General Education, Mathematics - Teachers ng Pinas

General Education – Mathematics

 

Practice Test. Choose the letter that corresponds to your BEST answer.

 

 

1.       Evaluate the following expression:

5 + 3 (42 +7) – 7 (2 + 32 x 8) 0

A.      0                            C. 72

B.      152                         D. -444

 

2.       Evaluate the following mathematical expression: 3+4(5+2x6)+12(2+4)+1

                         1 + (3 x 6) – 80/5

A.      16                           C. 36

B.      24                           D. 12

 

3.       Which among the following is NOT a prime number?

A.      31                                       C. 51

B.      41                                       D. 61

 

4.       How many prime numbers are there between 1 and 100?

A.      23                                       C. 25

B.      24                                       D. 26

 

5.       What is the largest prime number less than 100?

A.      91                                       C. 95

B.      93                                       D. 97

 

6.       What are the prime factors of 128?

A.      1 x 2 x 8                             

B.      2 x 2 x 2 x 2 x 2 x 2 x 2       

C.      2 x 2 x 2 x 4 x 4

D.      D. 2 x 3 x 2 x 2 x 2 x 2 x 2 x 2

 

7.       What are the prime factors of 153?

A.      3 x 3 x 17                           

B.      3 x 3 x 7 x 9                        

C.      153 x 1

D.      17 x 3 x 7

 

8.       What are the prime factors of 273?

A.      3 x 3 x 7 x 7                        

B.      3 x 17 x 11                         

C.      3 x 6 x 9 x 11

D.      3 x 7 x 13

 

 

9.       What is the least common multiple of 24 and 80?

A.      360                                    

B.      80                                      

C.      240

D.      480

 

10.   One trip around a running track is 440 yards. One jogger can complete one lap in 8 minutes; the other can complete it in 6 minutes. How long will it take for both joggers to arrive at their starting point together if they start at the same time and maintain their jogging pace?

A.      12 minutes                         

B.      24 minutes                        

C.      36 minutes

D.      48 minutes

 

11.   Josefa is making bead necklaces. She has 90 green beads and 108 blue beads. What is the greatest number of identical necklaces she can make if she wants to use all of the beads?

A.      12                           C. 16

B.      15                           D. 18

 

12.   Lisa bought a big bag of candy at a warehouse store. There are 102 pieces of candy in the bag. Lisa needs to divide the candy up into smaller bags. She wants to put the same number of pieces in each small bag. How many small bags could Lacey use?

 

A. 17

B. 18

C.19

D. 20

 

13.   A dish company needs to ship an order of 117 glass bowls. The company will put the bowls into several boxes. Each box must contain the same number of bowls. How many boxes could the company use for the order?

 

A. 11

B. 12

C. 13

D.17

 

14.   The number, 512115273999132, is NOT divisible by which of the following factors?

 

A.   2

B.   3

  1. 4
  1. 8

 

 

15.   When 2,000 pounds of paper are recycled, 17 trees are saved. How many trees are saved if 5,000 pounds of paper is recycled?

 

A.   41

B.   42.5

  1. 45
  1. 63

 

16.   A recipe calls for 2 eggs for every 5 cups of flour. A local chef will use 35 cups of flour, how many eggs must he have?

 

A.   12

B.   13

  1. 14
  1. 16

 

17.   Five out of every seven households have cable TV. If 42,000 households in a certain city have a TV, how many do not have cable TV?

 

A.   12,000

B.   21,000

  1. 30,000
  1. 32,000

 

 

18.   Our school has 8 male teachers who comprise 25% of all our teachers. How many teachers do we have?

 

A.   24

B.   28

  1. 32
  1. 40

 

19.   Miss Santiago's class has 20 boys and 15 girls in her English class. What percent of the students are girls?

 

A.   28%

B.   43%

  1. 44%
  1. 50%

 

20.   Jerome answered 80% of the 50 items correctly in a math test. How many items did he answer correctly?

 

A.   40

B.   44

  1. 45
  1. 50

 

21.   A businessman had incurred the following expenses in his trips to the Visayan islands: P 5,100.00, P 4,600.00, P 3,800, and P 3,200.00.What was his total expense for the trip?

 

A.   P 16,000

B.   P 16,700

  1. P 17,000
  1. P 17,500

 

22.   Ms. Tolenada weighed 60 kg. She lost 4 kg on her first week of exercise, gained 2 kg on her second week, lost 6 kg on the third week and remained her weight during fourth week. What was her weight on the 4th week?

 

A.   52 kg

B.   58 kg

  1. 68 kg
  1. 72 kg

 

23. A group of young people from four countries gathered together for an international conference: 40 from Manila, 60 from Japan, 35 from Thailand and 45 from Singapore. The participants will form discussion groups with equal number of members from each country in each group. What is the greatest number of discussion groups that can be formed?

            A. 5                  C. 20

            B. 15                 D. 25

 

24. During summer, a lady visits Baguio every 6 days, and his best friend every 4 days. If they visited Baguio last April 11, what was the earliest date did both of them visit Baguio again?

            A. April 21         C. May 5

            B. April 23        D. May 11

 

25. A recipe calls for ¾ cup of sugar.  How much sugar should be used if only ½ of the quantities given in the recipe is to be prepared?

A.             3­­­__         C.   __1___

4                       2

B.      ­­­­­­­       2__         D    __3____

       3                       8

 

 

26. In a bundle of new 100 bills, the bills are consecutively numbered RTC3432260 to RTC3432280.  How much is the total amount of bills?

 A. 3200            C. 3400

B. 3300             D. 3500

 

27. The sum of three consecutive integers is 96. What are the integers?

A. 31, 32, 33     C. 30, 32, 34

B. 32, 33, 34      D. 33, 34, 35

 

28. A farmer can plow    _2_      

             3

of a hectare in 1 hr.  At this rate, in how many hours will 5 farmers plow the same field?

A. __1___        C._15___

       5                     2

 B.     _10__      D.    10

            3

 

29. If the exchange rate of US   

dollars to pesos is $1 = Php47.90 what is the value of Php1 in American cents?

A. 02      C. 2

B. 479     D. 4.79

 

30. In a card game, a player got the following scores: 35, -60, -40, 80, -100, 25, -25.  What is his final score?

            A. -115              C.  85

            B. -85               D.  115

 

31. The first 5 numbers in a sequence are 2, 3, 5, 8, and 12.   What is the 7th number in the sequence?

            A. 15                 C. 23

            B. 19                 D. 25

 

32. A teacher wants to group her pupils into groups of 3 or 5 or 6.However, she found out that if she do that there will always be 1 pupil left. What is the least possible number of pupils in the class?

            A. 81                 C. 21

            B. 31                D. 11

 

33. Twelve pesos more than twice Mico’s allowance is at most 600 pesos. What is her maximum allowance?

            A. 300 pesos     C. 588 pesos

            B. 634 pesos     D. 294 pesos

 

34. What integer should be added to 11 to get a sum of at least 37?

 A. At least 15                                                          B. At least 25                                        

C. At least 26

 D. At least 32

 

35. What are the largest two consecutive odd integers whose sum is at most 60?

 A. 25, 27                                                

 B. 27, 29    

C. 29, 31                             

D. 31, 33

 

36. Two numbers are in ratio of 3:4. If their sum is 84, what is the smallest number?

A. 24                                                                       B. 36                                                       

C. 48

D. 54

 

37. The numerator of a fraction is 3 less than the denominator. If the numerator and the denominator are     each increased by 1, the value of fraction becomes ¾. What is the original fraction? 

A. 7/12                                                   

B. 8/12  

C. 8/11                                  

 D. 6/13

 

38.  Mr. Lucido deposited 225 pesos in the bank. If his deposit consisted of 29 bills, consisting of 5 peso and 10 peso bills, how many 10 peso bills did he deposit?

A. 13

B. 14

C. 15

D. 16

 

39. Brenda has saved 300 coins, consisting of 25 centavo and 10 centavo coins. If the total value of her Savings is 45 pesos, how many 10 centavo coins did she save?

A. 100                                                

B. 200   

C. 300

 D. 400

 

40. Julia can finish a project in 10 hours while Elenita can do the same project in 8 hours.

How long will it take them to finish the project together?

A.      3.44 hours                                       

B.      B. 4.00 hours

      C. 4.44 hours                           

      D. 18 hours

 

41. If a liter of chemical X is 95% pure, how many liters of water must be added to make a 50% solution?

 A. 0.80 L                                                                  B. 0.90 L                     

 C. 0.94 L

D. 0.09 L

 

42. Arthur has blended coffee worth 95 pesos per kilogram with coffee worth 115 pesos per kilogram to make 50 kilograms of coffee that will be sold at 107 pesos per kilogram. How many kilograms of each kind did she blend?

A.      20 kilos of 95/kg and 30 kilos of 115/kg

B.      30 kilos of 95/kg and 30 kilos of 115/kg

C.      30 kilos of 95/kg and 50 kilos of 115/kg

D.      60 kilos of 95/kg and 50 kilos of 115/kg

 

43. A victory liner bus travelling at a rate of 70 km/h leaves the station 2 hrs. after a freight truck has left and overtakes it in 5 hrs. At what rate was the freight truck travelling?

A.      20 km/h                                         

B.      B. 30 km/h    

       C. 40 km/h

       D. 50 km/h

 

44. Don Antonio invested part of 30,000 pesos at 5% interest and the remaining amount at 6% interest at BPI. If his investment yields an annual income of 1,620 pesos, how much did he invest at 6% interest?

A.      12,000 pesos      B. 14,000 pesos  

C. 16,000 pesos        D. 18,000 pesos

 

 45. The units digit of a two-digit number exceeds the tens digit by 2. Find the number if it is 4 times the sum of its digits.

      A. 24                                                                                                                                    

      B. 42    

      C. 48                                

       D.82

 

46. Using the integers 4,7,9,8 and, how many two digit numbers can be formed if repletion is NOT allowed?

      A. 20                                            

      B. 23   

      C. 25                              

      D. 28

 

47. In how many ways can 5 boys be seated in a row of 5 seats?

A. 72                                                                 B. 98    

C. 102

D.120

 

48. In how many ways can a team of 10 basketball players be chosen from 12 players?

       A. 62                                            

       B. 64   

       C. 66                                 

        D.72

 

49. If a picture frame is 27 cm long and 18 cm wide, what is the ratio of its length to its width?

       A. 3:2                                           

       B. 2:3     

       C. 3:5                                

       D. 5:3

 

50. Five bananas weigh as much as 3 star apples. In this rate, how many star apple will weigh a much as 45 bananas?

       A. 27                                             

       B. 30    

       C. 33                                                                                                              

       D. 36

 

51. It takes 20 men to build a building  for 60 days. Assuming that all men work at this rate, how many men will be needed to build the same building in 15 days?

A. 5                                                       

B. 80   

C. 100                                                                                                            D.120

 

52. The ratio of the number of carabaos, goats and cows in a farm is 5:1:2. If there are 48 animals of these kinds in his backyard, how many of them are goats?

    A. 2                                                    

    B. 4      

    C. 6                                                                                                                      

    D. 8

 

53. The ratio number of red, green and blue balls in a box is 2:5:6. How many green marbles are there if there are 52 marbles in all?

    A. 4                                                    

    B. 8     

   C. 20                                                                                                             

    D. 24

 

54. In a university, the ratio of female professors to the male professors is 8:5. If there are 75 male professors, how many are female professors?

     A. 120                                                

     B. 180    

    C. 225                                                                                                      

    D. 375/8

 

55. A meter stick was cut into 2 at the 25 cm mark. What is the ratio of the smaller piece to the larger piece?

      A. 1:3                                                

      B. 2:5 

     C. 3:4                                                                                                                         

     D. 4:5

 

56. In a survey to determine the reaction of people about having a new GSIS card, 80% of the 2,400 people voted in favour of the new card. How many of the voters did not vote for the new card?

A. 1920                         C. 800

B. 1600                         D. 480

 

57. Lulu spends 15% of her monthly income for house rental, 10 % for electric bill and 25% for food and other miscellaneous expenses. After paying all these expenses, she still has P6, 000 left. How many much does she earn every month?

 

A.  P 15,000.00              C. P9,000.00

B. P 12,000.00               D. P8,000.00

 

58. If 500 or 25% of a graduating class are girls, how many are graduating?

A. 2,000                        C. 10,000

B. 5,000                        D. 20,000

 

59. At 25% discount, Ms. Barat paid P159.75 for a bag. What was the original price of the bag?

A.  P37.69                     C. P201.00

B. P150.75                    D. P603.00

 

60. A man accepts a position at P14, 250 basic salary with an agreement that he will receive a 2% increase every year for 3 years. What will his salary be at the end of the years?

A.  P14,950.00               C. P15,122.21

B. P15,105.00                 D. P16,500.00

61. A man invested Php100, 000. He put part of it in the bank at 5% interest. On the other hand, he invested the remainder in bonds with a 9% yearly return. How much did he put in the bank if his yearly income from the two investments was Php7, 400?

 

A. Php40,000.00           C. Php60,000.00

B. Php50,000.00            D. Php70,000.00

 

62. Max is planning to take leisurely stroll around their rectangular patio, which measures 27.7 m long and 21.5 m wide. How far does Max have to walk?

 

A. 96.4 m                      C. 98.4 m

B.120.4 m                     D. 88.4 m

 

63.  Which among the following has the largest perimeter?

 

A. Square pizza with perimeter of 80 cm

B. Circular pizza with radius of 13 cm

C. rectangular pizza with dimension 10

cm x 14 cm

D. Circular pizza with radius 8.5 cm

 

64. You own a small rectangular box measuring 3 cm x 2cm. If the dimension of this box are increased by 10 %, what is the area of the resulting box?

 

A. 6.26 cm²                   C. 7.12 cm²

B. 6.22 cm²                   D. 7.26 cm²

 

65. What is the area of a rhombus whose diagonals measure 10 m and 12 respectively?

 

A. 120 m²                      C. 60 m²

B. 100 m²                      D. 360 m²

66. Find the volume of a toy ball whose radius is 2 cm.

A. 33.49 cm³                 C. 51.76 cm³

B. 48.56 cm³                  D. 50.24 cm³

 

67.A tin can has a radius of 6cm and a height of 20 cm. what is the volume milk that this container can hold?

A.3,000 cm³            C.1,689 cm³

B.2, 261 cm³             D.2,200 cm³

68. The total surface area of a cubic box is 600 cm². What is the length of side this box?

A.6 cm                   C.9 cm

B.8 cm                    D.10 cm   

 

69. After a stone is dropped into a cylindrical container filled with 100 cm³ water, the water rises and the new reading is 106.5 cm3. What is the volume of the stone?

A.6.5 cm³               C.60.5 cm³

B.60. 65 cm³            D.10.65 cm³

 

70. Which of the following lengths is the longest?

A.555 cm                 C..005 km

B.5.5 m                     D.5555 mm

 

71.One-fifth of the width and one fourth of the length of a rectangular cardboard is cut off. What part  of the original cardboard is the area of the remain piece?

A.30% of the original area

B.40% of the original area

C.50% of the original area

D.60% of the original area

 

72.If the area of a triangle is 1 sq unit and its height is unit,  what is the length of its base?

A. 1 unit

B. 2 units

C. 3 units

D. 4 units

 

73. What is the radius of a circle whose area is 25 cm2?

A. 25 cm

B. 25 cm

C. 5 cm

   o

D. 5 cm

 

74. Refer to the figure. Given: m 2 = 55º and m 4?

4

1

3

5

2

 

 

 

 

 


A.      95º

B.      105º

C.      115º

D.      135º

 

75. Mrs. Dinah Tah Danda divided her lot among her 4 children. The first got    ha, the second  ha, the third , and the fourth  ha. How big is Mrs. Tanda’s lot?

A.  ha

B. 13 ha

C.  ha

D. 14 ha

 

76. An elevator can carry a maximum load of 605 kg. How many passengers of weight 50.5 kg each can the elevator hold?

A. 12

B. 11.9

C. 11

D. 10

 

77. A room is 30 ft. long, 25 ft. wide and 14 ft. high. If 42 balloons are inside the room, how many cubic feet of space does this allow for each balloon?

A. 25

B. 9

C. 250

D. 690

 

78. What is the volume of air in an atmospheric          balloon with a diameter of 24 cm?

            A. 133 cm                     C. 570 cm

            B. 240 cm                     D. 2304 cm

 

79. A photograph measuring 7 ½ cm by 5 cm is enlarged so that the longer side is 24 cm. What is the length (in cm) of the shorter side?

            A. 36                             C. 6

            B. 16                            D. 1.6

 

80. How many cm are there in 2 m and 550 mm?

            A. 75                             C. 2055

            B. 255                           D. 2550

 

81. How much liquid containing 6% boric acid should to be mixed with 2 quarts of a liquid that is 15% boric acid in order to obtain a solution that is 12% boric acid?

            A. 1 quart                     C. 3 quarts

            B. 2 quarts                    D. 5 quarts

 

82. A defective ruler was found to be 11.5 in long. Using this ruler, Samuel was found to be 4 ft tall. What is Samuel’s actual height?

            A. 4 ft 2 in         C. 3 ft 11.5 in

            B. 4 ft 4 in         D. 3 ft 10 in

 

83. How many grams are there in 1 petagram?

            A. 5                              C. 1015

            B. 5,000                        D. 5 x 1015

 

84. If an apple weighs about 170 grams, about how many apples are in a 3.5 kilogram bag of apples?

            A. 20                C. 22

            B. 21                 D. 23

 

85. A new supercomputer measures 462 lbs in weight. How much does it weigh in grams?

            A. 210 g                        C. 21,000 g

            B. 2,100 g                     D. 210,000 g

 

86. How many liters are there in 353 quarts?

            A. 353 L                        C. 326 L

            B. 334 L                        D. 324 L

 

87. Paul and his son participated in a marathon. Paul traveled 3 km 50 m while his son ran 502 m 36 cm. What is the total distance that the father and son tandem covered?

            A. 3,760 m                    C. 3,552 m

            B. 5,452 m                    D. 3,550 m

 

88. A slow moving snail traveled 4,800 mm. How far did it travel in kilometers?

            A. 0.0048 km                C. 0.48 km

            B. 4.8 km                      D. 0.048 km

 

89. For the fruit punch, 3050 mL of fruit juice is needed. How much fruit juice is needed in dekaliters?

  1. 0.305 daL                     C. 5.03 daL
  2.  3.05 daL                       D. 0.053 daL

 

89. For the fruit punch, 3050 ml of fruit juice is needed. How much fruit juice is needed in dekaliters?

 

A. 0.305 daL

B. 3.05 daL

C. 5.03 daL

D. 0.053 daL

 

90. The measure of an angle is 25 more than its supplement. What is the measure f the larger angle?

 

A. 102.5 degrees

B. 77.5 degrees

C. 90 degrees

D. 110 degrees

 

91. If the measure of an angle is twice the measure of its complement. What is the measure of the angle?

 

A. 30 degrees

B. 60 degrees

C. 90 degrees

D. 120 degrees

 

92. Which among the following statements is ALWAYS TRUE?

 

A. The supplement of an angle is acute.

B. The complement of an angle is obtuse.

C. The complement of any acute angle is acute.

D. Two supplementary angles are congruent.

 

93. Which of the following is ALWAYS FALSE?

 

A. Two adjacent right angles are supplementary

B. Complement of congruent angles are congruent

C. Two intersecting lines form two pairs of vertical angles

D. Angles that form a linear pair are complementary

 

94. What is the measure of an angle if the measure of its supplement is 39 degrees more than twice the measure of its complement?

 

A. 29 degrees

B. 39 degrees

C. 49 degrees

D. 59 degrees

 

 

 

 

 

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95. Consider the triangle illustrated below. Find the measure of angle x.   

                                                       

                                                           3x - 5

              

                5x + 5                                  3x - 15

 


A.      57 degrees

B.      47 degrees

C.      55 degrees

D.      22 degrees

 

96. Consider the triangle illustrated below. Find the value of x.

 

 

 

 

nnklk

                68

 

 

           x                                         125

A.      55                                            

B.      35

C.      60

D.      25

97. Two angles of a triangle measure 4 cm and 7 cm. What is the range of values for the possible lengths of the third side?

 

A. 4 < x < 7

B. 3 < x < 11

C. 7 < x < 11

D. 11 < x < 15

 

98. Which of the following statement is TRUE?

 

A. A rectangle is a square

B. A parallelogram is a trapezoid

C. A rhombus is a rectangle

D. A square is a rhombus

 

99. Consider the quadrilateral below. Find the value of x.

 

 

 

 

 


A. 22                             C. 112

B. 56                            D. 54

 

100. If the sum of the interior angles of a regular polygon is 1980 degrees, how many sides does it have?

 

A. 11

B. 12

C. 13

D. 14

 

101. What is the sum of the measures of the interior angles of an icosagon?

A.      3100

B.      3140

C.      3240

D.      2850

102. What is the measure of an interior angle of a dodecagon?

A.      120 degrees

B.      130 degrees

C.      140 degrees

D.      150 degrees

103. How many unique diagonals can be drawn in a pentagon?

A.      5

B.      6

C.      7

D.      10

104. Nine unique diagonals are drawn in a regular polygon. How many sides does it have?

A.      9

B.      8

C.      7

D.      6

105. A triangle has a perimeter of 50. If 2 of its sides are equal and the third side is 5 more than the equal sides, what is the length of the third side?

A.      5

B.      10

C.      15

D.      20

106. A rectangle is 4 times as long as it is wide. If the length is increase by 4 inches and the width is decrease by 1 inch, the area will be 60 squares inches. What were the dimensions of the original rectangle?

A.      2 x 32

B.      4 x 16

C.      3 x 14

D.      5 x 12

107. In a quadrilateral two angles are equal. The third angle is equal to the sum of the two equal angles. The fourth angle is 60˚ less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.

A.      25˚, 35˚,90˚, 220˚

B.      25˚, 45˚, 70˚, 70˚

C.      35˚, 35˚, 70˚, 220˚

D.      35˚, 35˚, 70˚, 210˚

108. If one side of a square is doubled in length and the adjacent side is decreased by two centimeters, the area of the resulting rectangle is 96 square centimeters larger than that of the original square. Find the dimensions of the rectangle.

A.      17 x 24

B.      24 x 24

C.      10 x 24

D.      6 x 16

109. The smallest angle of a triangle is two-thirds the size of the middle angle, and the middle angle is three-seventh of the largest angle. Find all three angle measures.

A.      30˚, 60˚, 90˚

B.      45˚, 45˚, 90˚

C.      35˚, 45˚, 110˚

D.      30˚, 45˚, 105˚

110. If the height of a triangle is five inches less than the length of its base, and if the area of the triangle is 52 square inches, find the base and the height.

A.      Base=13, Height= 8

B.      Base=12, Height =9

C.      Base=11, Height=7

D.      Base=13, Height=4

111. A wood frame for pouring concrete has an interior perimeter of 14 meters. Its length is one meter greater than its width. The frame is to be braced twelve-gauge steel cross wires. Assuming an extra half meter of wire is used at either end of a cross wire for anchoring, what length of wire should be cut for each brace?

A.      6 m

B.      7 m

C.      8 m

D.      12 m

112. Find the largest possible rectangular area you can enclose, assuming you have 128 meters of fencing.

A.      256 m²

B.      512 m²

C.      1024 m²

D.      2048 m²

113. In a photograph, Bianca is 9 cm tall and her brother Tristan is 10 cm tall.  Bianca’s actual height is 153 cm.  What is Tristan’s actual height?

 

A. 148 cm                     C. 168 cm

B. 156 cm                     D. 170 cm

 

114. The measures of the angles of a triangle are in a ratio of 2:3:4.  Find the measure of the middle angle.

 

A. 30˚                                C. 60˚

B. 40˚                                     D. 80˚

 

115. The graph shows the number of socks, belts, handkerchiefs, and neckties sold by a store in a week.

 

 

The names of the items are missing on the graph. Socks were the item most often sold, and fewer neckties than any other item were sold.  More belts than handkerchief were sold.  How many belts were sold?

A. 80                             C. 120

B. 90                             D. 140

 

116. An empty box weighs 1.3 kilos.  A Math book weighs 1.5 kilos.  Which expression gives the weight of the box when filled with the y Math books?

 

A. 1.3y + 1.5                  C. 1.3 + 1.5y

B. 1.5y – 1.3                  D. 1.3y + 1.5y

 

117. A building 25 m tall casts a shadow 10 m long.  How long is the shadow of a 5-foot girl standing besides the building?

 

A. 2 ft                           C. 10 ft

B. 2.5 ft                         D. 250 ft

 

118. What is the maximum number of books, each 1.4 cm thick that can be put vertically in a shelf which is 64 cm long?

 

A. 44                             C. 46

B. 45                            D. 64

 

119. Factor completely the expression:

                a2x – 5b2y – 5a2y + b2x.

A. (a2 + b2) (x – 5y)       

B. (a2 – b2) (x + 4y + 3)

C. (a + b) (a – b)(x – 5y)

D. (a2 + b2) (x2 – 5y2)

 

120. Which among the following is NOT a perfect square trinomial?

 

A. x2 + 8x + 16

B. 9x2 + 12x + 4

C. 49x2 + 70x + 36

D. x2 + 6x + 9

 

121. Factor completely the expression:

              27a3 – 54a2b + 36ab2 – 8b3.

 

A. (3a – 3b)3                  C. (4a – 3b)3

B. (a – 3b)3                    D. (3a – 2b)3

 

122. What is the greatest common monomial factor of the expression:

            -13abc – 39bc + 26ab?

 

A. 3b                             C. 13abc

B. -13b                         D. 26b

 

123. Which factoring technique will best help you to factor the expression: x2 + 6x – 7 = 0?

 

A. Difference of two cubes

B. Common monomial factor

C. Grouping

D. Completing the square

 

124. Find the general equation of the line which passes through the points (2,-1) and (-3, 5).

 

A. 6x + 5y – 7 = 0

B. 5x – 6y – 7 = 0

C. 6x + 7y – 5 = 0

D. 6x + 6y – 5 = 0

 

125. What is the equation of the line with x-intercept of 4 and y-intercept of 3?

 

A. 3x + 4y = -12

B. 3x – 4y = 12

C. 6x – 8y = 12

D. 4x – 3y = 12

 

126. Find the equation of the line with a slope of 4 and passing through the point (-5, 3).

 

A. x – 4y = -23

B. 4x – 4y = 23

C. 4x – y = -23

D. x – y = -4

127.  Find the slope of the line described by the following table of values:

X

-2

0

2

4

Y

-7

-4

-1

2

 

A. 1.50                          C. 2.50

B. 0.66                          D. 3.50

 

128. What is the equation of the line whose slope is -2 and whose y-intercept is 3?

 

A. 2x + 3y = 6

B. x + 2y = 3

C. 2x + 2y = 4

D. 2x + y = 3

 

129. The length of a rectangle is 18 cm.  what are the possible widths that will give a perimeter less than 150 cm?

 

A. 3 < width < 54

B. 0 < width < 57

C. 18 < width < 36

D. 12 < width < 57

 

130. What is the simplest form of the expression?

 

A. -2x + 4y – 17

B. 2x + 4y + 17

C. 2x + 4y – 17

D. 2x + 4

 

131. If x = 1 and y = -2, what is the value of the expression  - 4x +  ?

 

A. -                                C. -

B. -                              D. -  

 

132. If -3x < 6, which of the following statements is TRUE?

 

A. x < -2                          C. x > 2

B. x < 2                           D. x > -2

 

133. If a die is rolled, what is the probability of getting a number divisible by 2?

 

A. 1/6                            C. ¼

B. ½                             D. 1/3

 

134. Which among the measures of central tendency is NOT influence by outliers?

 

A. mean                        C. median

B. weighted mean          D. mode

 

135. Monica obtained the following results from her mathematics exams: 80, 82, 83, 91.  What score must she get on the next exam so that her average score is 85?

 

A. 92                             C. 89

B. 93                             D. 85

 

136. In a Filipino test, eight students obtained the following scores: 10, 15, 12, 18, 16, 24, 12, 14.  What is the median score?

 

A. 14                             C. 15

B. 14.5                          D. 15

 

137. The following table summarizes the scores of Section A on the recent periodic test in Social Studies. What is the median score interval?

Score

Frequency

16 – 23

2

24 – 31

4

32 – 39

6

40 – 47

12

48 – 55

10

56 - 62

8

 

A. 24 – 31                     C. 40 – 47

B. 32 – 39                     D. 48 – 55

 

138. The following measurements were obtained from the caliper : 20, 15, 20, 14, 18, 15, 6. What is the mode?

 

A. 15                             C. 14

B. 20                             D. 15 and 20

 

139. The following are Joselito’s grades for the 3rd quarter. Find his general weighted average.

 

Subject

Units

Grade

Math

3

89

English

2

84

Science

3

90

Filipino

2

86

HEKASI

2

84

 

A. 87.08                        C. 86.36

B. 89.50                        D. 87.45

 

For numbers 140 – 144, consider the following situation. The grades in Math of the students in Section B are as follows : 70, 95, 60, 80, 100.

 

140. What is the mean absolute deviation of their group? 

 

A. 11.7                          C. 14.6

B. 13.2                         D. 15.9 

 

141. What is the population variance of their group?

 

A. 224                           C. 264

B. 250                           D. 280

 

142. What is the population standard deviation of their group?

 

A. 16.73                        C. 1.58

B. 1.41                          D. 14.97

 

143. What is the range of their group?

 

A. 60 – 95                     C. 60 – 100

B. 70 – 100                   D. 80 – 95

 

144. What can you infer from the measures of variability obtained from this population?

 

A. The population is very homogeneous.

B. The measures are very unstable.

C. The grades are very scattered.

D. The range of scores is a very reliable measure of variability.

 

145. What measure of central tendency can best describe the size of t – shirts commonly used by teen- agers?

 

A. mean                        C. mode

B. median                     D. both A and D

 

146. The following are the results of the recent achievement test in Mathematics of the four divisions:

Division

Mean

Standard Deviation

I

34

4.5

II

34

3.0

III

23

1.0

IV

20

2.0

 

Which division performed best?

A. I                               C. III

B. II                              D. IV

 

147. What is the probability of getting a multiple of 3 when a die is tossed?

 

A. 1/6                            C. 1/3

B. ¼                             D. ½

 

148. In how many ways can 5 basketball players be chosen from a group of 9 players?

 

A. 126                           C. 15, 120

B. 212                           D. 362, 880


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