We are sharing here the best Numerical Reasoning practice test for the Civil Service exam. This page includes the most common questions for this part of the CSE. Just like our other posts, we also include effective tips and techniques to get the best and correct answer to every question. Eventually, the PDF version of this whole online reviewer will be done and the release will be announced in this site. Meanwhile, you can just use this free online reviewer because it contains the complete scope of the Civil Service exam anyway.

Even though there is **no calculator allowed**, Quantitative Numerical Reasoning is not so difficult in the Civil Service exam especially if the examinee is very good in Math and logic. It involves mainly with the basic Mathematical processes – addition, subtraction, multiplication and division for fractions, ratios, equations, and some problem solving or word problems. There are many series and sequence-questions as well.

## Tips to pass the Numerical Reasoning Test in Civil Service Exam

- Relax and just enjoy answering your Math quizzes. If you’re relaxed, you’ll never lose focus and that is so important.

- Know the basics of Math like adding, subtracting, multiplying and dividing fractions, ratios, decimals, and equations. If you know these concepts, you’ll surely get everything. Otherwise, you won’t know what to do. (see our techniques below)

- You can use scratch paper for your computations and solutions. Note that you will also have to pass your scratch papers.

- Love Math because it is easy for someone who loves Math.

- Focus in solving problems. Think, analyze, and solve.

- Pray before the exam. It always helps.

## Techniques in Numerical Reasoning Test

For the purpose of reviewing better, I’m going to share here some concepts of Math because like I said, you have to know the basics before you solve everything. I know I have to share these because this is an online reviewer in the first place. Reviewing is practice.

### Decimals:

For **Addition and Subtraction**, it is very simple and easy. Just line up the given numbers though their decimal point. If it has no decimal point, put one or convert one. Put zeros to complement the numbers if needed.

I remember there are many questions about decimals when I took the exam. Lots involve with multiplication and division. Same with fractions, I think I enjoyed that part so much because fractions are my thing.

**Examples:**

5.98 + 6 + ¾ = ______

1.25 + 1.5 + 7.875 ______

25 – 8.35 – 1.3 + _______

For **Multiplication**, don’t take it too hard because it is very simply too. Just multiply the numbers and count the decimal places to the right of the given numbers then move in that decimal (count) from the right answer to the left.

**Example:**3.05 x 1.4 =?

For **Division**, you have to divide the classic way by making the divisor a whole number. You need to move the decimal place to the right to make it a whole number then do the same way with the dividend. Add zeros to the dividend if necessary. See example below.

**Example:**0.35 ÷ 1.4 (0.35 is the dividend and 1.4 is the divisor here)

### Fractions:

Some of the questions in Math and Quantitative Numerical Reasoning tests involve with fractions because they are also related to decimals, percent, mixed numbers and algebraic expressions. Again, if you master solving fractions, it will be a great edge for you.

**Addition and Subtraction of Fractions**

In this process, the easiest way is to always simplify the fractions by finding the LCD aka least common denominator, then apply the operation. If the result is improper fraction (numerator is bigger than denominator), simplify it too by giving the mixed number. Watch this helpful video.

**How to Multiply and Divide Fractions?**

To multiply fractions is easier. Just multiply both the numerator then multiply both the denominator. Simplify the product is you must.

**Example:**½ x ¾ = 3/8

To divide fractions, inverse the second fraction then we follow the rules in multiplication. You can also cross-multiply the given fractions.

**Example:**How many 1/3’s are there in ½?

### Converting Fractions to Decimals and vice versa:

In converting fractions to decimals, just divide the numbers and round them off.

- Examples:

1/3 = .333

5/8 = .625

7/8 = .875

Another way is to find a number to multiply by the denominator to make it 10, 100 or 1000…

- Example:

### Positive and Negative Numbers:

**Addition and Subtraction**

- Positive + Positive = Positive

- Negative + Negative = Negative

- Positive + Negative = Subtract the two and use the sign of the bigger number

- Positive – Negative = Change the sign of the Subtrahend and follow the rules of Addition

- Negative – Negative = Change the sign of the Subtrahend and follow the rules of Addition

** Multiplication and Division:**

- Multiplying and dividing numbers with similar sign equals Positive ( + x + = +) and (– x – = + )

- Multiplying and dividing numbers with different signs equals Negative ( + x – = – ) and ( – x + = – )

### Number Series and Sequence:

There are also logical sequence and number series in this Math exam. Of course you have to find the next number from the pattern. You will know the right answers by applying the same method you used in a sequence to get the next number or the next.

**Examples:**

3, 5, 7, 9, 11, 13

2, 4, 8, 16, 32, 64, 128

### Problem Solving:

We cannot miss to include this scope here because every Math exam has problem solving. The key to find the correct answers is to analyse the given case well and understand what is being asked. Apply your magical Math logic.

## Numerical Reasoning Test Samples:

**Instruction:** Solve the following Math quizzes.

1. 2187, 729, 243, 81, 27, 9, ____?

- 6
- 3
- 4
- 2

2. 1, 4, 9, 16, 25, 36, 49, 64, ___ ?

- 72
- 75
- 81
- 90

3. 13 -21 34 -55 89 ___?

- -95
- 104
- -123
- -144

4. AZ CX EV GT ____?

- IR KP
- IR KQ
- IS KQ
- IS KP

5. A5 D25 G125 J625 M3125 ____?

- P15525
- P15625
- O15525
- O15625

6. What is -25 + 16?

- 9
- -9
- -41
- 41

7. What is 107 – (-17) ?

- -90
- 90
- 124
- -124

8. (-9) (-22) = ____?

- 198
- -198
- 31
- -31

9. (21) (-4) + (8) (-2) = ____?

- -100
- 100
- -23
- 23

10. (-560) ÷ 7 = ___?

- -80
- 80
- -553
- 553

11. 6/8 + 2 ½ + 4/12 is also the same as?

- ½ + 2.5 + ¼
- ½ + 5/2 + 1/6
- ¾ + 2.5 + 1/6
- ¾ + 5/2 + 1/3

12. What is the Least Common Denominator of 1/8, ¾, and 1/16?

- 4
- 8
- 16
- 2

13. What is the Greatest Common Factor of 36 and 54?

- 6
- 12
- 18
- 9

14. What is the sum of ½ + 8/4 + 6/12 ?

- 15/12
- 3/12
- 3
- 3 1/12

15. 3/9 x 2/3 = ____

- 6/27
- 2/9
- 9/18
- 1/9

16. ¾ ÷ 1/8 = ____

- 8
- 4
- 12
- 6

17. What is the decimal form of ¾ %?

- .0075
- .075
- .75
- .00075

18. Convert 3.4% as a fraction.

- 34/100
- .34/100
- 3.4/1000
- 3.4/100

19. What is ¼ in decimal?

- .025
- .25
- 2.5
- .0025

20. What is the ratio of ½ to 2/5?

- 3:4
- 5:4
- 1:3
- 2:5

21. 2.12 is multiplied by 10 to the sixth power is?

- 212.000
- 2,120,000
- 212,000
- 21,200

22. 25 is multiplied by 10 to the fifth power is?

- 2,500,000
- 250,000
- 25,000
- .000025

23. Find the value of x in the equation: 5x + 25 =10

- 5
- 3
- -3
- -5

24. If x=8, find the value of y in the equation: 4x – 2y = 28.

- -4
- -2
- 4
- 2

25. Find the value of x if y= 8 in the equation: 2x + 4y = 50

- 9
- 8
- 10
- 4

** Problem Solving / Word Problems:**

26. Kit is twice as old as his friend Sam. Sam is 5 years older than Cara. In 5 years, Kit will be three times as old as Cara. How old is Sam?

- 2 years old
- 3 years old
- 4 years old
- 5 years old

27. James’s dad is 5 times older than James and James is twice as old as his sister Sara. In two years, the sum of their ages will be 58. How old is James now?

- 6 years old
- 7 years old
- 8 years old
- 9 years old

28. Cathy scored 85, 87, 90, 95, and 100 in her Math exams. What will be her average grade in Math from this period?

- 91.40
- 91.50
- 92
- 93.50

29. Letty left home and drove at the rate of 50 miles per hour for 2 hours. She stopped for lunch then drove for another 4 hours at 65 mph to reach Los Angeles. How many miles did Letty drive to reach LA?

- 115 miles
- 360 miles
- 310 miles
- 100 miles

30. Michelle went to SM for the 3-day sale. She bought a new pair of shoes and paid only P2,450 discounted for 20% off. What was the original price of the shoes?

- P3,062.50
- P3,260.50
- P3,620.50
- P3,026.50

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If you want the correct answers for this test, **Download our Answer Key PDF eBook below.** All solutions and Explanations are there.

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dadi benj says

guys sa 17 po kasi db .75 naman tlaga ang percentage

but think of this,ang hinahanap ay in decimal form not in percentage kaya convert it into decimal then i’ve got 0.0075.

makoy says

anu nga ba tlga tamang sagot sa number 17??

makoy says

peron same question lang sila sa number 19..yung answer ng 19 naka base dun sa sample..

jade says

Q17 is percent to decimal, 3/4% = 75%, the answer should be .0075

Q19 is fraction to decimal, the answer is 0.25

raku says

3/4% is also 75% so it means 75% is 0.75.

just like 1% is 0.01.. 10% is .10 .. and so on..

Wengski says

sa #17, no computation needed. Convert 3/4 to decimal lang ang sabi ng question, .75 lang ang sagot.

ghad says

#17 fraction to decimal : 3/4 = .75

fraction to percentage: 3/4 = 75%

Louie says

Nah. 75% = 75/100

So, 75/100 = .75

maria salome balunsay says

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Jick says

hi po dun po sa no. 12 diba dapat po 32 po ung sagot

ShyNessss says

I think its 16, LCF kasi ang hinahanap..

ShyNessss says

I mean LCD.. 🙂

K says

2 di ba kasi LEAST common denominator?

Cams says

16 po

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Joa Cj says

di ko gets ang #30 .. bakit e divide sya sa 80% ?? help nman

Sandra says

x= orig. price

y= value of 20% discount

1) To get the value of 20% discount:

x (20%) = y or x(0.2) = y

2) To get the orig. price:

x = 2,450 + y

3) substitute the value of y from the 1st equation:

x= 2,450 + (x(0.2))

x-x(0.2)= 2,450

0.8x = 2,450

0.8x / (0.8) = 2,450 / (0.8)

===>>>>> x= 2,450/0.8

or

x= 2,450/ 80%

Mariel Amoroso says

For you to get the amount of the shoes without discount 2,450/0.80= 3,062.50

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SageMace says

find the original price:

Equation OP = DP / P

=2,450 (Discounted Price) / 80% or 0.80 (Percent without Discount)

= 3,062.5 (Original Price)

The question is, where 80% comes from?

–> from 100%(standard) – 20%(discounted) = 80% (not discounted)

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Cheryl dael says

22/30… need.to try another set of questions

Jonathan says

Ma’am marifel good day… patulong po sana ako regarding sa problem #24, d ko magets how it ended to y=2

If x=8, find the value of y in the equation: 4x – 2y = 28.

Ans: y=2

Chris says

sol’n is:

if x=8:

4x-2y=28 – “replace x with 8” bcos the problem says x=8

4(8)-2y=28 – “multiply 4 to 8”

32-2y=28 – “Transpose 32 to the other side”

2y=28-32 – “the transposed 28 would be converted to -28”

2y=2 – “divide 2y and 2 with 2 to cancel 2y”

y=2 – “answer is 2

mark gerald says

hindi ba negative 2

Lucille says

solution:

if x=8

4(8)-2y=28

32-2y=28

-2y=28-32

-2y= -4

———

-2 -2

y= 2

note: negative divided by negative = positive

jopax says

Mam marifel, good day to you… d ko po magets ung formula sa question #24 po… its been 24 hours tyring to figure it out how it ended y=2… please thanks po maam

mimic says

4x-2y=28; where x=8

4(8)-2y=28

2y=32-28

2y=4

y=4/2

y=2

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kristine says

ano pong answer sa numerical reasoning number 28 wala po kasi sa answer keys salamat

dette says

91..40

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Ancris says

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JM says

Another concern lang po, number 17. Sa answer key po, 0.0075. Pero di po magcoincide sa explaination. if 3/4% is = to 75% or 75/100 then it should be 0.75? Tama po ba?

Marifel Dungo says

That’s one of the tricky questions and I’ve explained why the answer is that in the previous comments here. Please read nalang po. God bless!

angel says

0.0075 is the correct answer because, 3/4 = 0.75 . then, to get the percentage, divide it by 100 . so, 0.75/100 = 0.0075 .

Janica Madrid says

Nalilito lang po ako. Number 13 sa Numerical Reasoning. Sa Sample Test 36 and 54, sa answer key 36 and 64. Pakilinaw po Please.

angel says

if the given is 36 & 54, the GCF is 9.

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nakahara says

Mam ang sgot po ata s no 12 ung s LCD is 4 not 16 po 🙂

vic says

I think tama po ang 16 as LCD

1/8 ,3/4, 1/16

16 ang lcd kasi yan ang pwede mo gamitin na denomnator sa tatlo pag i add or subtract… 4 cant be on 1/8 and 1/16

Sana nakatulong po

Check ulit ang rules sa addition and subration of fraction ..

Thanks

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Marifel Dungo says

Please contact us so we can email you about other payment options. Contact us here: http://1taker.com/contact-us/

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Marifel Dungo says

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Marifel Dungo says

It’s a pleasure 🙂 I’m so happy many have passed the recent CS exam using my reviewer. 🙂

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jemlen says

Hi Ma’am Marifel,

Just want to thank you po sa mga pointers na binigay nyo, it helped po talaga sa mga dapat na aralin, mostly po kasi ng exam na lumabas this oct math, na hindi ko naexpect. But luckily i passed po the exam. Salamat po ulit..

Marifel Dungo says

I feel I passed the exam again when I receive great news like this 🙂 Congrats!

Tj_05 says

ma’am kailan po b ulit ang exam ? pwede ko po bang malaman para alam ko po .ndi po kc ako nkahabol nung last exam .:-)

I tried to solve those problems ,meron po akong ntu2nan ma’am logically. super thank you po tlga .I appreciate your Goodness and willingness n mkatulong s mga ndi p nkakaalam ng techniques s pgsosolve .hehe .blessings ka tlga sa amin ma’am .sna ndi k mgsawang ishare ang iyong kaalaman .

#God is good .all the time 🙂

ingat po kayo ma’am and Godbless po 🙂

Tj_05 says

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#thank you po .Godbless

Marifel Dungo says

Thank you TJ 🙂 You can make it!

basir s. daiyan says

thanks !

basir s. daiyan says

It needs to be answered!

earol 73 says

gug pm mam pwede mag ask how to solve this problem 107 – (-17)=

Marifel Dungo says

Change the sign of the subtrahend and follow the rules in Addition.

The answer is 124

annie says

THANKS

chen says

ano po answer nmber 28? wala po kase sa answer key

jeff says

tnx!!! maam

tony says

please help me on age problem and work problem also on average problem.. thanks

asd says

please check the answer for number 17. it must be .75 and not .0075

Marifel Dungo says

I’ve already explained this tricky question from the previous comments.

tony says

what is the answer in num 17,, i cant find your answer

Iya says

I cant find it too.. :'(

Gerald says

tama po ang mga nsa answer key . . . tnx a lot maam.

paul says

yung number 17… Bakit po naging .0075? dapat dba .75? hmm nakakalito haha

3/4% = 75% ibig sabihin .75 din sya?

Marifel Dungo says

I have mentioned the explanation in the previous comments.

khim says

3/4% is equal to 0,75% beacause 3/4 is equivalent 75/100 or 0.75 , thats why when you transpose3/4% to decimal form you can get o.oo75..

just like for example:

3 and 3/4% is equivalent to 3.75% so when you transpose it to decimal form, you can get 0.0375…

thats what i understand in number 17 🙂

jay ar fer says

Thanks ma’am for the info..

Alucard says

di ba ganito gagawin sa number 18?

Example: Express 62.5% as a fraction

Step 1: Write down:

62.5/100

Step 2: Multiply both top and bottom by 10 (because there is 1 digit after the decimal place)

62.5/100 = 625 /1,000

(See how this neatly makes the top a whole number?)

Step 3: Simplify the fraction (this took me two steps, you may be able to do it one!) :

625 /1,000 = 25/40 = 5/8

Answer = 5/8

paano po ba?

paul says

oo nga.. hahaha nakakalito.. ganyan kc ung nakita kong format

Iya says

Hi, just a clarification,

RE: 17. What is the decimal form of ¾ %?

Answer: .0075 because ¾ is 75 percent or 75/100.

Manually, I got 3.) .75.

To check using calculator and excell conversion, I was correct.

75 divided by 100 is also .75.

Why is your answer .0075? Have you divided it again over 100?

Thank you!

CJ says

3/4 is equal to 0.75

thus, 3/4% is 0.75%

converting fraction by moving decimal point to the left 2 times..

you will get 0.0075.

tingin ko po, ganun un.. 🙂

vic says

3/4 percent is different from 3/4 as fraction.

3/4=75 percent

while 3/4 percent = .75 percent

kindly check again.

thanks and hope mas clear..

vic says

Tama po ang approach niyo pero express as fraction ang tanong..although yung example niyo na 62.5 percent to fraction. Ang approach ko jan since na 62.5 percent is equal to .625 as decimal pwede po na 62.5/100 same as .625

#18 same po..

3.4percent =.o34

So pwede na 3.4/100 same as .034

Thanks

j0emar says

Cathy scored 85, 87, 90, 95, and 100 in her Math exams. What will be her average grade in Math from this period?

91.40

91.50

92

93.50

why im getting 91.20 using manual math

vic says

85+87+90+95+100=457/5=91.4

Yan po ang pagkakaintindi ko jan

Kindly check ulit

thanks

azis says

gud day ma’am marifel pasend naman ng copy ng reviewer wala po ako credit card nor paypal account… send me nlang instruction panu magbayad salamat..

Marifel Dungo says

contact me at fehl25@gmail.com

Marvin del Rosario says

Good Day! Thanks for the information.

elizabeth calimag says

hopefully this coming oct. 26, 2014 maipasa ko na ang civil service exam, professional. 🙂 sana lahatng nareview ko dito is lalabas lahat. in jesus name. amen… 🙂 “GOD IS GOOD”:)

Marifel Dungo says

This reviewer is designed to help the CSE candidate to pass his/her exam in one take. 🙂

Amor says

Hi Ma’am. This is my first time to take a civil service exam. I just read books, review some, and solve less. But i have a feeling that this going to be good. 🙂

Marifel Dungo says

That’s great to hear 🙂 Thank you Amor!

sheirajin says

I hate math. :’p but i need to pass the exam, 🙁

tsk. a lot of time to consume at this numerical reasoning part. :/

and i feel dizzy seeing numbers. @_@ ahaha. fighting!

Khael says

Mam maitanong ko lang sana,, kong lahat ba nang form nang equation lalabas sa exam? diba marami yun may linear, quadratic, exponential, logarithmc etc.. sorry po sa tanong ko NOOB talaga ako pag dating dito:D hehe thanks….

Marifel Dungo says

Basic equations lang

Ruby says

I guess hindi ito ang eksatong lalabas sa exam pero, it would help us a lot…. ngayon ko lang ulet nareview ang fractions and decimals… thanks for your help… I hope i could pass…. 🙂

Hannah says

Hi there,

I was wondering if eto mismong test samples ang lalabas sa mismong exam?

Bobokoh says

A very useful tips and information 🙂 inquire din about on line review thanks

dexter john says

hi mam…my i know the answer for this page..check klng kung tama ung sagot ko…ill w8 po..#thank you

Khael says

http://1taker.com/answer-key-and-tips-for-civil-service-exam-reviewer/

marites says

maam penge answer key pls…

Marifel Dungo says

Correct answers, explanations and solutions are all posted in this page: https://payhip.com/b/RcBD

joel says

please send me the correct answers and solution of these,thank you.

merwin says

i have a problem in solving x y etc. kindly give me an example on that type of a test..

nica daluz says

im not good in math but i want to pass the exam … pls help me . thanks a lot :’)

rosalina anides says

Pls give me solutions and anwers

Marifel Dungo says

Correct answers and solutions are available in the Answer Key page. 🙂

Rina M.Matanguihan says

Hi mam good afternoon i am interested to take the civil exam yhis october 26, 2014. Do i have to enroll on a review center? Please help. Kindly recommend. Thank you

Marifel Dungo says

No, you don’t have to enroll. Just go to the complete page of this online reviewer and you’re good to go 🙂 You can surely pass it 🙂

mc niel says

please give the right answer and solution???

Janette Salazar says

Ma’am please give me the answer..thank you

mc niel says

answer please and solution?

Marifel Dungo says

Answers and solution are posted in our homepage 🙂

cristy says

Hello ma’am, i would like to ask for the answers on the numerical reasoning problems. Thank you!

Marifel Dungo says

See the answer key on our new post 🙂

Len says

Hi Ma’am, answers po sa numerical reasoning. Thanks po.

kentoyz says

ANSWER PLEASE…CHECK KO LNG PO KUNG TAMA YUNG MGA SAGOT KO…SALAMATS!

Marifel Dungo says

They are posted in the Answer Key page (see our homepage)