upcat reviewer Engineering Student Council 2006-2007 Engineering Student CouncilACKNOWLEDGEMENTS The ACADEMICS COMMITTEE of the Engineering Student Council 2006-2007 wouid like to extend its deepest gratitude to: * the Engineering Student Council 2005-2006 academics committee headed by Ms. Cherrie May Avena © Julius Calubayan o Leo Dacon © Johanna Joyce Demetria ' © Geomar Lubaton o Melissa Manuel Lauren © Joane Rose Nario © Lady Marianne Polinga * and the rest of the incumbent Engineering Student council officers. for taking an active part and for the unceasing tireless support in the making of this College Entrance Exam Reviewer. We share the success of this reviewer with you. Godspeed. NESTEE - EXY - PAUL - HAROLD — LEW — MICX - NEIL - SOL - TANYAW HAT TO DO BEFORE THE EXAMS... 1. Know the coverage of the entrance exams in each of the schools where you are applying for admission. ‘the usual coverage is English-Math-Science. ‘Somme schools require non-verbal tests: 2. Go over your textbooks and class notes, and attend a good review class. A review class will give you a comprehensive summary of your major high school ith the different types of test questions and teach you the corresponding techniques and strategies for enswering them. Thus you will feel more confident and less nervous during the actual exams. You won't waste precious time analyzing and understanding subjects. Tt will also familiarize you instructions. Remember, most entrance exams are under time pressure. 3. Your admission to college depends on both your high school grades (usually 40%) and your score in the entrance exams (usually 60%). You can greatly improve your chances for admission by performing well in the exams. 4. When you get your Test Permit, check if it was properly accomplished. Does it have the necessary signatures? Do you resemble your photo? Prepare your school ID - you may need it for verification of your identity. 5. Know the exact location of your Testing Center. Visit it several days before your exams so that you won't waste time looking for it right on the day of reckoning. Check out your assigned room. Is it air-conditioned? Then bring a jacket because it's hard to take an exam when you're shivering. Ts there a CR nearby? Familiarize yourself with the location so that you will not waste time looking for it at the time of need. © Prepare your pencils and erasers ahead of time. Is your pencil the prescribed brand and number? Does the eraser erase easily or does it leave smudges? 7. You will not be allowed to go out and eat during the exams. Engineering Student Council Academics Committee 2006-2007 TIPS.ESC. Engineering Student Council Academics Committe 2006-2007 8. Prepare yourself psychologically by being positive and optimistic. Do not allow any emotional interference before your exams. Ex., this is not the time to be quarrelling with your best friend or mother or MU! 9. Keep reviewing your textbooks, class notes, review materials and simulated tests several days before your exams. 10. Sleep well on the eve of your exams. Lack of sleep greatly impairs memory and concentration: AY AV/ HAT TO DO ON THE DAY OF YOUR EXAMS... 1. Eat a moderate meal before leaving the house. Don't eat too little - your stomach will be grumbling. Don't eat too much - your blood will rush to your digestive system, thus depriving your brain. Drink moderately so that you won't keep going to the CR. 2. Don't forget to bring your Test Permit, pencils, eraser, sharpener, and a reliable watch: The watch is very helpful in pacing yourself during the exam. 3. Leave your house early and give allowance for traffic jams. The roads and Streets surrounding UP and Ateneo have massive traffic jams during entrance exams. TPs. 3ESC ESE. Engineering Student Council Academics Committee 2006-2007 W HAT TO DO DURING THE EXAMS... 1. Check your test booklet for any missing or misprinted pages. Ask help from the proctor or teacher if necessary 2. Listen to instructions carefully 3. Pace yourself. Don't waste time on difficult questions - skip them and go back later. But when skipping, make sure that your succeeding answers still match the questions. [j.e. make sure that your Answer no.5 is for Question no. 5] 4. Most exams are “right minus a fraction of the wrong.” [e.g. a wrong answer can be given a weight of + point only instead of 1 point. If you wish to guess, guess intelligently.] 5. Review your work if you still have time. 6. Be honest. Don't glance at your seatmate's answers because he may have a different set of questions. TIPS 4ESC ESE... Engineering Student Council Acedemies Committee 2008-2007 TESTWISENESS 10 Techniques to Get a Higher Score Relax. Don't be nervous. Before your exams, do this simple exercise to ease your tension: Close your eyes for a few minutes and relax your face muscles. When your face muscles relaxed, you will feel that the rest of your body will also become relaxed. Know the time allotment for each segment of your exam so that you con pace yourself accordingly. Example: Nos.1-60 Science --60 questions 50 minutes Nes.61-120 —Math 60 questions 70 minutes Nos. 121-180 Reading Comprehension ~-60 questions —45 minutes Nos. 181-250 —Language Proficiency ~-70 questions —30 minutes Listen to instructions carefully. Answer the easy questions first, and then tackle the hard ones. Don't spend too much time on the hard questions ~ go back later if there's time. Check frequently (eg. every 10 items) to make sure that your answer matches the corresponding questions, more so after you have skipped some items. Example: Does ‘Answer No.10 correspond to Question No. 10? Look for shortcuts and avoid the length computations in solving Math problems. ‘Some questions can be answered through common sense and mental calculation. Example: The 140 students in the PE class were made to line up according to their class numbers, and then told to count of *1-2" and divide themselves into two lines. All the 1's were in the first line: all the 2's were in the second line. In which ine wes Student No, 1227 Guide: Note that all the 1's or odd-numbered students were in the first line: and all the 2's ‘or even-numbered students were in the second line. So it’s easy to conclude that Student No. 122 was in the second line ‘Some questions are easier to solve when visualized with the use of a diagram. Example: TIPSPSG. Engineering Student Covncil ‘Academics Commitee 2006-2007 The town of Marabut is located along Marikina Highway. The town of Caranglan is west of Marabut. Sarangoni is east of Caranglan, but west of Marabut. Daraga is east of Rajamon, but west of Sarangani and Caranglan. Which town is the farthest west? First step: Drawa line to locate the relati position of each town. “The town of Caranglan is west of Marabut." So mark their respective locations on ‘the line. West cH™ East Next Step: Place the other towns in their correct order. west rR ° He s mf East ‘Answer: ‘The town farthest west is Rajamon. 8. Use the "Process of Elimination" (POE) when you are unsure of the right answer but sure of the wrong answers, Deciding between two choices is easier than deciding ‘among four or five. Remember, educated guesses can raise your score, and every wrong answer you can cross out will improve your chances of guessing correctly. See ‘your English Reviewer for examples of the use of “POE.” 9. Watch out for tricks and traps. These are purposely included by the test-makers to confuse you and to test how clever you really are. Example 1: Violation of the rule of "parallel structures* “Eat, drink and singing -that's what men usualy do in beerhouses.* Explanation: “Singing” should be “sing Example 2: Insertion of a clause or phrase to confuse you about subject-verb agreement “Many politician, in their desire to win an election, makes grandiose promises to voters. Explanation: The subject is “politicians,” so the verb should be "make." Example 3: Use of an inverted sentence structure ~ the verb comes before the subject “In the middle of vast cornfields stand the house where T was born.* Explanation: The subject is "house," so the verb should be “stands.” Example 4: Use of misplaced modifiers “Wrapped in several layers of paper and bound securely with tape, the worker made sure that the fragile figurines would not be broken.” TIPS. “ESC™ wo SE. Engineering Student Cowncit Academics Commi 2006-2007, Explanation: This sentence gives the impression that it's the worker that was wrapped in oper ands bound with tape 10. When answering questions that determine your ability to organize phrases or sentences, look for keywords that will help your answer the question rightaway without thinking exhaustively. Example: a, Secondly, they had no leader. b. Firstly, the workers were not united. «Finally, they did not have the support of their families. d. Thirdly, they had no funds to tide them over. From the beginning, it looked like the workers! strike was doomed to fal ‘Answer choices: 1. abdec 2. ebead 3.deabe 4. ebade There are several ways of approaching this question. ‘One way is the “Process of Elimination: * Eliminate Answer Choice No. right away because it starts with “a (‘Secondly’). Eliminate Answer Choice No.2 right avay because it starts with *e” Final’) Eliminate Answer Choice No.3 right away because it starts with “d” (Thirdly"). ‘Answer Choice No. 4is the only one lft, soit must be the right choice. Another way is by analyzing the sequence of some keywords and matching them with the answer choices: Note the following: “Firstly. isb; *Secondly.." isa: “Thirdly.” isd. $0 find out which among the answer choices has the sequence "b-a-d" and you will note that only Answer Choice No. 4 contains that sequence. TIPS 7Ceneral Science Prysics Biology Chemistry science SCIENCE aESC ESC. Engineering Student Council Academics Committee 2006-2007 GENERAL SCIENCE Instructions: Choose the letter of the best answer from the given choices. 1. Which among these is not a good conductor of electricity? a) bronze 9) plastic ) iron €) none of the above 9) gold 2. Ifthe temperature of an ideal gas is increased and the volume is held constant, the Pressure will a) increase ) increase or decrease b) decrease €) cannot be determined ©) remain the same 3, The units of carers for codes for related proteins are called a) chromosomes 4) dominant traits ») genes €) none of the above ©) alleles 4. The diffusion of heat through a liquid or gas by motion of its parts is ) radiation 6) greenhouse effect b) conduction €) none of the above ©) convection 5. ‘The shape of the earth is @) oblong @) cubic spheroid b) sphere ©) none of the above ©) oblate spheroid SCIENCE MJa ESC ESC. Engineering Student Councit Acaddemice Committee 2006-2007 6. If both the force and area of application of the said force are halved, the pressure will a) increase by a factor of 2 d) remain constant b) decrease by a factor of 2 ©) none of the above ©) diminish by square root of 2 7. Atwhat firing angle will you reach a maximum range? a) 30° d) 90° b) 60° e) 10° c) 45° pees a co je a Sr te i oo (ae oe 10. For a particle undergoing uniform motion, the acceleration is a) always nonzero ) always positive b)_may be nonzero ©) cannot be determined ©) always zero 11, When mechanical energy is conserved, potential energy is maximum when kinetic energy @)_ maximum d) cannot be determined b) minimum €) none of the above ©) equal ‘SCIENCE aESC weESE... Engineering Student Council Acadamice Commitee 2006-2007 12, if an object is moving at constant acceleration in a straight course, its instantaneous velocity through any time interval is a) greater than Ve half of its Vave b) Jess than Ver, ) none of the above ©) equal to its Vave 13, Given two vectors A= Ami + 3mj and B= 2mi - 3mj, what is A+B? a) 861m d) 8.61mi b) 6mi @) none of the above 3 6m 14, The atmospheric iayer nearest the earth's surface is. @) Lithosphere 4) Troposphere ) Stratosphere ©) none of the above ©) Hydrosphere 15. The most abundant of the gases composing the air is a) Oxygen 4) Nitrogen b) Neon €) none of the above ©) Carbon Dioxide 16. It is the movement of molecules from a weaker liquid on one side of the barrier to a stronger liquid on the other side. 2) Brownian movement 4) Diffusion ») Osmosis e) none of the above ©) Capillary action 17. According to the ‘Theory, the Earth is made up of plates moving on top of the earth's mantle. When these plates bump into each other, mountains or trenches are formed. a) Continental Drift d) Plate Tectonics ») Big Bang ) none of the above ©) Volcanic Eruption SCIENCE RDESC. WESC... Engineering Student Council Academics Committee 2006-2007 18. Which of the following is a non-conventional source of energy? a) crude oil @) nuclear energy b) coal @) none of the above ©) solar energy 19, The amount of matter present in a body is called a) volume d) weight b)_ mass €) specific volume ©) density 20. A relationship between two living things by which one is benefited while the other is. neither harmed nor benefited is called a) Commensalism d) Competition b) Parasitism ©) none of the above ©) Mutualism 21. Lunar eclipse occurs when ‘comes between, a) the Moon; the Sun and the @) the Earth; the Moon the Sun. Earth and b) the Sun; the Moon and the ©) all of the above Earth ©) Mercury; the Earth and the Moon 22. Oil can be separated from water by. ) evaporation ) distitation b) tation ©) oil cannot be separated ©) decantation aaa 23. The angle of the two plane mirrors that will give the most number of images is a) less than 60 degrees ) less than 30 degrees b) less than 45 degrees €) less than 10 degrees ©) less than 90 degrees. SCIENCE 7ESE. Engineering Student Council Academics Committee 2006-2007 24. Which of the following activities may disturb a balanced ecosystem inside the aquarium? @) replacing the water 4) putting too many fishes b) feeding the fishes ) none of the above ©) placing the aquarium in the porch 25. Wood floats in water because 2) its density is lesser than that ) its mass is lesser than that of water of water b) itis porous and light €) all of the above ©) Its molecules are not ‘compact 26. It is a threadike structure in the cell's molecules, which controls everything the ceil does. a) chromosome 4) chloroplast b) DNA ©) none of the above ©) vacuole 27. When the magma from Mayon Volcano cools and hardens, it becomes __rock. a) Igneous @) Metamorphic b) Volcanic ©) none of the above ©) Sedimentary 28, It is a massive ensemble of hundreds of millions of stars, all gravitationally interacting and orbiting about a common center. a) constellation d) nebula ) galaxy ©) supemova ©) solar system SCIENCE 4(ilansiia ESE... Engineering Student Conncil ‘Academics Commitee 2006-2007 Puysics Instructions: Choose the letter of the best answer from the given choices. 1. The planet's motion around the sun illustrates, a. uniform motion 4. uniform circular motion b. accelerated motion e. uniformly accelerated motion ¢. uniform rectilinear motion 4 2. The period of the pendulum is affected by: ,_mass of the bob 4. time of swinging length of the pendulum €. all ofthe above c. total energy 3. Which forces listed below cannot make two bodies attract each other? a. gravitational d. magnetic b. molecular 4 @. none of the above cc. centrifugal 4, Its the change in the direction of a wave when it passes obliquely from another. a. diffraction 4. reflection b. interference polarization . refraction 5. How much work is done in lifting a block of wood weighing 30 N to a height of 4m. a. 12004 a 12d b. 1200 @. none of the above ©. 100d 6. An object starting from rest accelerates at a rate of 5 m/s* for 10 seconds. The velocity at the end ofthis time is mis. a 2 ' d. 10 b. 5 ©. cannot be determined <. 50 SCIENCE 18ee ESS. Engineering Student Council Academics Committee 2006-2007 7. The number of waves passing a given point each second is the wave's a. amplitude . frequency ». velocity @. pith &.-magnitude 8, When a ray of light strikes @ mirror perpendicular to its surface, the angle of reflection Is a 0 4. 120° b. 90° e. none of the above o 45° 8. Which characteristic different media? ‘of a wave changes as it travels across a boundary between two a. displacement d. power b. speed e. allof the above cc. distance 10. An artificial satellite making a circular orbit around the earth does not move closer to the ‘center of the Earth because a. the satellite is weightless . the satellite always moves normal to the force due to gravity ©. the Earth's gravity keeps the satellite moving with constant velocity d. a centripetal force keeps the satellite to be in its orbit e. all ofthe above 11. Which of the following may be considered a scalar quantity? a. displacement 4. power b. acceleration e. none of the above c. distance SCIENCE ai ESC ESC. Engineering Student Council Academics Committos 2008-2007 12, A baseball bat exerts a magnitude of force of 60N on a ball. What is the magnitude of force exerted by the ball on the bat? t a. 60N 4. 20N b. 180N @. none of the above ©. 120N 13. What is the frequency of a particular wave if its period is 0.50 seconds? | -_ en | b. 1Hz e. 3.75 Hz c 2Hz 114, The acceleration of an object moving in a circular path is directed the center. 8. toward 4. tangential to b. perpendicular to €. 30 degrees from ©. away from 415. Liquid pressure is affected by the height and th of the liquid, a. density 4. volume b. mass e. all of the above ©. area 16. A mirror with a wide radius of curvature is used as a shaving mirror in a barbershop. The face of a person looks enlarged and the skin pores are clearly seen. This mirror is called a miror. a. concave prism b. convex e. double ©. plane 17. Which phenomenon of light explains the formation of images by lens? a. reflection 4. refraction b. dispersion ©. diffraction ©. polarization SCIENCE 7ESC. ESS. Engineering Student Council Academics Committee 2008-2007 48, The image produced by a convex mirrors @, virtual and erect 4, real and inverted b.. virtual and inverted fe. a convex mirror does nat a produce an image 19. The velocity of a car changes from 70 mis north to 50 rvs north in 5 seconds. The ‘ magnitude of the car’s acceleration is. a. -20mis* d. 14ms* b. 4mis? e, 20ms? cms? 20. Which of the following heat transfers is observed when ventilating a room? a. radiation . absorption b. conduction e. adsorption c. convection 21. Heat will always flow from object A to object B if object B has a lower a. specific heat d._ mass b. total energy @. internal energy c. temperature 22. If the mass of the Earth were twice as itis now, the gravitational force between it and the sun would be a. twice as great 4. fourtimes as great b. thrice as great €. none of the above ©. the same SCIENCE 18ESE. Engineering Student Council SCIENCE, 9 ESC. Academics, Committee 2006-2007 BIOoLoGy Instructions: Choose the letter of the best answer from the given choices. 1. What will happen to energy if food is broken down during respiration? a) Absorbed d) No reaction i b) Released ©) Adsorbed i ©) Recycled 2, Which of the following could be a possible source of CO:? 8) Decomposition Condensation b) Light reaction ©) none of the above ©) Evaporation 3 Is the study of heredity and variation. a) Botany d) Geneticology b) Genetics ©) Zoology ©) Photosynthesis. 4. Two populations may or may not affect each other. What do you call the interaction where in neither populations affect each other? a) Mutualism ) Neutralism b) Competition ©) Parasitism ©) Commensalisms 5. Seasons occur because of the a) shape of the earth 9) Moon's movement b) Sun €) all of the above ©) filt of the earth’s axisewXSC4 Engineering Student Council ‘Academics Committse 2006-2007 6. Which of the following earthquake waves is the fastest and first to reach seismic station? a) P-waves d) both S-waves and L.waves be e) all of the above os 7. During respiration, glucose is being broken down. Which of the following is needed as raw material? a) Oxygen 9) Light b) Carbon dioxide ) No raw material is needed. ©) Water 8. The primary difference between RNA and DNA is that a) DNAs single-stranded and RNA is double-stranded b)_ DNAis a double-stranded helix and RNA is single-stranded ©) The sugar in DNA is ribose ) The sugar is both RNA and DNA is deoxyribose ©) DNA\s not present in plants while RNA is 9. Two bacteria exchange genetic information. This process is called ) transduction 4) conjugation b) euglena €) conjunction ©) transformation 10, Among the five kingdoms, protists have a) the fewer varieties 4) all of he above the least diversity e) none of the above ©) the most features in ‘common SCIENCE 20ESC... Engineering Student Council Acadace Committee 2006-2007 11. What differentiates a prokaryote from a eukaryote? b) both have a membrane system responsible for delineating the cell from its surroundings. ©) a eukaryotic cell consists of a true nucleus that is membrane-bound while a prokaryotic cell does not ) algae and yeasts are examples of organisms made up of eukaryotic cells while bacteria is prokaryotic in nature €) none of the above 8) a eukaryotic cell possesses a genetic material while a prokaryotic cell does not 12, There are two primary types of cel division refers to the division where two ‘daughter cells are produced from a parent somatic or body cell, Meanwhile, | refers to the division where four daughter cells are produced from a parent sex cel | 4) mitosis; cytokinesis d)metosis; mitosis } b) cytokinesis; mitosis ©) meiosis; cytokinesis ©) mitosis; meiosis 13. In an asexual reproduction, only a single parent is involved. Which of the following is not a form of an asexual reproduction? @) gametogenesis 4) tissue culture propag: b)_ binary fission ©) none of the above ©) fragmentation 14, This kind of interaction, also called symbiotic relationship, involves two species directly benefiting from the interaction 8) commensalism 4) community b)_-mutuatism ) parasitism ©) neutral ‘ SCIENCE asESE. Engineering Student Councit Academies Committe 2006-2007 15. During mitosis, the correct order of the stages involved is: a) prephase, postphase, prophase, anaphase ) prophase, telephase, metaphase, anaphase ©) metaphase, prophase, anaphase, telephase @) anaphase, metaphase, prophase, telephase ) none of the above 16. The two types of nucleic acids, deoxyribonucleic and ribonucleic, are composed of building-block materials called 8) nucleotides 9) protein b) organelles e) DNA ©) cytoplasm 117. Ipibipil seeds are used as animal feed because it has a) fats 6) vitamins b) carbohydrates ©) all of the above ©) protein 18. The presence of distinguishes the cell as being eukaryotic @) cytoplasm @) nucleus b) mitochondria ©) false feet ©) vacuole 19. Water and other liquids enter and eventually become distributed within the plant through th a) xylem @) stomata b) phloem ©) roots ©) cambium 20. Which of the following is an artificial ecosystem? a) herbal garden 4) fish pond b) forest ©) all of the above ©) terrarium SCIENCE 22“ESCT ESE. Engineering Student Covncil Academics Committee 2006-2007 21. The stage of embryonic development, which immediately follows meiotic division, is called a) blastulation @)neurulation b) fertilization ) binary fission ©) gastrulation 22. The basic unit of living matter is the, a) cell d) molecule b) atom ) quarks: ©) nucleus 23, Mammals are different from other animal forms because they a) are vertebrates consists of both land and by have mammary glands water dwellers (i. human and whales) ©) have a unique skeletal system ©) have fur 24, Which of the following are found in chromosomes, which determine hereditary characteristics? a) cell ) genes b) alkaline ®) ATP ©) ova 25. What do you call the pores on the surface of a leat? ) mitochondria chromosomes b) calyx ©) vacuoles ©) stomata 26. Itis the process of partially sterilizing milk at high temperatures, before keeping it for some time, a) sterilization @) pasteurization ) evaporation e) skimming ©) naturalization SCIENCE 23ESS. Engineering Student Council Academics Commitee 2006-2007 27. The units of transmission of hereditary characteristics in an organism are a) genes 4) dominant traits b) chromosomes e) alleles ©) off-springs 28. Why is a virus not ativing organism? a) It can never reproduce. ©) allofihe above b) tis simpler than bacteria. ©) none of the above ©) tis not a complete cell. 29. The vascular plants include most important plants that serve as food for human beings. ‘They are also most biologically complex of all the plants. The post-fertiization, seed- bearing remnant of a flower is a. a) fruit d) flower b) seed ©) none of the above ©) root 30. An advantage of sexual reproduction over asexual reproduction is that it: ) increases mutation rate b) reduces the offspring’s risk of death during development ©) increases genetic variability in a population 4) allof the above ©) none of the above SGIENGE 4ESC ESS... Engineering Student Council ‘Aceudemics Committee 2006-2007 CHEMISTRY Instructions: Choose the letter of the best answer from the given choices. 1. Which of the following is NOT an example of a chemical change? )_souring of milk ) hair being bleached b) sublimation of dry ice €) none of the above ©) rusting of iron, 2. This term refers to a scientific intelligent guess or probable explanation to an observed phenomena or problem ) conclusion @) Hypothesis b) theory ©) none of the above ©) Law 3. Oil and water are immiscible such that when both are placed in a single container oil “floats" on top of the water. Why is this so? a) ilis a nonpolar substance while water is polar b)_ Oils a polar substance while water is a nonpolar substance ©) Oils less dense than water )_ Oils denser than water e) none of the above 4. Which of the following is NOT an example of a homogenous mixture? a) air @) copper b) gasoline e) none of the above ©) brass SCIENCE 25ESC. Engineering Student Council Academies Comittee 2008-2007 isan example of an__ property 1 temperature Mm extensive u volume Nv. intensive 2) ut b WV o™Ml uv e) tt 6. The freezing point of water based on the Kelvin scale is_ Kelvin. a) 0° ) 273.197 oO ) none of the above ©) 273.18 7. Being able to hit the bull's eye on a dartboard several times is an example of: I good precision I. _bad precision good accuracy IV, bad accuracy a) tit @ iw iv ©) none of the above 1m 8. Which of the following statements is TRUE? ) All atoms of an element have the same number of electrons in the nucleus of an element b)_ All atoms of an element have the same number of protons and neutrons in the nucleus ©) All_atoms of an element have the same number of protons in the nucleus ) All atoms of an element have the same number of electrons and protons in the nucleus ) none of the above SCIENCE 26ESC. Engineering Student Council Academics Committee 2006-2007 For nos. 9-12 Element X has 9 protons and 12 neutrons | 8. Its atomic number is wich is equal to the 4) 8, umber of protons b) 12, number of neutrons | ©) 9, number of electrons 4) 21, sum of the number of protons and neutrons ©) none of the above 10. Its mass number is. | a9 a 24 by 12 €) none of the above ° 18 11. Anatom that has 9 protons but 15 neutrons is a/an of Element X. a) isomer d) particle b) isotope €) none of the above ©) example 12. Which of the following does not belong to the group: Oxygen, Hydrogen, Nitrogen, lodine, Boron, Fluorine a) lodine d) Nitrogen b) Boron e) Hydrogen ¢) Fluorine 13, Given the structural formula of hydrogen peroxide is given shown §-———————_ | in the figure atthe ight. its empirical formula is given by oe wil its molecule formula is - a) 2HO; OH d) OH; H:O2 b) 2H202; 2HO * e) OH; 2HO ©) Haz; OH SCIENCE 27ESC ESC, Engineering Student Council Academies Committee 2006-2007 14, Na’ is an example of a/an while CF is an example of a/an a) cation; anion 4d) anion; metal b) cation; reactant @) none of the above ©) anion; nonmetal 15. Metal atoms tend to ‘while nonmetal atoms tend to a) lose electrons; gain protons )_ gain protons; lose electrons, ©) lose electrons; gain electrons ) gain electrons; lose protons ©) none of the above 16, This Law states that a given compound has a constant relative numbers and kinds of atoms a) Law of Conservation of Mass b) Law of definite/ constant composition ©) Lawof constant compound @) Law of atomic structure e) none of the above 17. Which of the following chemical equations does not belong to the group? a) C+ O2-+CO; 1d) 2Mg + Op» 2MgO b) 2KCIO; — 2KCI + 307 €) none of the above ©) CH + 202+ COp + 2H20 18. Given the unbalanced equation: C:Hs + O2 — COz + HO What type of reaction is given above, which is a rapid reaction that produces flame? a) single displacement b) decomposition ©) combination combustion €) double displacement SCIENCE .ESC ESC. Engineering Student Council Academics Comite 2006-2007 419. As determined experimentally by Italian scientist Amadeo Avogadro, one mole ot any substance represents__ particles a) 2.06x10" 4) 2.60x 10" b) 6.02 10 @) 620x107 9) 8.02% 10" 20. Acetone, which is used as solvent and as a reactant in the manufacture of Plexiglass, boils at 56.1°C. What is the temperature in Fahrenheit scale? a) 101°F ) 133°F b) 159°F ©) 63.2°F 0 14°F 21. Aside from the properties of the molecules involved, the principal factors that affect the ‘speed of a chemical reaction are: I presence of catalyst Ul. the temperature at which the reaction occurs, Ml, the concentration of the reactants 1V. turbulence in the reacting medium a) ut @) Mv b) i ©) none of the above ml 22. Which does not belong to the group? 1. Making observations MTesting a hypothesis 4M Drawing conclusions IV. Scientific method at ow bu €) none of the above om ‘SCIENCE ti‘ESC. ESC... Engineering Student Council Academics Committes 2006-2007 23. Solid calcium carbide, CaC,, reacts with water to form an aqueous solution of calcium hydroxide and acetylene gas CzH;. The balanced chemical equation corresponds to: 8) Cal) + HO + CaOH + Catt 1b) 2CaC2 1) + 3H:0 9 + Ca(OH: + 26H ©) 3CaC2 fg + ZHO —) > 3Ca™ + BOH + 3C2H (gp 9) CAC2 4 + 2H20 1p —> Ca(OH) oa) + CzH2 24. The fermentation of glucose, CeHz0r, produces ethyl alcohol, C:HsOH and CO, Cott 120 faq + 2CHSOH faq) + 2602 ig) How many grams of glucose are needed to produce 92g of ethyl alcoho!? a 2 @) 180 » 1 .) none of the above ©) 360 . For nos. 2-28, In an experiment, 5.009 of ammonia reacts with 3.0009 of oxygen ANH + 50:4 + ANOw + BHO ig 25. Which is the limiting reactant? Excess reactant? a) Op;NO d) NH: O2 b) NH; H:0 €) none of the above ©) Or; NHy 26. How many grams of NO form? @) 225 fe! 4) 878 b 22 ) mone of the above 92 SCIENCE 30ESC wine Engineering Student Council ‘Academics Committee 2006-2007 27. How much of the excess reactant remains after the limiting reactant is completely consumed (in grams)? a) 1.38 d) 6.38 b) 1.40 ) 3.73 9 14 28, How many moles of the limiting reactant are there initially? a) 0.46875 @) 0.09375 b) 0.469 ) none of the above ©) 0.096 29. How many grams of KmnO, (FW=188) must be dissolved in 200m! solution to give (0.100M solution? a) 0.029 d) 2319 b) 3.169 ©) none of the above ) 1.589 30. How many milters of a 12.0M HCI acid solution is needed to make 600ml of 1.0M HCI? a) 0.05 ® 50 b) 0.080 e) 20 08 31. The complete combustion of 3.50 mol ethane (C2H,) and 2.0mol of O» will yield moles CO; a) 44 @) 20 » 7 8) 70 9 35 32, If only 0.50 moles of CO, was produced, what is the percentage yield? a) 45% d) 6.2% b) 7.1% ®) none of the above ©) 16% SCIENCE aESC ESC. Engineering Student Council mies Committea 2006-2007 33. Consider the elements of group2A, which of the following is correct according to 8) Hydrogen, Lithium, Sodium 'b) Magnesium, Calcium, Strontium: ©) Calcium, Barium, Strontium: d) Sodium, Lithium, Potassium e) Calcium, Magnesium, Strontium 34. What is the correct electron configuration of Chloride ion? Cl = 17 + Cl = 18 ‘The atomic number of chlorine is 17. a) 16? 2s? apf 36? ap! b) 18? 2s? 2p° 3s? 3p* ©) 182s? 2p 3s? 3p* d) 48° 2s? 2p* as! Sp? e) 1s? 2s” 2p 38? 3p* 4s’ 36. What kind of substance tums biue litmus paper to red? 2) acid ) metal b) base ©) metalioid salt 36. If the pressure exerted on a confined ideal gas is doubled, what happens to its temperature and volume, taken separately? a) doubled; doubled ) halved; doubled b) remains the same ©) double; halved ©) halved; halved 37. Which of the following statements is/are true? 1 The tendency of the universe is to go towards minimum entropy or disorder Il Energy can neither be created nor destroyed Jil, ‘The reaction is said to be spontaneous when AG > 0 IV. The Internal energy of a system is a state function SCIENCEESC. Engineering Student Council Academics Committee 2008:2007 a0 9) Mand iv by band tt 1, ang tv ©) Monty 38, In the reaction Zn(s) + Cu*(aq) > Zn* (aq) + Cu(s),_ is reduced while _is oxidized. a) Zn, Cu @) Cu, Zn* by Zn, cu ©) None of the above ©) Ou",2n 39, In.a certain experiment, different volumes (listed below) of 1M hydrochloric acid ()) and 1M sodium hydroxide (il) are mixed. What can be said about Solution B? a) Itis warm and toxic ssoition | ton | (mp | Solution A] 75 | 25 Sutin] 60 | € | Solution | 25 | 75 b) Solution is fess acidic than Solution A. ©) The solution has a ph of greater than seven. @) Allof the above ) None of the above SCIENCE 33ESC ESC_, Engineering Student Council ‘Academics Committee 2006-2007 For nos. 40-41 Given the temperature profile of water below at 1 atm. ‘Temperature (degree Celsius) 40. If the above graph is based from experiment, which of the following observations is/are true? 1. wateris being heated from points A to E 1. The entropy change at points B to C and D to E is greater than the entropy change at points A to B and C to D, IIL. Line BC corresponds to the normal freezing point of water IV, Where the temperature remains constant there is no energy added or released a) it od) thu b) WV ©) None of the above ©) tuniv 44. What will happen to line DE if the pressure is changed from 1 alm to 10 atm? a) The slope of line DE will be negative b). The slope of line DE will be positive )_ The slope of tine OE will remain constant at the same temperature of 100%C 4) The slope of line DE will remain constant but at a temperature greater than 100° ©) The slope of line DE will remain constant but at @ temperature fess than 100°C. SCIENCEESC ESE... Engineering Student Councit Academics Committee 2006-2007 42. The Ideal Gas Law is applicable only to a certain extent because Real gas molecules have finite volumes and attract one another. What are the conditions wherein deviations from ideal gas behavior can be observed? a) High pressure b) Low temperature ©) High temperature d)_Low pressure @) None of the above SCIENCEEngineering Student Council Academics Committee 2006-2007 Simple Caicuius Cceometry Trigonometry Statistics Word Problems _math MATHEMATICS 36ESC ESC. Engineering Student Council Acaddemict Committee 2006-2007 SIMPLE CALCULUS and ALGEBRA Instructions: Choose the letter of the best answer from the given choices. 1. Given hx) = V(4-x). What is the domain of h? a R ©) 2-2) b) £22) d) none of the above 2. Whatis the range of h? oR ©) (0.2) b) £20) 4) (22) 3. 169 = bx. What isthe range of x? aR © +9) ») bo) 4) none of the above 4. limes @x-7) =? a 8 06 7 os 5. Suppose A ={ 2, 4, 6, 8, 10, 12}, B={1, 4, 9, 16}. Then ANB = 7 2) {1,2, 4,6, 8, 9, 10, 12, 16) ow » o @) (4,16) For nos. 6-10 Determine ifthe following statements are (a) TRUE, or (b) FALSE. 6. if acb and b 3 Whatis the lim.o+ £03) ? a) 2 b) -2 22. What is the fim 3.100) 7 a2 » 2 28, What isthe ime.sf0)? a2 » -2 24, |2x-3 | 56. Solve forx. a) (32,92) ») (372, 92) 25. f(x) = ANG= 1). What isthe domain off? a) 1>x>-t b) x>tandx<-1 28. Divide 123°)! + 18x'y? - 36° by 3x2, a) 4xy? + 6x 12y b) dxy? + 6x" — 12y/x 27. Multiply 2x By by 3x + 4y Acie b) 6x" ~ 17xy - 12y" ° ° 9 4 9 a) ° 0} 9 a ° ° 9% Academics Committeo 2008-2007 does not exist o does not exist ° does not exist 0 does not exist [-32, 972) 13/2, 972) taxed xztandxs-1 Axy? + 6x? + 12y xy? + 6x? + 12y/x 6x" - xy ~ 12)" 6x" + 17xy — 129" MATHEMATICS, 38ESC... Engineering Student Council £9. (SK4LY UK — ORY TAY JE Acedemics Committee 2000-2007 a) 27x° + By? ©) 27x + 6xy + By” b) 27x" —6xy+ By” @) 27x ~30xy + By? 29, Factor 9x” — 30xy + 25y” a) (3x-Sy (3x + Sy) ©) (3x4 5y¥ b) (ax~5y)? (Sx —By (5x + By) 30. Reduce ( 8x“y’ ) / (12x'y°) to lowest terms a 23 ©) (2x’y WM 3xy) by (22 (3y') (2x 3x7) 31. Simplify: a’/b — b’/a a) a-b ©) ab—ab? b) (a°=b*)/ab d) a-b? 82, Simplify: (7a/ 12b%)*(20b* / 354°) a) 3/36" ©) bP / 3a? b) 3a? /b? d) 3b’/a? 33, Simplify: (a +b")/(a+b)" a) w(atby? ) tat ti b) atb @ (ard) /ab 34, 812? a) 27 ©) v27 ») 127 a) war 35. N27=? a 3 9 8 b) 13 113 36, 413 -5V12 + 2075 =? a) 4y3 o) 3 b) -6V3 +6 V5 d) 5 MATHEMATICS 40ESC semnavene Engineering Student Council Academics Committee 2008-2007 37. Solve for x: 4* = 16°" a 93 b) 2 o4 38, Solve for x: log, 116 = 4 a 2 O% ba 9 23 39. If (x°-9)/(x-3) = y, what is the value of x in terms of y? a) yo 9 y-3 » ys 7 40. Which of the following is true forall possible values of x? a) (+9) =(x43) ©) tx + 3x2 = (3X +2) / 2x b) 3(x+5)=3x45 a) “Yoey = x'® 41. Which equation shows the relationship between x and y in the table? x | 3 | 6 | 9 | 2 DP ee a) y= 3x45 y=x+3 by ye2ex—1 0) y=2x-3 42. 167+ (28 "Ot )= 8, then 2P3)x a) 2B 2 b) 48 a4 43. 1.2x10° =? a) 0.0012 ) 0.000012 b) 0.00012 4) none of the above MATHEMATICS aESE. Engineering Student Councit Academics Commitee 2006-2007 44, For all x # £2, ( 2x‘ + 6x +6) /(x‘—4) is equal to: 8) (2x+3)/(K-4) b) (20 + 6x48) /(x-2F ) Ax + 3x43) /[x- 2) xt 2) D8 # 3x43) HOt 1x4) For nos. 45-50 ‘Which of the following is greater: column A or column B ? ‘A: Column A is greater B: Column B is greater C: A and B are equal —- D: cannot be determined Column A. Columns (fog) (90 fo) Yor) bd 47. -1 0 . a) 1“ quadrant ©) 3” quadrant b) 2” quadrant d) 4" quadrant 4. If cos © =-1/2 and cot © > 0, find tan © a) 12 9 8 I b) 3/2 ) ~12 5. Find the value of sin 1717/4 = a) V2 o) 2/2 b) vere ® 2 6. Express tan” x esc x in terms of sin x a) sin®x / (t-sin® x) ©) sinx / (1-sin? x) by sinx / (sin? x- 1) " )_ cannot be determined MATHEMATICS 46ESC. ESE. Engineering Student Council Academics Committee 2006-2007 7. Given the figure on the right, find cos a. a % »% 9 18 90 8. Given the figure on the right, find angle B. a) 90° b) 20° 1 1 9 6 6 30 » 0 9. Given the figure on the right, find x. a % by 2 9 ve 0 0 40. Which ofthe following is a false statement? a) tanO=sin@/cos® ©) sin? © + cos’ @ b) cot@=sin@/cot® @) osc? @-1= cot" 11. Express 30° into radians. a) 0.54 o1 b) 052 ) cannot be determined 12, cot @/tan © at : ©) 008" 8 / sin? b) sin@/cos © a) sin’ @/ cos? © MATHEMATICS arESC. Engineering Student Councit 13. Given the figure on the right, find x. a) 3/2 ) % co) 22 12 ‘Academics Committee 2005-2007 MATHEMATICS 48ES ESCA. Engineering Student Council Academie Committee 2006-2007 STATISTICS a Instructions: Choose the letter of the best answer from the given choices. 1. A managerial accountant’s sample of six companies’ book value shows $25, $7, $22, $33, $18, $15. The sample mean is: a) 19 b) 20 | 3 18 o 2 2. If.x/s the mean of a random sample of size n taken from a population with mean p and finite variance o”, then the limit form of the distribution of Z= (x- y)/ o/square root nas n approaches infinity, is the standard normal distribution n(z:0,1). What do you call this theorem? a) Probability theorem ©) Poisson ») Betl-shaped ) Central Limit Theorem 3. The set of all possible outcomes / events of a statistical experiment is called ) Element ©) Tree diagram | b) Sample space 4) Observation 4A is an arrangement of ail or part of a set of objects ) Combination ©) Mutually exclusive b) Probability ) Permutation 5. How many possible combinations are there if have 3 shorts, 4 blouses and § pair of shoes? a) 60 0 12 b) $0 none of the above 6. Find the mean and median of the numbers from 1 to 10. a) 55,55 ) 55,5 b) 55,6 4) 10,55 MATHEMATICS ce‘ESC. ESE... Engineering Student Council Academics Committes 2006-2007 7. 10. "1 oy 13, Given the data: 1, 3, 7, 5, 2, 7, 5, 5,6, 7,6, 7,7 ‘What is the mode? a) 5 o7 6 d) all of the above How many 3-digit numbers can be formed from the digits 0,1,2,9 if each digit can be used only once? a 6 o 18 by 12 4) 24 Ms. Martha, the adviser of section Gold would be giving out awards to 4 of her students. If each student can receive at most one award and that section Gold is composed of 30 students, how many possible selections are there? a) 27,405 ©) 60 b) 120 @) 687,720 ‘Seven girls would be assigned to one triple and two double classes. In how many ways ‘can this be done? a) 210 o 28 ») S040 @) 30 Cart, Karl, Carlo, Carlos and Carito are sitting on a round table when they thought of exchanging seats and count all the possible arrangements they can do. How many arrangements would they count in the end? a) 120 ©) 24 ») 60 : os ‘What is the probability of getting a sum of 7 or 11 when a pair of dice is tossed? a 18 97 b) 20 d) none of the above Find the probability of getting 3 aces out of a deck of 52 cards if 5 cards are to be drawn ata time. ) hs ©) a" alr 2Cs b) ss" 2202 / as 9) 203/s2Cs MATHEMATICS, 60ESC wt Sine Engineering Student Council Acadomios Committes 2006-2007 14, What is the probability that at least one tail occurs when a coin is tossed twice? a) 34 o2 y1 Oa 15. From a group of 4 men and 5 women, how many committees of size 2 are possible f there are no restrictions? a) 126 © 36 b) 24 ) none of the above MATHEMATICS,ESC. Engineering student Council Academics Committee 2006-2007 Worb PROBLEMS " Instructions: Choose the letter of the best answer from the given choices. 4. What isthe sum ofthe first 20 counting numbers, the first 20 even counting numbers and the fst 20 odd numbers? = nn n> a) 2300 4) 790 660 ) none ofthe above ©) 10001 2. If May deposited her money in the bank who has an annual interest of 50% compounded annually last year and has plans to-buy-a-86000 bike, when should she with draw her money if he deposited $4000? a) 2years from now ) this year b) 10 years from now ©) never ©) next year 3, If.Ju can do a painting in 7 hrs, May can do the job in 8 hrs. How many hrs will they do 9 painting jobs if they do it at the same time? a) 33 hrs 17 mins 4) none of the above b) 39 hrs 40 mins ) cannot be determined ©) 33 hrs 36 mins 4, Acaris traveling due north. At the same time the car left, a truck followed but with slower ‘speed. If the car travels 60 km/hr and the truck travels 23 km/hr, at what time will the car ‘be 100 km away from the truck? a) 2hrs, 42 min, 9.7 sec @) 7 hrs, 11 min, 2.1 sec b) 1 hr, 18 min, 7.5 sec €) none of the above ©) Shrs, 23 min, 11.4 sec MATHEMATICS 62ESC ESE. Engineering Smdent Council Academice Committee 2006-2007 te the povwine ‘5. What if the truck travels south, at what time will they be 100 km apart? a) 1 hr, 13 min, 5.1 sec ) 1 hr, 15 min, 12.3 sec b) thr, 12 min, 17.3 sec ) none of the above ©) thr, 17 min, 6.3 sec 6. What ifthe truck travels west? —- 1+ 2) 3.120 hrs ©) 4.700 brs b) 1.500 hrs ©) none of the above ©) 2.700 brs 7. A rowing team is competing on a river flowing 15 fUs. If they are traveling upstream, at what speed must they row relative to the flowing water if they want to beat the 20 ft mark. int minute? @) 1820s © 15188 ») 18180 €) none ofthe above 9 162008 8. The team realized that it is easier to travel downstream but there's a catch. There's an. obstacle on the way about 10 ft long. At the obstacle, they can only travel 1 fi/s. how fast ‘must they be going after the obstacle to beat the 1-minute time with 20 ft mark? a) 14.8 Mus a) 7.4 tus b) 7.4 Mus ) none of the above ©) -4.8%s 9. A pail, cylindrical in shape, with 2 ft inner diameter and 3 fl, height is being filled with water. How much discharge must the hose supply to the pail for it to be filled within 5 minutes? a) wns. © ooomns b) omnis ©) none of the above ©) 001m A's MATHEMATICS eae 33ESC Ee Eins Engineering Student Council Academics Committee 2006-2007 10. What's the velocity ot the water coming out of the hose st the nozzie ts quaner circwe mt cross section with 3-inch diameter? a) 0841" fs @) 0.32n" in/s ») 064r?ins 6) none ofthe above , ©) 0.32n* fis 41, Jason can build a table in 12 hrs. Trisha can also bull the same table in 9 hrs. Joe can build the same table in 11hrs. In a day, Jason starts making tables at 9 am. Trisha joined him at 11 am and Joe came at 12 noon. How many days will they consume if they are tasked to make 30 tables with a dally schedule show above while ending at 5 pm j everyday? a) 33.days - d) 17 days b) 25 days ) none of the above ©) 40 days 12, Ben is going to play lotto tomorrow. He only plays 1 combination every time he piays a bet. What is his chance in winning the jackpot if the game chooses 4 numbers out of the 20 and must be in a particular order for the jackpot to be won? a) 116280 d) 25240 b) 1/116280 e) none of the above ©) 1125240 49. A plane travels due north at 8 am with a speed of 100 kmh. another plane travels 60 degrees east of the first plane at the same time with 120 km/hr speed. How far will they bbe from each other after 6 hrs? a) 3.03 km ) 220km b) 10.20 km ©) none of the above ©) 668 km MATHEMATICS 54ESC wt SE. Engineering Student Council ‘Academics Committee 2006-2007 14, After that event (from number 13), the first plane changed direction and went south ‘maintaining its speed and the other plane went straight north changing its speed to 60 kmvhr. What will be their distance from each other after 6 hours excluding the 1° 6 hours? a) 664 km d) 634 km b) 654 km e) none of the above ©) 644 km 45. A camera man takes a picture of a globe 5 m from the center of the globe. If the globe is 6 m in diameter, how big will the globe appear to the camera man in terms of diameter? a) 5.0m 9) 4.0 km b) 3.5m @) none of the above °) 48m 16. What distance should he be from the center of the globe in order to see a 20 om — diameter globe? a) 30m b 3m | ©) 25m d) 25m ) none of the above 17. Karen has been collecting and saving 25-centavo and 1-peso coins. When she counted her coins, she found out that she has 128 coins which amount to 86 pesos. How many of each kind of coins have she? { a) 72:25-cents and 56 1-peso coins b) 82 25-cents and 46 1-peso coins ©) 56 25-cents and 72 1-pese coins 4) 46 25-conts and 82 1-peso coins e) 50 25-cents and 78 1-peso coins MATHEMATICS 3ee ESC. Engineering Student Council Academics Committee 2006-2007 18. Noong nakaraang limang taon, ang edad ni Ana ay pitong beses ng edad ng kanyang i anak. Sampung taon mula ngayon, ang edad niya ay doble ng edad ng kanyang anak ‘Ano ang kanilang edad sa kasalukuyan? a) Ana = 26; anak = 8 b) Ana = 40; anak = 14 ©) Ana = 51; anak = 18 d) Ana = 24; anak = 7 ©) Ana = 32; anak = 10 19. May and Che work together in preparation for a project. They can finish a job in 6 hours if they work together. After 3 hours of working together, May has to leave Che because she has an unexpected date. It takes Che 9 hours to finish the remaining job alone. How long ' will it ake each of them to finish a job alone? a) Che 18 hours; May hours b) Che = 20 hours; May = 10 hours ©) Che= hours; May = 18 hours d) Che = 10 hours; May = 20 hours ©) Che = 15 hours; May = 15 hours 20. Si Ryan ay nag-invest ng P 1,000,000, isang bahagi ay sa may interest na 9% at ang natitira ay sa 7%. Ang kabuuang halaga na kanyang interest ay P 86,000. Magkano ang ininvest niya sa may 8% na interest? a) 100.000 ») 800000 ©) 600000 a) 400.000 ) 200000 MATHEMATICS zeoESC_, Engineering Student Council Academics Committee 2006-2007 Crammer Context Clues Word Usage SYNGNLHIS Re2ding Comprehension Analogy english ENGLISHESC... Engineering Student Council Academics Commitige 2006-2007 GRAMMAR ns: Select the letter that corresponds to the underlined word/s that make the sentence ‘grammatically incorrect. Select the letter ‘E' if there are no grammatical errors found, I Instru 1, Everyone in our family except my brother and | has eaten lunch. No erro A ac D E 2. Hearing the news the whole group went to the province. No error, A B e oD E 3. The chairman of the board consulted his members about the committee's major problem. i A 8 c D No error. E 4. None of the players in the locker room were able to comprehend or to solved the problem. A 8 c D No error. : E 5. Science refer to that dynamic, cumulative systems of verifiable concepts and processes AB c which seek fo understand natural phenomena. No error i D E 6. From the given choices, select the word that appropriately complete each set of relationship. A B c D No error, E 7. Preprocessor directives can appear anywhere in a source file, but they apply only te the AB c D remainder of the source fle. No error. E ®. The cover photograph is a computer rendered image of the building along Makati. No error. A 8 c D E Howaver, their interest in improving the teaching of automotive courses have not subsided A 8 c D i No error, : E ENGLISH| | a Academics Comite 2006-2007 10. Sign has been used, not only to enhance the quality of illustrations but also to help students A B distinguish the difference between the two. No error, c D E 11. A number of optional sections have been included. No error. A Bec E 42. As he travels on the curved portion of a track, each racer are subjected to an acceleration A Bc directed toward the center. No error, D Eon eniny the Com 13. The professor came to her and said, “Laura, how often do you study our subject.” No error, A B c D E 14, To enjoy all rewards and privileges, please present these card when purchasing atthe store. A B c D No error, E 15. She ignore the comment and settled in at her terminal. No error. A B co E 16. Everyone except Emie and Bert have seen the flm. No error. 8 Gro e 17. Finally he winked up at Karel, and then both his eyes closed. No error, A B c D = 48, The lieutenant smiles and seemed to enjoy the Commissioner's sense of irony. No eror, co c > E 18. He felt ike he was fving thouah; and that was good enough. No error. A BoC D Ee 20. Sitting along the beach across the clini, Lito wondered what he was suppose to do, No error, A 8 c D E 21. The suspect demanded for a 20 minute break before the tral resumes. No error. A Bb c 3 — 22. Al the intersection of Raft Avenue and Stock Street, the road dead-ends at a vast two storey A 8 c D shed. No error, E 23. Both of his bodyguards move forward, but the minister waved them off. No error. A 8 : ep E ENGLISH 59.wwE SC. Engineering Student Council 24. 28. 26. 27. 28. 22. 31. 2006-2007 Cherry began to point east across Park Avenue when she was struck by the flat of the man's A B 8 c D hand. No error. E Wilbert and Isaiah Jones was dragging badly when they left the Plaza later tht night. AB c ° No error, E | only come to ask you if you would bring your Holy Water to the graveyard. No error. A Bc oD E | guess he sat down resting in the shade and never got up again. No error. AB c D E ‘What attitude towards life does the speaker seem to be expressing? No error. A ee ae) E Her childhood was happy, and she was content enough when she became a young woman. A B c . No error, E The second master, in appreciation of his wit and leaning gave him his freedom. No error. A B c D E ‘That night, he cradled the half frozen calf in his great arms and carried it home. No error A B c D E . Everyone in the class understood the project except |, and that is why | feel so stupid. A Bc oD No error, E Please call me when their already in the meeting place. No error, A Bc oD E ‘The oiLtich country of Brunei lays to the south of the Republic of the Philippines. No error, A B c D E ‘When | called you up this moming, what are you doing? No error, A BocD E GNGLISH so| ZiSe «Engineering Student Council Academics Committee 2006-2007 CONTEXT CLUES WORD USAGE Instructions: Determine which of the following synonyms on the given choices best corresponds to how the underlined word/s were used on each sentence. 1. Leo made a disappointed, misunderstood face, from the many creases at his disposal a) authority ©) garbage unit ) distribution 4) regulation 2. Ultimate stress design should be used only for projects when the enforcement of the provisions of the construction specifications is well observed. ) strengthening ©) regulation b) implementation 4) putting of force 3. Joanna's reply to his query was sure and crisp, that it didn't took too long before she was able to prod him away, a) brittle stn ©) concise b) lively ©) fragile 4. The first permanent tooth usually appears about four years ater the baby teeth have erupted. @) exploded ©) burst out ) broken out ) emerged 5. The professor took an immaculate handkerchief out of his pocket, and began to polish the lenses of his glasses. 8) pure ©) errortree spotless. 4) fawiess 8. By the end ofthe century, mass circulation of newspapers had been developed. 8) movement of blood through ©) distribution of copies veins and capillaries ) availabilty in libraries b) dissemination ENGLISH aiee ESC... Engineering Student Councit ‘Academics Committee 2006-2007 | 7. Aniifice was one of the qualities of style that was worthy of further cultivation. | @)_ fostering of growth ©) development b) refinement. d) elevation } 8, Much of his writing is slack that is why readers get bored at his works. a) lacks action ©) lacks firmness: b) lacks completeness/ perfection @) lacks diligence 9. Members shail be adequately braced to resist lateral and torsional displacement. { a) connected together ©) reinforced i b) supported with braces. d) get ready for an attack 10. Biscuits had been stamped on the floor, making mopping more laborious than it already is, a) crushed ©) pounded b) impressed @) imprinted 11, Please depress the red button when you're ready. @) press down ©) discourage b) repress d) weaken 12. The commander ordered his men to hold their posts no matter what happens. a) support ©) adhere to b)_ maintain d) catty 13. When Cherrie and Chester finally got into the elevator, they found themselves crushed against each other. a) powdered to small pieces ©) squeezed b) silenced @) had an infatuation 14. One week later, the vessel deposited them in one of the biggest ports on the Eastem Peninsula, ) consigned ©) credit | b) dropped @) accumulated ENGLISH eeESC ESE. Engineering Student Council Acedmies Cammittes 2006-2007 15. Pauline’s words had made all sorts of frightened echoes in our minds. The word echo in this sentence means @) a close imitation b) an answering sympathetic effect ©) a soft recurrence of a statement ) a reverberation of sound waves 16, The gases trapped in pasty lava do not escape freely and may sometimes break out with explosive violence. | a) sudden ©) unrestrained b) expressive d) volatile 17. The dead load consists of the weight of the structure completed. @) empty ©) constant ») inert 0) lifeless SYNONYMS Instructions: Choose the letter of best answer from the given choices. 18. Terrie kept fumbling the materials, gathering a few and shuffling them as if they were cards, \ a) playing with ©) groping for b) juggling d)- moving clumsily 19. Two police officers sprawled over a couch in Johanna’s living room, as if they were in their own homes. a) creep awkwardly 4) sit with arms and legs spread i b). tay down ou ©) jumped into ENGLISH 8 63| ES : | wESC_, Engineering Student Conncil Academics Committee 2008-2007 20. The interviewer, dark, young and serious, turned his attention to us with a cramped sort of face. } a) paralyzed ©) bothered i t ) cheerful 4d) expressionless | 21. The dog ambled tothe door, which was sight ajar, and slowly squeezed out into the | passage a) crept ©) walked I b) ran ) jumped ; 22, Harold lumbered at him and clouted him across the head. t 2) cover with a clout ©) stroke gently b) hit forcefully 4) kissed 23. | thought they were likely to bundle him into a car but the policemen simply led him back to the road and pointed him towards the town center. a) wrap ©) alotof things ' b) hustle 4) group together 24, The brass bars are bundled in two's, three's and fours 2) wrapped ©) alotof things b) hustled 2) grouped together 25. The tractor-trailer backed away from the smoldering wreck and stopped { a) buming steadily €)_ burning with much smoke ) flaming increasingly 4) exploding 26. The gymnast plunged from bar to bar, twisting and turning with dazzling speed. a) skipped playfully ©) swung lightly b) thrust forward 4) dangled ialy 27. The Ifugao lady gently slipped off the headband that held the basket high on her back so that she could rest for a while. 3 a) removed quickly ©) wore in b) slid out of place 4) threw away ENGLISH , wmESC ESE... Engineering Student Councit ‘Academict Committee 2006-2007 28. His stoic attitude eared him the title “man made of stone, a) active ©) hard b) heavy @) indifferent 29, Samuel could not stand the gelid surroundings of the Alpine Mountains. a) very cold , ©) humid b). very hot @) tepid 30, Do not worry about running short of rice because we had a copious harvest last month, a) weak ©) depleting b) innumerable d) abundant 31. Jojo is suffering from asphyxia. Noxious gases during fire have suffocated him, a) an unconscious stato ©) a state of suppression b)_astate of trance ) a state of affliction 32, Her hair was full and lightly curled, Which of the following terms best describes a full hair? a) chubby | ©) detailed 5) filled 4) thick 33, The judge exculpated the accused for lack of evidence. a) proved guilty ©) banished b) exonerated @) proved innocent 34. The politician was criticized for his preposterous remarks. a) lengthy ©) absurd b) witty @) promising 38. Having lived with three old maids, Lucy projects a reticent attitude. )_meek ae ©) effulgent b) effusive 0) offensive ENGLISH rsESL. Engineering Student Council Academics Committee 2006-2007 READING COMPREHENSION Instructions: Each passage below is followed by questions based on its content. Choose the best answer and shade the box corresponding to.that answer. Passage 1: Ho-t trembled every joint while he grasped the abominable thing, wavering whether he should not put his son to death for an unnatural young monster, when the crackling scorching his fingers, as it had done his son's, and applying the same remedy to them, he in his tum tasted some of its flavor, which, make what sour mouths he would pretence, proved not altogether displeasing to him. In conclusion (for the manusoript here isa title tedious) both father and son fairly sat down to the mess, and never left off tll they had dispatched all that remained of the litter. (An excerpt from Charles Lamb's A Dissertation Upon Roast Pig) 4. Inthe first sentence, the nearest meaning to the word “abominable” could be @) humongous ©) legal b) detestabie @) dangerous 2. What remedy did the father used for his scorched fingers? 4) he put his fingers under the running water ) he went outside and buried them in snow ©) he licked them 4) he wrapped cloth around his fingers 3. What kind of figure of speech was used inthe first statement, “Hou trembled every joint”? a) simile ©) hyperbole b) metaphor “gy personification assage 2: {na sense we have come to our nation’s capital to a cash check. When the architects of our republic wrote the magnificent words of the Constitution and the Declaration of Independence, they were signing a promissory note to which-every American was to fall heir. This note was @ ENGLISH esESC eZ SE. Engineering Student Council Academics Committee 2006-2007 promise that all men, yes, black men as well as white men, would be guaranteed the unalienable rights of life, liberty, and the pursuit of happiness. itis obvious today that America has defautted ‘on this promissory note, insofar as her citizens of color are concemed. Instead of honoring this sacred obligation, America has given the Negro people a bad check, a check has come back marked “insufficient funds." (An excerpt from Martin Luther King Jr's { Have A Dream) 4, The word “defaulted” in the passage means ) set for automatic ©) remove fault b) neglected )_ failed to appear on time 5. The whole passage is developed by a) comparison and contrast ©) cause and effect b) narration ) dialogue 6. The purpose of the passage is to a) humor ©) preach b) bring about awareness enlighten Passage 3: ‘Sun Tzu said: There are five ways of attacking with fire. The first is to burn soldiers in their camp; the second is to bum stores; the third is to bum baggage trains; the fourth is to bum arsenals and ‘magazines; the fifth is to hurl dropping fire amongst the enemy. In order to carry out an attack, we must have means available. The material for raising fire should always be kept in readiness. There is a proper season for making attacks with fie, and special days for starting a conflagration ‘The proper season is when the weather is very dry; the special days are those when the moon is in the constellations of Sieve, the Wal ‘ising wind. the Wing or the Cross-bar; for these four are all days of (An excerpt from Sun Tzu’s The Art of War) ENGLISH : 67c= ss oni prone ESC. Engineering Student Council 2006-2007 READING COMPREHENSION Instructions: Each passage below is followed by questions based on its content. Choose the best answer and shade the box corresponding to that answer. Passage 1: Horti trembled every joint while he grasped the aborninable thing, wavering whether he should not put his son to death for an unnatural young monster, when the crackling Soorching his fingers, as it had done his son's, and applying the same remedy to them, he in his tun tasted some of its flavor, which, make what sour mouths he would pretence, proved not altogether displeasing to him. in conclusion (for the manuscript here is a tittle tedious) both father and son fairly sat down to the mess, and never left off tll they had dispatched all that remained of the litter. (An excerpt from Charles Lamb's A Dissertation Upon Roast Pig) 1. In the first sentence, the nearest meaning to the word “abominable” could be ) humongous ©) legal b) detestable 4d) dangerous 2. What remedy did the father used for his scorched fingers? a) he put his fingers under the running water ) he went outside and buried them in snow ©) he licked them 4) he wrapped cloth around his fingers 3, What kind of figure of speech was used in the first statement, “Ho-ti trembled every joint”? a) simile ©) hyperbole b) metaphor . ) personification Passage 2: Ina sense we have come to our nation’s capital to a cash check: When the architects of our republic wrote the magnificent words of the Constitution and the Dectaration of independence, they were signing a promissory note to which every American was to fall heir. This note was a ENGLISH cSESE... Engineering Student Council Academics Commitee 2000-2007 Promise that all men, yes, black men as well as white men, would be guaranteed the unalienable fights of life, liberty, and the pursuit of happiness. itis obvious today that America has defaulted on this promissory note, insofar as her citizens of color are concemed. Instead of honoring this sacred obligation, America has given the Negro people a bad check, a check has come back ‘marked “insufficient funds,” (An excerpt from Martin Luther King Jr.'s / Have A Dream) 4. The word “defaulted in the passage means @) set for automatic ©) remove fault b) neglected 4) failed to appear on time 5. The whole passage is developed by ‘@) comparison and contrast ©) cause and effect b) narration d) dialogue 6. The purpose of the passage is to a) humor ©) preach ) bring about awareness d) enlighten Passage 3: Sun Tzu said: There are five ways of attacking with fire. The first is to burn soldiers in their camp; the second is to bum stores; the third is to bum baggage trains; the fourth is to burn arsenals and ‘magazines; the fifth is to hurt dropping fire amongst the enemy. 1m order to carry out an attack, we must have means available, The material for raising fire should always be kept in readiness. There is a proper season for making altacks with fire, and special ‘days for starting a conflagration, ‘The proper season is when the weather is very dry; the special days are those when the moon is in the constellations of Sieve, the Wall, the Wing or the Cross-bar; for these four are all days of rising wind, (An excerpt from Sun Tzu's The Art of War) BAGLISH 67Sneed ESS. Engineering Student Cowncil Academics Committee 2006-2007 7. What can be a good title for the exCETP? ihe a) Season for fire ©) Waris Better than water b) Attacking with fire 4) The Artof Burning 8. The purpose of the passage is to ) teach ©) ridicule b) enlighten 4) boast 9. What is an arsenal? a) acamp ©) a building filed with ammo b) a building filled with guns. ) a parking space for chariots 10. Why is a very dry weather the proper season for making attacks with fire? 8) Soldiers usually sleep when the weather is dry b) Soldiers are busy searching for food ©) Itis more difficutt to put out fires * )_Itis unlucky in their religion to put out fires during dry season Pasasge 4: Read not to contradict and confute, nor to believe and take for granted, but to weigh and ‘consider. Some books are to be tasted, others to be swallowed, and some few to be chewed and digested; That is, some books are to be read; only in parts; others to be read but not curiously, ‘and some few to be read wholly, and with diligence and attention. Some books also may be read by deputy; and extracts made of them by others; but that would be only in the less important arguments and meaner sort of books; else distilled books are like common distilled waters, flashy things. Reading maketh a full man; Conference a ready man; and Writing an exact man; and therefore, if a man writes litle he need to have'a great memory: f he confers litle he need have @ present wit; and if he reads little he need have much cunning, to seem to know that he doth not Histories make men wise; Poets witty; and Mathematics, subtie; Natural Philosophy, deep: Moral, ‘grave; Logic and Rhetoric, able to contend; Abeunt studia in mores. Francis Bacon, Essay: 1561-1626 11. What are meant to be digested? a) men ©) books >) water @) mores FNGLISH post Gee ESC wmavenina Engineering Student Council ”* Academics Committee 2006-2007 12. When do you consider a man full? a) when he can offer 'b)_ when he can read ©) when he can see d) when he can read and understand 13, How can @ reader leam from @ book? 8) when he joins arguments b) when he knows many writers c) when he can write poems: d) when he applies and assimilates the words 14, According to the passage, why does @ man read? } a) to contradict and confute : b) to believe and take for granted ©) to waste and swatlow d) to weigh and consider 15. How will a reader treat a book? a) asa friend ©) asamemoir b) as 8 confidante ) asa historian Passage &: i Peter came to him and said, “Lord, how often shall my brothers sin against me, and | forgive him? Up to seven times?” Jesus said to him, “I say to you, not seven times, but seventy times seven.” ‘Thus the kingdom of heaven is lke @ certain king who had servant that owed him ten thousand talents. Because he could not pay, the lord ordered him to be sold, and his wife L and children, and all that he had, and payment be made. The servant therefore fell down i ‘and worshipped him saying, “Lord have patience with me, and | will pay you all.” Then the ENGLISH$$$ ESC. Engineering Student Council Academics Commits 2006-2007 | Lord ot that servant was move with constant compassion and freed him and forgave him the debt “But the same servant went out and found one of his fellow servants who owed him a hundred pence, and he laid hands on him, and took him by the throat, saying, "Have | patience with me and | will pay you all." And he would not, but went and cast him into prison, tll he pays his debt. ‘So when his fellow servants saw what was done, they were very somy and came and told their ford all that was done. “Then his lord, after calling him forth said to him ‘O wicked servant, | forgave you all that debi, because you begged me. Should you not also have the compassion on your fellow servant, even as | had pity on you?" And his lord was angered and delivered him to the torturers, till he should pay all that was due to him. So likewise shall my heavenly Father 40 also to you, if you do not forgive from your heart your brothers’ trespasses.” 16. Jesus told Peter that he must forgive his brother a) seven times ©) many times | b) seventy times seven d) sometimes 17. The king forgave his servant because a) he felt sony for him b) the servant paid him quickly ©) the servant fell down and hurt himself 4) the servant's wife promised to sell their goods to pay the debt 18. When the servant was imprisoned by the man who owed him money. his companion a) did nothing ©) asked him what he was doing b) were angry ) reported what he had done to their lord ENGLISH 70 \ESC... Engineering Student Council Acadomice Committee 2006-2007 49. In this parable, Jesus is teaching about a) money ©) forgiveness b) kings @) prisons 20. The servant's lord was angry with him finally because )__he had not paid his debt b)_ he had no pity on his fellow servant ©) the lord wanted money d)_ the servant continued to beg for more time to pay ENGLISH ™ESC ESC... Engineering Student Council ANALOGY Academics Committae 2008-2007 Instructions: Select the word or pair of words that appropriately completes the following relationship. 1. ODE: POETRY; : 8) THEME - ESSAY b) CONFLICT - SHORT STORY 2. EACH: SOMEBODY; a) THAT-OH b) GRACEFULLY - DANCE 9) SING- SONG : 3 PEAL: PEEL; a) STEAL- STILL b) FAIR- FARE © BUY- WIE 4. HERD: CATTLE; ) COLONY - TERMITES b) PACK- PEACOCKS. ©) HIVE - WOLVES 5. EPIC: ELEGY; 8) ALLEGRO - PLOT b) SONATA - SATIRE ©) RADAR - ALLEGORY GOLF : HOLE; 8) BASEBALL - GLOVE b) ARCHERY — BULL'S EYE ©) BOWLING - PIN ENGLISH ° 2 4) ®) ® ° ° ” O) FABLE - PROSE TRAGEDY -DRAMA DENOUEMENT ~ NOVEL WHICH - WHOM MAN ~ HE GREAT - GREET MEAL - KNEEL ‘SWARM - QUAIL COVEY - WHALES DISSECT - PROTAGONIST COUPLET - SONNET ‘TENNIS - RACKET BASKETBALL - CENTER nESC... Engineering Student-Counci-——— Academics Committos 2006-2007 7 10 " 12, 13 PROTEIN: MEAT: @)_ ENERGY - SUGAR ¥) CALORIES- WATER ©) VITAMINS - MINERALS FERN: PLANT: ___ a) SHARK - WATER ®) CAT-LION ©) COLLIE- BOXER TRY: RIED; ) CAME - COME b) FLY-FLEW ©) GO-GONE LION : CUB; a) DUCK- DRAKE ») CHILD- BABY ©) HORSE -COLT RABIES : DOGS; 7 a) MALARIA - MOSQUITOES b) FEVER- ANTS ©) COUGH- WORMS GLOVES : HAND; a) WELDER - STEEL b) GUN- COMBAT ©) FIELD - FOOTBALL GUN : HOLSTER; @) SWORD - SCABBARD ) SWORD - SLAY ©) SWORD - BAYONET e) ° °) 9% e % ° 0 2) STARCH - POTATOES FAT ~ CHOLESTEROL GERM. DISEASE DOG = ANIMAL DEAD - DIED SIT - SITTING GOAT- LAMB, DEER ~ VENISON AIDS - RAT LEPROSY ~ BUTTERFLIES HELMET - HEAD ARMY ~ SOLDIER ‘SWORD - CADET SWORD - WAR ENGLISH 13ESC ESC... Engineering Student Council Academics Committes 2008-2007 14. CANVAS : PAINTING: a) b) ° 18. IRON a) b) ° ® ®) ENGLISH CLAY - POTTERY CLAY - MOLD CLAY - ART SOLID; WATER - GASEOUS WATER - PAIL WATER - COMPOUND. WATER - ELEMENT WATER ~ FLUID d) CLAY- STATUE ©) CLAY—BAKE 4SE. Engineering Student Council Academics Committos 2006-2007 ANSWER KEY 7%i f ESC. mpEGun Engineering Student Council ‘Academics Committee 2006-2007 SCIENCE General Science geseadcascoacaacorseroaoouea i | a b c c b © a a b 4 ce a ° boocmanD se@eneopaene 8 bacaceeocaa® eacencacac |. &, while b&d are true, the question remains. unanswered. (always choose the best and most appropriate answer) 12.6 2 . Prophase, metaphase, anaphase, telephase a 4 ANSWER KEY 76ESC ESSN. Engineering Student Council Academics Committee 2006-2007 Chemistry 4. b, sublimation : solid to liquid 2d 3 ¢ 4. d, airis gaseous soin , gasoline= liquid soln, brass=solid, copper=element 5. b, intensive property: does not depend on the amt of substance/ sample 6. ¢, “(0K is absolute zero, the lowest attainable temp. Kelvin does not use °) 7. 8 8. the rest normally exists as diatomic molecules pagcenagcanoe 20. d, °F = 915°C + 32 21. e hla 22. d, |, Il, and Ill are parts/steps in the scientific method (which is the general approach to problems) 4 peoa 28. c, following ruies of significant figures 29. b, 0.1 = [6x g\(moles/ 158 g)}/ (2001)! tenne= 30. a, M\Vy = M2V2 => 12V, = 170.6 31a iH + 7/2 On — 2CO, + 3H.O 3.5 mol ethane * (4 moles CO; / 2 moles ethane) = 7 moles CO, 2.0 mol 02 * (4 mole CO; /7 moles Oz) = 1.1 moles CO> 32. a, 0.5/1.1 =0.45 33. 34. 35. 36. 37. 38.6, Cu", Zn LEORA = lose electrons Oxidation (gets oxidized) reducing agent GEROA = gain electrons Reduction (gets reduced) oxidizing agent 38, Answer: Given the statements the best answer would be b. ph of Sol'n B is 7 since equal volumes of HCI and NaOH react. All three solutions undergo a neutralization reaction with water and a salt (specifically NaCl) as product. 40.0 41, d, Bolling point Elevation. Boiling point temperature increases with increasing extemal pressure. 42, €, nota. High pressure and low temperature ANSWER KEYBSG. Engineering Student Councit Academics Committee 2008-2007 Simple Calculus 27.6, (2x~ By) + 4) 1b Aptoeo ; king the FOI, method ¥ Frder 3x 8 © ody = By gy 3x 2 Lay a 37-6 dts Pe 3 28, a, (3K+2yM3x)? ~ (BxN2y) + (2yF 2 ah ean ay 5 8 7 29. b, perfect square: (3x-5y)", & Bo. a. By tay oy 9 8 31 b, (aa -bbylas) = (a! ~b*Vlab) 10. 32. ¢, (7135)20112)(a/a"4b"7>°) 1 = (/5\(5/3) Va" Kb") =?) 3a" 12. 33. 4, ( tla + 1b MtKa+b)) bvaygeeyao) (aso) (ao) 18 we y~(-3) = (3/4) ~6) 35. Aes Scott 38. 8, N9_ Siar) + 226"3) 3x ay-620 Sig tog ows. = 49 me are 14. b “eo | ie fog: 2*= og: 2** | ie | ta ie ¢ i 8. 20.¢ 2b | 2s | 2 4 38. 6, (x43)0-3)I (x3 24.6 eyes | * 02 40. 32, 82) a . ray 25», W2-1)>0 ae 5120 440 Pare) 4.5 Xo and Ax we Devs as Ve2ev)- te 26 b, URIs EV /2e7)- 48 ae *) = Axy? + Bx! -12y/x y * 49.0 58 51.5 52.4 | §3.b | a 55.4 ANSWER KEY 78ESC. Engineering Student Council Geometry 4, a, Surtace area = 4n (2) =50.26 2. a, Solution 200em = 2m V=(1/3)(B)(h)= (1/3)(4)(2) 3. a, Supplement = 180-37 =143, Complement=90.37= $8 67 mi’ 4 \ce AB and CD is not parallel and no suffitent data, we cannat detrine the answer. 5. b, 120 a, a, total area= 8(10)=80 cm? small rectangle area= 3x4=12 om? Area= 80 om'-12 cm? bo a2 ©. a. chord dic eb Statistics 1b 24 3b 4d sa 8 a, mean= (142+344+5+6+7+8+0410)/10 =5.5 median = (5+6)/2=5.5, 7. c, (Tisthe most frequent element) ac ad 10a tte 12.b Be 4a 18.4 ANSWER KEY 2 Academice Committee 2006-2007 Trigonometry 1 ©, sinx =2/4 sinx =, xesin’' % =30° sin 6 J cos @ = -1/2 sin’ @ +4 sin" @=1 Ssin’ O=1 sin = £15 since 270° < © < 360” sin @ = -1N5 ©, sinx <0 = 3°Q and 4"Q tan x=1" Q and 3° Q Therefore, 3° Q 4, sin 17014 = sin (na + 47) = sin wi4 = 12 c, tan’x esex = (1/sinx)*(sin"x Jcos?x) sinx /cos* sinx 1(1-sin?x) b, @=a’+b?-2ab cosa 4=4+1-2724*cosa 4-5=-22"1"cosa 4°cos a cos l, sin B/1= cos B/ 1 ¢, sin 30=x/ v3 KaW3 x= 3/2 b, cot@=cos @/sin@=1/tane b, 30" 1/180 = 0.52 , cot@=1/tan@ (1/tan 8) /tan @ = 1 /tan? @ = 1 (sin? © / gos’ @) cos G / sin? © rTESC. Engineering Student Council Word Problems 4. @. ninetyi2 + mimety2 = (20y2061/2"+ (40)(40+1)2 = 1030 2 a Ferien 6000 = 4000 (1 + 0.50)" Jog 6000 = log [4000 (1 + 0.50)" {og €000 = log 4000 + logit + 0.50)" fog 6000 = log 4000 + N log((t + 0.50) 'N* (iog 6000 1og 4000) log(t + 0:50) N= flog (6000/4000)} {log(1 + 0.50)] Nelog 18 /og 18 Nat This year 3. 6 (W847) T=9 T= 33 hrs, 36 mins. 4,9, 60 kmihr ~ 23 kmihr = 37 kmihr = relative velocity Velocity = dist time 37 = 100/ time Tim brs = 2 hrs, 42 min, 9.7 sec 5. b.60+23= 83 kmihr = relative velocity 83 = 100/ time Time = 1.2048... hrs = 1 hr, 12 min, 17.9 sec 6. 9, ¥ =60km/be* time X23 km fh time Yee = 100? (ot + (234) = 1007, 520r ¢ 3600¢ = 100° 41296 = 100" t= 100/429 hes 7 ava (V-18y60) Vets se velocity relative to the observers. 20 8. o.4fis= 10 /timet tmet = 10 left for the rest ofthe distance = 50 sec V=-148 8 ‘Ans: they don't need to rowigo faster; low of water wilihelp them beat the timemark 8. ¢, Discharge. Q=volumenime Genr' (1)°345°60) Ootw Ris Oty 1/4"10.26%) . =064n ts, 11. d, £11218) + 1/9(6) + 1/9145) ]* days 17 days consumed Academics Committe 2006-2007 ANSWER KEY 30wESC_. Engineering Student Council 42. b, 201918417 = 110280 Ang: 1 is to 116280 chances 13. «¢, Dist, Traveled by 1* plane,A= 100*6=600 km north from origin Dist. Traveled by 2” plane,B = 120°6=720 km 60° east of south Cosine lew: {dist from each other)? = A? + B?— 2ABcos 60° 600° + 720 ~ 2°600°720"1/2 = 448400 dist from each other = 446400 km = 668.13 km 414, 8, A=100*6=600 km south from last position = origin 18=60°8=360 km north from last position = directly east of origin dist, from each other 415. 2. Right triangles: Academics Conmites 2008-2007 10 *(0872}=960 13 km =624 km Radius,A = 3m ~ Distance Diameter of what the cameraman sees = 4.8m 16. Azam Cos 8 = 0.2019, atexte at 20° +3? = 9.04 a= 8.04 by similar triangles: alA= AC \9,04/3 = s/c ©. distance of camera man = 9/.9.04 m= 3m 20m 17. 6 tet x= number of Php0.26 coins y = number of Phpi.00 coins, 28 4) 026+ y=06 (2) | (1) ~(@) 0.78 = 42 ~ 9 86 y=128~ 56 = 72 18, a, let x= edad ni Ana ngayon lad ng anak ni Ana ngayon x=S=7\y~5) —x-7y=-90 —(1) x4 10= 2y+40) —x—2y= 10 —{2) A) =O) By = AO, oe ye 2+ 10226 19. a, let = hrs Che can do the work alone ‘m= hrs May can do the work alone 6le+ Bim 1) 3m + 12lo= 1—~6lm-* 24lo= 2 42) (1) ~@)—0=18, maa jalaga na in-invest sa 9% y= halaga na in-invest sa 7% 7 x+y = 1.000 000 0.06% + 0.07y = 8€ 000-—- (9/7) + y = 86 000/0.07 (1)= (2) — x= 800 006 x1) +2) ANSWER KEY ata oe ESC enginering Sudent Council ey ENGLISH Grammar te Context Reading Analogy 20d Re Clues ob toc he Ze 7 5D 1a 36 3b 6c 2b 4b 4e Le 3c 5a 5. 8b coe 6b 6b a ¢ 5. b nb Rd 10. b, itlustrations, 6c 8 a Be 7b 9b (ae ae foe foe ge we ite ale Be ia fa 13.4 13.4 ne tea f: 3c 18. 14.b 16. 15.¢ 17a 16. a 18.4 1c 19.6 18d 20.b tea oe te nb 2b md 6 ie - ob 31. B haletogen ab 32. cme 28.0 38. bs ineyre 20.8 34 lee 50:4 31a $8 oss tmnere 33.0 340 ase ANSWER KEY %