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Civil Service Commission Professional or Sub-Professional Reviewer - Page 1/159

Mathematics Test I - Page 1

Select the best answer for each and write the appropriate letter in the blank.


_________1. 16 + 4 x (7 + 8) - 3 = ________?
  1. 117
  2. 145
  3. 73
  4. 65
_________2. (18 + 17) (12 + 9) - (7 x 16) (4 + 2) = ________?
  1. 53
  2. 63
  3. 321
  4. 323
_________3. The sum of 73, 2891, 406 and 98 is _______?
  1. 3468
  2. 3486
  3. 3648
  4. 4648

_________4. Which of the following numbers is divisible by 24 ?
  1. 192
  2. 268
  3. 248
  4. 596
_________5. Which of the following numbers is prime?
  1. 57
  2. 87
  3. 89
  4. 91
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Mathematics Test I - Page 2

6. The product of 18 and 73 is ______?
  1. 1304
  2. 1324
  3. 1314
  4. 1342
7. The difference of 476 and 182 is _______?
  1. 654
  2. 86632
  3. 314
  4. 294
8. Evaluate    1    +    2    +  3  = ______?
                  100      1000    10
  1. 0.213
  2. 0.312
  3. 0.123
  4. 0.231
9. Evaluate ½ + ¼ + ⅛ _________.
  1. 3/14
  2. 3/16
  3. 3/12
  4. 7/8
10. Seventy-one and twenty-one ten thousandths is written in standard form as :
  1. 71.2100
  2. 71.0021
  3. 71.210000
  4. 71,2100
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Mathematics Test I - Page 3

11. One thousand forty two and seven thousandths written form is _____?
  1. 1042.7000
  2. 10,427,000
  3. 1042.007
  4. 1042.0007
12.  1  +  5  +  1  = _______?
       3      6      2
  1. 1 and 2/3
  2. 7/11
  3. 1 and 1/3
  4. 3/5
13. 3 ½ - 1 = ________?
  1. 1 and 1/6
  2. 5 and 1/6
  3. 6 and 1/5
  4. 1 and 5/6
14. 900 x 0.09 = _________?
  1. 0.81
  2. 8.1
  3. 81
  4. 810

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Civil Service Commission Professional or Sub-Professional Reviewer - Page 4/159

Mathematics Test I - Page 4


15.  7  ÷  21  = ___________?
       8      4
  1. 1/6
  2. 1/3
  3. 1 and 1/2
  4. 2/3
16.  3  x  10  = ______?
      5       3
  1. 13/15
  2. 2
  3. 1/2
  4. 3/25
17. 3.156 x 0.12 = ________?
  1. 0.37872
  2. 3.7872
  3. 37.872
  4. 378.72
18. 5 ½ ÷ 2 = ______?
  1. 2 and 5/14
  2. 12 and 5/6
  3. 6/77
  4. 2 and 2/3
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Mathematics Test I - Page 5


19.  2    +    4  = _________.
        1        1  
        2        3
  1. 1 and 1/5
  2. 7 and 1/5
  3. 15
  4. 30
20. 3% of 24 = _____?
  1. 0.72
  2. 7.2
  3. 72
  4. 720
21. 1402 + 142 + 14.2 + 1.42 = _________?
  1. 15596.2
  2. 1559.62
  3. 155.962
  4. 155962
22. 2010 x 0.0001 = _________?
  1. 0.0201
  2. 0.201
  3. 2.01
  4. 20.1
23. Find the average of 6.8, 3.5, 9.2, 7.45, and 6.05.
  1. 6.0
  2. 6.6
  3. 66
  4. 660
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 6/159

Mathematics Test I - Page 6

___________24. 47 x 0.05 = ________?
  1. 23.5
  2. 2.35
  3. 0.235
  4. 0.0235
___________25. 87 / 0.01 = __________?
  1. 8700
  2. 870
  3. 87
  4. 8.7
___________26. (0.5) (5) (0.5) = ________.
  1. 0.0125
  2. 0.125
  3. 1.25
  4. 12.5
___________27. Dividing by 0.2 is the same as multiplying by ________?
  1. 1/2
  2. 0.5
  3. 2
  4. 5
___________28. 0.012 ÷ 3 = ________?
  1. 0.0004
  2. 0.004
  3. 0.04
  4. 0.4
___________29. 2.944 ÷ 0.23 = _______?
  1. 0.128
  2. 12.8
  3. 1.28
  4. 128

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Civil Service Commission Professional or Sub-Professional Reviewer - Page 7/159

Mathematics Test I - Page 7


30.  0.25 + 0.25 + 0.25 + 0.25  = _________?
                         0.25
  1. 0.75
  2. 7.5
  3. 4
  4. 0.04
31. 0.0088 ÷ 0.22 = ________?
  1. 4
  2. 0.4
  3. 40
  4. 0.04
32. (0.15 x 0.37) + (0.85 + 0.63) + (0.15 + 0.63) + (0.85 + 0.37) = _______?
  1. 0.0555
  2. 0.5355
  3. 1
  4. 0.9
33. Which of the following best approximate 68 / 0.17 = ____?
  1. 0.4
  2. 4
  3. 40
  4. 400
34. The decimal from of 11/6 is ______?
  1. 1.83
  2. 1.86
  3. 0.83
  4. 0.67
35. 5/9 of what number is 435 ?
  1. 288
  2. 87
  3. 783
  4. 29
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Mathematics Test I - Page 8

36. Which of the following fractions is the greatest?
  1. 1/10
  2. 0.1/0.10
  3. 1/0.01
  4. 1/0.001
37. 4.7 - 3.12 = _______?
  1. 1.58
  2. 1.62
  3. 2.65
  4. 1.52
38. 19.4 - 12.72 + 5 ______?
  1. 1.471
  2. 14.71
  3. 12.68
  4. 11.68
39. 27  ÷ -3  = _______?
      32      8
  1. 2 and 1/4
  2. -2 and 1/4
  3. 4 and 1/2
  4. -4 and 1/2
40. 2 ¾ x 4 = ________?
  1. 8 and 3/4
  2. 5
  3. 11
  4. 12

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Mathematics Test I - Page 9


_________41.  -1  +  5  = _______.
                       4      6
  1. 7/12
  2. 1 and 1/12
  3. 5/12
  4. 1 and 1/4
_________42. (-11.1) + (12.32) = _________.
  1. -1.22
  2. 12.2
  3. 1.22
  4. -12.2
_________43. What % of 50 is 15?
  1. 15%
  2. 25%
  3. 30%
  4. 35%
_________44. What % of 12 is 6 ?
  1. 50%
  2. 200%
  3. 6%
  4. 2%
_________45. 36 / 720 = __________?
  1. 20
  2. 200
  3. 5
  4. 0.05
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 10/159

Mathematics Test I - Page 10

__________46. What is 1/4 % of 880?
  1. 0.22
  2. 2.2
  3. 22
  4. 220
__________47. What % of 2 and 1/2 is 1/2 ?
  1. 1/2 %
  2. 5%
  3. 20 %
  4. 25 %
__________48. 180 is 66  % of what number?
  1. 120
  2. 150
  3. 210
  4. 270
__________49.  of what number is 42 ?
  1. 7
  2. 14
  3. 126
  4. 84
__________50. 8 ⅓ - 2  5  = ________?
  1. 6 and 7/24
  2. 6 and 17/24
  3. 5 and 17/24
  4. 6 and 4/5

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Civil Service Commission Professional or Sub-Professional Reviewer - Page 11/159

Mathematics Test II - Page 11

Select the best answer for each and write the appropriate letter in the blank.

_________1. 27, 499 round to the nearest hundred is _______?
  1. 27, 400
  2. 27, 500
  3. 27, 000
  4. 28, 000
_________2. Twenty-four weeks is how many days?
  1. 140
  2. 168
  3. 176
  4. 196
_________3. Five hundred ninety-five days is how many weeks?
  1. 119
  2. 95
  3. 85
  4. 75
_________4. Eighteen bus loads of 56 students each went to join the Independence Day Celebration. One hundred seventy-four did not go. How many students are there in all?
  1. 160
  2. 1282
  3. 180
  4. 1182
_________5. Richard bowled 3 games and got scores of 139, 153, and 128. What was his average score for the three games?
  1. 130
  2. 140
  3. 150
  4. 160
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 12/159

Mathematics Test II - Page 12

________6. What time will it be 3 and 1/2 hours after 7:15 PM?
  1. 3:45 AM
  2. 10:45 AM
  3. 3:45 PM
  4. 10:45 PM
________7. What time was it 3 and 1/2 hours before 7:15 AM?
  1. 3:45 AM
  2. 10:45 AM
  3. 3:45 PM
  4. 10:45 PM
________8. The fraction 52 / 91 expressed in lowest term is _____?
  1. 4/7
  2. 2/3
  3. 3/7
  4. 7/13
________9. Car A averages 8 km per liter of fuel. Car B averages 12 km per liter of fuel. If the price of fuel is $10 per liter. How much less would a 600 - km. trip cost for Car A than for Car B?
  1. $ 250
  2. $ 500
  3. $ 600
  4. $ 750
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 13/159

Mathematics Test II - Page 13

_________10. Change 31/17 to a mixed number.
  1. 14 and 1/17
  2. 4 and 1/17
  3. 2 and 3/7
  4. 1 and 14/17
_________11. 40 is what part of 64?
  1. 7/8
  2. 3/8
  3. 5/8
  4. 1 and 3/5
_________12. Change 13  3  to an improper fraction.
                                       7
  1. 91/7
  2. 39/7
  3. 273/7
  4. 94/7
_________13. What is the average speed in kph of a car travelling 160 kilometers in 5 hours?
  1. 32
  2. 40
  3. 80
  4. 90
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 14/159

Mathematics Test II - Page 14

14.  3  +  1  +  1  = ___________?
       4      6      8
  1. 5/8
  2. 1 and 1/24
  3. 1/16
  4. 3/8
15. 15  1  - 8  3   = ___________?
            3        4
  1. 6  and 7/12
  2. 7  and 2/3
  3. 8 and 2/7
  4. 7 and 2/7
16. 8 inches is what part of a foot?
  1. 2/3
  2. 7/12
  3. 4/5
  4. 5/6
17. If 4 workers can complete 8 identical jobs in 4 days, how long will it take 6 workers to complete 12 such jobs?
  1. 3 days
  2. 4 days
  3. 5 days
  4. 6 days
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 15/159

Mathematics Test II - Page 15

____________18. A bookstore sells two kind of MSA Reviewer Books. "College Admission Test Reviewer (CATR)" and High School Entrance Test Reviewer (HSETR)". If it sells the CATR which yield a profit of $62.00 per book, and it can sell 300 books in a month. It sells the HSETR at a profit of $50.50 per book and it can sell 350 books in one month. Which type of book will yield more profit per month, and by how much?
  1. The HSETR will yield a greater profit by $ 925.
  2. The CATR will yield a greater profit by $ 925.
  3. Both books will yield exactly the same profit
  4. The CATR will yield a greater profit by $ 1150.
____________19. Mr. Jose Suobiron inherited 5/8 of his father's estate. He sold 2/5 of his share. What part of the entire estate did he sell?
  1. 1/2
  2. 1/4
  3. 2/5
  4. 3/8
____________20. 13 and 1/3 ounces is what part of a pound?

(16 ounces = 1 pound)
  1. 2/3
  2. 5/6
  3. 3/4
  4. 7/8
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 16/159

Mathematics Test II - Page 16

__________21. 126 is 3/7 of what number?
  1. 54
  2. 84
  3. 119
  4. 294
__________22. A roll of ribbon 51 yards long is to be divided into 408 equal parts. How many inches is the length of each part?
  1. 3.5
  2. 4.5
  3. 5.5
  4. 6.5
__________23. A water tank is 7/8 full. When 21 liters of water is drawn out, the tank is 5/8 full. What is the total capacity of the tank in liters?
  1. 63
  2. 84
  3. 87
  4. 93
__________24. A painter completes 2/9 of a job in 3 days. At this rate, how many more days will it take him to finish the job?
  1. 7.5 days
  2. 9.5 days
  3. 10.5 days
  4. 13.5 days
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 17/159

Mathematics Test II - Page 17

_________25. A boy spent $320, which was 5/7 of what he had originally. How much did he have originally?
  1. $ 438
  2. $ 448
  3. $ 476
  4. $ 576
_________26. 0.0075 x 1000 = ___________?
  1. 0.075
  2. 0.75
  3. 7.5
  4. 75
_________27. Express 0.572 as a common fraction in lowest term?
  1. 71.5 / 125
  2. 35.75 / 62.5
  3. 14 / 25
  4. 143 / 250
_________28. Of the following which is the closest approximation to the product 0.33 x 0.41 x 0.625 x 0.83 = _____?
  1. 3/8
  2. 3/4
  3. 6/41
  4. 5/72
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 18/159

Mathematics Test II - Page 18

__________29. Dividing by 0.125 is the same as multiplying by _________?
  1. 3/8
  2. 1/4
  3. 1/8
  4. 8
__________30. If a copper wire is 3.7 feet long, its length in inches is ________?
  1. less than 40
  2. between 40 and 44
  3. between 44 and 45
  4. more than 45
__________31.         9       = _________?
                        0.09 x 0.9
  1. 9/1000
  2. 9/100
  3. 100/9
  4. 1000/9
__________32. How much money can be saved by buying 72 pens at $90 per  dozen than buying them for $7.75 each?
  1. $ 0.25
  2. $ 3.00
  3. $ 12.00
  4. $ 18.00
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 19/159

Mathematics Test II - Page 19

__________33. Two countries produce 1/8 and 3/10 respectively of the world production of aluminum. What fraction of the world production do the two nations produce together?
  1. 7/40
  2. 3/40
  3. 17/40
  4. 21/40
__________34. Of 20 is 25 % of x + 7, then x = ________?
  1. 73
  2. 80
  3. 87
  4. 93
__________35. If 5 x 5 x Z = 15 x 15 x 15, then Z = _________?
  1. 45
  2. 30
  3. 105
  4. 135
__________36. The morning class in school begin at 8:05 AM and end at 12:00 noon. There are five class periods of 45 minutes each with equal intervals between classes. How many minutes are there in each interval?
  1. 2
  2. 2.5
  3. 3
  4. 4.5
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 20/159

Mathematics Test II - Page 20

___________37. Every seat in a bus was taken and 7 people were standing. At the next stop 15 people got off and 3 got on. How many seats were empty after this stop if everyone was seated?
  1. 3
  2. 5
  3. 7
  4. 10
___________38. A boy scored 134, 145, and 150 in his first 3 games. What score must he make on his next game so that his average for the four games will be 149?
  1. 163
  2. 165
  3. 167
  4. 170
___________39. Angelo can type 9 pages in 12 minutes. How many pages can he type in 8 hours at the same rate?
  1. 180
  2. 360
  3. 390
  4. 540
___________40. Girlie starts cleaning the yard at 10 AM and by 11:20, she has finished 4/5 of it. If she continues working at the same rate, at what time will she finish cleaning the yard?
  1. 11 : 10 AM
  2. 12 : 20 AM
  3. 11 : 40 AM
  4. 11 : 52 AM
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 21/159

Mathematics Test II - Page 21

____________41. If 3/8 of a certain number is 2/5, what is 3/4 of that same number?
  1. 1/5
  2. 2/5
  3. 3/5
  4. 4/5
____________42. A bus travels 240 kilometers at 60 kph and then returns at 40 kph. What is the average speed in kilometers per hour for the round trip?
  1. 48
  2. 49
  3. 50
  4. 52
____________43. Mr. Albelda drives his car at the rate of 60 miles per hour. What is his rate in feet per second?
  1. 66
  2. 76
  3. 86
  4. 88
____________44. What is 0.05 percent of 6.5 ?
  1. 0.00325
  2. 0.0325
  3. 0.325
  4. 3.25
____________45. At Rosa Alvero Street, in Loyola Heights there are 8 towns houses and 52 private individual homes. What is the ratio of town houses to private individual homes?
  1. 2 : 27
  2. 2 : 13
  3. 1 : 13
  4. 4 : 13
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 22/159

Mathematics Test II - Page 22

__________46. If it takes 16 pipes 10 hours to fill 8 tanks, how long will it take 12 pipes to fill 9 tanks?
  1. 10 hours
  2. 12 hours
  3. 13 hours
  4. 15 hours
__________47. Mr. Cruz borrows $360,000. If he pays back $378,000 after one year, what is his interest rate?
  1. 1.5%
  2. 4.5%
  3. 5%
  4. 7.5%
__________48. If 6 men need $3,600 worth of food for a three-day camping trip, how much will 2 men need for a 15-day trip?
  1. $ 3, 600
  2. $ 4, 800
  3. $ 5, 400
  4. $ 6, 000
__________49. What is 6% of 2.5 ?
  1. 5/3 %
  2. 15
  3. 3/20
  4. 3/5
__________50. What is the value of 60 x 31 x 36 x 7 ?
  1. 468, 720
  2. 468, 721
  3. 468, 722
  4. 468, 723
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 23/159

Mathematics Test III - Page 23

Select the best answer for each and write the appropriate letter in the blank.

_________1. If 9x - 7 = 18y then  9x - 7  = ________?
                                                        6
  1. 2y
  2. 3y
  3. 6y
  4. y + 6
_________2. A student buys an MSA Reviewer Book for $175 after receiving a discount of 12.5%. What was the marked price?
  1. $ 187.50
  2. $ 200
  3. $ 225
  4. $ 250
_________3. A town house unit was sold fir $2.50 M, yielding a 25% profit. For how much would it be sold to yield only a 10% profit on the cost?
  1. $ 2M
  2. $ 2.25M
  3. $ 2.2M
  4. $2.45M
_________4. What single discount is equivalent to successive discounts if 5% and 10%?
  1. 10.5%
  2. 12.5%
  3. 14.5%
  4. 15%
_________5. How many miles are there in 40 kilometers?
  1. 25
  2. 64
  3. 32
  4. 60
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 24/159

Mathematics Test III - Page 24

_________6. If water tank can be filled 1 and 3/4 hours. What part of the tank can be filled in exactly 1 hour?
  1. 1/2
  2. 3/4
  3. 4/7
  4. 1
_________7. If 5 items cost d dollars how much would x items cost at the same rate?
  1. p / 5x
  2. 5 / px
  3. x / 5p
  4. px / 55
_________8. In a group of 8, 000 applicants for a civil service examination, 1600 failed to take the first part of the test. What percent of the total applicants took the first part of the test?
  1. 20%
  2. 30%
  3. 40%
  4. 80%
_________9. If the ratio a : b is 11 : 9, then a + b is ________?
  1. 9
  2. 11
  3. 20
  4. can't be determined from the given information
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Mathematics Test III - Page 25

___________10. If 4 men can paint a fence in 2 days, what part of the job can be completed by one man in 8 days?
  1. 1/4
  2. 1/2
  3. 3/4
  4. whole job
___________11. Of John's salary, 1/10 is spent for clothing, and 1/4 for board and lodging. What part of the salary is left for other expenditures and savings?
  1. 3/5
  2. 13/20
  3. 7/10
  4. 2/5
___________12. Which of the following fractions is closest to 1/3 ?
  1. 1/5
  2. 2/5
  3. 2/3
  4. 3/5
___________13. Write 0.5 % as decimal.
  1. 5
  2. 0.5
  3. 0.05
  4. 0.005
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Civil Service Commission Professional or Sub-Professional Reviewer - Page 26/159

Mathematics Test III - Page 26

___________14. If 10 parts of alcohol is mixed with 15 parts of water, what part of the mixture is alcohol?
  1. 2/3
  2. 2/5
  3. 1/3
  4. 3/5
___________15. If 2/5 of the workers in a factory go on vacation is September and 1/3 of the remainder take their vacation in October, what fraction of the workers take their vacation in some other time?

  1. 2/5
  2. 1/3
  3. 1/15
  4. 4/15

___________16. A bill was passed by a vote of 7 : 5 . What part of the vote counts were in favor of the bill?

  1. 5/7
  2. 7/12
  3. 5/12
  4. 7/5

___________17. If a man travels for half of an hour at 60 km/hr, and for quarter of an hour for 120 km/hr, what is his average speed?

  1. 80 kph
  2. 90 kph
  3. 100 kph
  4. 120 kph
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Mathematics Test III - Page 27

_________18. What part of an hour elapses between 9:52 AM and 10:16 AM ?
  1. 2/5
  2. 1/3
  3. 1/6
  4. 1/4
_________19. If the ratio of boys to girls is 3 : 7 . If the class has 40 students, how many additional boys are needed to enroll to make the ratio 2 : 1 ?
  1. 11
  2. 33
  3. 44
  4. 50
_________20. If 45 feet of uniform wire weigh 5 kilograms, what is the weight of 30 yards o the same wire?
  1. 5 kg
  2. 10 kg
  3. 15 kg
  4. 20 kg
_________21. A school has enough oatmeal to feed 15 children in 4 days. If 5 more children are added, how many days will the oatmeal last ?
  1. 3
  2. 12
  3. 1 ⅓
  4. 5 ⅓
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Mathematics Test III - Page 28

___________22. If a car can travel 60 km on 12 liters of gasoline, how many liters will be needed in a 210 km trip ?
  1. 30
  2. 42
  3. 45
  4. 50
___________23. Write 7.5% as a fraction.
  1. 3/4
  2. 3/40
  3. 3/400
  4. 3/4000
___________24. Write 3/8 % as decimal.
  1. 0.00375
  2. 0.0375
  3. 0.375
  4. 3.75
___________25. Find 40% of 60.
  1. 0.24
  2. 2.4
  3. 24
  4. 240
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Mathematics Test III - Page 29

_________26. Find 70% of 60.
  1. 420
  2. 4.2
  3. 4200
  4. 42
_________27. What is 175% of 24 ?
  1. 0.42
  2. 4.2
  3. 42
  4. 420
_________28. What percent of 60 is 42 ?

  1. 0.7
  2. 7
  3. 70
  4. 1.428
_________29. 54 is 20% of what number ?
  1. 2.7
  2. 270
  3. 10.8
  4. 108
_________30. 24 is 150% of what number ?
  1. 8
  2. 12
  3. 16
  4. 18
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Mathematics Test III - Page 30

___________31. How many thirty- seconds are there in 62 ½ % ?
  1. 5
  2. 8
  3. 12
  4. 20
___________32. A shirt marked $560 is sold for $392. What was the rate of discount ?
  1. $ 168
  2. $ 123
  3. $ 30%
  4. 70%
___________33. A kinder class has g number of girls and b number of boys. The ratio of boys to girls is _____ ?
  1. bg
  2. b / (b+g)
  3. g/b
  4. b/g
                           _______
___________34.  / 1  +   1      =  _________ ?
                       √ 25    144
  1. 1/17
  2. 17/60
  3. 13/60
  4. 12/13
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___________35. A basketball team has won 24 games out of 36 games played. It has 24 more games to play. How many of these must the team win to make its record 80% for the season ?
  1. 12
  2. 18
  3. 18
  4. 24
___________36. If prices are reduced by 25% sales increased by 33 ⅓  % what is the net effect on gross revenue ?
  1. they increase by 8 and 1/3
  2. they decrease by 8 and 1/3
  3. they remain the same
  4. they increase by 10%

___________37. An 8-meter rope is cut so that one part is 3/5 of the other. How long in meters, is the shorter segment ?
  1. 2
  2. 3
  3. 4
  4. 5
___________38. When the gasoline gauge of an automobile shows 1/8 full, 52.5 liters is needed to completely fill the gasoline tank. What is the capacity, in liters of the gasoline tank?
  1. 48
  2. 50
  3. 56
  4. 60
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Mathematics Test III - Page 32

___________39. What part of gallon is 7 pints, given that 1 quart = 2 pints, 4 quarts = 1 gal. ?
  1. 7/8
  2. 7/16
  3. 7/4
  4. 3/4
___________40. If 7 is added to four times a number, the result is 91. What is the number ?
  1. 21
  2. 42
  3. 32
  4. 56
___________41. The area of a square is 36 sq. cm. What is the perimeter of the square ?
  1. 6 cm
  2. 24 cm
  3. 30 cm
  4. 36 cm
___________42. A truck can carry a load of 8 / 9 tons. How many trips must the truck make to deliver 10 and 2 / 3 tons of sand?
  1. 8
  2. 9
  3. 10
  4. 12
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Mathematics Test III - Page 33


_________43. What is the value of
 6a2b3
______  if a = 2 and b = 3 ?
    9
  1. 18
  2. 24
  3. 36
  4. 72
_________44.  Z +  4  = 4, then Z = _______?
                             Z
  1. 1
  2. 2
  3. -1
  4. -2

_________45.  1 ÷  1  = _________ ?
                      x     1 
                             x
  1. 1
  2. 1/ x2
  3. x2
  4. 2x
                          ______
_________46. x √0.0004  =  4 : x  =  _______ ?
  1. 80
  2. 100
  3. 200
  4. 400
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Mathematics Test III - Page 34

47. A piece of wire is cut into three, so that the first is three times as long as the second and the second is three times as long as the third. What part of the entire piece is the shortest?
  1. 1/9
  2. 1/10
  3. 1/13
  4. 1/15
48. What is the average of the first 20 positive integers ?
  1. 9
  2. 9.5
  3. 10
  4. 10.5
49. A sales representative earns 5% commission on all sales between $ 20, 000 and $ 60, 000, and 8% on all sales over $ 60,000. What is the commission in a week in which her total sales was $ 80, 000 ?
  1. $ 3, 600
  2. $ 4, 600
  3. $ 5, 600
  4. $ 6, 400
        _________
50.  /  12  +  12 
    √    27      9

  1. 16/9
  2. 4/3
  3. 3/4
  4. 9/16
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Mathematics Test IV - Page 35

Select the best answer for each and rite the appropriate letter in the blank.

_________1. A car that cost $ 1.2 M can be sold for $ 600, 000 after 5 years of use. What will be the yearly depreciation cost ?
  1. $ 100, 000
  2. $ 12, 000
  3. $ 120, 000
  4. $ 600, 000
_________2. How many times does the digit 7 appear in the numbers from 1 to 100 ?
  1. 9
  2. 10
  3. 19
  4. 20
_________3. At the rate of $ 44 per hundred sheets of colored bond paper, how much is the cost of 500 sheets ?
  1. $ 121
  2. $ 242
  3. $ 440
  4. $ 480
_________4. At $ 25 per board foot of wood, what is the cost of 15 pieces of 2" x 2" x 12' ?
(1 board foot = 1 ft. x 1 ft. x 1 inch)
  1. $ 18, 000
  2. $ 15, 000
  3. $ 1, 250
  4. $ 1, 500
_________5. The decimal form of 0.56 % is __________ ?
  1. 0.0056
  2. 0.056
  3. 0.56
  4. 56
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_________6. If 3 feet = 1 yard, how many yards are there in 27 feet ?
  1. 9
  2. 81
  3. 24
  4. 12
_________7. How many feet are there in 9 and 1/3 yards ?
  1. 9
  2. 10
  3. 12
  4. 28
_________8. A hand-carved wooden dining set is priced at $69, 950. If 20% discount is given to the customer, how much would he have to pay for the set ?
  1. $ 53, 960
  2. $ 54, 960
  3. $ 55, 960
  4. $ 56, 960
_________9. If an article priced at $99.80 is subjected to a 10% VAT, what would be the total amount to be paid for the article ?
  1. $ 89.82
  2. $ 109.78
  3. $ 109.80
  4. $ 110.78
_________10. Find the cost of 6 and 1/2 dozen eggs at $ 30.00 per dozen.
  1. $ 186
  2. $ 190
  3. $ 194
  4. $ 195
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Mathematics Test IV - Page 37

_________11. A lady employee purchased an umbrella for $ 180 less 20%. How much should she pay if its is subject to a 5 % sales tax ?
  1. $ 151.20
  2. $ 153
  3. $ 160
  4. $ 165
_________12. Mr. Mansueto Velasco Jr. is buying a piece of lot at Filinvest Homes East. The dimension of the rectangular lot is 14 meters by 30 meters at $ 3, 500 per square meters, what would be the total cost of the lot ?
  1. $ 308, 000
  2. $ 105, 014
  3. $ 735, 000
  4. $ 1, 470, 000
_________13. How much must a salesman sell in a month to yield him a commission of $ 12, 000, if his rate of commission is 5% on goods sold ?
  1. $ 12, 000
  2. $ 60, 000
  3. $ 240, 000
  4. $ 24, 000
_________14. How much would Charlie receive from his monthly salary of $ 8,000 after deducting 2 and 1/2 % for SSS contribution and 5% withholding tax ?
  1. $ 7, 400
  2. $ 7, 500
  3. $ 7, 850
  4. $ 7, 950
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Mathematics Test IV - Page 38

__________15. A student had $ 1, 050 in his wallet. He spent $ 640 for books and school supplies. What part of his money did he spend?
  1. 2/5
  2. 3/5
  3. 2/3
  4. 3/4
__________16. MS. Cecille Garcia saves 18% of her monthly salary of $ 16, 500. How much does she saved in a year?
  1. $ 34, 460
  2. $ 35, 460
  3. $ 110, 000
  4. $ 260, 000
__________17. Mrs. Leny Ngo wishes to buy a second hand car, the cash price of which is $ 150, 000. Not having ready cash she agrees to pay 1/3 down and the balance in 10 monthly installments of 11, 000 each. What is the total price of the car ?
  1. $ 160, 000
  2. $ 170, 000
  3. $ 110, 000
  4. $ 260, 000
__________18. A cross-stitch store owner buys cross-stitch frame at $ 12, 500 each. How much should he sell each in order to realize a profit of 3/20 more than the buying price ?
  1. $ 12, 750
  2. $ 13, 375
  3. $ 13, 350
  4. $ 14, 375
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Mathematics Test IV - Page 39

_________19. This year XYZ company's profit was $ 2, 440, 000, which is 22% more than last year's profit. How much was the profit last year ?
  1. $ 1, 220, 000
  2. $ 2, 000, 000
  3. $ 1, 880, 000
  4. $ 1, 900, 000
_________20. Mrs. Ramos pays $ 1, 530 for a dress at 15 % discount. How much is the marked price ?
  1. $ 1, 545
  2. $ 1, 600
  3. $ 1, 800
  4. $ 1, 750
_________21. A customer buys 4 pairs of socks originally priced at $ 60.00 each. If the reduced price is $ 47.50, how much does he save on this purchase ?
  1. $ 50
  2. $ 60
  3. $ 65
  4. $ 70
_________22. Gerard left City A to drive to City B at 6:15 A.M. and arrived at 1:45 P.M. If he averaged 60 km per hour and stopped one hour for lunch, how far is City A to City B ?
  1. 390 km
  2. 420 km
  3. 450 km
  4. 270 km
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Mathematics Test IV - Page 40
                          ____       _____
23. The sum of √ 81    +  √ 100    is ________ ?
  1. √ 181
  2. 10
  3. 9
  4. 19
24. The sum of three consecutive integers is 54. Find the smallest integer.
  1. 16
  2. 17
  3. 18
  4. 19
25. How many miles does a car travel if it averages at a rate of 35 miles per hour for 3 hours and 24 minutes?
  1. 109
  2. 112
  3. 113
  4. 119
26. Elmer can deliver newspaper in his route for 1 ½ hours. Wowie who takes his place one day finds that it takes him 1 ½ longer to deliver these. How long will it take to deliver the papers if they work together ?
  1. 1 hour
  2. 1 hour 15 minutes
  3. 1 hour 20 minutes
  4. 3 hours
27. If it takes h hours to paint the wall, what part of the wall is painted in one hour ?
  1. h
  2. 1/h
  3. hx
  4. x/h
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Mathematics Test IV - Page 41

28. A sock of corn will feed 18 ducks for 54 days. How long will it feed 12 ducks ?
  1. 36
  2. 60
  3. 72
  4. 81
29. Find the next number in the series 1, 4, 9, 16, _____ ?
  1. 20
  2. 25
  3. 26
  4. 30
30. A bag is sold for $680 while marked at $800. What was the rate of the discount ?
  1. 12%
  2. 15%
  3. 20%
  4. 25%
31. Six hundred examinees passed the Licensure Examination last year. This represents the 8 ⅓ percent of the total examinees. How many examinees failed the exam?
  1. 6,000
  2. 6,200
  3. 6,600
  4. 7,200
32. If 4 miles = 6.44 km, then 14.49 km equals how many miles ?
  1. 7
  2. 8
  3. 9
  4. 10
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Mathematics Test IV - Page 42

________33.  (a2 - 4b2) c  is equivalent to ac + _________ ?
  1. 2bc
  2. -2bc
  3. 2b
  4. -2b
________34. In a certain class the ratio of boys to girls is 4 : 5. If the class has 54 students, how many are girls ?
  1. 24
  2. 30
  3. 12
  4. 27
_________35. Solve for x : ax = bx + cx - d,       a ≠ b ≠ c.

a.        d       
     a - b - c


b.        d       
     b - a - c


c.        d       
     b + c - a


d.        d       
     b - c - a

__________36. The ratio of men athlete to women in an athletic meet is 5 : 3 and the total number of athlete is 2, 400, how many additional women athlete would have to join to make the ratio of men to women 1 : 1 ?
  1. 6
  2. 400
  3. 600
  4. 1, 200
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Mathematics Test IV - Page 43 

___________37. If prices are reduced by 20 %, quantity sold increase by 25 %. What is the net effect on the gross revenue?
  1. it increases by 5%
  2. it decreases by 5%
  3. it remains the same
  4. it increases by 10%
___________38. The average of three numbers is xyz. If the sum of two numbers is x + y, what is the other number?
  1. 3xyz - (x+y)
  2. xyz - (x+y)
  3. z
  4. can't be determined from the given information

___________39. When + 13 is added to - 15, the sum is _______ ?
  1. -2
  2. 2
  3. -18
  4. 18

___________40. When -15 is subtracted from -18, the difference is _______?
  1. -3
  2. 3
  3. 33
  4. -33

___________41. When the product of (-4) and (-17) is divided by 2, the quotient is _____ ?
  1. -34
  2. 34
  3. 68
  4. -66
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Mathematics Test IV - Page 44

_____________42. If 5x + 17 = 32, then x = _________ ?
  1. 9.8
  2. -9.8
  3. 3
  4. -3
_____________43. Solve for M :

 M  -  M  = 4
 7       3

  1. 21
  2. -21
  3. -1
  4. 1
_____________44. If x + y = 4a and x - y = 2b then y = ______ ?
  1. b - 2a
  2. 2a - b
  3. 2a + b
  4. a - 2b
_____________45. If 0.37 m = 0.0111 then m = _____ ?
  1. 0.03
  2. 0.3
  3. 3
  4. 30
_____________46. If 1 / M = 4 and S = 2, what is S in terms of M ?
  1. 1 / 2M
  2. -2M
  3. -(1/2M)
  4. 2M
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Mathematics Test IV - Page 45

___________47. A horse is tied to a pole with a rope of 7 meters long. How much grazing area does it have?
  1. 154 sq. m.
  2. 164 sq. m.
  3. 314 sq. m.
  4. 174 sq. m.
___________48. What number is missing in this sequence : 5, 7, 11, 17, ________ ?
  1. 22
  2. 23
  3. 25
  4. 27
___________49. How many two-digit numbers can be formed from the digits 1, 2, 3, 4, and 5 if a digit cannot be used more than once?
  1. 10
  2. 15
  3. 20
  4. 25
___________50. What is the value of x in 5 : x = x : 125 ?
  1. 5
  2. 15
  3. 20
  4. 25
___________51. If one bilao of pansit guisado serves 7 people, how many bilaos are needed to serve a banquet of 126 people?
  1. 15
  2. 16
  3. 17
  4. 18
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Mathematics Test IV - Page 46

____________52. If x = 8, which of the following has the least value?
  1. x -3
  2. 3/x
  3. x/3
  4. 3 - x
____________53. If rain is pouring at the rate of 3 inches per hour, how many inches will it pour in 15 minutes?
  1. 1/36
  2. 3/4
  3. 45
  4. 5
____________54. If (18 x 3) ÷ a = 6 then a - 9 = _____?

  1. 0
  2. 1
  3. 9
  4. 10
____________55. If a = 3, b = 2, and c =4, then the value of (ac - bc) ÷ (a+b+c) = _______?
  1. 4/9
  2. 2/3
  3. 3/8
  4. 1/2
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Mathematics Test V - Page 47

Select the best answer for each and write the appropriate letter in the blank.

____________1. What number is as much more than 8 as it is less than 32 ?
  1. 20
  2. 40
  3. 60
  4. cannot be determined from the given information
____________2. A container van that is 3 meters wide, 5 meters long and 4 meters high will transport 200 crates whose volume is 6 cubic meters. How many trips will it take to transport all the crates?
  1. 20
  2. 25
  3. 30
  4. 35
____________3. A rectangular block of copper, with dimensions 4m x 6m x 9m, is melted and recast into a cubical block. Find the length of the side of the cubical block.
  1. 4 cm
  2. 6 cm
  3. 9 cm
  4. 12 cm
____________4. There are 9 male teachers for every 14 female teachers. If there are 69 teachers in all, how many teachers are female?
  1. 18
  2. 27
  3. 39
  4. 42
                                                                                                 ___
____________5. What would be the closest approximation to√ 66    ?

  1. 7.9
  2. 8
  3. 8.1
  4. 8.9
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Mathematics Test V - Page 48

__________6. Manny can do a certain job in 1 day, Anna can do the same job in 2 days, and Josie can do the job in 3 days. How many days will it take them to do the job if they work together?
  1. 1/6
  2. 1/3
  3. 6/11
  4. 1/2
__________7. In the figure, all the line segments meet at right angles and each segments has a length of 1 unit. What is the area of the figure in square units?

  1. 9
  2. 12
  3. 16
  4. 25
___________8. If x - 3 = y, then (y - x )3 = _____ ?
  1. 9
  2. -27
  3. 27
  4. 81
___________9. A speed of 90 km per hour is equivalent to how many meters per second?
  1. 20
  2. 25
  3. 30
  4. 45
___________10. A rectangular sheet of cardboard 5 inches long and 4 inches wide is cut into squares one inch on a side. What is the maximum number of such squares that can be formed?
  1. 18
  2. 20
  3. 9
  4. 16
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Mathematics Test V - Page 49

___________11. A housewife bought 3 kilograms of beef priced at $ 108.75 per kilogram. How much change did she receive from a five-hundred dollar bill?
  1. $ 163.25
  2. $ 193.75
  3. $ 173.75
  4. $ 180.25
___________12. A delivery of 480 baskets of mangoes is divided into two fruit stands so that the difference between the two orders is 1/3 their average. What is the ratio of the smaller to the larger amount?
  1. 5 : 7
  2. 5 : 9
  3. 5 : 12
  4. 2 : 3
___________13. When the first and the last digits of 2, 836 are interchanged, the new number is _____.
  1. 3996 more than 2, 836
  2. 3996 less than 2, 836
  3. 1404 more than 2, 836
  4. 1404 less than 2, 836
___________14. If twice the value of a certain number is increased by 8 the result is 40. What is the number?
  1. 8
  2. 16
  3. 24
  4. 32
___________15. In a group of 120 persons, there are 32 more women than men. How many women are there in the group?
  1. 44
  2. 76
  3. 88
  4. 92
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Mathematics Test V - Page 50

___________16. If the dimensions of a square change in such a manner that the area remains constant, what must happen to the other side if one side will be increased by 1/4 of itself?
  1. it decreases by 1/5
  2. it decreases by 1/4
  3. it decreases by 1/3
  4. it decreases by 1/2
___________17. A man rowed 4 miles upstream for 2 hours. If the river flowed with a current of 2 miles per hour, how long did the man's return trip take?
  1. 1/3 hour
  2. 1/2 hour
  3. 2/3 hour
  4. 1 hour
___________18. The rectangle shown in the figure is divided into 6 equal squares. If the perimeter of the rectangle is 42 cm, what is the area of each square in cm2 ?
rectangle divided into 6 equal squares
  1. 6
  2. 9
  3. 12
  4. 15
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Mathematics Test V - Page 51

__________19. If the area of the rectangle ABCD shown below is 36 units, how many square units is the area of the shaded region?

rectangle and triangle figure
  1. 12
  2. 16
  3. 18
  4. 24
___________20. This tank holds 48 liters of gasoline and the car averages 5 kilometers per liter. Approximately how many kilometers can a car travel this given guage?

guage figure
  1. 12
  2. 24
  3. 30
  4. 60
___________21. Which of the following graphs represents the taxi rates for a company that charges $ 3.50 for the first 200 meters and $ 1.00 for each additional 100 meters?

a.
















b.

















c.
















d.
















____________22. A laboratory assistant was preparing a solution that should have included 40 milligrams of chemical. If he actually used 41.30 milligrams, what was his percentage error (to the nearest 0.01 %)?

  1. 0.0325%
  2. 0.325%
  3. 3.25%
  4. 32.5%
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Mathematics Test V - Page 52

____________23. Menthol drops come in packs of 8 for $ 3.60. Butterballs come in packs of 6 for $ 2.25. Aida bought 48 pieces of candy. How many of each kind of candy did she buy, if she spent $ 19.80?
  1. 6 packs of Menthol drops and no Butterballs
  2. 3 packs of Menthol drops and 4 packs of Butterballs
  3. 8 packs of Butterballs and no Menthol drops
  4. Choices A, B, and C are possibilities
Use the following table for questions 24 and 25.



___________24. How much tax is due on a taxable income of $65, 000?
  1. $ 6, 075
  2. $ 6, 050
  3. $ 6, 094
  4. $ 7, 025
___________25. How much tax is due on a taxable income of $55, 000?
  1. $ 4, 575
  2. $ 5, 325
  3. $ 6, 825
  4. $ 18, 075
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Mathematics Test V - Page 53

__________26. Anabelle paid $ 19, 675 tax. If x was her income, which of the following statements is TRUE?
  1. $ 60, 000 < x < $ 100, 000
  2. $ 100, 000 < x < $ 250, 000
  3. $ 40, 000 < x < $ 60, 000
  4. $ 250, 000 < x < $ 500, 000
__________27. Mang Pablo decided to keep a record of the money he collects from his newspaper route. Using the information given, how much money does Mang Pablo collect in the month of February? (Note : Assume that February has 28 days and the February 1 was on a Sunday).

DELIVERY
WEEKLY
RATE
NUMBER OF
CUSTOMERS
INCOME
Daily Except Sunday
$ 42
x
75
$ 3, 150
Sunday Only
$ 10
x
60
$ 600
all week
(daily and Sunday)
$ 52
x
120
$ 6, 240
  1. $ 9, 990
  2. $ 19, 980
  3. $ 39, 960
  4. $ 49, 950
 __________28. If 10 soldiers can survive for 12 days in 15 packs of rations, how many packs will be needed for 8 men to survive for 18 days?

  1. 16 packs
  2. 17 packs
  3. 18 packs
  4. 19 packs
___________29. If it takes Victor twice as long to earn $ 600 as it takes Warnen to earn $ 400, what is the ratio of Victor's per day to Warnen's pay per day?
  1. 3 : 1
  2. 3 : 2
  3. 3 : 4
  4. 4 : 3
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Mathematics Test V - Page 54

Use the following table for the question 30 to 32.

TYPE OF VEHICLE - COST OF FUEL FOR 100 - KM TRIP
car - $ 500 truck - $ 2, 000
motorcycle - $ 175 airplane - $ 3, 000
bus - $ 875

__________30. What is the cost of fuel for a 120-km trip by car?
  1. $ 400
  2. $ 480
  3. $ 520
  4. $ 600
__________31. If the total wages of a bus driver for 100-km trip is $ 970, and the only cost for a bus are the fuel and the driver's wage. How much should a bus company charge to charter a bus with a driver for a 200-km trip in order to obtain 50% more than the cost?
  1. $ 2, 330
  2. $ 5, 535
  3. $ 2, 720
  4. $ 2, 767.50
__________32. If 5 buses, 9 cars, 4 motorcycles make a 100-km trip. What is the average fuel cost per vehicle?
  1. $ 521.94
  2. $ 526.67
  3. $ 531.94
  4. $ 516.67
__________33. A store owner bought 2 dozen cans of corned beef at $ 30 each. He sold two-thirds of them at 25% profit but was forced to take a 30% loss on the rest. What was his total profit (or loss) on the item?
  1. a loss of $ 48
  2. a gain of $ 48
  3. no gain or loss
  4. gain of $ 4
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Mathematics Test V - Page 55

Use the table below for questions number 34 to 36.

% OF
PROTEIN
% OF
CARBOHYDRATES
% OF
VITAMINS
COST PER
100 GRAM
Salad A
20
15
40
$ 25.00
Salad B
10
25
30
$ 30.00
Salad C
20
10
50
$ 35.00

___________34. The cost of x purchasing grams of Salad A, y grams of Salad B and z grams if Salad C will be ________.
  1. (25x + 30y + 35z) pesos
  2. 90 xyz pesos
  3. (25x + 30y + 35z) cents
  4. (5x + 6y + 7z) dollars
___________35. Which of the following diets would supply the most grams of vitamins?
  1. 500 grams of Salad A
  2. 400 grams of Salad B
  3. 200 grams of Salad A, 100 grams of Salad B and 200 grams of Salad C
  4. 200 grams of Salad A, 50 grams of Salad B and 200 grams of Salad C
___________36. All of the following diets would supply at least 85 grams of carbohydrates. Which of the diets costs the least?
  1. 100 grams of Salad A, 200 grams of Salad B and 300 grams of Salad C.
  2. 300 grams of Salad A, 100 grams of Salad B and 200 grams of Salad C.
  3. 200 grams of Salad A, 100 grams of Salad B and 300 grams of Salad C.
  4. 100 grams of Salad A, 300 grams of Salad B and 200 grams of Salad C.
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Mathematics Test V - Page 56

_________37. If jackfruits are twice as expensive as watermelons, and watermelons are one-third as expensive as durians. What is the ratio of the price of one jackfruit to one durian?
  1. 3 : 2
  2. 2 : 3
  3. 6 : 1
  4. 1 : 6
_________38. A retailer buys a pack of sugar from Uniwide Sales for $459. He then marks up the price by 1/3 and sells it at a discount of 16 and 2/3 %. What was his profit in this item?
  1. $ 153
  2. $ 102
  3. $ 26.50
  4. $ 51.00
_________39. Forrest Gamp walks down the road for 30 minutes at a rate of 3 mph. He waits 10 minutes for a bus, which brings him back to his starting point at 4 : 25. If he began his walk at 3:35 the same afternoon, what was the average speed on the bus?
  1. 3 mph
  2. 4.5 mph
  3. 7.5 mph
  4. 9 mph
_________40. Miss Felisa Gascon had $ 2 million to invest. She invested part of it at 4% a year and the remainder at 5% per year. After one year she earned $ 95, 000 in interest. How much of the original investment was placed at 5% rate?
  1. $ 900,000
  2. $ 1,250,000
  3. $ 1,500,000
  4. $ 1,600,000
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Mathematics Test V - Page 57

________41. Which of the following is NOT a possible remainder if a positive integer is divided 5
  1. 0
  2. 1
  3. 3
  4. 5
________42. In a building plan, 1/4 cm represents 2 meters. If the main entrance is supposed to be 8 meters wide, how would its representation be on the plan?
  1. 1 cm
  2. 1/2
  3. 2 cm
  4. 1/16 cm
________43. A real estate agent marks a certain property up 40% above the original cost. Then he gives a client a 15% discount. If the final selling price of the property was $8.619 M, what was the original cost of the property?
  1. $ 6.63 M
  2. $ 7.26 M
  3. $ 7.8 M
  4. $ 99.12 M
________44. If 2/3 the perimeter of a square is 16, then what is the length of one of its sides?
  1. 6
  2. 8
  3. 9
  4. 12
________45. What values of x can satisfy the equation (3x + 6) (2x - 8) = 0?
  1. -4 and 2 only
  2. 4 only
  3. -2 only
  4. -2 and 4 only
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Mathematics Test V - Page 58

________46. If 8 men can plant 288 trees in one day, how many trees can 12 men plant in 5 days?
  1. 432
  2. 960
  3. 1,800
  4. 2,160
________47. If the length of a rectangle is increased by 25% and its width is decreased by 20%, what happens to the area of the rectangle?
  1. increase by 5%
  2. decrease by 5%
  3. increase by 45%
  4. no change
________48. The formula for the volume of a sphere is V = 4/3 π3. If the radius (r) is tripled, what will be the ratio of the new volume to the original volume?

  1. 1 : 3
  2. 3 : 1
  3. 9 : 1
  4. 27 : 1
________49. The scale on a map is 1 : 8. If a surveyor reads a certain measurement on the map as 4.6 cm instead of 5.0 cm, what will be the resulting approximate percent error on the full size model?
  1. 4%
  2. 8%
  3. 64%
  4. 93%
________50. In a certain recipe, 225 grams of beef are called for to make 6 servings. If Mrs. Alferez wants to use the recipe for 8 servings, how many grams of beef must she use?
  1. 275 grams
  2. 300 grams
  3. 337.5 grams
  4. 400 grams
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Mathematics Test I Solution - Page 59

Solutions

1. 16 + 4 x (7 + 8) - 3 = ________?

= 16 + 4 x (15) - 3

= 16 + 60 - 3

= 16 + 57

= 73 *Ans.


2. (18 + 17) (12 + 9) - (7 x 16) (4 + 2) = ________?

= (35) (21) - (112) (6)

= 735 - 672

= 63 *Ans.


3. The sum of 73, 2891, 406 and 98 is _______?

= 73 + 2891 + 406 + 98

= 3468 *Ans.


4. Which of the following numbers is divisible by 24 ?

192 ÷ 24 = 8 *Ans.

286 ÷ 24 = 11 remainder 4, 268 not divisible by 24 because it has a remainder when divided by 24.


5. Which of the following numbers is prime?

a. 57 = 3 x 19

b. 87 = 3 x 29

c. 89 = 89 x 1 *Ans.

d. 91 = 13 x 7


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Mathematics Test I Solution - Page 60

6. The product of 18 and 73 is ______?

18 x 73 = 1,314

1314 *Ans.

7. The difference of 476 and 182 is _______?

476 - 182 = 294

294 *Ans.

8. Evaluate    1    +    2    +  3  = ______?
                  100      1000    10

1 / 100   = 0.01

2 / 1000 = 0.02

3 / 10     = 0.3

0.01 + 0.02 + 0.3 = 0.312 *Ans

9. Evaluate ½ + ¼ + ⅛ _________.

Find first the LCD which is 8.

½ = 4/8

¼ = 2/8

 = 1/8

4  +  2  +  1 
    8      8      8

= 7/8 *Ans.


10. Seventy-one and twenty-one ten thousandths is written in standard form as :

71.0021 *Ans.

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Mathematics Test I Solution - Page 61

11. One thousand forty two and seven thousandths written form is _____?

= 1, 042.007 *Ans.

12.  1  +  5  +  1  = _______?
       3      6      2

Find first the LCD which is = 6

1/3 is now 2/6
5/6 is still 5/6
1/2 is now 3/6

 2 + 5 + 3  
           6

= 10/6 or 5/3

1 ⅔ *Ans.

13. 3 ½ - 1 = ________?

Change 3 ½ to improper fraction which is 7/2
Change 1 to improper fraction which is 5/3

7  - 
    2     3

3(7) - 2(5) 
         2(3)

21 - 10 
         6

= 11/6

= 1  5  *Ans.
       6

14. 900 x 0.09 = _________?

              900
x             .09
           81.00 *Ans.

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Mathematics Test I Solution - Page 62

15.  7  ÷  21  = ___________?
       8      4

=  7  x  4 
    8     21

=   28 
    168

=    28 ÷ 28  
    168 ÷ 28

= 1/6 *Ans.


16.  3  x  10  = ______?
      5       3

= 30 / 15

= 2 *Ans.

17. 3.156 x 0.12 = ________?

              3.156                    ------> 3-decimal places
            x  .12                      ------> 2-decimal places
               6312
             3156  
          0.37872 *Ans.          ------> 5-decimal places


18. 5 ½ ÷ 2 = ______?

11    ÷  
     2          3


 11    x   3 
     2          7

33 
    14

change 33/14  to improper fraction by dividing 33 by 14 which is :

5  *Ans.
   14

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Mathematics Test I Solution - Page 63

19.  2    +    4  = _________.
        1        1  
        2        3

             6       
=     3        2  
       6       6

    
=  
     6

= 6 x  6 
          5

= 36/5

= 7 ⅕ Ans.


20. 3% of 24 = _____?

= 0.03 x 24

= 0.72 *Ans.


21. 1402 + 142 + 14.2 + 1.42 = _________?

             1402.00
               142.00
+               14.20
                   1.42 
             1559.62 *Ans.

22. 2010 x 0.00001 = _________?

2010 x .00001 = 0.2010

=0.210 *Ans.


23. Find the average of 6.8, 3.5, 9.2, 7.45, and 6.05.

=  6.8 + 3.5 + 9.2 + 7.45 + 6.05 
                         5

= 33/5

= 6.6 *Ans.

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Mathematics Test I Solution - Page 64

24. 47 x 0.05 = ________?

= 47 x 0.05

= 2.35 *Ans.

25. 87 / 0.01 = __________?

move the decimal point 2 places to the right in both dividend & divisor because there are 2 decimal places in the divisor.

0.01 is now 1 and 87 is now 8700

= 8700 / 1

= 8700 *Ans.

26. (0.5) (5) (0.5) = ________.

= (2.5) (0.5)

= 1.25 *Ans.

27. Dividing by 0.2 is the same as multiplying by ________?

= 1 ÷ 0.2

= 1 ÷  
         10

= 1 ÷  1 
          5

= 1 x 5

= 5 *Ans.

28. 0.012 ÷ 3 = ________?

        .004 
= 3 | .012
         0    
           1
           0  
           12
           12
             0

0.004 *Ans.

29. 2.944 ÷ 0.23 = _______?

move the decimal point 2 places to the right in both dividend & divisor because there are 2 decimal places in the divisor.

0.23 is now 23 and 2.944 is now 294.4

= 294.4 / 23

= 12.8 *Ans.

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Mathematics Test I Solution - Page 65

30.  0.25 + 0.25 + 0.25 + 0.25  = _________?
                         0.25

=  4 (0.25
       0.25

= 4 *Ans.

31. 0.0088 ÷ 0.22 = ________?

To start dividing, you have to make the divisor 0.22 a whole number by moving the decimal point 2 places to the right. Doing this will also move two decimal point for the dividend 00.0088.

0.22 is now 22 and 0.0088 is now 0.88

       0.04 
22 | 0.88
       0     
          88
          88
            0

therefore, 0.04 *Ans.


32. (0.15 x 0.37) + (0.85 + 0.63) + (0.15 + 0.63) + (0.85 + 0.37) = _______?

= [(0.15 + 0.63) + (0.85 + 0.63)] + [(0.15 x 0.37) + (0.85 + 0.37)]

= [0.63 (0.15 + 0.85)] + [0.37(0.15 + 0.85)]

= [0.63 (1)] + [0.37(1)]

= 1 *Ans.

33. Which of the following best approximate 68 / 0.17 = ____?

To start dividing, you have to make the divisor 0.17 a whole number by moving the decimal point 2 places to the right. Doing this will also move two decimal point for the dividend 68.

0.17 is now 17 and 68 is now 6800

=6800 / 17

= 400 *Ans.

34. The decimal from of 11/6 is ______?

11 
     6

= 1.83 *Ans.

35. 5/9 of what number is 435 ?

 5  x N = 435
 9

N = 435 ( 9 )
                5

N = 783 *Ans.

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Mathematics Test I Solution - Page 66

36. Which of the following fractions is the greatest?

a. 1 / 10 = 1 / 10

b.   0.1   =   1   = 1
    0.10      1.0

c.   1   =  100  ---> 100
   0.01       1

d.    1     = 1000  -----> 1000 *Ans
    0.001        1

37. 4.7 - 3.12 = _______?

4.70 - 3.12 = 1.58 *Ans.

38. 19.4 - 12.72 + 5 ______?

19.4 + 5 = 24.40 - 12.72 = 11.68 *Ans.


39. 27  ÷ -3  = _______?
      32      8

27  x ( 8 )
    32      -3

216 ÷ 24 
    -96 ÷ 24

=  9 
   -4

= -2 ¼  *Ans.

40. 2 ¾ x 4 = ________?

= 11  x 4
    4

= 11 *Ans.

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