Addition of Fractions Exercises – Set 2

Add the following fractions.

1.) \dfrac{1}{7} + \dfrac{2}{7}

2.) \dfrac{1}{12} + \dfrac{5}{12}

3.) \dfrac{7}{15} + \dfrac{2}{15} + \dfrac{6}{15}

4.) \dfrac{1}{3} + \dfrac{1}{4}

5.) \dfrac{2}{9} + \dfrac{1}{3}

6.) \dfrac{3}{8} + \dfrac{1}{4}

7.) 8 \dfrac{2}{3} + \dfrac{3}{2}

8.) \dfrac{1}{2} + \dfrac{2}{3} + \dfrac{3}{4}

9.) 7 \dfrac{2}{7} + 6 \dfrac{3}{14}

10.) 3 \dfrac{1}{4} + 2 \dfrac{1}{8}

Answer key and solution:

1.) \dfrac{3}{7}

2.) \dfrac{6}{12} = \dfrac{1}{2}

3.) \dfrac{15}{15} = 1

4.) \dfrac{7}{12}
Solution:
LCD: 12
\dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}

5.) \dfrac{5}{9}
Solution:
LCD: 9
\dfrac{2}{9} + \dfrac{3}{9} = \dfrac{5}{9}

6.) \dfrac{5}{8}
Solution:
LCD: 8
\dfrac{3}{8} + \dfrac{2}{8} = \dfrac{5}{8}

7.) 10 \dfrac{1}{6}
Solution:
LCD: 6

8 \dfrac{4}{6} + \dfrac{9}{6} = 8 \dfrac{13}{6} = 10 \dfrac{1}{6}

8.) 1 \dfrac{11}{12}
Solution:
LCD: 12

\dfrac{6}{12} + \dfrac{8}{12} + \dfrac{9}{12} = \dfrac{23}{12} = 1 \dfrac{11}{12}

9.) 13 \dfrac{1}{2}

Solution:
LCD: 14

7 \dfrac{4}{14} + 6 \dfrac{3}{14} = 13 \dfrac{7}{14} = 13 \dfrac{1}{2}

10.) 5 \dfrac{3}{8}

Solution:
LCD: 8

3 \dfrac{2}{8} + 2 \dfrac{1}{8} = 5 \dfrac{3}{8}

LCM and GCD Exercises Set 2

Here are some Civil Service exam exercises on GCD and LCM.

1.) What is the GCD of 8, 20, and 28?

2.) What is the GCD of 21, 35, and 56?

3.) What is 18/54 in lowest terms?

4.) What is 38/95 in lowest terms?

5.) What is the LCM of 6 and 8?

6.) What is the LCM of 5, 6, and 12?

7.) What is the product of the LCM and the GCD of 4, 8, and 20?

8.) There are 18 red marbles and 27 blue marbles to be distributed among children. What is the maximum number of children that can receive the marbles if each kid receives the same number of marbles for each color and no marble is to be left over?

9.) In a school sportsfest, there are 60 Grade 4 pupils, 48 Grade 5 pupils and 36 Grade 6 pupils. What is the largest number of teams that can be formed if the pupils in each Grade level are equally distributed and no pupil is left without a team?

10.) In a disco, the red lights blink every 3 seconds and the blue lights blink every 5 seconds. If the two colored lights blink at the same time if you turn them on, they will blink at the same time every ___ seconds.

Answers:

1.) Answer: 4
Solution:
Divisors of 8 – 1, 2, 4, 8
Divisors of 20 – 1, 2, 4, 5, 10, 20
Divisors of 28 – 1, 2, 4, 7, 14, 28

2.) Answer: 7
Solution:
Divisors of 21 – 1, 3, 7, 21
Divisors of 35 -1, 3, 5, 7, 35
Divisors of 56 -1, 2, 7, 8, 14, 28, 56

3.) Answer: 1/3
Note: Reducing fractions to lowest terms is one of the applications of GCD.
Solution:
Divisors of 18 – 1, 2, 6, 9, 18
Divisors of 54 – 1, 2, 3, 9, 18, 27, 54
Numerator = 18 divided by 18 (GCD) = 1
Denominator = 54 divided by 18 (GCD) = 3
Final answer: 1/3

4.) Answer: 2/5
Solution:
Divisors of 38 – 1, 2, 19, 38
Divisors of 95 – 1, 2, 3, 19, 95

5.) Answer: 24.
Solution:
Multiples of 6 – 6, 12, 18, 24
Multiples of 8 – 8, 16, 24

6.) Answer: 60.
Solution:
Multiples of 5 – 5, 10, 15, 20, 25, 30 … 55, 60
Multiples of 6 – 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Multiples of 12 – 12, 24, 36, 48, 60

7.) Answer: 160.
Solution
GCD of 4, 6, and 20 is 4.
LCM of 4, 6, and 20 is 40.
4 x 40 = 160.

8.) Answer: 9
Solution:
Divisors of 18 – 1, 2, 3, 6, 9, 18
Divisors of 27 – 1, 2, 3, 9, 27

9.) Answer: 12.
Solution:
Divisors of 60 – 1, 2, 3, 4, 5, 6, 10, 12, 20, 30, 60
Divisors of 36 – 1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 48 – 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

10.) Answer: 15 seconds.
Solution
LCM of 3 and 5 is 15

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Civil Service Exam Double-word Analogy Reviewer

Here are some multiple-choice Civil Service exam reviewers on Double-word Analogy.

Instruction : Choose the letter that corresponds to the pair of words that is related in the same way as the given pair of words.

1.) buck : doe :: _______ : _______
A.) bitch : pup
B.) grander : duck
C.) bull : cow
D.) boomer : joey

2.) ethics : morality :: _______ : _______
A.) logic : fallacies
B.) biology : animals
C.) apologetics : heresy
D.) epistemology : knowledge

3.) Dante Alighieri : Divina Commedia :: _____ : ______
A.) Charles Darwin : Evolution
B.) Vergil : The Aeneid
C.) Niccolo Machiavelli : The Little Prince
D.) Bram Stoker : Frankenstein

4.) pachyderm : rhinoceros :: _______ : _______
A.) deer : doe
B.) ungulate : yak
C.) elephant : herd
D.) dog : Siberian husky

5.) green : yellow :: _______ : _______
A.) orange : blue
B.) violet : red
C.) brown : purple
D.) gray : orange

6.) fresh water : lake :: _______ : _______
A.) industrial water : sewage
B.) salt water : ocean
C.) artificial body : lagoon
D.) pond : public park

7.) accounting : books :: _______ : _______
A.) cartography : maps
B.) volcanology : tsunami
C.) cuisine : chef
D.) law : Supreme Court

8.) platypus : Australia :: _______ : _______
A.) African elephant : Namibia
B.) Siberian tiger : Russia
C.) tamaraw : Mindoro
D.) King cobra : India

9.) orthodoxy : heresy :: _______ : _______
A.) principle : formula
B.) belief : practice
C.) science : theory
D.) verdict : dissent

10.) dusk : evening :: _______ : _______
A.) north : south
B.) light : darkness
C.) dawn : morning
D.) lunar : solar

11.) capitalism : Adam Smith :: _______ : _______
A.) tragedy : William Shakespeare
B.) socialism : Karl Marx
C.) botany : Gregor Mendel
D.) astronomy : Tycho Brahe

12.) bravado : courage :: _______ : _______
A.) patience : virtue
B.) pride : humble
C.) sagacity : wisdom
D.) self abasement : humility

13.) werewolf : fur :: _______ : _______
A.) zombie : brain
B.) vampire : fangs
C.) leprechaun : pot of gold
D.) witch : broomstick

14.) Thor : hammer :: _______ : _______
A.) Superman : kryptonite
B.) Spiderman : spider
C.) Batman : Parents
D.) Wonder Woman : lasso

15.) United States : Washington DC :: _______ : ______
A.) Australia : Sydney
B.) Philippines : ASEAN
C.) European Union : Maastricht
D.) Peru : Lima

16.) meeting : minutes :: _______ : _______
A.) arbitration : consensus
B.) debaters : adjudication
C.) research : notes
D.) speech : extemporaneous

17.) bull-fighting : matador :: _______ : _______
A.) regatta : yacht
B.) Formula 1 car racing : F1 driver
C.) triathlon : cross-country running
D.) water polo : swimming

18.) small intestine : digestive :: _______ : _______
A.) brain : nervous
B.) pancreas : respiratory
C.) skin : skeletal
D.) eyes : circulatory

19.) parchment : ink :: _______ : _______
A.) recipe : pasta
B.) marble : sculptor
C.) canvass : paint
D.) dance : movement

190.) teach : learn :: _______ : _______
A.) eat : chew
B.) sleep : snore
C.) run : drink
D.) speak : listen

Answers:

1.) C.) bull : cow
2.) D.) epistemology : knowledge
3.) B.) Vergil : The Aeneid
4.) B.) ungulate : yak
5.) B.) violet : red
6.) B.) salt water : ocean
7.) A.) cartography : maps
8.) B.) Siberian tiger : Russia
9.) D.) verdict : dissent
10.) C.) dawn : morning
11.) B.) socialism: Karl Marx
12.) D.) self abasement : humility
13.) B.) vampire : fangs
14.) D.) Wonder Woman : lasso
15.) D.) Peru : Lima
16.) C.) research : notes
17.) B.) Formula 1 car racing : F1 driver
18.) A.) brain : nervous
19.) C.) canvass : paint
20.) D.) speak : listen

Civil Service Exam Analogy Reviewer

Here are some multiple-choice Civil Service exam reviewers on Single-word analogy.

Direction: Choose the letter that corresponds to the word matches perfectly with each analogy.

1.) Gaborone : Botswana :: Kiev : _______

A.) Moldova
B.) Estonia
C.) Ukraine
D.) Latvia

2.) Lucban : Quezon :: Naga : _______

A.) Laguna
B.) Sulu
C.) Bohol
D.) Camarines Sur

3.) Ilocos : bagnet :: Cebu : _______

A.) lechon
B.) diningding
C.) Bicol express
D.) pinaupong manok

4.) Shakespeare : Hamlet :: J.K. Rowling : _______

A.) Jonathan Livingstone
B.) Robinson Crusoe
C.) Frodo Baggins
D.) Harry Potter

5.) Odin : Norse :: Thoth : _______

A.) Greek
B.) Aztec
C.) Babylonian
D.) Egyptian

6.) nephelic : cloud :: pluvial : _______

A.) rainbow
B.) snow
C.) rain
D.) fog

7.) Oxford : England :: Sorbonne : _______

A.) United States
B.) France
C.) Netherlands
D.) Belgium

8.) nephrologist : kidney :: Cardiologist : _______

A.) stomach
B.) brain
C.) lungs
D.) heart

9.) Apollo : Greece :: Amaterasu : _______

A.) Japan
B.) China
C.) Korea
D.) Vietnam

10.) Carlo J. Caparas : Panday :: Mars Ravelo : _______

A.) Darna
B.) Bakekang
C.) Joaquin Bordado
D.) Pugad Baboy

11.) Church : Christianity :: synagogue : _______

A.) Islam
B.) Buddhisim
C.) Judaism
D.) Jainism

12.) murder : crows :: gaggle : _______

A.) roadrunners
B.) geese
C.) owls
D.) chickens

13.) Roman Catholic : Aquinas :: Protestant : _______

A.) Ratzinger
B.) Calvin
C.) Augustine
D.) Bellarmine

14.) Baranggay : Philippines :: canton : _______

A.) Hungary
B.) Switzerland
C.) Greece
D.) Malta

15.) leukemia : blood :: pneumonia : _______

A.) liver
B.) stomach
C.) esophagus
D.) lungs

16.) volleyball : libero :: soccer : _______

A.) quarterback
B.) mid-spiker
C.) center guard
D.) midfielder

17.) DC Universe : Superman :: Marvel Universe : ______

A.) Wonder Woman
B.) Spiderman
C.) Batman
D.) The Flash

18.) aquiline : eagle-like :: hircine : _______

A.) sheep-like
B.) tiger-like
C.) pig-like
D.) goat-like

19.) yeti : The Himalayas :: Dracula : _______

A.) Bulgaria
B.) Romania
C.) Montenegro
D.) Albania

20.) scarlet : red :: turquoise : _______

A.) gray
B.) yellow
C.) blue
D.) green

Answers:

1.) C.) Ukraine
2.) D.) Camarines Sur
3.) A.) lechon
4.) D.) Harry Potter
5.) D.) Egyptian
6.) C.) rain
7.) B.) France
8.) D.) heart
9.) A.) Japan
10.) A.) Darna
11.) C.) Judaism
12.) B.) geese
13.) B.) Calvin
14.) B.) Switzerland
15.) D.) lungs
16.) D.) midfielder
17.) B.) Spiderman
18.) D.) goat-like
19.) B.) Romania
20.) C.) blue

Civil Service Exam Synonyms Reviewer

Here are some multiple-choice Civil Service exam reviewers on synonyms.

Choose the letter that corresponds to the word closest in meaning to the bold and italicized word in the sentence.

1.) It is paradoxical to say that one can be patriotic and not patriotic at the same time.

A.) supportive
B.) contradictory
C.) energizing
D.) truthful

2.) Many false stories surfaced the author’s death but only those which are widely popular remained canonical.

A.) valuable
B.) meaningful
C.) engaging
D.) acceptable

3.) The five star general remained composed in his behaviour although a lot of logistical problems continued to fill his ranks.

A.) serene
B.) inspired
C.) thoughtful
D.) focused

4.) The football team remained enervated after the particularly difficult final match with the defending champions from Barotac.

A.) exhausted
B.) motivated
C.) calculating
D.) noisy

5.) The chief operating officer suggested a more pragmatic approach in dealing with the situation, relying more on results and outcomes.

A.) planned
B.) practical
C.) polite
D.) purposeful

6.) Between rumors of a tryst with a government official and allegations of drug dependency, the student athlete decided to disappear from the public eye.

A.) flight
B.) love affair
C.) secret meet
D.) corruption

7.) Doctors recommend that people should drink more water when they are working out strenuously.

A.) consistently
B.) thoroughly
C.) vigorously
D.) slowly

8.) The Harry Potter books have become ubiquitous in bookstores around the English-speaking world.

A.) amazing
B.) widespread
C.) annoying
D.) entertaining

9.) Batman defeated Gotham’s mob bosses and ended their nefarious activities that took advantage on the weak and the poor.

A.) questionable
B.) hidden
C.) altruistic
D.) wicked

10.) Because of his flippant remarks, Quentin’s friends never took him seriously.

A.) light-hearted
B.) profound
C.) demeaning
D.) wise

11.) The old professor’s lectures were soporific in their effect as seen from the immediate results in the lecture hall.

A.) enlightening
B.) merciful
C.) sleep-inducing
D.) engaging

12.) The young lady was often lachrymose whenever she reads books that lead to tragic ends.

A.) silly
B.) preoccupied
C.) lazy
D.) tear-filled

13.) Many civic minded members of society decry government policies that continue to ignore the concerns of the poor.

A.) condemn
B.) express
C.) support
D.) lessen

14.) Many college textbooks, despite the appeal of their subject matter, remain stodgy in their discussion and presentation of topics.

A.) limited
B.) short-sighted
C.) boring
D.) erroneous

15.) Because of his warm attitude and scholarly erudition, the class admired Mr. Pelaez and ignored his minor weaknesses.

A.) positivity
B.) intelligence
C.) virtue
D.) religiousness

Answer key:

1.) B.) contradictory
2.) D.) acceptable
3.) A.) serene
4.) A.) exhausted
5.) B.) practical
6.) C.) secret meet
7.) C.) vigorously
8.) B.) widespread
9.) D.) wicked
10.) A. ) light-hearted
11.) C.) sleep-inducing
12.) D.) tear-filled
13.) A.) condemn
14.) C.) boring
15.) B.) intelligence

Civil Service Review Spelling Quiz 13 – Set 2

In each item, identify the word with incorrect spelling.

Item 01

a. bureau
b. adequate
c. circumstances
d. extravagant
e. harrass

Item 02

a. privilage
b. prejudice
c. identification
d. believe
e. humor

Item 03

a. animosity
b. humiliation
c. exxaggerate
d. forty
e. restaurant

Item 04

a. persuasion
b. repitition
c. flamboyant
d. length
e. extremely

Item 05

a. palpable
b. estimate
c. publicly
d. gratefull
e. generation

Item 06

a. arguement
b. questionnaires
c. rhyme
d. pronunciation
e. epistemology

Item 07

a. vacuum
b. mellennium
c. chastice
d. schedule
e. heritage

Item 08

a. liabilities
b. hypertension
c. kernel
d. memento
e. sargeant

Item 09

a. occasionally
b. conscience
c. mispell
d. maintenance
e. Nightingale

Item 10

a. expirience
b. harmonious
c. foreign
d. hierarchy
e. cache

Answers:

1. e – harass
2. a – privilege
3. c – exaggerate
4. b – repetition
5. d – grateful
6. a – argument
7. c – chastise
8. e – sergeant
9. c – misspell
10. a – experience

2018 PCSR Civil Service Review Guide 11

2018 PCSR Civil Service Review Guide 11
Week 11: December 4 – December 10, 2017

PART I: MATHEMATICS

A. PATTERNS and Sequences
Youtube Tutorial Videos (Taglish)

A. Videos
Number Sequence and Series Part 1

Number Sequence and Series Part 2

Number Sequence and Series Part 3

Number Sequence and Series Part 4

B. Articles

A Teaser on Answering Number Series Questions

How to Solve Civil Service Exam Number Series Problems 1

How to Solve Civil Service Exam Number Series Problems 2

How to Solve Civil Service Exam Number Series Problems 3

How to Solve Civil Service Exam Number Series Problems 4

PART II: ENGLISH
A. Vocabulary

B. Spelling

Part III: CLERICAL (Sub-Professional)
Alphabetizing Rules Part 11 with exercises

MORE REVIEWERS
1. Math English Tutorials and more at the PCSR Civil Service Review website:
http://civilservicereview.com

2. More than 700 Taglish Math Tutorials at the Sipnayan Youtube channel:
https://www.youtube.com/user/sipnayanph

3. Sipnayan Website
http://sipnayan.com

Like our Facebook Pages and be updated:

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2018 PCSR Civil Service Review Guide 10

2018 PCSR Civil Service Review Guide 10
Week 10: November 27 – December 3, 2017

PART I: MATHEMATICS
A. PEMDAS

PART I: MATHEMATICS

PEMDAS and ORDER of OPERATIONS

A. Youtube Tutorial Videos (Taglish)

Introduction to PEMDAS

PEMDAS Order of Operations 1

PEMDAS Order of Operations 2

PEMDAS Order of Operations 3

More video

Introduction to PEMDAS

B. Articles

PEMDAS and Order of Operations

PEMDAS Practice Test

PEMDAS Practice Test Answer

PART II: ENGLISH

A. Grammar

How to Answer Word Analogy Questions Part 1

How to Answer Word Analogy Questions Part 2

How to Answer Word Analogy Questions Part 3

A. Vocabulary

B. Spelling

Part III: CLERICAL (Sub-Professional)

Alphabetizing Rules Part 10 with exercises

MORE REVIEWERS

1. Math English Tutorials and more at the PCSR Civil Service Review website:

http://civilservicereview.com

2. More than 700 Taglish Math Tutorials at the Sipnayan Youtube channel:

https://www.youtube.com/user/sipnayanph

3. Sipnayan Website

http://sipnayan.com

Like our Facebook Pages and be updated:

PCSR Facebook Page: https://web.facebook.com/phcivilservicereviewer/

Sipnayan Facebook Page:
https://web.facebook.com/sipnayanph/

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