# 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.

## 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.

### 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.

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:

• 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, ____?

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

Answer Key Civil Service Exam Reviewer

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

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5. 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.

• anu nga ba tlga tamang sagot sa number 17??

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

• Q17 is percent to decimal, 3/4% = 75%, the answer should be .0075
Q19 is fraction to decimal, the answer is 0.25

• 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

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

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

• Nah. 75% = 75/100
So, 75/100 = .75

• solution:

1. 3/4% convert first the fraction to decimal: 0.75% is the answer
2. covert the 0.75% note: still in percentage format so we going convert again to decimal. 0.75/100 = 0.0075.

6. maria salome balunsay

pls. give the answers for these

• Gretchen

Plz po pa provide ng answers.. thanks alot

• SageMace

meron silang followed page for the answer key…. hanapin nyo nalang din dito sa website nilang ito….

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8. Lovely Mae Galarion

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! 🙂

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

• ShyNessss

I think its 16, LCF kasi ang hinahanap..

• ShyNessss

I mean LCD.. 🙂

• 2 di ba kasi LEAST common denominator?

• 16 po

• Roberto Batang

16 lang

12. 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!

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

• Sandra

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

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

• Good Day!

Ask lang po pwede mag copy ng reviewer sa email ko. Thanks.

• SageMace

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)

14. emmylou

Hi maam pwd ba mag ask ng copy ng reviewer pwd po ba pa send sa email ko ? Thank you maam . God bless!

15. ang galing..may solusyon pa..na explain ng maayos step by step..goodluck sa mg tatake ngayong MArch po….malaking tulong to….

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19. Yun sa #26 #27 halos pumutok na utak ko sa mga ganyan…. bakit po kaya ganun ang pag solve xD

20. Cheryl dael

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

21. Jonathan

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”

• mark gerald

hindi ba negative 2

• Lucille

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

22. 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

• 4x-2y=28; where x=8
4(8)-2y=28
2y=32-28
2y=4
y=4/2
y=2

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• • 30. kristine

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

• 91..40

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• 38. 39. 