.

7. Most research in needy countries is based on the thinking and approach of the highly developed Western world, and seldom have they been directed toward meeting the countries’ own development needs.

The sentence best supports the statement that _________.

• needy countries need researchers to help them reach the status of the western world.
• most researches done in needy countries are missing their objectives
• Most researches have universal application.
• highly developed countries offer the best guide for the development of needy countries

8. In the past, consumers would rarely walk into an ice cream store and order low-fat ice cream. But that isn’t the case today. An increasing health consciousness combined with a much bigger selection of tasty low-fat foods in all categories has made low-fat ice cream a very profitable item for ice cream store owners.

This paragraph best supports the statement that

• low-fat ice cream is more popular than other kinds of ice cream.
• low-fat ice cream produces more revenue than other low-fat foods.
• ice cream store owners no longer think that low-fat ice cream is an unpopular item.
• ice cream store owners would be better off carrying only low-fat ice cream.

9. Huge beasts such as the dinosaur have never really become extinct. Mothra, a giant caterpillar who later becomes a moth, destroys Tokyo, and stars in the 1962 Japanese film named for him. Mothra is born, dies, and reborn regularly on classic movie channels. In Japan, Mothra is one of the most popular films ever made. Mothra has survived the creation of more current scary creatures such as giant apes, extraterrestrial beings and swamp creatures. More than 30 years after his creation, Mothra still lives.

The main subject of the passage is

• the difficulty of marketing good horror movies.
• the reasons that fads do not endure.
• old models for creatures are still used because making new monsters is expensive.
• the lasting appeal of Mothra.

10.  Myths are stories, the products of fertile imagination, sometimes simple, often containing profound truths. They are not meant to be taken too literally. Details may sometimes appear childish, but most myths express a culture’s most serious beliefs about human beings, eternity, and God.

The main idea of this passage is that myths:

• illustrate the values that are considered important to a society
• provide the reader with a means of escape from reality
• are created primarily to entertain young children.
• are purposely written for the reader who lacks imagination

11. A dance instructor is holding an aerobics class every morning in front of the town market where there is a big open space. There are many participants and he charges them 10 pesos per session. In contrast, a Zumba class in the nearby dance studio has only 10 participants because the enrollment fee is expensive. Only the rich can afford to enroll in the Zumba class.

What can we deduce from the situation?

• The aerobics class is more enjoyable than the Zumba class.
• The participants of the aerobics class are all poor.
• More people enroll in the aerobics class because the enrollment fee is affordable.
• The aerobics class is more popular than the Zumba class.

12.  Deadweight tonnage is a measure of how much weight a ship is carrying or can safely carry. It is the sum of the weights of cargo, fuel, fresh water, ballast water, provisions, passengers, and crew.

Which of the following does NOT go into the calculation of deadweight tonnage?

• weight of crew
• weight of the ship
• weight of passengers
• weight of ballast water 

13.  In 1970 about sixty small and medium-sized factories in the United States adopted a four-day workweek. According to the plan, workers work forty hours but instead of the usual five-day week, they now work only four days. Workers are enthusiastic about the three-day weekly vacation. According to management, productivity has increased about 18% since the inception of the new plan. Absenteeism has dropped by 69% and lateness is almost non-existent.

The passage suggests that a four-day workweek may result in

• 40 hour workweeks for factory workers.
• 69% lateness or absenteeism among workers.
• increased productivity, enthusiasm, and attendance.
• significant changes in the 1970s.

14. It is said that a smile is universally understood. And nothing triggers a smile more universally than a taste of sugar. Nearly everyone loves sugar. Infant studies indicate that humans are born with an innate love of sweets. Based on statistics, a lot of people in Great Britain must be smiling, because on average every man, woman, and child in that country consumes 95 pounds of sugar each year.

From this passage it seems safe to conclude that the English:

• are fonder of sweets than most people.
• have more cavities than any other people.
• eat desserts at every meal.
• do not know that too much sugar is unhealthy

15.  The Philippines is experiencing its worst drought in fifteen years. Corn and rice prices are expected to be very high this year.
16. What does the second sentence do?

• It analyzes the statement made in the first.
• It states an effect.
• It restates the idea found in the first.
• It gives an example.

17.  There are no effective boundaries when it comes to pollutants. Studies have shown that toxic insecticides that have been banned in many countries are riding the wind from countries where they remain legal. Compounds such as DDT and toxaphene have been found in remote places like the Yukon and other Arctic regions.

This paragraph best supports the statement that:

• toxic insecticides such as DDT have not been banned throughout the world.
• Studies have proven that many countries have ignored their own anti-pollution laws.
• DDT and toxaphene are the two most toxic insecticides in the world.
• more pollutants find their way into polar climates than they do into warmer areas.

18.  Spending time volunteering for charity is important to Company X. Company X offers their employees paid time off to volunteer.

How is the second sentence related to the first sentence?

• It offers a solution.
• It contradicts the first statement.
• It reveals the first statement.
• It reinforces the first statement.

19.  One New York publisher has estimated that 50,000 to 60,000 people in the United States want an anthology that includes the complete works of William Shakespeare. And what accounts for this renewed interest in Shakespeare? As scholars point out, his psychological insights into both male and female characters are amazing even today.

This paragraph best supports the statement that

• New Yorkers have a renewed interest in the work of Shakespeare.
• People even today are interested in Shakespeare’s work because of the characters.
• academic scholars are putting together an anthology of Shakespeare’s work.
• Shakespeare’s characters are more interesting than fictional characters today.

20. Generation Xers are those people born roughly between 1965 and 1981. As employees, Generation Xers tend to be more challenged when they can carry out tasks independently. This makes Generation Xers the most entrepreneurial generation in history.

This paragraph best supports the statement that Generation Xers

• have an interest in making history.
• have a tendency to be self-directed workers.
• tend to work in jobs that require risk-taking behavior.
• work harder than people from other generations.

English (Tenses and Parts of Speech)

1. What part of speech is the word “happy”?

• Noun 
• Adjective 
• Adverb 
• Verb

2. Identify the adverb in the following sentence: “She ran quickly to catch the bus.”

• bus
• quickly
• catch
• ran

3. What part of speech is the word “table” in the sentence: “He placed the book on the table”?

• Noun
• Adverb
• Verb
• Adjective

4. Identify the pronoun in the following sentence: “They will come to the party if she invites them.”

• come
• party
• they
• she

5. In the sentence “The cat chased the mouse,” which word is the verb?

• mouse
• The
• cat
• chased

6. Identify the conjunction in the sentence: “I wanted to go, but it was raining heavily.”

• but
• go
• raining
• heavily

7. What part of speech is the word “honest” in the sentence: “He is an honest man”?

• Adverb
• Noun
• Verb
• Adjective

8. Identify the preposition in the following sentence: “The book is on the shelf.”

• shelf
• book
• is
• on

9. Identify the interjection in the sentence: “Wow, that was an amazing performance!”

• that
• Wow
• amazing
• performance

10.  In the sentence “The flowers are blooming beautifully,” which word is the adverb?

• flowers
• beautifully
• are
• blooming

11. Identify the article in the following sentence: “An apple a day keeps the doctor away.”

• apple
• An
• away
• day

12.  What part of speech is the word “computer” in the sentence: “She uses the computer to write her assignments”?

• Adjective
• Adverb
• Verb
• Noun

13.  Identify the relative pronoun in the sentence: “The girl who won the singing competition is my friend.”

• The
• who
• is
• girl

14. In the sentence “John and Mary are siblings,” what part of speech is “and”?

• Conjunction
• Adjective
• Noun
• Verb

15.  What part of speech is the word “always” in the sentence: “She always arrives on time”?

• Adverb
• Noun
• Verb
• Adjective

16.  Which tense is used to describe actions that happened at a specific time in the past?

• Future tense
• Past tense
• Present tense
• Perfect tense

17.  Which tense is used to talk about actions happening at the current moment?

• Past tense
• Past Perfect Tense
• Future tense
• Present tense

18.  Which tense is used to express an action that will happen in the future?

• Present tense
• Past tense
• Future tense
• Perfect tense

19.  Which sentence is in the present perfect tense?

• I am reading a book right now.
• They sang a song together yesterday.
• She will sing at the concert tomorrow.
• He has written five poems.

20. What is the past perfect tense of the sentence: “She had played the piano.”

• She will have played the piano.
• She has played the piano.
• She played the piano.
• She is playing the piano.

Verbal Reasoning and Logical Reasoning

What Is the Philippine Military Academy (PMA)?

The Philippine Military Academy (PMA) is the leading military educational institution in the country. It was officially established in December 1936, in Baguio City. 

PMA cadets are entitled to free tuition and a monthly allowance. Upon graduation, successful cadets will be conferred the rank of second lieutenant of the Philippine Army, Philippine Air Force, or Philippine Navy and required to enter active military service afterward.

What Is the PMA Entrance Exam (PMAEE)?

The PMA Entrance Exam (PMACQT or PMA Cadet Qualifying Examination)  is a prerequisite to qualifying as a PMA cadet. This 4.5-hour-long written exam is administered annually in various AFP camps nationwide on a date determined by PMA. According to previous examinees, the exam contains 200 items/questions.

Frequently Asked Questions

1. Is the PMA Entrance Exam hard?

Previous examinees have shared that the questions are not that difficult since they’ve already learned the topics in high school. However, it is challenging because of the limited time and the need to be attentive to follow the proctor’s instructions correctly to avoid being disqualified. Furthermore, some proctors prohibit the examinees from returning to questions belonging to a subtest that is already completed or advancing to a subtest without the proctor’s instruction.

2. What is the PMA Entrance Exam passing score?

There is no specified passing grade for PMAEE. To proceed to the next qualification test, however, your score must be high enough to make it to the quota determined by the President of the Philippines annually.

3. Is PMA a college?

PMA can be considered a college since it prepares you for a particular profession in the future (i.e., being a military officer). However, unlike universities and tertiary institutions, PMA will not allow you to take any other profession immediately after graduation, as you must serve as an active military officer for five years.

Sources:(1),(2)

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