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EXAM DRILL MATH I October 2015

DIRECTIONS: This is a test of your ability to think out solutions to quantitative problems in Mathematics. Analyze and solve each problem carefully. Determine the correct answer from the four choices a,b,c,d. 1. Find the sum: 299 + 943 + 398 + 101

a. 1,531 b. 1,641 c. 1,741 d. 122, 2222. If 1+2+3+4+5+6+7+8+9+10 = 55, then

11+12+13+14+15+16+17+18+19+20=a. 65 b. 155 c. 125 d. 550

3. If 1+2+3+4+5+6+7+8+9+10 = 55, then 101+102+103+104+105+106+107+108+109+110 = a. 1,055 b. 1,065 c. 1,075 d. 5,500

4. Evaluate: { 16 – (24 - 8) + 22 x 8 -8 }a. 40 b. 48 c. 64 d. 168

5. If 23+28+37+x+53 = 168 and 23+28+40+y+50 = 120. Find the value of x – y?a. 36 b. 48 c. 56 d. 64

6. Find the product: 800 x 125.a. 925 b. 1000 c. 10,000 d. 100,000

7. Find the quotient: 8000 ÷ 125.a. 48 b. 64 c. 80 d. 88

8. What is the remainder when 192 888 is divided by 8?a. 0 b. 4 c. 8 d. 24 111

9. Rounding 299 943 to the nearest thousands the result isa. 299 940 c. 299 900b. 299 000 d. 300 000

10. 398.101 is read asa. Three hundred ninety eight, one hundred

oneb. Three hundred ninety eight and one

hundred onec. Three hundred ninety eight and one

hundred one hundredthsd. Three hundred ninety eight and one

hundred one thousandths11. A number is divisible by 8 if its last three digits

is divisible by 8. Which of the following numbers is divisible by 8?a. 9 208 c. 88 254b. 6 236 d. 8 886

12. Which of the following statements is true?a. If a number is divisble by 5, the it is divisble

by 10b. If a number is divisible by 10, then it is

divisible by 5c. If a number is divisible by 3, then it is

divisible by 6d. If a number is divisible by 4, then it is

divisible by 8.13. Simplify:1/2 (128- 84) + (128- 84)- ½ (128- 84)

a. 0 b. 20 c. 44 d. 6414. Simplify: 33 1/3% of 48 + 12 ½% of 96 – 44

4/9% of 27? a. 12 b. 16 c. 24 d. 48

15. Reduce 231/1001 to its lowest term a. 7/11 b. 3/31 c. 3/13 d. 7/ 13

16. Which of the following is true? a. – 16 > 8 c. 54 – 9 ≥ 8 – 54b. 8/64= 1/4 d. 9/117= 1/17

17. Find the value of x: x = 3/8 (72 + 5/7 (35) a. 27 b. 36 c. 45 d. 52

18. What is 25% of 228?a. 54 b. 57 c. 54 d. 912

19. 228 is 25% of what number?a. 52 b. 57 c. 54 d. 912

20. 168 is what percent of 672?a. 25% b. 50% c. 400% d. 80%

21. Evaluate: 123 x 0.1 + 123 x 0.01 + 123 x 0.001.a. 13.653 b. 135.53 c. 1 356.3 d. 13 563

22. Find 314of 16.

a. 7 b. 16 c. 39 d. 5223. Evaluate:1+ ½ + ¼ +1/8 =?

a. 1 3/16b. 1 3/8c. 1 5/8d. 1 7/8

24. Find the value of x in the equation 3x+7 = 28a. {7} b. {-7}c. {±7} d. {4}

25. Which of the following has the greatest value?a. 8/ (6²) (8²) c. 1/ (6³) (8²) b. 16/ (6²) (8²) d. 168/ (6 ) (8³)

26. Which of the following cannot yield an odd integer when divided by 10?a. The sum of two odd integersb. The product of a prime number and an odd

integerc. The product of two odd integersd. The sum of three consecutive integers

27. If 8x + 12 + 24, what is the value of 24x + 36?a. 4 b. 6 c. 8 d. 72

28. If a positive integer m is divided by both 3 and 8, then m must also be divisible bya. 10 b. 18 c. 24 d. 60

29. If positive integers m and n are not both odd, which of the following is always true?a. m + n is even c. m – n cannot be oddb. mn is even d. m + n – 1 is odd

30. find the avergae temperature change for the 12-day period. Temperature change in degree celsuis: 2.6, 3.8, 7.0, 4.5, 7.9, 5.0, 8.1, 4.4, 5.3, 6.4, 5.2.a. 4.8 b. 4.9 c. 5.2 d. 5.4

31. Find the set of all odd numbers x satisfying the conditions 5 x – 4 ≤ 0 and 3x – 7 ≥ 0.a. x ⋮ x ≠ 1 b. {1}c. x ⋮ x Є R d. { }

32. State the property illustrated. If 8 (6) + 4 = 48 + 4 and 48 + 4 = 52 then 8(6) + 4 = 52a. Distributive property of multiplication over

additionb. Commutative property of additionc. Associative propertyd. Trasitive property of equality

33. If 8 less than the product of a number and -3 is greater than 7, which of the following could be that number?a. -6 b. -5 c. 5 d. 6

34. The difference between 8 times a number and 7 is 231. Find the number.a. 31 b. 37 c. 48 d. 1 984

35. Four times the perimeter of a parking lot is 16 less than 2 000 meters. What is the perimeter of the lot?a. 496 m b. 504 m c. 992 m d. 1 008 m

36. The amount of last month’s telephone bill, decreased by the product of 3 and P 30.00 equals P 1 319.50. Find the amount of the bill.a. P 1 229.50 c. P 1 310.50

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b. P 1 289.50 d. P 1 409.5037. Eighteen less than seven times the number of

sandwiches is 269. How many sandwiches are there?a. 32 b. 41 c. 44 d. 45

38. A house and lot are sold for P 14 M. The house costs 1.5 times as much as the lot. How much does the lot costs?a. P 5.6 M c. P 10.5 Mb. P 8.4 M d. P 21 M

39. The sale price of a television set is P 7 200. The discount rate is 40%. Find its regular price.a. P 4 320 c. P 6 800b. P 12 000 d. P 10 000

40. The lengths of the sides of a traingle can be represented by three consecutive integers. The perimeter of the traingle is 96 cm. Find the length of the longest side of the triangle.a. 28 b. 32 c. 33 d. 36

41. The length of a rectangle is 8 meters more than twice its width. The perimeter is 112 meters. Find its area.a. 16mb. 24mc. 28m2

d. 640m2

42. Paula is twice as old as Queenie. Seven years ago the sum of their ages was 16. How old is Queenie now?a. 8 b. 10 c. 16 d. 20

43. For what value of x will x be the average of 2,4x,6,8,10?a. 4 b. 12 c. 26 d. 39

44. How many integers between 197 and 303 are divisible by 4 or 10?a. 25 b. 26 c. 31 d. 37

45. A patient must take his medication every 7 hours starting at 7:00 A.M., Sunday. On what day will the patient first receive his medication at 8 A.M.?a. Sunday c. Thursdayb. Wednesday d. Tuesday

46. 1/3, 2/3, 1 1/3, 2 2/3, 5 1/3, _____a. 12 1/3 b. 10 2/3 c. 6 2/3 d. 15 1/3

47. 2, 5, 10, 17, 26, _____a. 39 b. 35 c. 42 d. 37

48. 2, 6, 12, 20, 30, _____ a. 42 b. 40 c. 38 d. 4649. 729, 243, 81, 27, 9, _____

a. 2 b. 3 c. 4 d. 550. 2, 3, 5, 9, 17, _____

a. 28 b. 24 c. 33 d. 3051. Eighteen bus loads of 56 students each went to

join the Frienship Day Celebration. One hundred seventy-four did not go. How many students are there in all?a. 180 b. 1282 c. 1182 d. 160

52. Toyota averages 8 km per liter of fuel. Ferrari averages 12 km per liter of fuel. If the price of fuel is P10.00 per liter. How much less would a 600 km. trip cost for car Ferrari that car Toyota?a. P600 b. P250 c. P500 d. P750

53. A jeep travels 240 km. at 60 kph and then returns at 40 kph. What is the average speed in kilometer per hour for the round trip?

a. 49 b. 50 c. 52 d. 4854. At Jose Street, there are 8 town houses and 52

private individual homes. What is the ratio of town houses to private individual homes?

a. 2:13 b. 1:13 c. 2:27 d. 4:1355. Bebe bakes a batch of cookies. A batch of her

cookies is 20. She eats one quarter of this first batch. She then cooks another 2 batches. How

many cookies does she now have?a. 55 cookies c. 67 cookiesb. 104 cookies d. 30 cookies

56. Aiana was 108 months old exactly. How many years old was she?

a. 13 years old c. 9 years oldb. 8 years old d. 12 years old

57. If Jerry solves word problems at a rate of 10 problems every 20 minutes, how many minutes will it take him to finish 60 problems?

a. 240 b. 120 c. 150 d. 6058. The sum of two numbers is 8. The difference

between 18 and twice the first number is two less than four times the second. What is the larger number?

a. 5 b. 11 c. 6 d. 459. A signature wallet is sold for P680 while marked

at P800. What was the rate of the discount?a. 12% b. 20% c. 25% d. 15%

60. Mang Nitoy decided to keep a record of the money he collects from his newspaper route. Using the information given, how much money does Mang Nitoy collect in the month of February? (note: Assume that February has 28 days and that February 1 was on a Sunday.)

Delivery Weekly Rate Number of Customers

Daily Except Sunday

P42 75

Sunday Only P10 60All Week (daily and Sunday)

P52 120

a. P49,950 c. P39,600b. P39,960 d. P19,980

61. Mr. Perez bought a P5,000.00 refrigerator on installment basis. He paid 25% as down payment. How much will he be paying monthly for 12 months?

a. P300.00 d. P312.50b. P315.00 e. nonec. P350.50

62. Which of the following is equal to 1 ?a. 1/0 c. 1x0 e. none of theseb. 0.01 d. 0/0

63. The population of the present time is 20% less than the previous population. If the present population is 4, 000. What is the previous population?

a. 5, 000 c. 5, 800 e. 5, 200b. 4, 200 d. 8,000

64. Mang Romy can climb a coconut tree at the rate of 10ft. per minute and return at 20 ft. per minute. If it took him 3 minutes to climb and return. What is the height of the coconut?

a. 25ft. c. 15ft. e. 18ft.b. 10ft. d. 20ft.

65. The formula for covering Fahrenheit thermometer reading to centigrade reading is ºC=5/9 (ºF-32). What is the equivalent of 95 degrees Fahrenheit?

a. 45 b. 40 c. 35 d. 30 e. 2566. 900 x .09 = ______

a. 0.81 b. 81 c. 8.1 d. 8167. 0.25+0.25+0.25+0.25 = ______

0.25a. 4 b. 0.04 c. 0.75 d. 7.5

68. Change 13 3/7 to an improper fraction.a. 39/7 b. 94/7 c. 273/7 d. 91/7

69. 8 inches is what part of a foot?a. 2/3 b. 5/6 c. 4/5 d. 7/12

70. Mr. Salvacion inherited 5/8 of his father’s estate. He sold 2/5 of his share. What part of the entire estate did he sell?a. 2/5 b. 3/8 c. 1/2 d. 1/4

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71. Write 7.5% as a fraction.a. 3/40 b. 3/4000 c. 3/4 d. 3/400

72. If an article priced at P 99.80 is subjected to a 10% VAT, what would be the total amount to be paid for the article?a. P109.78 c. P110.78b. P109.80 d. P89.82

73. There are 9 male teachers for every 14 females teachers. If there are 69 teachers in all, how many teachers are female?a. 39 b. 42 c. 27 d. 18

74. Mrs. Garcia pays P1,530 for a dress at 15% discount. How much is the marked price?a. P1,600 b. P1,750 c. P1,800 d. P1,600

75. 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?

a. 12 b. 15 c. 6 d. 9

76. Write 3.4% as a fraction.a. 3.4/100 c. 0.34/100 e. 34/100b. 3.4/1000 d. 0.34/100

77. Write ¾% as a decimal.a. 0.75 c. 0.0075 e. 7.5b. 0.075 d. 0.00075

78. What is the average of 0.6, 6.6, 0.4, and 2.4?a. 1 b. 10 c. 2 ½ d. 2 e. 12

79. P25.00 is 20% of what?a. P1,250.00 d. P120.00b. P125.00 e. P500.00c. P128.50

80. 12 is 125% of what number? a. 9.6 b. 8 c. 9 d. 10 e. 8.6

81. What percent of 16 is 40?a. 2.5% b. 2500% c. ¼ d. 250% e. 25%

82. 3 is 6% of a certain number. What is the number?a. 50 b. 53 c. 48 d. 18 e. 24

83. One tenth is what part of three-fourths?a. 3/40 b. 1/8 c. 40/3 d. 15/2 e. 2/1

84. What is the ratio of ¼ to 3/5?a. 1:3 b. 3:20 c. 5:4 d. 3:4 e. 5:12

85. Change the following percents to decimal: 28%, 4.5%, 3%, and 25.5%.a. .28, .045, 0.03, .255b. .28, .45, .003, .025c. .28, .045, .03, .025d. .28, .0045, .035, .255

86. The value of the expression 3xy + 5y + 7 when x = 2 and y = 3 is:a. 34 b. 40 c. 36 d. 42

87. Change the following percents to decimals: 23%, 5%, 3%, 3.5%a. 023, 5.00, 3.0, 03.5 b. .23, 0.05, 0.03, 0.035 c. 2.3, 500, 0.30, 30.5d. .23, 50, 30, 3.05

88. Which of the following is the numerical form for “twenty thousand twenty”?a. 20,000,20 c. 2,000,020b. 2,020 d. 20,020

89. Which of the following gives the sum of the polynomials (a2 + b2 + ab) and (3a2 + 4ab+2b2)?a. 5a2 + 5b2 + 5ab c. 4a2 + b2 + 5abb. 3a2 + 5ab – 2b2 d. 4a2 + 5ab + b2

90. How many twenty thousands are there in one million?

a. 100 b. 500 c. 1000 d. 5091. What is the range of the following:

86,70,83,90,85,78,79,81,87.a. 16 b. 20 c. 12 d. 15

92. Which of the following will give the same value as a (b + c – d)?a. ab-ac+ad c. ab+ac-adb. abc-d d. abcd

93. If 50% of x is 20, what is 30% of x? b. 30 b. 12 c. 20 d. 16

94. 40% of 35 is what percent of 140? a. 28% b. 29% c. 10% d. 14%

95. The edges of a rectangular solid have these measures; 1.5 feet x “feet by 3 inches. What is its volume in cubic inches?a. 324 cu. in. c. 225 cu. inb. 272 cu. in d. 27 cu. in.

96. In a math glass of 14 students, 9 students have an average of 76, while the other 5 students had an average of 90. What is the average of the whole class?a. 79 b. 88 c. 81 d. 85

97. A 737-model jet plane has 29 rows with 5 seats per row, except for the last three rows which had 3 seats each. What is the seating capacity of the lane?a. 144 b. 145 c. 139 d. 142

98. Aling Joana spent P91.80 for ingredients and fuel to cook ginataan, She was able to sell what she cooked to 32 customers who paid P4.50 each. How much did she gain from her enterprise?a. 14.40 b. 42.20 c. 28.40 d. 52.20

99. A bag marked P 240.00 was put on sale at a 25% discount. Because no one bought it, its sale price was reduced further by 10%. What is the combined percent discount given?a. 27 b. 32.5 c. 16.2 d. 35

100. In a certain school, the ratio of boys to girls is 3 to 7. If there are 150 boys and girls in the school, how may boys are there? a. 45 b. 90 c. 105 d. 75

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