M2025-GED9-MATHEMATICS PDF Past Paper

Dr. Carl E. Balita Review Center ANSWER SHEET: CBRC Headquarters 2nd Flr., Carmen Building, 881 G. Tolentino St. corner España 1....

Dr. Carl E. Balita Review Center ANSWER SHEET: CBRC Headquarters 2nd Flr., Carmen Building, 881 G. Tolentino St. corner España 1. 26. 51. 76. Blvd., Sampaloc, Manila 1008 2. 27. 52. 77. 3. 28. 53. 78. CLASSIFIED EXAMINATION 4. 29. 54. 79. FOR CRITICAL TEST ANALYSIS 5. 30. 55. 80. GENERAL EDUCATION 6. 7. 31. 32. 56. 57. 81. 82. MATHEMATICS 8. 33. 58. 83. 9. 34. 59. 84. 10. 35. 60. 85. BOARD LICENSURE EXAMINATION FOR PROFESSIONAL TEACHERS 11. 36. 61. 86. 12. 37. 62. 87. WARNING: This material is protected by Copyright Laws. 13. 38. 63. 88. Unauthorized use shall be prosecuted in the full extent of 14. 39. 64. 89. the Philippine Laws. For exclusive use of CBRC reviewees 15. 40. 65. 90. 16. 41. 66. 91. only. 17. 42. 67. 92. 18. 43. 68. 93. 1. Perform the indicated operation: 70 ÷ 7 x 5 + 64 ÷ 4 x 2 19. 44. 69. 94. A. 10 C. 36 20. 45. 70. 95. DR. CARL RE.CBALITA REVIEW CENTER B. 34 D. 82 21. 46. 71. 96. 22. 47. 72. 97. A 23. 48. 73. 98. 2. Evaluate the following mathematical expression: 24. 49. 74. 99. 3 + 4(5 − 2 × 6) + 12(2 + 4) + 1 25. 50. 75. 100. 80 1 + (3 × 6) − 13. The Greatest Common Factor of 12 and 42 is __________. 5 A. 2 C. 4 G A. 16 C. 36 B. 6 D. 12 B. 24 D. 12 14. Find the greatest common factor of: 3. The readings on a water meter in April and May are 417.8kl 9𝑥 3 𝑦 2 𝑧 4 , 15𝑥 2 𝑦 2 𝑧 3 , 12𝑥 2 𝑦 4 and 430.4kl. If there is a basic charge of 23 pesos and the N cost per kl is 20 pesos, how much is the billing for water A. 3𝑥 3 𝑦 2 𝑧 4 C. 3𝑥 2 𝑦 2 𝑧 3 consumption between the two months? B. 3𝑥 2 𝑧 4 D. 3𝑥 2 𝑦 2 A. P252 C. P254 B. P272 D. P275 15. Find the least common multiple of: 3𝑥 3 𝑦 3 𝑧 4 , 5𝑥 2 𝑧 3 , 2𝑥 5 𝑦 4 𝑧 2 4. Which of the following is the product of 13 and an integer? A A. 1326 C. 1323 A. 30𝑥 5 𝑦 2 𝑧 4 C. 30𝑥 3 𝑦 3 𝑧 3 5 B. 131 D.1343 B. 30𝑥 2 𝑧 3 D. 30𝑥 5 𝑦 4 𝑧 4 2 20 5. Which of the following is NOT a prime number? 16. What is the missing terms in the series: A. 31 C. 51 5, 20, 80, ___,1280, ___, 20, 480 P B. 41 D. 61 A. 50 ; 210 C. 35 ; 125 H B. 40 ; 160 D. 320 ; 5120 6. What are the prime factors of 273? A. 3 x 3 x 7 x7 C. 3 x 6 x 9 x 11 17. What is the sum of the first 20 counting numbers? B. 3 x 11 x 17 D. 3 x 7 x 13 A. 105 C. 400 M B. 210 D. 420 7. What is the largest prime number less than 100? A A. 91 C. 95 18. How much greater is the sum of the first 20 counting M B. 93 D. 97 numbers than the sum of the first 10 counting numbers. A. 55 C. 110 8. What property is illustrated in the following? B. 100 D. 155 T 5 + (2 + 6) = (5 + 2) + 6 A LE A. Associative Property C. Reflexive Property 19. The number 99,132 is NOT divisible by which of the following B. Distributive Property D. Transitive Property factors A. 2 C. 4 2 5 B. 3 D. 8 + P 3 6 9. Simplify: 4 1 20. The number 22,476,216 is NOT divisible by which of the − following numbers? 5 3 14 13 A. 3 C. 8 A. C. 45 45 B. 4 D. 9 45 45 B. D. 21. How many centimeters are there in a kilometer? 14 13 A. 1, 000 C. 100, 000 B. 10, 000 D. 1, 000, 000 10. What number must be subtracted from both numerator and denominator of the fraction 11/23 to give a fraction whose 22. A meter was cut at the 35-cm mark. What is the ratio of the value is 2/5? smaller piece to the larger piece? A. 3 C. 5 A. 7:13 C. 35:100 B. 4 D. 2 B. 65:35 D. 65:100 11. What is the value when 8.56 is multiplied by 10 to the sixth 23. Find m in the proportion m/12 = 30/24 power? A. 15 C. 25 A. 8560 C. 856000 B. 20 D. 30 B. 85600 D. 8560000 12. What is the least common multiple of 24 and 80? A. 360 C. 240 B. 80 D. 480 LET M2025 Mathematics CONTROLLED COPY: 2024 Rev: 00 24. A recipe for custard requires 4 eggs for every 8 cups of flour. 𝑎2 −1 𝑎2 The baker has 32 cups of flour and so the baker will need 39. Simplify: ÷ 𝑎2−𝑎+1 𝑎3 +1 _____ eggs. 𝑎−1 2 A. 8 C. 24 A. C. B. 12 D. 16 𝑎2 𝑎+1 𝑥−3 𝑎+1 B. D. 25. A five-foot high tree casts a shadow seven feet long. Another 3 𝑎2 tree casts a 21 feet shadow. If the heights and shadows an in proportion, how high is the second tree? 40. Simplify: 2√9𝑥 4 𝑦 2 A. 10 C. 12 A. 6𝑥 2 𝑦 2 C. 6𝑥 2 𝑦 3 B. 15 D. 25 B. 6𝑥 2 𝑦 D. 6𝑥 2 𝑦 4 26. A stick 96 cm long is to be divided in the ratio 3:4:5. How 41. Carol is buying an ice cream. The ice cream costs 30 pesos long is the longest part? plus 15 pesos charge for each additional scope. Which A. 8 C. 24 expression correctly models the amount Carol will pay (y) if B. 16 D. 40 she has an additional x scopes? A. y = 30x + 15 C. y = 15x + 30 27. Mark divides his day into leisure, sleep, and work in the ratio B. x = 30y + 15 D. x = 15x + 30 1:2:3. How many hours does he spend for work? DR. CARL RE.CBALITA REVIEW CENTER A. 4 C.12 42. How do you express “six less than thrice a number n is 17” B. 8 D. 16 in a mathematical expression? A A. 6 < 3n = 17 C. 3n < 6 = 17 28. It takes 8 days for 35 laborers to harvest coffee on a B. 6 – 3n = 17 D. 3n − 6 = 17 plantation. How long will 20 laborers take to harvest coffee on the same plantation? 43. A certain number doubled and increased by 10 is 14. What A. 4.6 days C. 14 days is the number? B. 10 days D. 20 days G A. 2 C. 4 B. 3 D. 5 29. On a certain day, three computer technicians took turns in manning a 24hour internet shop. The number of hours 44. What should be the value of x in the equation -2x+10= 16? Cesar, Bert and Danny were on duty was in the ratio 1:2:3, A. 3 C. -6 respectively. The shop owner pays them Php 40 per hour. N B. -3 D. 6 How much would Danny receive for that day? A. Php 230 C. Php 160 45. Solve for x: 6x + 3 = 2x + 11 B. Php 960 D. Php 480 A. 1 C. 3 B. 2 D. 4 30. The sides of a triangle are 3, 6, and 8. If the largest side of a similar triangle is 16, what is the shortest side? 46. If a=2, b=1 and c=3. What is the value of 1+2b–c? A A. 6 C.18 5 A. 5 C. 0 B. 12 D. 24 B. 7 D. 11 2 20 31. What is the degree of the following polynomial: 47. What is the value of the function of 𝑓(𝑥) = 𝑥 2 − 3𝑥 + 4 if 𝑥 = 6𝑥 2 − 3𝑥 3 + 9 −5? P A. 2 C. 6 A. -6 C. -5 H B. 3 D. 9 B. 14 D. 44 32. What is the exponent in the expression 13x2 + y? 48. The solution set for the equation: x2 - 4x - 5 = 0 A. 2 C. x A. x = 5,9 C. x = 5,1 M B. y D. 13 B. x = -5,1 D. x = 5, -1 A 𝑥 1 33. Simplify: 3(x – 4y) – (4y – 3x) – (2x + y) M 49. Solve for x: =3 A. 4x + 17y C. 4x-17y 𝑥+8 B. -4x + 17y D. -4x-17y A. 3 C. 5 B. 4 D. 6 T A 34. Simplify: (2x – 3y) – (8x + 6y + 4) LE A. – 6x – 9y – 4 C. 6x – 9y – 4 50. In a group of 50 male students, 18 play basketball, 26 play volleyball, and 2 play both basketball and volleyball. How B. – 6x – 9y + 4 D. 6x + 9y + 4 many of these students do not play either basketball or volleyball? 35. Simplify: 2𝑥 + {4𝑦 − (5𝑥 − 3𝑦)} A. 10 C. 8 P A. 3𝑥 + 𝑦 C. −3𝑥 − 𝑦 B. 12 D. 5 B. 3𝑥 − 7𝑦 D. −3𝑥 + 7𝑦 51. The two complementary angles is in the ratio 1:4. What is 36. Simplify: 8x+(3x – 2y)+(6x – 9)–(x+y). the larger angle? A. 16x – 3y + 9 C. 16x + 3y + 9 A. 18 C. 36 B. 16x + 3y – 9 D. 16x – 3y – 9 B. 72 D. 90 37. Simplify the following expression: 52. If the measure of an angle is twice the measure of its (4𝑥 + 9𝑦 − 10𝑧) − (3𝑥 + 5𝑦 + 11𝑧) complement, what is the measure of the angle? A. 30 degrees C. 90 degrees A. 7𝑥 + 3𝑦 − 𝑧 C. 𝑥 − 3𝑦 + 𝑧 B. 60 degrees D. 120 degrees B. 𝑥 + 4𝑦 − 21𝑧 D. 7𝑥 + 4𝑦 − 21𝑧 53. What angle relationship exists between the two acute angles 38. Simplify (3x - 9) / (x2 - 9) of right triangle? A. 3/ (x-3) C. 3/ (x+1) A. complementary C. linear pair B. 3/ (x+3) D. 3/ (x-1) B. supplementary D. adjacent 54. 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. 50° D.80° LET M2025 Mathematics CONTROLLED COPY: 2024 Rev: 00 55. If the length of a rectangle is 15 cm and its width is 10 cm, 70. Which of the following is NOT the sides of a right triangle? what is its perimeter? A. 3, 4, 5 C. 20, 21, 29 A. 25 C. 60 B. 7, 8, 12 D. 5, 12, 13 B. 50 D. 85 71. The ratio in a right triangle of adjacent to hypotenuse is 56. The fence in the yard is square in shape. One side is 11 ______. meters. How many meters of wood are needed to enclose A. Sine C. Cosine the fence? B. Tangent D. Inverse cosine A. 22 C. 44 B. 33 D. 55 72. Diane scored 79, 84, 86, 88, and 92 in her tests in Calculus. What should be her score on the 6th test to get an average 57. Which of the following has the largest perimeter? of 85? A. Square with side 22cm A. 81 C. 83 B. Circular pizza with radius 13 cm B. 82 D. 84 C. Rectangle with sides 22 and 23cm D. Equiangular triangle with a 24cm side 73. The boy received his report card with the following grades: 93, 88, 80, 86, and 83. What is his average grade? 58. What is the measure of each side of a square whose A. 86.20 C. 88 perimeter is 108 inches? B. 87 D. 86 DR. CARL RE.CBALITA REVIEW CENTER A. 22 C. 26 B. 23 D. 27 74. What the mode of the set is of scores 26, 40, 39, 49, 57, 28, A 40, 57, 40, and 49? 59. How many decimeters of fencing materials is needed to A. 26 C. 49 enclose an 8 meters by 13 meters rectangular garden? B. 40 D. 57 A. 360 dm C. 480 dm B. 420 dm D. 520 dm 75. What measure of central tendency can best describe the size of t-shirts commonly used by the teenagers? G 60. An isosceles triangle has a base of 5 meters and a perimeter A. Mean C. Mode of 25 meters. Find the length of the equal sides. B. Median D. Range A. 10 m C. 30 m B. 20 m D. 50 m 76. What is the median of 13, 14, 16, 20, and 23? A. 16 C. 18 61. A trapezoid whose height is 12 cm and whose bases are 30 cm and 48 cm respectively. Find its area. A. 108 B. 117 C. 234 D. 468 N B. 17.2 D. 19.4 77. What measure of central tendency is the most frequently occurring score in a distribution? A. Average C. Median 62. The area of the rectangular garden is 40 square meters. The B. Mean D. Mode A length of the garden is 3 meters more than its width. Find the 5 dimension of the rectangular garden. 78. Which among the measures of central tendency is 2 A. 10m by 4m C. 8m by 5m influenced by outliers? B. 6m by 3m D. 7m by 4m A. Mean C. Mode 20 B. Median D. Range P 63. A regular solid where length, width and height are equal is called _________. 79. The following table summarizes the scores of a class on the H A. Circle C. Cube recent test in Filipino. B. Sphere D. Cone SCORE FREQUENCY 16-23 2 M 64. A cube has a volume of 64 cubic meters. What are its 24-31 4 dimension? 32-39 6 A A. 4 cubic meters x 4 cubic meters x 4 cubic meters 40-47 12 M B. 16 cubic meters x 2 cubic meters x 2 cubic meters 48-55 10 C. 16 cubic meters x 2 cubic meters x 2 cubic meters 56-63 8 D. 8 cubic meters x 8 cubic meters x 1 cubic meters 64-71 6 T 72-79 4 A 65. Mark’s aquarium has length, width and height of 10cm, 8cm LE and 6cm, respectively. The volume of the aquarium is The median score interval is ______. ________. A. 56 – 63 C. 48 – 55 A. 240 cu cm C. 144 cu cm B. 64 – 69 D. 40 – 47 B. 420 cu cm D. 480 cu cm P 80. What is the range in this set of data 1, -2, 5, 3,-6, 4, and -4? 66. 4 scores and 5 years ago means A. 3 C. 10 A. 45 years C. 75 years B. 4 D. 11 B. 65 years D. 85 years 81. To express that there is no significant difference between 67. Which is the length of the hypotenuse of a right triangle with the food values of the nutrition students and those of the legs 5 inches and 12 inches? nursing students? A. 13 in C. 18 in A. 𝐻𝑜 : 𝑥1 ≠ 𝑥2 C. 𝐻𝑜 : 𝑥1 = 𝑥2 B. 17 in D. 21 in B. 𝐻𝑎 : 𝑥1 = 𝑥2 D. 𝐻𝑎 : 𝑥1 ≠ 𝑥2 68. What is the length of the hypotenuse of a right triangle with 82. The school canteen offers 4 different viands, 1 plain rice, legs 6 meters and 8 meters? and 2 types of desert, and 3 types of drinks. If a student A. 7 meters C. 9 meters wishes to eat, in how many ways can he/she choose? B. 10 meters D. 12 meters A. 24 C.10 B. 12 D. 4 69. Two buses leave the same station at 8:00 pm. One bus travels north at the rate of 30 kph and the other travels east 83. In how ways can 5 girls be seated in a row of 5 seats? at 40 kph. How many kilometers apart are the buses at 10 A. 25 C. 120 pm? B. 250 D. 550 A. 140 km C. 70 km B. 100 km D. 50 km LET M2025 Mathematics CONTROLLED COPY: 2024 Rev: 00 84. In how many ways can 7 people seated around a circular 99. Which graph is useful in displaying data or information that table? changes continuously over time? A. 14 C. 720 A. Circle Graph C. Pie Graph B. 49 D. 5040 B. Line Graph D. Pictograph 85. In a room of eight people, how many handshakes will be 100. Who is the Father of Problem Solving? made if every person shakes hand with everyone else A. Aristotle C. Blaise Pascal exactly once? B. George Polya D. Johann Gauss A. 12 C. 28 B. 16 D. 32 86. If a die is rolled, what is the probability of getting a number divisible by 2? A. 1/2 C. 1/4 B. 1/3 D. 1/6 “Therefore I tell you, 87. What is the probability of getting a jack in a standard deck of cards? everything you pray and ask for A. 1/4 C. 4/13 – believe that you have received DR. CARL RE.CBALITA REVIEW CENTER B. 1/13 D. 17/52 it and it will be yours.” A 88. A ball is drawn at random from a box containing 6 red balls, 4 white balls and 5 blue. What is the probability of getting a red ball? -- Mark 11:24-- A. 4/15 C. 2/5 B. 1/3 D. 2/3 G 89. What is 25% of 572? A. 112 C. 137 B. 129 D. 143 90. Sir Vince’s class consists of 20 boys and 15 girls in his Math N class. What percent of the students are girls? A. 28% C. 44% B. 43% D. 50% 91. If 500 or 25% of a graduating class are boys, how many are graduating? A A. 2,000 C. 10, 000 5 B. 5,000 D. 20, 000 2 20 92. Mark answered 70% of the 60 items correctly in a Science exam. How many items did he answer incorrectly? P A. 42 C. 25 B. 30 D. 18 H 93. Guzman Company manufactures beds. In its catalog, a double bed is priced at P5,000 less a discount of 20%. M What will Rozan Department Store will pay for the bed? A. Php 4, 150.00 C. Php 4, 000.00 A B. Php 4, 200.00 D. Php 4, 100.00 M 94. A pair of shoes originally priced at P600 is being sold at a discount of 30%. How much will you pay for the shoes? T A. P180 C.P300 A LE B. P420 ` D. P450 95. Employees will receive a 10% increase in their salary next month. If an employee receives a monthly of Php 14,000.00, how much will he receive next month? P A. Php 15,400.00 C. Php 22,400.00 B. Php 18,200.00 D. Php 24,200.00 96. What is the amount due at the end of 2 years if P10, 000.00 is invested at 8% annual simple interest? A. P10, 600 C. P12, 500 B. P11, 600 D. P13, 500 97. Interest at 8 % after 3 months on P 6,000.00. A. 120 C. 50 B. 150 D. 250 98. John paid Php 1800 for a motorcycle and a monthly installment of Php800 for 3 years. Calculate the total amount paid by John. A. Php30,600 C. Php28,800 B. Php25,800 D. Php24,800 LET M2025 Mathematics CONTROLLED COPY: 2024 Rev: 00