LET REVIEW MATERIALS-GENERAL EDUCATION

📚GENERAL EDUCATION📚

 MATHEMATICS 

1)  A politician wants to get his message to 2/3 of the population of 48,000 in Bulacan. However, his advertising campaign reaches only ¾ of the number he intended. How many people does he actually reach? 

a.  16,000 

b.  10,000 

c.  24,000 

d.  36,000 

2)  A meter was cut at the 35-cm mark. What is the ratio of the smaller piece to the larger piece? 

a.  7:13 

b.  65:35 

c.  35:100 

d.  65:100 

3)  The carat is a unit of measure used to weigh precious stones. It equals 3.086 grains. How many grains does a 2.8 carat diamond weigh? 

a.  864.08 

b.  86.408 

c.  8.6408 

d.  8640.8 

4)  A carpenter wanted three pieces of wood each 1⅝ feet long. If he planned to cut them from a 6-foot piece of wood, how much of the piece would be left? 

a.  4 ⅜ ft 

b.  1 ⅛ ft 

c.  4 ⅞ ft 

d.  3 ft 

5)  Four mangoes cost P29.00. At that price what will 2½ dozen mangoes cost? 

a.  ₱217.50 

b.  ₱188.50 

c.  ₱348.50 

d.  ₱870.00 

6)  If ₱75.00 is shared among three children in the ratio of 3:7:15. The size of the smaller share is 

a.  ₱9.00 

b.  ₱15.00 

c.  ₱25.00 

d.  ₱35.00 

7)  4 1/5  + 3 2/7  = __________ 

a.  7 17/35

b.  7 3/35

c.  7 1/35

d.  7 3/12

8)  10 - 3 2/17   = __________ 

a.  7 2/17

b.  6 2/17

c.  6 1/17

d.  6 15/17 

9)  How many whole numbers can divide 30 exactly? 

a.  Eight 

b.  Six 

c.  Five 

d.  Four 

10)  Which is the sum of the infinite progression 3/2, 1, 2/3, 4/9 . . . ? 

a.  6½ 

b.  5½ 

c.  4½ 

d.  7½ 

11)  In the progression 18, -12, 8 . . . which term is 512/729? 

a.  the 8th 

b.  the 6th 

c.  the 9th 

d.  the 7th 

12)  Which are the next three terms in the progression 1, 4, 16 . . . 8 terms? 

a.  64, 256, 1024 

b.  67, 259, 1027 

c.  66, 258, 1026 

d.  65, 257, 1025 

13)  Which are the next three terms in the progression 1/125, -1/25, 1/5 . . . 7 terms? 

a.  -2, 6, -26 

b.  -3, 7, -27 

c.  -4, 8, -28 

d.  -1, 5, -25

14)  Which is the equivalent common fraction of the repeating decimal 3.242424…? 

a.  107/33 

b.  110/33 

c.  109/33 

d.  108/33 

15)  Benjamin received his report card with the following grades: 93, 88, 80, 86 and 89? What is the average grade?

a. 86 

b. 87 

c. 86 1/5 

d. 88 

16)  The Miranda Family purchased a 250-pound side of beef and had it packaged. They paid ₱365.00 for the side of beef. During the packaging, 75 pounds of beef were discarded as waste. What was the cost per pound for the packaged beef? 

a.  ₱2.08 per pound 

b.  ₱2.50 per pound 

c.  ₱2.06 per pound 

d.  ₱2.30 per pound 

17)  If a baseball player hits 10 home runs in the first 45 games, at the same rate how many home runs can he expect to hit during the 162-game season? 

a.  38 

b.  42 

c.  36 

d.  40 

18)  During a recent shopping spree, Tomas and Nena bought some new accessories for their apartment. Nena chose a crocheted throw pillow at ₱24.95, and Tomas purchased a rural landscape painting for ₱135.00. How much did they actually spend if they paid 7% sales tax on their purchases? 

a.  ₱171.15 

b.  ₱139.25

c.  ₱159.95 

d.  ₱148.75 

19)  You buy a new refrigerator for ₱12,800.00 and make a down payment of ₱2,500.00. If you finance the remainder at 8% annually for three years, how much will you actually pay for the refrigerator? 

a.  ₱12,190.00 

b.  ₱10,300.00 

c.  ₱12,772.00 

d.  ₱15,272.00 

20)  To pass her English Test, Lucille must get 75% of the items correct. Out of 80 questions, how many must she correctly answer? 

a.  55 

b.  60 

c.  65 

d.  70 

21)  Employees at Shaira's Musicmart get a 20% discount on all purchases. If Theresa buys three tapes at ₱7.49 each, how much will she have to pay after her employee discount? 

a.  ₱16.98 

b.  ₱19.98 

c.  ₱18.98 

d.  ₱17.98 

22)  How many ways can a committee of 4 people be selected from a group of 7 people? 

a.  35 

b.  70 

c.  140 

d.  210 

23)  In how many ways can you arrange three mathematics books (Algebra, Geometry, Trigonometry) in order on a shelf? 

a.  6 

b.  8 

c.  12 

d.  24 

24)  One package is 100 pounds, and the other is 150 pounds. The weight of the second package is how many times that of the first? 

a.  1½ times heavier 

b.  ½ as heavy 

c.  10 pounds heavier 

d.  20 pounds heavier 

25)  How many gallons of water will fill a fish tank that is 18 inches by 12 inches by 48 inches? (There are 231 cubic inches per gallon). Round your answer to the nearest gallon. 

a.  45 gallons 

b.  40 gallons 

c.  47 gallons 

d.  38 gallons 

26)  What are the next four numbers in this sequence 8, 5, 4, 9,17, ___, ___, ___, ___? 

a.  4, 3, 2, 1 

b.  5, 4, 3, 2 

c.  6, 3, 2, 0 

d.  3, 2, 1, 0 

27)  What day follows the day before yesterday if 2 days from now will be Sunday? 

a.  Tuesday 

b.  Saturday 

c.  Wednesday 

d.  Thursday 

28)  How much larger is the supplement of a 57 degree angle than the complement of a 75 degree angle? 

a.  108 degrees 

b.  18 degrees 

c.  105 degrees 

d.  123 degrees 

29)  The hypotenuse of a right triangle is 25 feet. If one leg is 24 feet, what is the length of the other leg? 

a.  5 ft 

b.  5 ft 

c.  20 ft 

d.  7 ft 

30)  Which is the length of the hypotenuse of a right triangle with legs 5 inches and 12 inches? 

a.  17in. 

b.  13 in. 

c.  11in. 

d.  20 in. 

31)  A tenant as awarded a house and lot package worth ₱180, 000.00. She has to pay package for 20 years at 9% per annum. How much will the house and lot cost after 20 years? 

a.  ₱604, 000 

b.  ₱504, 000 

c.  ₱704, 000 

d.  ₱500, 00

32)  What is the exponential function of Y = f (x)? 

a.  y = 2x – 1 

b.  y = 5x2 

c.  y = x-1 

d.  y = x-5

33)  Julio son is graduating. He sent his son three packages of 8 ½ kg, 10 ¼ and 2 ½ kg. What is the total of the packages sent? 

a.  20 ¼ kg 

b.  21 ¼ kg 

c.  18 ½ kg 

d.  23 2/2 kg

34)  The weather report recorded a temperature of 29°C in the morning and 33.5°C at two o’clock in the afternoon. How many degrees higher was the afternoon temperature?

a.  4.5°C 

b.  5.8°C 

c.  6.3°C 

d.  5.5°C

35)  Write the ratio in the lowest term two hours to 30 minutes 

a.  2:15 

b.  2:4 

c.  2:30 

d.  4:1

36)  Give the value of a if the statement is 4ab = 20 and b = 5: 

a.  3 

b.  1 

c.  2 

d.  4

37)  What is the sum of √9 and √4. 

a.  3 

b.  5 

c.  2 

d.  4

38)  What is the value on N in: 18 2/16 + 26 ¼ = N 

a.  44 3/8 

b.  44 ½ 

c.  44 ¼ 

d.  43 4/16

39)  Which expresses the polynomial in the following? 

a.  x – x + 9 – 3x + 10x 

b.  2x + 4x – 3

c.  xy – x – 6  

d.  x – 4x + 2x – x + 2

40)  The meat sent by air cargo is 1,340 pounds. The weight was computed into kilogram determine the kilogram of the cargo. 

a.  0090 kg 

b.  609.09 kg 

c.  61 kg 

d.  00.908 kg

41)  How do you determine the total length of the clothing materials if there are 7 2/10 meter and 15 4/5 meter available? 

a.  18 ½ m 

b.  23 m 

c.  18 m 

d.  18 ¼ m 

42)  Eight men can paint a 3 unit army school building in 3 days. How many more units will 12 men pain of this building? 

a.  ½ 

b.  1 ½ 

c.  2 

d.  1

43)  Only 682 examinees passed in a Pharmacists Licensure Examination out of 2550 examinees. What is the passing percentage? 

a.  26.5% 

b.  26% 

c.  26.7% 

d.  26.8%

44)  Convert this confiscated 8,000 grams of dangerous drugs into kilograms.

a.  8 kg 

c.  800 kg 

b.  800 kg 

d.  80 kg

45)  A rice field is divided into four sections. Each section is 25 meters by 38 meters. Get the perimeter of each section. 

a.  152 m 

b.  126 m 

c.  156 m 

d.  146 m

46)  Hacienda Rosita was to be decided among 22 tenants. Each tenant will be rewarded 6-hectares each. What was the area of Hacienda Rosita? 

a.  152 hectares 

b.  132 hectares 

c.  122 hectares 

d.  142 hectares

47)  The host had only 8 ¼ gallons of ice cream to serve. Upon arrival of the guest she served 3 ½ gallons. How many gallons are left for the late corners? 

a.  5 ¼ gallons

b.  4 ½ gallons  

c.  4 ¾ gallons 

d.  4 1/8 gallons 

48)  What is the product of (3+20) (4- 30)? 

a.  -598 

b.  598 

c.  59.8 

d.  5.98 

49)  The first prize of ₱40,000,000 was shared by 16 winners. How much will each claim? 

a.  ₱2,500,000.00 

b.  ₱2,800,000.00 

c.  ₱3,000,000.00 

d.  ₱2,700,000.00

50)  The harvest of corn is ₱8.00 per kilograms. The whole harvest total worth is ₱10,000.00. How many kilograms was the corn harvest? 

a. 1,050 kg 

b. 1,250 kg 

c. 2,000 kg 

d. 2,250 kg 

📚Answer Keys📚

1. C

2. A

3. C

4. B

5. A

6. A

7. A

8. D

9. A

10. A

11. A

12. A

13. A

14. A

15. B

16. A

17. C

18. A

19. D

20. B

21. D

22. A

23. A

24. A

25. A

26. A

27. A

28. A

29. D

30. A

31. B

32. B

33. B

34. A

35. D

36. B

37. B

38. A

39. C

40. B

41. B

42. B

43. C

44. A

45. B

46. B

47. C

48. A

49. A

50. B