SPLBE 2016 MASTER PLUMBERMATH QUIZ 6 July 15, 2016 1. Find the single trade discount equivalent to discounts of 20% and 10% a. 30% b. 28% c. 25% d. 22% 2. If a certain fund earns an interest of 12% compounded quarterly, what is the effective rate of interest? a. 12% b. 3% c. 12.55% d. 12.68% 3. The value or worth of a property as shown on the accounting records of a company a. Market Value b. Book Value c. Salvage Value d. Fair Value 4. Find the single trade discount equivalent to discounts of 30%, 10% and 5% a. 40.15% b. 37.5% c. 25% d. 22.5% 5. If Php 100,000 is loaned for 10 years at a simple interest rate of 15% per annum, determine the total amount due at the end of 10 years. a. Php 350,000 b. Php 200,000 c. Php 250,000 d. Php 300,000 6. Convert 2.5 m³ to US gallon a. 549.92 b. 660.43 c. 259.75 d. 275.95 7. Find the net price of a centrifugal pump listed at Php 25000 with discounts of 20%, 10% and 5% a. Php 18750 b. Php 17500 c. Php 17100 d. Php 16250 8. If Php 100,000 is loaned for 10 years at an interest rate of 15% compounded annually, the equivalent worth at the end of 10 years is, a. Php 405,800 b. Php 404,555 c. Php 408,600 d. Php 402,265 9. 3200 mils is equivalent to a. 45° b. 90° c. 180° d. 270° 10. If you invest Php 10,000 today in savings account at an interest rate of 8% compounded annually, how much principal and interest would you accumulate in 5 years? a. Php14,905 b. Php14,693 c. 14,500 d. 14,724 MP SPLBE 2016 COMPILED BY: O.T. AÑO 11. Determine the "exact simple interest" on 50,000 pesos for the period from Jan. 15 to Nov. 28, 1992, if the rate of interest is 22. a. 9,583.56 pesos b. 9,553.42 pesos c. 9,523.29 pesos d. 9,686.11 pesos 12. What is the Roman Numeral for 1966 a. MCMLVI b. MCMLXXVI c. MCMLXVI d. MCMXLVI 13. Find the water power in KW of a centrifugal pump when delivering 2000 GPM of water at a total head of 10 meters a. 12.36 b. 8.25 c. 15 d. 10 14. A square sheet has sides of 30 cm each. The largest circle is cut from it. What is the area of the remaining portion of the square sheet? a. 193 cm² b. 84 cm² c. 252 cm² d. 126 cm² 15. What is the equivalent of Roman Numeral for 2022 a. MCMLXXII b. MLMXXII c. MCMXXII d. MMXXII 16. Find the total surface of a cube whose side is 6 cm a. 226 cm² b. 226 cm² c. 216 cm² d. 256 cm² 17. If a horse is tied to a stake by a tether 14 meters long, over how many square meters may the horse graze? a. 1232 m² b. 154 m² c. 616 m² d. 462 m² 18. It is the weight per unit volume of the material. a. Specific Weight c. Force per Unit Volume b. Specific Gravity d. Density 19. What minimum size of circular bar is required to make a hexagonal nut of 16mm sides along the circumference? a. 32mm b. 36mm c. 24mm d. 10mm 20. The radius of a circle is 15 cm. Find the length of an arc of this circle which subtends a central angle of 60° ? a. 18.2 cm² b. 15.7 cm² c. 12.8 cm² d. 14.5 cm² 21. Express decimally: Seven hundred twenty-five hundred thousandths a. 0.000725 b. 0.00725 c. 0.0725 d. 0.725 MP SPLBE 2016 COMPILED BY: O.T. AÑO 8 28. determine the rate of Erwin. If Erwin’s rate exceeded that of Edgar by 13 kph. 20 c. Its two bases have a ratio of 4:5. mil b. grad 23. Cuboid d. degree c. 28. Spheroid MP SPLBE 2016 COMPILED BY: O. log X – log Y b. took 2hours to travel 1000 km and 2. 7 d. 6 c. AÑO . 2. Geoid b. 11 24.22. Another term for parallelogram a.831 3 25. 37.5 hours in flying back. Find the unknown number a. 8 𝑋 26. 3. log X + log Y c. How many cubic meters is 100 cubic ft of liquid a. What was the wind velocity in kph a.31 c. 70 d. 39 kph b. 6 c. 52 kph 30. If eight is added to the product of nine and the numerical number. An airplane flying with the wind. Rhomboid c. 2 b. 16. 5 b.785 b. What are the lengths of the bases? a. 1 𝑙𝑜𝑔𝑌 27. 12. 10 d. 7. 44 kph c. 8. An angular unit equivalent to 1/400 of the circumference of a circle is called a. 50 b. log = 𝑌 𝑙𝑜𝑔𝑋 a. 48kph d. d. 15 b. On a certain trip. 60 c. the sum is seventy- one. 40 29. A trapezoid has an area of 36 m² and an altitude of 2m. radian d.85 d.T. Edgar drive 231 km in exactly the same time as Erwin drive 308 km. 4 d. a. √8² is equal to a. I was your age now when you were born”. 2√6 b. Complex b. 1 b.24 d. What is the difference between √150? and √54? a. 24 c. AÑO . 2. Numbers that states the position of individual objects in a sequence. prismatoid 37. A notational symbol or combination of symbols that represents a number. 5 40. Numerals d. 3. a. To hire any person to do whatever work he is skilled in doing: a. Volume of Circle c. a. If the father is now 38 years old. 36 36.06 b. John was four times as old as Jaime. salary cost d. Portion of regular solid left after cutting off the upper part by a plane parallel to the base. Significant Figures 42. promotion cost b. a. 20 b. material cost c.T. Analytic Geometry b. 2 d. Descriptive Geometry 33. truncated solid d. Integers b. subrogation c. It is the study of geometrical relations by algebraic methods using the coordinate system. 4 39. frustum b. Imaginary d.88 c. What is the value of “a” in the statement 3ab = 15 if b = 5? a. The sum of their ages is? a. a. resultant MP SPLBE 2016 COMPILED BY: O.7854d² x Height a. 15 b.31. It is a sharp sudden increase in money or credit or both without corresponding increase in business transactions. Composite c. 17 c. a. ______ = 0. 21 41. 0 c. ungula c. Volume of Cylinder 34. Three years ago. how old was his son 2 years ago? a. 28 d. 3√6 35. Plane Geometry d. Area of Circle d. inflation d. Calculus c. Real c. 2. A father tells his son. Eight percent of 36 is 72% of what number? a. labor cost 38. Circumference of Circle b. 16√6 d. deflation b. 6√2 c. Ordinal 32. 19 d. John is 3 times as old as Jaime. 9 47. Php12. 6 x 4 + 3 c. Coefficient c. 34. A number on its own is called a ________. How many 2” pipes does it take to equal the volume capacity of a 6” pipe? a. 3 is 6% of a certain number.782J d. 30. It is a single term that is a real number. 0. Php1. Php8. 36 c. 15 c. 0. Constant d. 7 d. Expression b. Which of the following equation has at LEAST value? a. A prize of Php20. √𝑥𝑦 𝑥𝑦 2 𝑥+𝑦 46. 000 d.16 or 8/50 d. 2 + 6 x 4 54. 32 b. 28 d. 2 b. if three of the four numbers are 18. 24 b. d. 7. what is the fourth numbers? a. what is the degree of its angle? a. 35 d.35J b. 000 49. What is the number? a. 000 is to be shared by two winners of a contest in the ratio of 6 to 4. What is the sum of √12 + √27? a. 130 d.16 or 4/25 c. 0. how long will they finish the job working together? 𝑥+𝑦 𝑥+𝑦 𝑥𝑦 a. a. 347. 90 b. 8. If the short hand of the clock is at 4. √29 b. AÑO . 34 44. 38 c. A fork lift moves 34m carrying a 1023N box across the warehouse floor. If A can do the work in “x” days and B in “y” days. 10. 11 d. c. 3√5 d. 20 and 36.016 or 11/50 48. 120 c.033J c. 7√3 MP SPLBE 2016 COMPILED BY: O. 6 + 3 x 3 b. 6 + 4 x 3 d. 0. 12 51. 200 c. The average of four numbers is 28. 5√3 c. 6. Write 16% as a decimal number and a fraction (reduce to lowest terms) a.016 or 1/5 b. How long will it take each of them to finish the work alone? a. 150 50. 5 c. b.43.82J 53.T. Php800 b. John working alone can finish it in 5 days less than Peter. the larger is worth a. 50 45. 13 b. Variable 52. How much WORK is done by the fork lift? a. 0. John and Peter working together can finish painting a house in 6 days. If a two digit number has x for its unit’s digit and y for its ten’s digit.000. xy 66. A goldsmith has two alloys of gold. -5. What is -2 + (-3. 627 c. 42 b. 4 kg b. Her daughter Hanna joy is 29 years old. 2/5 b. Equation 62. 7 kg 56. a. Notation c. 62 d. yx d. 7:00pm c. 6 kg d.1) + (-. 0. What time will be reach his destination which is 600kms away? a. a. 626 b. He rested for half an hour. 10x + y b. In how many years will Hanna joy be exactly half his mother’s age? a. Term d. 1/6 65. -. It is either a single number or a variable. 1x108 MP SPLBE 2016 COMPILED BY: O. Mr. or a product or quotient of numbers and variables.512 d. 5 kg c. 3 x 4 + 9/3 – 8/4 = _____ a. represent the number. 8:00pm d. Solve this equation: √16 + (9 + 16)² a. 9 64. 629 59. 7/30 c. 12 63. 1x107 c. 1x105 b. 17/30 d. 38 61. 22 c. Elvie is 67 years old. 8 d. 7 c.02)? a. the first being 70% pure and the second being 60% pure. Convert 1. a. 35 c. 6 b.55. 8:30pm 58. How many ounces of the 60% pure gold must be used to make 100 ounces of an alloy which will be 66% gold? a. 269 d. Expression b. 40 b. Cruz left his house at 7:00am and drove his car at 50kph. 15 d. when it is divided by 3.T. 10y + x c.12 57.512 b. 122 60. 7:30pm b. What part of an hour elapses between 11:50 am and 12:14 pm? a. 14 c. 1x106 d. How much water must be evaporated from 10 kg solution which has 4% salt to make a solution of 10% salt? a. 13 b. 5. AÑO . What is the smallest positive number which. 4 or 5 will leave a reminder of 2? a. 45 d.012 c.000 to scientific notation. 850.433 psi b. 12 71.67. 23 d. What is the pressure in pounds per square inch at the base of a 10 foot water cylinder? a. 8.63 psi 73.54 d. 5 b.000 c. 24 74.668 B. How many minutes after 3:00 will the minute hand of the clock overtakes the hour hand? a. instantaneous velocity 78.54 is multiplied by 10 to the fifth power. 4. 40% d. 16-11/12 mins c. 305. 21 b. 8 76. logb (xy) = logb (x) + logb (y) c.296 D. In one day (24 hours). what would be the value? a. 22 c. log10 (xy) = logb (x) + logb (y) d. Find the numbers.716 70. 30.786 C. 2 is what percent of 5? a. acceleration c. 5. the sum is seventy- one. 23. 7 d. What is the average of A.33 psi c. 6 c. The sum of the two numbers is 21 and one number is twice the other.40 77. log10(xp) = plogb(x) b. 188. 9. 4. If eight is added to the product of nine and the numerical number. Find the unknown number. 31. 354. total work done to total energy b.245.848. How many 6-number combinations can be generated from the numbers from 1 to 42 inclusive.1 psi d. 14/11 mins MP SPLBE 2016 COMPILED BY: O. ABC/A+B+C 68. a. B. 3(A+B+C) d. (A+B+C)/3 c. 35% 69. Which formula in logarithm for product is correct? a.T.400 b. 14/12 mins b. 6. a. ABC/3 b. 14 c. log2 (xy) = log10(x) + logb(y) 72. a. 3. AÑO . how many times will the hour hand and minute hand of a continuously driven clock be together a. C? a.474. The rate at which velocity changes with time is known as ________. without repetition and with no regards to the order of the numbers? A. 15 b. instantaneous speed d. power input to power output d. 25% b. 16-4/11 mins d. 0. 13 d. 7. Efficiency of a machine is the ratio of: a. power output to power input c. 35. 38% c. total energy to total power 75. average speed b. The intersection of the interior angle bisectors of a triangle is called : a. 360 b. a second jogger starts the same course at 10 kph. – b ± (√b² – 4ac) b. Its solution is? a. 47 c. AÑO . 60 89. 36 b. What is the original number? a. golden ratio d. If the number is divided by the sum of the digits. 18 min MP SPLBE 2016 COMPILED BY: O.T. such division is known as a. 20 min b. Centroid 84. all of the above 85. right side to left side and left side to right side. 100 d. 10 c. 125 81. ax² + bx – c = 0 is the standard form of a quadratic equation. the quotient is 4 and the remainder is 3. 5). 45 88. The product of 1/4 and 1/5 of a number is 500. ± b . 22 min d. 75 c. The perpendicular bisectors of the sides of a triangle intersect at a point which is known as : a. Centroid b. – b ± (√b² – 4ab) 82. Orthocenter 83. –3) and B (–2. A line segment that is divided into two segments. 50 b. scalene b.8 80.79. golden proportion b.(√b² – 4ab) d. Five minutes later. Orthocenter d. a straight angle c. right 87. Incenter d. 180 b. 90 c. 180 c. isosceles d. How long will it take the second jogger to catch the first? a. Circumcenter c. 11 b. Each angle of an equilateral triangle equals? a. 90 d. Find the distance between A (4. How many degrees are in a perigon? a. 30 d. Circumcenter c. obtuse c. The ten’s digit of a number is 3 less than the unit’s digit. If two angles have their sides parallel. A triangle having no two sides equal. supplementary d. golden segment c. A jogger starts a course at a steady rate of 8 kph. a. 9 d. the angles are. 21 min c. acute b. perpendicular 90. 69 86. What is the number? a. a. a greater a and a smaller b such that the length of a + b is to a and a is to b. a. 58 d. (– b ± √b² – 4ac) c. Incenter b. d. How fast does the minute hand of the clock travels? a. The arithmetic mean of a and b is. The smallest interior angle of a isosceles is half as much as one of other angles. 0. 9. 84. Angle c.35 years b.In how many years will a sum of money triple itself at 12% interest? a. 16/81 c. 8degrees/min c. √ab b. a. a. 6degrees/min d. 4degrees/min 95. 0.m. Round off 0. Pedro can paint a fence 50% faster than Juan and 20% faster than Pilar and together they can paint a given fence in 4 hours. 230 C. find its perimeter? a. 0. The space between two lines meeting at a point called the vertex. (a – b)/2 92. 78.. Curve 94.005076 to three significant figures. a.2 years d. 0. 120 were found to prefer brand x only. Assume that the first ball is returned before the second ball is drawn.00508 b. 180 D.42 c. two balls are drawn one at a time. ab/2 d.2 years 98. 8/9 b. e d. How long will it take Peter to paint the same fence if he had to work alone? a. 370 prefer either brand x or y but not z. satisfied with any of the three brands? A. Parallel b.005 c. 280 MP SPLBE 2016 COMPILED BY: O. How many persons have no brand preference. 450 prefer brand y or z but not x and 370 prefer either brand z or x but not y.T. b.00507 d. Which of the following number is not irrational numbers? a. 8. 10 hrs. 11hrs. 7/9 d. 9.333 b. From a bag containing 4 black balls and 5 white balls. 96. 15hrs. 150 prefer brand z only. Distance d.72 93.51 x 10-2 100. 87.24 d. 13hrs.91. AÑO . 74.6 years c. Find the probability that both balls are black. 0. 130 B. If the area of the triangle is 240 sq. 9degrees/min b. 16/9 99. π 97.82 b. √2 c. 10. c. (a + b)/2 c. In a commercial survey involving 1000 persons on brand preference.. 200 prefer brand y only. a. 1) = 63 . SPLBE 2016 MASTER PLUMBER MATH QUIZ 6 July 15.15% .5% c.05) = 59. Php 200. 37.(20.Ans. Find the single trade discount equivalent to discounts of 30%. a. AÑO .000 .Ans. 12% b. The single trade discount equivalent to discounts of 20% and 10% is. 3% c.T.000x0. Fair Value .55% d. 10% and 5% a. 22.000 . F = 250. determine the total amount due at the end of 10 years.5 m3 to US gallon a. 25% d. 660.(80x0.4015 or 40. n=10 years F = 100. 25% d. The value or worth of a property as shown on the accounting records of a company a. 40.000 F = P [1 + i(n)] . 12. 22% Assume 100 as cost of the product. The single trade discount equivalent to discounts of 30%. 12.(100x0.000 d.12/4)4 – 1] = 0. 10% and 5% Net = 25. Book Value c. Find the net price of a centrifugal pump listed at Php 25000 with discounts of 20%. Php 350.1) = 72 (discounted amt) 100-72= 28 (total amt of discount). Php 18750 b.3) = 70 .Salvage value is the value of the property at the end of its economic life 4. Find the single trade discount equivalent to discounts of 20% and 10% a.000 .000. 2015 1. 30% b. ERI= 12.15/100 = 0.1255 … Ans.85 (discounted amt) 100-59. Convert 2. 20.000 . Php 250.68% ERI = [(1 + i/m)m – 1] . 40.000 b.Book Value is the worth of the property which is equal to the original cost less the amount which has been charged to depreciation .75 d. Salvage Value d.000 [1 + 0.000x0. Php 17500 c.15(10)] Ans.28 or 28% .85 = 40. 549.. 5.1) = 18.2) = 20.55% 3. Php 300. i=12% compounded quarterly.5% Assume 100 as cost of the product. 2. MP SPLBE 2016 COMPILED BY: O.000 .000 . 259.(25.(70x0. Php 16250 Cost = 25.000 is loaned for 10 years at a simple interest rate of 15% per annum. i=15% simple interest. 28/100 = 0. 10% and 5% is. 275.000 6. Market Value b.95 7.15% b. 100 .05) = 17. 28% c. 100 .000x0. If a certain fund earns an interest of 12% compounded quarterly. what is the effective rate of interest? a. If Php 100. ERI = [(1 + 0. P=100. 10% and 5% a.000 c. Php 17100 d.2) = 80 .(63x0. Discount = 20%.92 b.(18.43 c. 18.15 (total amt of discount).(100x0.100 Ans.. X = 180 360 6400 𝑚𝑖𝑙𝑠 10.686.000 (1 + 0.905 b. 12.T. 270° 𝑋 3200 𝑚𝑖𝑙𝑠 = . n=10 years F = 100. F = 404. how much principal and interest would you accumulate in 5 years? a. Php14. 15 d. 9. A square sheet has sides of 30 cm each. If you invest Php 10.000.35 KW 14.29 pesos d. MCMLXXVI c.28 11.000.800 b. a.553.746 KW/ Hp or WHp = 12. 14.000 is loaned for 10 years at an interest rate of 15% compounded annually. Php 408. 1992. Find the water power in KW of a centrifugal pump when delivering 2000 GPM of water at a total head of 10 meters (Fluid Mechanics – Pumps) a.27 9. the equivalent worth at the end of 10 years is. The largest circle is cut from it.000 (1 + 0. 14.693 c. 10 WHp = (Q x TDH x Sp Gr. MCMLVI b. 84 cm² c. i=15% compounded annually.693.553.583. Ap = As – Ac Since the sides of a square sheet is 30. Ap = 193. Php 405.42 pesos c. I = ? .600 d. P=100.858 . 126 cm² Let Ap = Area of Portion Remaining . 9.555. 9. 90° c.25 c.42 Ans 12. the largest circle that can be cut from it has a diameter of 30 Ap = (30 x 30) – (π (30)²/4) .28) x 1) / 3960 WHp = 16.15/1)5(1) Ans.000 (0. 28. i=8% compounded annually.523. Php 402.555 c. 252 cm² d.56 pesos b. 15 to Nov. MCMLXVI d.000 pesos for the period from Jan. Ac = Area of Circle . 8. Determine the "exact simple interest" on 50. Php 404. 193 cm² b. As = Area of Sheet . if the rate of interest is 22.724 F = P (1 + i/m)n(m) .36 b. AÑO . P=10. i = 22% .22) (317/365) I = 9. n=5 years F = 10.14cm² MP SPLBE 2016 COMPILED BY: O.08/1)5(1) Ans. 9. MCMXLVI M + CM + L + X + V + I 1000 + 900 + 50 + 10 + 5 + 1 = 1966 13.8.56hp x 0. F = 14.000.500 d.11 pesos P = 50.Area) a. Php14. 180° d.265 F = P (1 + i/m)n(m) . 45° b. What is the Roman Numeral for 1966? a.)/ 3960 WHp = (2000 x (10*3.000 today in savings account at an interest rate of 8% compounded annually. If Php 100. 3200 mils is equivalent to a. the period Jan 15 to Nov 28 has 317 days I = 50. a. What is the area of the remaining portion of the square sheet? (Geometry . Ap = 900 – 706. Specific Weight c. Angle of Sector.000725 b. 14. Cube has 6 sides . Connecting these points will show the sides of the hexagon (16mm in length).000 = 0. 0. 616 m² d. Ans. With radius is given. What is the equivalent of Roman Numeral for 2022 a. Express decimally: Seven hundred twenty-five hundred thousandths a.2 cm² b. MCMLXXII b. radian d. MCMXXII d. S = 15.is the ratio of the density of a substance to the density of a reference substance. Specific Gravity d. Density Specific Weight . 19. R=15cm . If a horse is tied to a stake by a tether 14 meters long.of a substance is its mass per unit volume.5 cm² Radius. 226 cm² c. Ans. Find the total surface of a cube whose side is 6 cm a. 0. Ans D = 2 (16) = 32mm 20.00725 c. which is also 16mm since equilateral triangle has equal sides.15. Density . 216 cm² d. S = 2π(15) x 60/360 . degree c. 0.8 cm² d. 15.(also known as the unit weight) is the weight per unit volume of a material. 256 cm² As = 6 x 6 = 36cm² . D = 2R .0725 d. Drawing a line from the center of the circle to the 6 points of a hexagon will create 6 equilateral triangles with one of the sides is the same length as the hexagon (16mm). (Physics – Elements) a. 462 m² Graze Area is circular. An angular unit equivalent to 1/400 of the circumference of a circle is called a.725 725/100. φ = 60 Solve for Length of Arc. 18. The radius of a circle is 15 cm. 36mm c. 1232 m² b. MMXXII MM + XX + II 2000 + 20 + 2 = 2022 16. mil b. AÑO . One of the side of the equilateral triangle becomes the radius of the circle. Force per Unit Volume b. Specific gravity . grad MP SPLBE 2016 COMPILED BY: O. 226 cm² b. 12.75 m² 18. It is the weight per unit volume of the material. MLMXXII c. Ag = 615. the diameter. Cube total surface Ac = 36cm² x 6 .7cm 21. What minimum size of circular bar is required to make a hexagonal nut of 16mm sides along the circumference? a. Ans. 154 m² c. Find the length of an arc of this circle which substends a central angle of 60° ? a. over how many square meters may the horse graze? a. 32mm b. 0. Ac = 216cm² 17. S = 2πR x φ/360 .T. Ag = π (14)² . 10mm Drawing hexagon inscribed in a circle will have 6 points on the circumference of a circle.7 cm² c. 24mm d.00725 22. 7 d.5 = 400 kph or V2 = V1 – 400 …eq. Find the unknown number a. 15 b. 4 d. 20 c. What was the wind velocity in kph a. 37. 6 c. 1 (flying with the wind) V1 – V2 = 1000/ 2.831 V = 100ft³ x (m/3. V1 = 450 kph V2 = V1 – 400 . √8² is equal to a. 12. 40 Velocity = distance / time V1 – velocity of airplane . How many cubic meters is 100 cubic ft of liquid a. 60 c. 8 9X + 8 = 71 . An airplane flying with the wind. V2 – velocity of wind V1 + V2 = 1000/ 2 = 500 kph or V1 + V2 = 500 …eq. 4 9 36 = ½ ( b + b) 2 . 1 𝑙𝑜𝑔𝑌 27. the sum is seventy- one. 16. 3. If eight is added to the product of nine and the numerical number. X = 7 28. 5 b. a= b 𝑏 5 5 A = ½ (a+b) h . 36 = b .281ft)³ = 2. 6 c.31 c.23. 2 b. 11 A = ½ (a+b) h 𝑎 4 4 = . V1 + V2 = 500 . took 2hours to travel 1000 km and 2. 28. 8 3 √8² =( 3√8)² = (2)² =4 𝑋 26.831 m³ 3 25. 8. 70 d. log X – log Y b. 2. d. b = 20 5 5 4 4(20) a= b = = 16 5 5 24. What are the lengths of the bases? a. A trapezoid has an area of 36 m² and an altitude of 2m. 10 d.T.5 hours in flying back. 1 . V2 = 450 – 400 = 50kph MP SPLBE 2016 COMPILED BY: O. 7. log X + log Y c. log = 𝑌 𝑙𝑜𝑔𝑋 a. V1 + (V1 – 400) = 500 . AÑO .85 d.785 b. Its two bases have a ratio of 4:5. 2V1 = 500+ 400 . 2 (flying back against the wind) Equate eq 2 to eq. 50 b. 44 kph c. V = 52 kph 30. 4 0. 2. 0 c. Three years ago. 36 36.T. 28 d. ______ = 0. 3. 16√6 d.7854d² x Height a. The sum of their ages is? a. frustum b. Integers b. 2 d. 39 kph b. 2. Another term for parallelogram a.29. John is 3 times as old as Jaime. To hire any person to do whatever work he is skilled in doing: a. labor cost 38.72(x) 39. 48kph d. Calculus c.24 d.06 b. Imaginary d. V-13 = rate of Edgar where V = D/t and t1 = t2 231 308 = 𝑉−13 𝑉 231V = 308V – 4004 . a. Cuboid d. 52 kph V = rate of Erwin . Geoid b. 6√2 c. Portion of regular solid left after cutting off the upper part by a plane parallel to the base. John was four times as old as Jaime. 5 MP SPLBE 2016 COMPILED BY: O. salary cost d. Volume of Circle c. If Erwin’s rate exceeded that of Edgar by 13kph. a.88 c. Volume of Cylinder 34. 3√6 35. 1 b. a. Plane Geometry d. On a certain trip. prismatoid 37. Edgar drive 231 km in exactly the same time as Erwin drive 308 km. Area of Circle d. Eight percent of 36 is 72% of what number? a. Real c. Circumference of Circle b. Numbers that states the position of individual objects in a sequence. 20 b. Ordinal 32. ungula c. It is the study of geometrical relations by algebraic methods using the coordinate system. 24 c. material cost c. 2√6 b. What is the value of “a” in the statement 3ab = 15 if b = 5? a. AÑO . promotion cost b. Rhomboid c.08(36)=. Descriptive Geometry 33. What is the difference between √150 and √54 a. truncated solid d. Spheroid 31. determine the rate of Erwin. Analytic Geometry b. a. how old was his son 2 years ago? a. 000 is to be shared by two winners of a contest in the ratio of 6 to 4.T. A prize of Php20. What is the number? a.16 or 8/50 d. The average of four numbers is 28. a. 0. 120 c. 20 and 36. If A can do the work in “x” days and B in “y” days. 34 44. 21 41. Php12. A father tells his son. I was your age now when you were born”. 0. If the father is now 38 years old. Complex b. AÑO . 24 b. 32 b. 000 49. the larger is worth a.016 or 1/5 b. d. If the short hand of the clock is at 4. a. 28 d. Significant Figures 42.016 or 11/50 48. if three of the four numbers are 18. Time = 𝑥 𝑦 𝑇𝑖𝑚𝑒 𝑥𝑦 𝑇 𝑥+𝑦 46. Php8. How many 2” pipes does it take to equal the volume capacity of a 6” pipe? a. Php800 b. √𝑥𝑦 𝑥𝑦 2 𝑥+𝑦 1 1 1 𝑦+𝑥 1 𝑥𝑦 + = . 9 π/4(2)^2(x)=π/4(6)^2(1) 47. how long will they finish the job working together? 𝑥+𝑦 𝑥+𝑦 𝑥𝑦 a.40. 200 c. It is a sharp sudden increase in money or credit or both without corresponding increase in business transactions. 90 b. 38 c. 36 c. subrogation c. 50 Let x= a certain number 3=0. resultant 43. 0. 3 is 6% of a certain number. 000 d. what is the degree of its angle? a. = . 2 b.06(X) x= 50 45. Php1. 19 d. Write 16% as a decimal number and a fraction (reduce to lowest terms) a. 130 d. what is the fourth numbers? a. 5 c. 15 b. A notational symbol or combination of symbols that represents a number. c.16 or 4/25 c. deflation b. Numerals d. inflation d. 150 MP SPLBE 2016 COMPILED BY: O. 7 d. b. 0. 17 c. 35 d. Composite c. What is -2 + (-3. 8. What time will be reach his destination which is 600kms away? a.35J b. 8:30pm 58. 3√5 d. 7:00pm c. 629 59. 13 b. 6 kg d.012 c. -5. 5√3 c. 627 c. A number on its own is called a ________.512 b. 30. √29 b.02)? a. 45 d. It is a single term that is a real number. 7 kg 56. How much water must be evaporated from 10 kg solution which has 4% salt to make a solution of 10% salt? a. Expression b. 40 b. 12 51. 6 + 3 x 3 b. 4 or 5 will leave a reminder of 2? a.782J d. Cruz left his house at 7:00am and drove his car at 50kph.512 d. A goldsmith has two alloys of gold. 2 + 6 x 4 54. 35 c. How much WORK is done by the fork lift? a. 7:30pm b. 347. Mr. 7√3 55. What is the smallest positive number which. 15 c. 8:00pm d. 5 kg c. Coefficient c. How many ounces of the 60% pure gold must be used to make 100 ounces of an alloy which will be 66% gold? a. 0. Constant d.T. Variable 52. 0. 6.1) + (-. -. What is the sum of √12 + √27? a. A fork lift moves 34m carrying a 1023N box across the warehouse floor.50. John and Peter working together can finish painting a house in 6 days. 38 MP SPLBE 2016 COMPILED BY: O. 6 x 4 + 3 c. 626 b. 42 b. 22 c. AÑO . 7. John working alone can finish it in 5 days less than Peter. 10. 269 d.12 57. a. He rested for half an hour. How long will it take each of them to finish the work alone? a.033J c. Which of the following equation has at LEAST value? a. when it is divided by 3. 5. 122 (3x4x5)+2=62 60. Solve this equation: √16 + (9 + 16)² a. 4 kg b. 6 + 4 x 3 d. the first being 70% pure and the second being 60% pure.82J 53. 62 d. 34. 11 d. a. If a two digit number has x for its unit’s digit and y for its ten’s digit. 1x106 d. a. What part of an hour elapses between 11:50 am and 12:14 pm? a. 4. 9 64. 7/30 c.1 psi d. yx d. 9. Find the numbers. 12 71. 35% 69.63 psi P=(GAMMA)(hEIGHT)= (10 Ft)(62. What is the pressure in pounds per square inch at the base of a 10 foot water cylinder? a. 3(A+B+C) d.786 C. without repetition and with no regards to the order of the numbers? A.296 D. Convert 1. logb (xy) = logb (x) + logb (y) c. Elvie is 67 years old. (A+B+C)/3 c. 14 c. log10 (xy) = logb (x) + logb (y) d. ABC/A+B+C 68. C? a. In how many years will Hanna joy be exactly half his mother’s age? a. a. 12 63.848. 6 b. AÑO . What is the average of A. 5. 10x + y b. 40% d. 17/30 d. The sum of the two numbers is 21 and one number is twice the other. 25% b. Which formula in logarithm for product is correct? a. Her daughter Hanna joy is 29 years old. or a product or quotient of numbers and variables. 23.433 psi b. 2 is what percent of 5? a.000 to scientific notation. B. 8.4 Lbs/Ft ^3)/(144 in^2)= 4. 14 c. 10y + x c.33 psi c. It is either a single number or a variable. 15 b. represent the number. 850.33 Psi MP SPLBE 2016 COMPILED BY: O.245. How many 6-number combinations can be generated from the numbers from 1 to 42 inclusive. a. Equation 62. 31. 1/6 10+14=24 24/60= 2/5 65. 13 d. log10(xp) = plogb(x) b. 6.474. 4. 1x108 67. log2 (xy) = log10(x) + logb(y) 72. Term d. Expression b. ABC/3 b. 7.716 70. 15 d. 3 x 4 + 9/3 – 8/4 = _____ a. 7 c. 1x107 c. 188. Notation c.000. xy 66. 38% c.61.668 B.T. 1x105 b. 0. 8 d. 13 b. 2/5 b. 10 c. 11 b. 305. total work done to total energy b. If eight is added to the product of nine and the numerical number. 50 b. What is the number? a. the sum is seventy- one.(√b² – 4ab) d. The rate at which velocity changes with time is known as ________. 8 76.40 77. 16-4/11 mins d.000 c.73. 24 74. AÑO . 100 d. 22 c. average speed b. Efficiency of a machine is the ratio of: a. ± b . 3. a. 14/12 mins b. Its solution is? a.T. 16-11/12 mins c. how many times will the hour hand and minute hand of a continuously driven clock be together a. 125 81. – b ± (√b² – 4ac) b. 75 c. 14/11 mins 79. – b ± (√b² – 4ab) 82. total energy to total power 75. 6 c. instantaneous speed d. The intersection of the interior angle bisectors of a triangle is called : MP SPLBE 2016 COMPILED BY: O. 23 d. what would be the value? a. power output to power input c.400 b. 35. 7 d. 354. 5 b. Find the unknown number. instantaneous velocity 78.8 80. 30. (– b ± √b² – 4ac) c. How many minutes after 3:00 will the minute hand of the clock overtakes the hour hand? a. 21 b. The product of 1/4 and 1/5 of a number is 500.54 is multiplied by 10 to the fifth power. acceleration c. In one day (24 hours). a. a. Find the distance between A (4. 5).54 d. power input to power output d. –3) and B (–2. ax² + bx – c = 0 is the standard form of a quadratic equation. 9 d. A line segment that is divided into two segments. ab/2 d. The perpendicular bisectors of the sides of a triangle intersect at a point which is known as : a. find its perimeter? (Trigonometry) a. perpendicular 90. supplementary d. a. 180 c. such division is known as a. right 87. a second jogger starts the same course at 10 kph. A = ½ x² sin 36 = 240 .a. golden ratio d. Incenter b. 20 min b. 30 d. If two angles have their sides parallel. The arithmetic mean of a and b is … a. a. 36 b.58 = . all of the above 85. 180 b. 360 b. 47 c. Each angle of an equilateral triangle equals? a. golden segment c. 87. 78. Incenter d. 𝑦 28. If the number is divided by the sum of the digits. How many degrees are in a perigon? a. (a + b)/2 c. the angles are. a greater a and a smaller b such that the length of a + b is to a and a is to b. 22 min d. 58 d. 74. Circumcenter c.24 d. Circumcenter c.T. golden proportion b. A jogger starts a course at a steady rate of 8 kph. If the area of the triangle is 240 sq. The smallest interior angle of a isosceles is half as much as one of other angles. 45 88. scalene b. 21 min c. Orthocenter d. Centroid 84. the quotient is 4 and the remainder is 3. Orthocenter 83. How long will it take the second jogger to catch the first? a.. √ab b.82 b. What is the original number? a. Centroid b. AÑO .m. 84.66 sin 36 sin 72 MP SPLBE 2016 COMPILED BY: O. Five minutes later. right side to left side and left side to right side. The ten’s digit of a number is 3 less than the unit’s digit. acute b. A triangle having no two sides equal. (a – b)/2 92. 18 min 91. 60 89. x = 28. isosceles d. smallest interior angle = 72/ 2 = 36 Area. a straight angle c. y = 17.5 = 72 . 90 d. 69 86.58 Using Sine Law. obtuse c.42 c. 90 c.72 Solving for the angles: from given smallest angle is half of one of the other angle 180 = 2 ϴ + ½ ϴ ϴ = 180/ 2. Perimeter = 28. 280 MP SPLBE 2016 COMPILED BY: O. Angle c. 370 prefer either brand x or y but not z. 200 prefer brand y only. How fast does the minute hand of the clock travels? a. a. 0.35 years b. 9.58 + 28.12 n = 9. c. Pedro can paint a fence 50% faster than Juan and 20% faster than Pilar and together they can paint a given fence in 4 hours. 16/81 c.333 is a rational no. (Rounding Off) a. Find the probability that both balls are black.12) n log 3 = n log 1.2 years F = P (1+ i)n .005076 to three significant figures. 0. 450 prefer brand y or z but not x and 370 prefer either brand z or x but not y. 8degrees/min c. Distance d. 9degrees/min b.005 c. 6degrees/min d. 0.333 b. b.00508 b. that cannot be expressed as a ratio of two integers (meaning. Round off 0. 230 C. 8/9 b. 130 B.6 years 98. 9. How many persons have no brand preference. 0. 0.58 + 17. 10. In a commercial survey involving 1000 persons on brand preference. Curve 94. equivalent to 1/3 97. From a bag containing 4 black balls and 5 white balls. π Irrational numbers are nos. How long will it take Peter to paint the same fence if he had to work alone? a. Which of the following number is not irrational numbers? (System of Numbers) a. AÑO . The space between two lines meeting at a point called the vertex. 8. satisfied with any of the three brands? A.00507 d. (Probability) a.2 years d. 150 prefer brand z only.6 years c. d.82 93.66 . e d. 3P = P(1. Parallel b. 10 hrs. Assume that the first ball is returned before the second ball is drawn. 11hrs. it cannot be expressed into a fraction). 4degrees/min 95. two balls are drawn one at a time.T. 13hrs. P = 74. 16/9 Two independent events (as the first ball was return) Given: 4 black balls + 9 white balls = 9 Probability that first ball is black = 4/9 The probability that the second ball is black is also 4/9 (as the first ball was returned) 4/9 x 4/9 = 16/81 99. 0. In how many years will a sum of money triple itself at 12% interest? (EcoN – Compound Interest) a.12 n = log 3/ log 1. F = 3P . 120 were found to prefer brand x only.51 x 10-2 100. 7/9 d. √2 c. 180 D. 96. 15hrs. A 61. A 43. A 44. A 51. A 22.T. C 27. C 77. B 24. A 78. C 86. A 39. C 100. B 92. B 11. B 45. C 41. C 34. D 58. C 15. A 72. B 75. B 23. C 57. B 55. D 40. C 84. B 17. A 89. C 8. A 82. B 95. A 67. C 32. A 25. C 80. A 38. B 94. C 42. D 69. C 50. B 68. D 54. B 33. B 97. B 10. D 47. AÑO . A 64. B 26. A 96. D 56. C 76. D 71. C 4. D 60. D 88. B 90. D 83. B 46. C 70. C 93. A 12. D 81. B 65. B 2. B 5. B 19. D 14. A 53. B 35. C 20. A 99. B 79. D 49. B 98. D MP SPLBE 2016 COMPILED BY: O. B 74. A 18. ANSWER KEY ANSWER KEY 1. A 59. A 87. C 66. C 7. B 36. A 16. C 6. A 85. D 63. B 31. C 30. A 3. D 62. C 52. C 91. A 21. A 13. A 29. B 9. C 73. B 28. B 48. C 37. A 17. C Fraction Problem 7. A Pressure Pumps 14. B Progression . D Rounding Off Significant Figures 15. C 18. C 16. B 27.Volumes Geometry – Inscribe/ Circu 9.Arithmetic Progression . A 28.Law of Tangents Trigo . D Econ – Annuity Flow Rate 6. D 29.Quadrant Trigo – Soh Cah Toa Trigo – Angle of Elevation Trigo – Angle of Depression Venn Diagram Worded Problem – Number Worded Problem – Digit Worded Problem – Mixture Worded Problem – Clock Worded Problem . C Progression . A 24. D Econ – Simple Interest Econ – Compound Interest 5. D Geometry – Elements Geometry . SPLBE 2016 MASTER PLUMBER MATH QUIZ 5 ANSWER KEY June 24.Law of Sines Trigo .Harmonic Properties of Multiplication 13. A 30. B 20.Law of Cosines Trigo . A Percentage Permutation 10. ANSWER KEY Algebra – Elements Algebra – Equation 1.Geometric 12. C Algebra – Logarithm Algebra – Quadratic 2.Age Worded Problem – Work Worded Problem – Motion MP SPLBE 2016 COMPILED BY: O. 2015 SUBJECT TOPIC QTY ITEM NOS. D 22. A 19. C 25. B Geometry . B System of Number – Elements Trigo – Angle Trigo – Elements Trigo – Heron's Trigo – Pythagorean Trigo . C 26. C Calendar Combination 3. C Physics – Elements Probability 11. C 23. AÑO .T. C 21.Areas 8. B Conversion Econ – Elements 4. MP SPLBE 2016 COMPILED BY: O. AÑO .T.