Numerical Reasoning Practice Test – Civil Service Exam

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.

numerical reasoning sample questions civil service exam

Tips to Pass the Numerical Reasoning Test in the 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.

Numerical Reasoning Test Techniques

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.


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 + _______

addition subtraction decimals

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 =?
multiplication decimals

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)
division decimals


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?
division fractions

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:
convert fraction to decimals

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.


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, ____?

  1. 6
  2. 3
  3. 4
  4. 2

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

  1. 72
  2. 75
  3. 81
  4. 90

3. 13 -21 34 -55 89 ___?

  1. -95
  2. 104
  3. -123
  4. -144

4. AZ CX EV GT ____?

  1. IR KP
  2. IR KQ
  3. IS KQ
  4. IS KP

5. A5 D25 G125 J625 M3125 ____?

  1. P15525
  2. P15625
  3. O15525
  4. O15625

6. What is -25 + 16?

  1. 9
  2. -9
  3. -41
  4. 41

7. What is 107 – (-17) ?

  1. -90
  2. 90
  3. 124
  4. -124

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

  1. 198
  2. -198
  3. 31
  4. -31

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

  1. -100
  2. 100
  3. -23
  4. 23

10. (-560) ÷ 7 = ___?

  1. -80
  2. 80
  3. -553
  4. 553

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

  1. ½ + 2.5 + ¼
  2. ½ + 5/2 + 1/6
  3. ¾ + 2.5 + 1/6
  4. ¾ + 5/2 + 1/3

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

  1. 4
  2. 8
  3. 16
  4. 2

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

  1. 6
  2. 12
  3. 18
  4. 9

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

  1. 15/12
  2.  3/12
  3. 3
  4. 3 1/12

15. 3/9 x 2/3 = ____

  1. 6/27
  2. 2/9
  3. 9/18
  4. 1/9

16. ¾ ÷ 1/8 = ____

  1. 8
  2. 4
  3. 12
  4. 6

17. What is the decimal form of ¾ %?

  1. .0075
  2. .075
  3. .75
  4. .00075

18. Convert 3.4% as a fraction.

  1. 34/100
  2. .34/100
  3. 3.4/1000
  4. 3.4/100

19. What is ¼ in decimal?

  1. .025
  2. .25
  3. 2.5
  4. .0025

20. What is the ratio of ½ to 2/5?

  1. 3:4
  2. 5:4
  3. 1:3
  4. 2:5

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

  1. 212.000
  2. 2,120,000
  3. 212,000
  4. 21,200

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

  1. 2,500,000
  2. 250,000
  3. 25,000
  4. .000025

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

  1. 5
  2. 3
  3. -3
  4. -5

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

  1. -4
  2. -2
  3. 4
  4. 2

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

  1. 9
  2. 8
  3. 10
  4. 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?

  1. 2 years old
  2. 3 years old
  3. 4 years old
  4. 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?

  1. 6 years old
  2. 7 years old
  3. 8 years old
  4. 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?

  1. 91.40
  2. 91.50
  3. 92
  4. 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?

  1. 115 miles
  2. 360 miles
  3. 310 miles
  4. 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?

  1. P3,062.50
  2. P3,260.50
  3. P3,620.50
  4. 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.

Answer Key Civil Service Exam Reviewer

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160 thoughts on “Numerical Reasoning Practice Test – Civil Service Exam”

  1. hi maam…good evening can i ask about your reviewer for csc.mag exam poh ako ngayung parating sa buwan ng marso 2019.gusto ko bumili ng reviewer mo.e wala akung paypal..can i pay poh ba through pera padala.

  2. Hi po…pede din poba makahingi ng complete reviewer po baka sakali madagdagan papo ang aking kaalalam before the exam this coming march 18…

    Thank you po in advance and godbless.

  3. Hello,
    I am very much interested in purchasing the CS Exam Reviewer. Please advise me how and when can I purchase it., Will take the exam this March. Thanks. Hoping to hear from you soon.
    Mia Morales

  4. 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.

  5. Hello po How can i purchased this reviewer po i will be taking next year can you help me how can i buy this reviewer without credit card here’s my email

  6. Hi po Ma’am, patulong naman po kung paano mka purchase ng reviewer with anwer key, wala po kasi akong credit. Paki contact nlang po sa mail ko. Salamat! 🙂

    • Hi Ms. Fehl,

      Pano po iprocess yung payment ng CSC reviewer without the use of paypal.
      Pede po ba ang transfer na lang po.

      Appreciate your response

  7. hai. good day to all.. pwede po ba aq magpasend ng copy nitong csc reviewer sa email q?… i find it very helpful..mag tatake po aq next year and i would like to use this reviewer.. 🙂 please help me..salamat and Godbless always.

  8. hello could anyone please send me a copy of reviewer or another way of payment wala kasi akong credit card. maraming salamat guys

    goodluck to us! this coming august!

    • 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
      x= 2,450/ 80%

    • 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)

  9. Kahit napakahirap ng math sakin atleast may nakuha parin akong idea. Sana pumasa ako. thanks to maam Marifel sa reviewer mo. Napakalaking tulong nito. narefresh ako. 🙂

  10. Hello Ms. Marifel, ask ko lang po if yung reviewer sa homepage if different from your ebook. Need pa ba mag purchase for the complete reviewer. Thanks po.

  11. 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

    • 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

  12. 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

  13. Good eve ma’am ako po Joana Alejo from palawan po, ask ko lang po panu ma avail ang reviewer na ito i have no paypal or anything how can i pay you maam?. i know it will help me to pass the exam this coming october. God bless

  14. I would like to buy one of your reviewer ms. Marifel but I don’t have credit, now my concern is that do you accept Remittance center lbc, cebuana or any?

  15. Hello po. Pwede pong makahingi nang 2016 reviewer. Sige na po pleeeease. ???????????? Send mo nalang po through email. TIA. ????

  16. Hi pwede po ba ako mag avail ng reviewer? magte take po sana ako this October 2016. Wala po ako paypal , Ibang option po sana. po ang email ko

  17. Maam, Im Steven from Davao. I want to have your reviewer? How can I purchase your reviewer? Just email me maam for confirmation: Thank you and Godbless 🙂

  18. hi! Good day! ask lang ako ma’am may latest reviewer ba kayo?.. bibili sana ako through LBC lang or any transmittal center.

    and pwede ba makita ang score ng mga failure 🙂
    grabe nakaka nosebleed naman yong mga underlined words nila haha tsaka ang bilis ng oras.. 1st time ko yun di kasi ako nakapag review kasi marami nagsabi madali lang daw yun pala lahat kaming mag babarkada failed 🙂

    Again, bibili po ako kung may latest or updated reviewer kayo ma’am thanks..

  19. hello ma’am,gusto ko sana bumili ng reviewer nyo magtatake ako ng exam this October 18,2015,kaso wala akong credit card,meron po bang ibang paraan,sana po matulungan nio ako,heto po kontak number ko 09362437386/09124848502

  20. Ma’am I want to buy your CSC reviewer, but I don’t have credit card..Paano po ako makabili? Gustong gusto ko po bumili..Pls help me..

  21. Maam nag try po ako na bumili ng revier mo po na PDF ngunit hindi po ako maka access sa paypal mo. baka ibang paraan nalang po na money reciever. para maka kuha po ako ng CSC reviewer sa inyo salamat po

  22. hi maam fe..

    gusto ko po mag bili ng civil service reviewer sa iyo paano mo wala akong credit card i cash ko lang mag pagbayad lang po ako sa iyo.. personal.. kasi ngayon MAY 3 2015 mag take na po ako.. ng professional ito ang celphone number ko 09161529016 tm .. maam fe ano ang celphone number mo para ma contact po ikaw .. at kailangan ko ng reviewer didto po ako sa mindanao cagayan de oro city

    please help me,…

    good bless

  23. Mam Good morning! Mam gusto ko po sana mag avail ng civil service reviewer kaya la ng po wala po kasi akong credit card, ano po ang aking gagawin ?

  24. 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?

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

  26. I am very thankful sa because i already passed the CSE last april 2014 and now i am planning to take the professinal exam this coming april 2015, still hoping and believing that i can make it with 1taker help and support. 😀

    • 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 ..

      • Hi ma’am fhel, i feel so blessed that i got to visit this site, i had took my cs exam last 2013, but i didn’t make it because i din’t have any review! Now, i’m asking for ur help how to get a copy of d pdf complete reviewer, i don’t have paypal or credit card account?, secondly, i’m unemployed now, but i’d worked bfore for i also qaualified to take d exam?..pls let me know ma’am..thank u so much po…God bless..

  27. Thanks God! Thank you mam Marifel, God used you as instrument to share us your knowledge..proud to say i passed the exam. Sub Professional Level. God bless!

  28. 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..

  29. 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 🙂

  30. helow po .I’m planning to take civil service exam .that’s why I started to review 1taker .kahit hindi man po yan ang lalabas Sa exam okey lng kasi nagbigay po kayo ng idea on hw to solve it .ang mahalaga naishare nyo po yung kaalaman niyo. At ipinagpapasa diyos ko nlang ang lahat .all I can do, Is to do my part .m22nan m ang isang bagay s pamamagitan ng tiyaga s pangunawa At pagintindi .

    #thank you po .Godbless

      • 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 🙂

  31. di ba ganito gagawin sa number 18?

    Example: Express 62.5% as a fraction

    Step 1: Write down:

    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?

      • 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!

        • 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.. 🙂

        • 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..

    • 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


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


    why im getting 91.20 using manual math

  33. 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..

  34. 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”:)

  35. 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. 🙂

  36. 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!

  37. 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….

  38. 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…. 🙂

  39. 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


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