GENERAL EDUCATION
MATHEMATICS
1. Two buses leave the same station at 8:00 pm. One bus travel north at the rate of 30
kph and the other travels east at 40 kph. How many kilometers apart are the buses at
10 pm?
a. 140 km
b. 100 km
c. 70 km
d. 50 km
2. Calculate the mean absolute deviation of the following numbers: 60, 80, 100, 75 and
95
a. 12.4
b. 14.2
c. 16.1
d. 18.9
3. Which of the following is the factorization of the binomial x2 – 42?
a. (x + 4) (x + 2)
b. (x – 4)2
c. x (x + 2x + 2)
d. (x – 4) (x + 4)
4. Which of the following has the greatest value:
a. 3 + 32 + (3 + 3)2
b. 33
c. [(3 + 3)2]2
d. (3 + 3 + 3)2
5. The average of 5 different counting numbers is 20. What is the highest possible value
that one of the numbers can have?
a. 20
b. 40
c. 30
d. 90
6. Three brothers inherited a cash amount of P62,000 and they divided it among
themselves in the ratio of 5:4:1. How much more is the largest share than the smallest
share?
a. P75,000
b. P30,000
c. P24,800
7. What is the missing terms in the series 5, 20, 80, ___,1280, ___, 20, 480?
a. 50;210
b. 40;160
c. 35;135
d. 320;5120
8. At what rate per annum should P2400 be invested so that it will earn an interest of
P800 in 8 years?
a. 6 ½ %
b. 5 ½ %
c. 4.17 %
d. 6 %
9. The area of a rectangle is (x2 + 2x – 8). If its length is x + 4, what is its width?
a. x + 2
b. x – 2
c. x + 1
d. x + 6
10. What is the value of 12⅙ – 3 ⅜ – 5 ⅔ + 20 ¾?
a. 21 1/8
b. 22
c. 23 7/8
d. 21
11. The vertex angle of an isosceles triangle is 20°. What is the measure of one of the
base angles?
a. 150°
b. 60°
c. 75°
d. 80°
12. Ana and Beth do a job together in three hours. Working alone, Ana does the job in 5
hours. How long will it take Beth to do the job alone?
a. 3 and 1/3 hours
b. 2 and 1/3 hours
c. 3 hours
d. 7 and 1/2 hours
13. How much greater is the sum of the first 50 counting numbers greater than the sum
of the first 100 counting numbers?
a. 110
b. 3,775
c. 3,155
d. 1200
14. Which of the following has the largest value?
a. 85
b. 39
c. 65
d. 94
15. A water tank contains 18 liters when it is 20% full. How many liters does it contain
when 50% full?
a. 60
b. 30
c. 58
d. 45
16. The edges of a rectangular solid have these measures: 1.5 feet by 1½ feet by 3
inches. What is its volume in cubic inches?
a. 324
b. 225
c. 972
d. 27
17. In a certain school, the ratio of boys to girls is 5 is to 7. If there are 180 boys and
girls in the school, how many boys are there?
a. 105
b. 90
c. 45
d. 75
18. Ruben’s grades in 6 subjects are 88, 90, 97, 90, 91 and 86? What is the least grade
that he should aim for in the 7th subject if he has to have an average of 88?
a. 92
b. 74
c. 88
d. 85
19. On a certain day, three computer technicians took turns in manning a 24-hour
internet shop. The number of hours Cesar, Bert, and Danny were on duty was in the
ratio 3:4:5, respectively. The shop owner pays them P50 per hour. How much would
Danny receive for that day?
a. P 230
b. P500
c. P160
d. P480
20. A retailer buys candies for P90.25. The pack has 35 pieces of candies. If she sells
each candy for P2.25, how much profit does she make?
a. P11.50
b. P56.25
c. P37.50
d. P18.75
21. An online shop sells a certain calculator for P950 and charges P150 for shipping
within Manila, regardless of the number of calculators ordered. Which of the following
equations shows the total cost (y) of an order as a function of the number of calculators
ordered (x)?
a. y = (950 + 150) x
b. y = 150x +950
c. x = 950y + 150
d. y = 950x + 150
22. One side of a 45° – 45° – 90° triangle measures x cm. What is the length of its
hypotenuse?
a. X √3 cm
b. X cm
c. (X √3)/2 cm
d. X √2 cm
23. The legs of one right triangle are 9 and 12, while those of another right triangle are
12 and 16. How much longer is the perimeter of the larger triangle than the perimeter of
the smaller triangle?
a. 84
b. 7
c. 12
d. 14
24. Determine the midpoint of the line segment joining the points (7, -3) and (-1, 6).
a. (2, 3/2)
b. (2, -3/2)
c. (3, 3/2)
d. (1, 5/2)
25. Which of these has the longest perimeter?
a. A square 21 cm on a side
b. A rectangle 19 cm long and 24 cm wide
c. An equilateral triangle whose side is 28 cm
d. A right triangle whose two legs are 24 and 32 cm
26. How many square inches are in 2 square yards?
a. 900
b. 144
c. 1296
d. 2,592
27. In a playground for kindergarten kids, 18 children are riding tricycles or bicycles. If
there are 43 wheels in all, how many tricycles are there?
a. 8
b. 9
c. 7
d. 11
28. Nelia takes ¾ hour to dress and get ready for school. It takes 4/5 hour to reach the
school. If her class starts promptly at 8:00 am; what is the latest time she can jump out
of bed in order not to be late for school?
a. 6:42 am
b. 6:27 am
c. 6:57 am
d. 7:02 am
29. Which common fraction is equivalent to 0.215?
a. 43/200
b. 27/125
c. 21/50
d. 108/375
30. A tin can is to be painted blue on its surface. What will be the total area of the tin
can that will be covered by paint if its radius is 3 cm and its height is 7 cm? (Use 𝜋 =
3.14)
a. 188.40 sq. cm
b. 154.26 sq. cm
c. 131.88 sq. cm
d. 56.52 sq. cm
31. A box has a capacity of 9.384 ft^3. If its length is 3.4 ft and its width is 1.2 ft, what is
the height of the box?
a. 2.5 ft
b. 2.2 ft
c. 1.8 ft
d. 2.3 ft
32. The base of a triangle is 4 cm longer than it’s altitude. If the area of the triangle is 30
m^2 . How long is the base of the triangle?
a. 10 cm
b. 8 cm
c. 6 cm
d. 4 cm
33. The sides of a triangle measure 37 dm and 58dm, respectively. If the perimeter of
the triangle is 174dm, how long is the third side?
a. 97 dm
b. 67 dm
c. 79 dm
d. 95 dm
34. When do we say that a number is divisible by 5?
I. These numbers are divisible by 5.
II. These numbers are divisible by 7.
III. These numbers are divisible by 9.
IV. These numbers are divisible by 11
a. I and III
b. II and IV
c. I only
d. II only
35. There are 15 boys and 33 girls in the class of III- Paradise. What is the ratio of the
number of girls to the number of boys?
a. 16:11
b, 11:16
c. 11:5
d. 5:11
36. Three numbers are in the ratio 2:5:7. If the biggest of the three is 140, what is the
sum of the three numbers?
a. 420
b. 140
c. 210
d. 280
37. How many decimeters of fencing materials is needed to enclose 10 meters by 15
meters rectangular garden?
a. 500 dm
b. 150 dm
c. 250 dm
d. 300 dm
38. Only 26% of 50 students passed the exam. How many students failed the test?
a. 37
b. 35
c. 33
d. 39
39. List the fractions 1/9, 2/15 and 3/15 from LEAST to GREATEST.
a. 3/21, 1/9, 2/15
b. 1/9, 3/21, 2/15
c. 1/9, 2/15, 3/21
d. 2/15, 3/21, 1/9
40. What is the square root of 400?
a. 40
b. 20
c. 8
d. 4
41. Of the 50 students enrolled in the subject – Trigonometry, 90% took the final
examination at the end of the term. Two thirds of those who took the final exam passed.
How many students passed the exam?
a. 33
b. 45
c. 34
d. 30
42. Which has the most volume?
a. A box 10 meters high, 6 meters wide, and 14 meters long.
b. A box 1 meter high, 60 meters wide, and 14 meters long.
c. A box 9 meters high, 7 meters wide, and 14 meters long.
d. A box 11 meters high, 8 meters wide, and 7 meters long.
43. 6) If 4a=b, then a is equal to ________.
a. 4 + b
b. 4b
c. b/4
d. 1/4b
44. Which of the following is NOT a prime number?
a. 43
b. 47
c. 53
d. 57
45. In Roman numerals, what letter in the alphabet represents 1,000?
a. M
b. L
c. D
d. C
46. The value of the expression 3xy + 3y + 7 when x=2 and y=3 is:
a. 36
b. 42
c. 34
d. 40
47. 100 is to 121 as 10 is to?
a. 14
b. 12
c. 13
d. 11
48. 20% of 2 is equal to:
a. -4
b. 4
c. ¼
d. 10
49. If 40% of a number is 55, what is 44% of that number?
a. 64
b. 60.5
c. 52.5
d. 56
50. A box holds 222 apples. How many apples are there in 20 boxes?
a. 4400
b. 4440
c. 4420
d. 4460
51. I sold 2/3 of my pencils for 0.25 each. I sold the remaining 8 pencils at 0.25 per pair.
How much money did I collect for the pencils?
a. 7.5
b. 7
c. 6
d. 5
52. If the scores in Mathematics test of 45 students are arranged from the highest to the
lowest, the 23rd score is the:
a. mean
b. variance
c. median
d. mode
53. Express the integer 50 as a percent.
a. 5%
b. 50%
c. 500%
d. 5,000%
54. To find the perimeter (P) of a rectangle that has length of 16 inches and a width of
12 inches, which of the following equations can be used?
a. P = 2(16)(12)
b. P = (16) +(12)
c. P = 2(16) +(12)
d. P = 2(16+12)
55. Six post office employees are working today. It takes one employee one minute to
serve one person. How long would you have to wait in the line if you hold number 321?
a. 33 minutes
b. a half an hour
c. 20 minutes
d. 45 minutes
56. A 2-hours television program included 12 minutes of commercials. What percentage
of the program was not commercials?
a. 94%
b. 90%
c. 88%
d. 86%
57. If the score of 10 students are: 76, 80, 75, 83, 80, 79, 85, 80, 88, 90, the mode is:
a. 85
b. 79
c. 88
d. 80
58. What is 111% of a number, if 132 is 11% of that number?
a. 1,332
b. 1,432
c. 1,234
d. 1,412
60. The ration of men to women at Mabuhay High School is 3:7. If there are 6,153
women in the said school, how many men are at Mabuhay High School?
a. 2,051
b. 2,637
c. 879
d. 1,895
61. Mrs. Smith has 80 birds: geese, hens and ducks. The ration of geese to hens is 3:1.
60% of the birds are ducks. How many geese does Mrs. Smith have?
a. 24
b. 20
c. 25
d. 28
62. If each of the five members in a basketball team shakes hands with every other
member of the team before the game starts, how many handshakes will there be in all?
a. 6
b. 8
c. 10
d. 9
63. How many twenty thousand are there in one million?
a. 100
b. 500
c. 50
d. 1000
64. One scoop of fish food can feed 7 fish for two days. How many fish can 6 scoops of
fish food feed for a week?
a. 12 fishes
b. 14 fishes
c. 16 fishes
d. 18 fishes
65. Change the following percent to decimals: 23%, 5%, 3%, 3.5%.
a. 2.3, .500, .30, 30.5
b. .23, 50, 03, 3.05
c. .23, .05, .03, .035
d. .023, 5.00, 3.0, 03.5
66. What is the range of the following: 86, 70, 83, 90, 85, 78, 79, 81, 87?
a. 12
b. 15
c. 16
d. 20
67. If Bob is exactly 33 years old on the 333rd day of this year, in what month was he
born?
a. October
b. December
c. November
d. September
68. What value of x will satisfy the equation 5x + 7 = 3x – 9?
a. x = -6
b. x = +8
c. x = 10
d. x = -8
69. The thousandths digit of the number 1,234.5678 is ________.
a. 1
b. 7
c. 8
d. 5
70. (4) (-6) + (12x3) = ________
a. 10
b. 12
c. 14
d. 15