sampleQuestions

3. Quality manager4. Team memberAnswer B5 A heuristic is best described as a:1. control tool.2. scheduling method.3. planning tool.4. rule of thumb.Answer: D6 If earned value (EV) = 350, actual cost (AC) = 400, planned value (PV) = 325, what is cost variance (CV)?1. 3502. -753. 4004. -50Answer D7 A project manager has just been assigned to a new project and has been given the preliminary project scope statement and the project charter. The first thing the project manager must do is:1. create a project scope statement.2. confirm that all the stakeholders have had input into the scope.3. analyze project risk.4. begin work on a project management plan.Answer: B8 You are taking over a project during the planning process group and discover that six individuals have signed the project charter. Which of the following should most concern you?1. Who will be a member of the change control board2. Spending more time on configuration management3. Getting a single project sponsor4. Determining the reporting structureAnswer: D9 The project manager is making sure that the product of the project has been completed according to the project management plan. What part of the project management process is he in?1. Planning2. Executing3. Monitoring and controlling4. ClosingAnswer: D10 The WBS and WBS dictionary are completed. The project team has begun working on identifying risks. The sponsor contacts the project manager, requesting that the responsibility assignment matrix be issued. The project has a budget of U.S. $loo,ooo and is taking place in three countries using 14 human resources. There is little risk expected for the project and the project manager has managed many projects similar to this one. What is the next thing to do?1. Understand the experience of the sponsor on similar projects.2. Create an activity list.3. Make sure the project scope is defined.4. Complete risk management and issue the responsibility assignment matrix.Answer: B11 Risk tolerances are determined in order to help:1. the team rank the project risks.2. the project manager estimate the project.3. the team schedule the project.4. management know how other managers will act on the project.Answer A12 A project manager is employed by a construction company and is responsible for the furnishing of the completed building. One of the first things that the project manager for this project should do is to write a:1. Work breakdown structure.2. Budget baseline.3. Project charter.4. Project plan.Answer: C13 Your company has an emergency and needs contracted work done as soon as possible. Under these circumstances, which of the following would be the helpful to add to the contract?1. A clear contract statement of work2. Requirements as to which subcontractors can be used3. Incentives4. A force majeure clauseAnswer C14 The "halo effect" refers to the tendency to:1. promote from within.2. hire the best.3. move people into project management because they are good in their technical fields.4. move people into project management because they have had project management training.Answer C15 A project manager is trying to complete a software development project, but cannot get enough attention for the project. Resources are focused on completing process-related work and the project manager has little authority to properly assign resources. What form of organization must the project manager be working in?1. Functional2. Matrix3. Expediter4. CoordinatorAnswer: A16 All of the following are characteristics of a project EXCEPT:1. Temporary2. Definite beginning and end3. Interrelated activities4. Repeats itself every monthAnswer D17 A team is using a fishbone diagram to help determine what quality standards will be used on the project. What part of the quality management process are they in?1. Perform quality control2. Perform quality assurance3. Quality planning4. Variable analysisAnswer C18 The equivalent of cost reimbursable contracts is frequently termed:1. Back charge contracts.2. Fixed price contracts.3. Progress payment contracts.4. Cost plus contracts.Answer: D19 A buyer extends a formal invitation that contains a scope of work that seeks a response that will describe the methodology and results that will be provided to the buyer. This is called:1. Invitation to bid.2. Request for information.3. Request for proposal.4. Request for bid.Answer: C20 A project manager must have some work done by an outside contractor. This work has a great deal of risk associated with it, and it has become very difficult to find a contractor willing to take on the job. Which of the following types of contract would offer the greatest incentive to the contractor?1. Cost plus percentage of cost as an award fee2. Cost plus fixed fee3. Cost plus incentive fee4. Firm fixed priceAnswer: A21 Purchasing insurance is considered an example of risk:1. mitigation.2. transfer.3. acceptance.4. avoidance.Answer B22 A cost performance index (CPI) of 0.89 means:1. at this time, we expect the total project to cost 89 percent more than planned.2. when the project is completed we will have spent 89 percent more than planned.3. the project is only progressing at 89 percent of that planned.4. the project is only getting 89 cents out of every dollar invested.Answer: D23 In the matrix management organization, which of the following is true?1. The project manager is responsible for employee skills improvement.2. The functional manager is responsible for employee skills improvement.3. The project manager is responsible for the employee.s annual appraisal.4. The employee is responsible for his or her own skills improvement.Answer: B24 Your program manager has come to you, the project manager, for help with a bid for her newest project. You want to protect your company from financial risk. You have limited scope definition. What is the BEST type of contract to choose?1. Fixed price (FP)2. Cost plus percent of cost (CPPC)3. Time and material (T&M)4. Cost plus fixed fee (CPFF)Answer D25 The project management process groups are:1. Initiating, planning, expediting, and control.2. Plan, organize, develop, and control.3. Plan, do, observe, commit.4. Initiating, planning, executing, controlling, and closeout.Answer: D26 In which project management process group is the detailed project budget created?1. Initiating2. Before the project management process3. Planning4. ExecutingAnswer C27 Which of the following conflict resolution techniques will generate the MOST lasting solution?1. Forcing2. Smoothing3. Compromise4. Problem solvingAnswer D28 Decomposing the major deliverables into smaller, more manageable components to provide better control is called:1. Scope planning.2. Scope definition.3. Scope base lining.4. Scope verification.Answer B28 Any numbering system that is used to monitor project costs by category such as labor, supplies, or materials, for example, is called:1. Chart of accounts.2. Work breakdown structure.3. Universal accounting standard.4. Standard accounting practices.Answer A29 Which of the following is NOT an input to the initiating process group?1. Company processes2. The company culture3. Historical WBSs4. Project scope statementAnswer D30 Workarounds are determined during which risk management process?1. Risk identification2. Quantitative risk analysis3. Risk response planning4. Risk monitoring and controlAnswer D31 A person who is involved in or may be affected by the activities or anyone who has something to gain or lose by the activity of the project is called a:1. Team member.2. Customer.3. Stakeholder.4. Supporter.Answer D32 Quality is:1. meeting and exceeding the customer's expectations.2. adding extras to make the customer happy.3. the degree to which the project meets requirements.4. conformance to management's objectives.Answer C33 A schedule performance index (SPI) of 0.76 means:1. you are over budget.2. you are ahead of schedule.3. you are only progressing at 76 percent of the rate originally planned.4. you are only progressing at 24 percent of the rate originally planned.Answer C34 Contract closure is different from administrative closure in that contract closure:1. occurs before administrative closure.2. is the only one to involve the customer.3. includes the return oiproperty.4. may be done more than once for each contract.Answer A35 During the full life cycle of the project, a plot of the project.s expected expenditures will usually follow a characteristic ..S.. shape. This indicates that:1. There is a cyclic nature to all projects.2. Problems will always occur in the execution phase.3. There are high expenditures during closeout.4. The bulk of the project budget will be spent in the execution phase.Answer D36 An output of administrative closure is the creation of:1. project archives.2. a project charter.3. a project management plan.4. a risk analysis plan.Answer A37 A temporary endeavor undertaken to create a new product or service is called a:1. New product development.2. Project.3. Program.4. Enterprise.Answer B38 An example of scope verification is:1. Reviewing the performance of an installed software module.2. Managing changes to the project schedule.3. Decomposing the WBS to a work package level.4. Performing a benefit-cost analysis to determine if we should proceed.Answer A39 What conflict resolution technique is a project manager using when he says, "I cannot deal with this issue now!"1. Problem solving2. Forcing3. Withdrawal4. CompromisingAnswer C40 Approved corrective action is an input to:1. scope control and scope verification.2. direct and manage project execution and integrated change control.3. develop project management plan and develop project charter.4. develop project management plan and schedule development.Answer B41 A group of related projects that are managed in a coordinated way that usually include an element of ongoing activity is called a:1. Major project.2. Project office.3. Program.4. Group of projects.Answer C42 To control the schedule, a project manager is reanalyzing the project to predict project duration. She does this by analyzing the sequence of activities with the least amount of scheduling flexibility. What technique is she using?1. Critical path method2. Flowchart3. Precedence diagramming4. Work breakdown structureAnswer A43 A project manager has assembled the project team, identified 56 risks on the project, determined what would trigger the risks, rated them on a risk rating matrix, tested their assumptions and assessed the quality of the data used. The team is continuing to move through the risk management process. What has the project manager forgotten to do?1. Simulation2. Risk mitigation3. Overall risk ranking for the project4. Involvement of other stakeholdersAnswer D44 Configuration management is:1. Used to ensure that the description of the project product is correct and complete.2. The creation of the work breakdown structure.3. The set of procedures developed to ensure that project design criteria are met.4. A mechanism to track budget and schedule variances.Answer C45 A rough order of magnitude estimate is made during which project management process group?1. Project planning2. Project closing3. Project executing4. Project initiatingAnswer D46 The breakdown structure the lowest level of the breakdown for the project manager is called the:1. Activity.2. Task.3. Work package.4. Cost account.Answer C。

Entertainment ***********************1.What kinds of movies do you like? (comedy)2.What are some good movies that you’ve seen? (Crazy Stone 、Home Alone)3.Do you think there is too much violence on TV and in movies? Why/Why not? (yes ,4.Should movies be cla ssified? (This means that children won’t be allowed towatch some movies that contain violence, sexual themes, etc).Yes because those movies are not good for the children's healthy.5.What kinds of books do you like? (youth novel)6.Should books be censored? Why/why not?(yes some books that containviolence,sexual themes are not good for teengeers)7.What fun things can people do for ¥0.00?(sports)8.What do you do in your spare time?(running and listenning to the music)9.What kind of movies do you dislike?(too much violence)10.W hat kind of music do you like?(hiphop rap)11.W hat games do you like?(sorry i don't like games)12.W hat do you think about computer games?(it's a waste of time)13.W hat do you think about soap operas?(it's ok. But it's for housewives)14.W hat sports do you like?(running)15.W hat magazines do you like?readersLove and Marriage ************1.Describe a perfect date.2.Do you think marriage is necessary why/why not?(yes,after we get married,wewill get the resposblity to care the family will)3.How did you meet your girl/boyfriend?What do you think about love on the Internet?it's dangerous and fools4.Does getting married mean losing your freedom?5.Is it okay for a couple to live together before getting married? Why/Why Not6.How long should a couple know each other before they get married?7.If your parents didn’t like your boy/girlfriend, what would you do?8.What qualities are important in a good husband/wife?9.What makes a happy marriage?10.I s it okay to date a person much older or younger than yourself? Why/Whynot?(i think it is all right , if two people love each other)11.W hat do you think about arranged marriages?12.W hat would you do if your husband/wife had an affair?13.W hat do you like to talk about on a date?14.W hat’s the best way to find a girl/boyfriend?15.W hy do you think dating is OK or Not OK while you are going to theuniversity ?Society ************************************1.Why do you think we should worry about the environment?What causes poverty? I think it is owe to the goverment i think all they say about helping the poor is just words!2.We cross the street where ?3.Do you think women are discriminated against? Why/Why Not?4.What do you think about the one child policy?5.Are illegal drugs a problem in China? Why/Why not?6.What can we do about pollution?7.What color is the light when we cross the street in a crosswalk ?8.Should the main goal of a company be to make money? Why/Why Not?9.Should the government help poor people? Why/Why Not?10.S hould rich people help poor people? Why/Why Not?11.W hat is life like for an unmarried mother?12.W hy are there so many wars?13.W e should walk on the sidewalk, not the street, why ?14.I s religion a good or bad thing? Why/Why Not?15.S hould rich countries help poor ones? Why/Why Not?16.W hat do you think about the death penalty for serious crimes?17.W hat do you think about beggars?English Grammar Comprehension ************** three parts of a complete sentence2.What is a syllable ?3.Tell me a 3 word complete sentence4.What does OAT ENEREGY NOW mean ?5.Tell me about your hometown6.Tell me about you major7.Tell me about your classes8.What is your best class at the university and why9.What is the worst class and why10.W hat don’t you like about school11.W hy do you like school12.T he sounds we make with our mouth to say a word are called what ?13.T ell me about the money problem in world14.T ell me about your happy time in life15.T ell me about your wedding16.T ell me about your familyOral Exam Topics1.How is college different to high school?2.Have you ever had, or would you like to have, a pet?3.How does your family usually celebrate Chinese New Year?4.Have computers improved our lives? Why/Why Not?5.What motivates you to study?6.What do you like about China?7.Would you like to own a car? Why or why not?8.In your opinion, what qualities are important in a friend?9.Should rich people help poor people? Why/why not?10.Who was your favorite teacher in high school, and why?11.When did you last go on a holiday? What was it like?12.If you hadn’t entered college, what job would you like to have?13.What kinds of books do you like?14.In what ways are you similar to, or different from, your parents?15.Is it important to look good? Why or why not?16.Should China continue its space programme? Why or why not?17.Do you agree with the saying, 先立业后成家?18.Is religion a good thing or a bad thing?19.What makes a happy marriage?20.What do you do in your spare time?21.What kind of movies do you dislike?22.What do you plan to do during the next vacation?1.If you could have any job in the world, what would you like to be? Why?2.Do you think it's fair for your boss to ask you to work overtime for no extrapay? Why or why not?3.If you are paid for your overtime, would you prefer to be paid in money or in "time off."4.Which of the following benefits is most important to you in a job and why?5.A high salary6.Good working conditions7.A boss you enjoy working for8.Co-workers you like9.Little or no overtime10.G ood opportunities for advancement11.T he opportunity to use the training and skills you have acquired12.A job near where you live13.T he opportunity to travel14.F lexible working hourso Are there any of these not important to you?o Are there any benefits not on the list that you would like to have?Suppose you are in charge of hiring a new employee for your firm. You have to decide between two persons. One is a person with many years of experience in a company very similar to yours who has only a high school education. The other person is a recent university graduate with a degree in a field closely related to your company's business. Which person would you choose?Most business in North America compensate their employees according to the "merit principle." Businesses in many other parts of the world have traditionally relied on seniority to determine how much pay and other benefits a worker should receive. Which do you think is the better system? What are the advantages and disadvantages of each?。

Middle Level Sample Questions(answer key at bottom)Writing Sample: (Choose between two creative prompts)Directions: Schools would like to get to know you better through a story you tell using one of the ideas below. Please choose the idea you find most interesting and write a story using the idea as your first sentence. Please select the topic you find most interesting and fill in the circle next to the topic you choose.Sample Topics:I looked into its eyes and suddenly...The classroom was empty.QuantitativeDirections: Following each problem in this section, there are five suggested answers. Work each problem, then look at the five suggested answers and decide which one is best.1. In a class of 25 students, 8 received a grade A on a math quiz. What percent of the students did not receive an A?(A) 8%(B) 25%(C) 32%(D) 68%(E) 78%2. A school reports a student to teacher ratio of 6:1. If there are 45 teachers in the school, how many students are there?(A) 51(B) 151(C) 225(D) 270(E) 2853. An elevator is on the first floor. It goes up 8 floors, then down 5 floors, and then up4 floors. What is the final position in terms of the first floor?(A) 3rd floor(B) 4th floor(C) 5th floor(D) 7th floor(E) 8th floorReading ComprehensionDirections: Read the passage carefully and then answer the questions about it. For each question, decide on the basis of the passage which one of the choices best answers the question.Little Jim was, for the time, Engine Number 36 and he was making the run between Syracuse and Rochester. He was fourteen minutes behind time, and the throttle was wide open. As a result, when he swung around the curve at the flower bed, a wheel of his cart destroyed a tulip. Number 36 slowed down at once and looked guiltily at his father, who was mowing the lawn. The doctor had his back to the accident, and hecontinued to pace slowly to and fro, pushing the mower.Jim dropped the handle of the cart. He looked at his father and at the broken flower. Finally, he went to the tulip and tried to stand it up, but it would only hang limply from his hand. Jim could not repair it. He looked again toward his father.4. According to the passage, Jim's father was a(A) farmer(B) doctor(C) gardener(D) train engineer(E) business executive5. Jim apparently thought that when his father saw the broken flower his reaction would be one of(A) fear(B) anger(C) curiosity(D) amusement(E) indifferenceVerbalSynonyms: Each of the following questions consists of one word followed by five words or phrases. You are to select the one word or phrase whose meaning is closest to the word in capital letters.6. APLOMB:(A) cunning(C) contortion(D) composure(E) commotion7. EGREGIOUS:(A) trivial(B) hidden(C) flagrant(D) fragrant(E) contagiousAnalogies: The following questions ask you to find relationships between words. For each question, select the answer choice that best completes the meaning of the sentence.8. Ember is to ignite as(A) dry is to towel(B) bark is to dog(C) hammer is to tool(D) water is to douse(E) cover is to blanket9. Translucent is to opaque as light is to(A) sun(B) dull(D) candle(E) darkness Answer Key1. (D) 68%2. (D) 2703. (E) 8th floor4. (B) doctor5. (B) anger6. (D) composure7. (C) flagrant8. (D) water is to douse9. (E) darkness。

AMC 8 Sample Questions (Test 2) -- 25 questions 40 minutes1.Mindy made three purchases for $1.98, $5.04 and $9.89. What was her total, to the nearest dollar?(A) $10 (B) $15 (C) $16 (D) $17 (E) $182.The letter T is formed by placing two 2 inch x 4 inch rectangles next to each other, as shown. Whatis the perimeter of the T, in inches?(A)12 (B) 16 (C) 20 (D) 22 (E) 243．Antonette gets 70% on a 10-problem test, 80% on a 20-problem test and 90% on a 30-problem test. If the three tests are combined into one 60-problem test, which percent is closest to her overall score?(A)40 (B) 77 (C) 80 (D) 83 (E) 874.Triangle ABC is an isosceles triangle with AB= BC. Point D is the midpoint of both BC and AE,and CE is 11 units long. Triangle ABD is congruent to triangle ECD. What is the length of BD?(A) 4 (B) 4.5 (C) 5 (D) 5.5 (E) 65. A box contains gold coins. If the coins are equally divided among six people, four coins are leftover. If the coins are equally divided among five people, three coins are left over. If the box holds the smallest number of coins that meets these two conditions, how many coins are left whenequally divided among seven people?(A)0 (B) 1 (C) 2 (D) 3 (E) 56.Elisa swims laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now shecan finish 12 laps in 24 minutes. By how many minutes has she improved her lap time?(A) 12(B) 34(C) 1 (D) 2 (E) 37.Initially, a spinner points west. Chenille moves it clockwise 214revolutions and thencounterclockwise 334revolutions. In what direction does the spinner point after the two moves?(A) north (B) east (C) south (D) west (E) northwest8.The table shows some of the results of a survey by radio station KAMC. What percentage of themales surveyed listen to the station?(A) 39 (B) 48 (C) 52 (D) 55 (E) 759.Jorge’s teacher asks him to plot all the ordered pairs (w, l) of positive integers for which w is thewidth and l is the length of a rectangle with area 12. What should his graph look like?10.Jeff rotates spinners P, Q and R and adds the resulting numbers. What is the probability that hissum is an odd number?(A)14(B) 13(C)12(D)23(E)3411.How many two-digit numbers have digits whose sum is a perfect square?(A) 13 (B) 16 (C) 17 (D) 18 (E) 1912. A singles tournament had six players. Each player played every other player only once, with noties. If Helen won 4 games, Ines won 3 games, Janet won 2 games, Kendra won 2 games and Lara won 2 games, how many games did Monica win?(A) 0 (B) 1 (C) 2 (D) 3 (E) 413.What is the minimum number of small squares that must be colored black so the large square hasdiagonal BD as a line of symmetry?(A) 1 (B) 2 (C) 3 (D) 4 (E) 514. A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?(A) 24 (B) 25 (C) 36 (D) 48 (E) 6415.Soda is sold in packs of 6, 12 and 24 cans. What is the minimum number of packs needed to buyexactly 90 cans of soda?(A) 4 (B) 5 (C) 6 (D) 8 (E) 1516.Bill walks 12mile south, then 34mile east, and finally12mile south. How many miles is he, in adirect line, from his starting point?(A) 1 (B) 114(C) 112(D) 134(E) 217.Joe had walked half way from home to school when he realized he was late. He ran the rest of theway to school. He ran 3 times as fast as he walked. Joe took 6 minutes to walk half way to school.How many minutes did it take Joe to get from home to school?(A) 7 (B) 7.3 (C) 7.7 (D) 8 (E) 8.318.Big Al, the ape, ate 100 bananas from May 1 through May 5.Each day he ate six more bananasthan on the previous day. How many bananas did Big Al eat on May 5?(A) 20 (B) 22 (C) 30 (D) 32 (E) 3419.The Little Twelve Basketball Conference has two divisions, with six teams in each division. Eachteam plays each of the other teams in its own division twice and every team in the other division once. How many conference games are scheduled?(A) 80 (B) 96 (C) 100 (D) 108 (E) 19220. A five-legged Martian has a drawer full of socks, each of which is red, white or blue, and there areat least five socks of each color. The Martian pulls out one sock at a time without looking. How many socks must the Martian remove from the drawer to be certain there will be 5 socks of the same color?(A) 6 (B) 9 (C) 12 (D) 13 (E) 1521.What is the perimeter of trapezoid ABCD?(A) 180 (B) 188 (C) 196 (D) 200 (E) 20422.On a map, a 12-centimeter length represents 72 kilometers. How many kilometers does a17-centimeter length represent?(A) 6 (B)102 (C)204 (D)864 (E)122423.Aunt Anna is 42 years old. Caitlan is 5 years younger that Briana, and Briana is half as old as AuntAnna. How old is Caitlan?(A) 15 (B)16 (C)17 (D)21 (E)3724.Twelve friends met for dinner at Oscar's Overstuffed Oyster House, and each ordered one meal.The portions were so large, there was enough food for 18 people. If they share, how many meals should they have ordered to have just enough food for the 12 of them?(A) 8 (B)9 (C)10 (D)15 (E)1825.How many different combinations of $5 bills and $2 bills can be used to make a total of $17?Order does not matter in this problem.(A) 2 (B)3 (C)4 (D)5 (E)6。

AMC 8 Sample Questions (Test 1) -- 25 questions 40 minutes1.If February is a month that contains Friday the 13th, what day of the week is February 1?(A) Sunday (B) Monday (C) Wednesday (D) Thursday (E) Saturday2. The average age of the 6 people in Room A is 40. The average age of the 4 people in RoomB is 25. If the two groups are combined, what is the average age of all the people?(A) 32.5 (B) 33 (C) 33.5 (D) 34 (E) 352.Each of the 39 students in the eighth grade at Lincoln Middle School has one dog or one cat orboth a dog and a cat. Twenty students have a dog and 26 students have a cat. How many students have both a dog and a cat?(A) 7 (B) 13 (C) 19 (D) 39 (E) 464. Ms. Osborne asks each student in her class to draw a rectangle with integer side lengths and a perimeter of 50 units. All of her students calculate the area of the rectangle they draw. What is the difference between the largest and smallest possible areas of the rectangles?(A) 76 (B) 120 (C) 128 (D) 132 (E) 136and 3n three-digit whole numbers?5. For how many positive integer values of n are both n3(A) 12 (B) 21 (C) 27 (D) 33 (E) 346. Susan had $50 to spend at the carnival. She spent $12 on food and twice as much on rides. How many dollars did she have left to spend?(A) 12 (B) 14 (C) 26 (D) 38 (E) 507. In the figure, the outer equilateral triangle has area 16, the inner equilateral triangle has area 1, and the three trapezoids are congruent. What is the area of one of the trapezoids?(A) 3 (B) 4 (C) 5 (D) 6 (E) 78. In the figure, what is the ratio of the area of the gray squares to the area of the white squares?(A) 3 : 10 (B) 3 : 8 (C) 3 : 7 (D) 3 : 5 (E) 1 : 19. If 35=M45=60N, what is M + N ?(A) 27 (B) 29 (C) 45 (D) 105 (E) 12710. In 2005 Tycoon Tammy invested $100 for two years. During the first year her investment suffereda 15% loss, but during the second year the remaining investment showed a 20% gain. Over thetwo-year period, what was the change in Tammy’s investment?(A) 5% loss (B) 2% loss (C) 1% gain (D) 2% gain (E) 5% gain11. Mr. Harman needs to know the combined weight in pounds of three boxes he wants to mail. However, the only available scale is not accurate for weights less than 100 pounds or more than 150 pounds. So the boxes are weighed in pairs in every possible way. The results are 122, 125 and 127 pounds. What is the combined weight in pounds of the three boxes?(A) 160 (B) 170 (C) 187 (D) 195 (E) 35412. Jerry cuts a wedge from a 6-cm cylinder of bologna as shown by the dashed curve. Which answer choice is closest to the volume of his wedge in cubic centimeters?(A) 48 (B) 75 (C) 151 (D) 192 (E) 60313. Theresa’s parents have agreed to buy her tickets to see her favorite band if she spends an average of 10 hours per week helping around the house for 6 weeks. For the first 5 weeks she helps around the house for 8, 11, 7, 12 and 10 hours. How many hours must she work during the final week to earn the tickets?(A) 9 (B) 10 (C) 11 (D) 12 (E) 1314. A haunted house has six windows. In how many ways can Georgie the Ghost enter the house by one window and leave by a different window?(A) 12 (B) 15 (C) 18 (D) 30 (E) 3615. The average cost of a long-distance call in the USA in 1985was 41 cents per minute, and the average cost of a longdistance call in the USA in 2005 was 7 cents per minute. Find the approximate percent decrease in the cost per minute of a long-distance call.(A) 7 (B) 17 (C) 34 (D) 41 (E) 8016. The average age of 5 people in a room is 30 years. An 18-year-old person leaves the room. What is the average age of the four remaining people?(A) 25 (B) 26 (C) 29 (D) 33 (E) 3617. To complete the grid below, each of the digits 1 through 4 must occur once in each row and once in each column. What number will occupy the lower right-hand square?(A) 1 (B) 2 (C) 3 (D) 4 (E) cannot be determined18. Sets A and B, shown in the Venn diagram, have the same number of elements. Their union has 2007 elements and their intersection has 1001 elements. Find the number of elements in A .(A) 503 (B) 1006 (C) 1504 (D) 1507 (E) 151019. A mixture of 30 liters of paint is 25% red tint, 30% yellow tint and 45% water. Five liters of yellow tint are added to the original mixture. What is the percent of yellow tint in the new mixture?(A) 25 (B) 35 (C) 40 (D) 45 (E) 5020. Two cards are dealt from a deck of four red cards labeled A, B, C, D and four green cards labeled A, B, C, D. A winning pair is two of the same color or two of the same letter. What is the probability of drawing a winning pair?(A)27(B) 38(C)12(D)47(E)5821. A lemming sits at a corner of a square with side length 10 meters. The lemming runs 6.2 meters along a diagonal toward the opposite corner. It stops, makes a 90◦right turn and runs 2 more meters.A scientist measures the shortest distance between the lemming and each side of the square. What is the average of these four distances in meters?(A) 2 (B) 4.5 (C) 5 (D) 6.2 (E) 722. What is the sum of the two smallest prime factors of 250?(A)2 (B) 5 (C) 7 (D) 10 (E) 1223. In trapezoid ABCD, AD is perpendicular to DC, AD=AB=3, and DC=6. In addition, E is on DC, and BE is parallel to AD. Find the area of △BEC.(A)3 (B) 4.5 (C) 6 (D) 9 (E) 1824. The base of isosceles △ABC is 24 and its area is 60. What is the length of one of the congruent sides?(A)5 (B) 8 (C) 13 (D) 14 (E) 1525. A bag contains four pieces of paper, each labeled with one of the digits 1, 2, 3, or 4, with no repeats. Three of these pieces are drawn one at a time without replacement, to construct a three-digit number, what is the probability that the three-digit number is a multiple of 3?(A)14(B) 13(C)12(D)23(E)34。

Exam 1 possible questions*I WILL ASK YOU 5 OF THESE QUESTIONS ON THE EXAM*1. What is your greatest strength?你的最大的强处？learning new things.老子学习新东西的本事超强的。

2. What is your greatest weakness?你的最大的弱点？can’t make a decision at once我有时候不能很快地作出决定，会思前想后一段时间。

3.Tell me about yourself.跟老丝我港一港你自己吼不吼啊你他妈准备保送的时候有背过自我介绍的是吧爸爸爸爸……自己拟腹稿！这个我帮不了（也不想帮）你。

4.What are your salary expectations?你对薪水的期待。

according to the articles of association.我会资词按照公司基本法（公司规定、公司章程）来。

5.How do you handle stress and pressure?你怎么面对压力的啊？relax myselftry my best to keep calm & get over it.放松、保持冷静，克服紧脏（——我就是这么棒！6.Describe a difficult work situation / project and how you overcame it.介绍一个自己在工作上经历过的困难情景然后描述你解决困境的过程？呃……脑阔疼…这是要你介绍经验的啊，不得不写长一点了。

F**k这个我短不来I still remember the hardship that one of my group mate just quit the team, give up his work and left a great mess for us. At that time, me and my partners just try our best and ask our leaders in charge for help. Finally, we make it on time.吾犹记队友弃吾等而去空留狼藉一片。

Section1The first section of the SLEP test measures ability to understand spoken English and is about40minutes long.It is divided into four parts,with four different types of questions.Part AFor the first type of question,the student must match one of four recorded sentences with a picture in the test book.The sentences are spoken only once and are not printed in the test book.This part contains items dealing with correct recognition of minimal-pair contrasts,juncture,stress,sound clusters,tense,prepositions,and vocabulary.Sample QuestionsNote:Pictures are for illustrative purposesonly.Actual pictures in the test book are largerthan the samples in this manual.1.On tape:Look at the picture marked number1.On tape:(A)The boy is typing on the keyboard.(B)No one is looking at the computer.(C)One of the girls is pointing to the screen.(D)They’re putting a computer into a box.12.On tape:Look at the picture marked number2.On tape:(A)They are taking off their sandals.(B)They are putting hats in a box.(C)They are dancing in a circle.(D)They are standing against the wall.2 3.On tape:Look at the picture marked number3.On tape:(A)She’s looking out of the car window.(B)She’s driving on the highway.(C)She’s opening the car door.(D)She’s rolling up the window.3Look at the picture marked number4.On tape:(A)The flowers are growing outside.(B)The table has been cleared off.(C)Someone has eaten all the cake.(D)The table is filled with cakes and pies.4Part BThese questions approximate the type of dictation exercises used frequently in English language classes:the student must match a sentence printed in the test book with a sentence heard on the tape.The questions focus on the relationship between structure and meaning.Sample Questions1.On tape:The taller plants keep growing all summer long.In the test book:(A)By the summer those plants will be much taller.(B)Those tall plants should be cut back when it’s warm.(C)Once it’s cold the plants won’t grow any taller.(D)The taller plants keep growing all summer long.2.On tape:Is it too warm to wear a coat?In the test book:(A)Aren’t you going to bring your coat?(B)Why didn’t I bring my coat?(C)Doesn’t that coat look warm?(D)Is it too warm to wear a coat?3.On tape:Jorge can’t come over because he has a piano lesson.In the test book:(A)Jorge can’t come over because he has a piano lesson.(B)Jorge comes over less often since he started playing the piano.(C)Jorge played the piano when he came over.(D)Jorge’s piano lesson is over,but he’s still not coming over.Many people had already left the beach before the storm.In the test book:(A)Few people were on the beach during the storm.(B)The storm did a lot of damage along the beach.(C)Many people had already left the beach before the storm.(D)Most people did not think there would be a storm.5.On tape:You should have allowed more time to finish that book.In the test book:(A)You will have to read that book soon.(B)You ought to finish that book on time.(C)You should have allowed more time to finish that book.(D)You could ask someone if they saw that book.Part CThe questions in this part are based on conversations between students or announcements made by teachers or adminis-trators in a school.The questions are given before the talks begin,allowing students to direct their attention to listening for the correct answer.The questions and answers are printed in the test book.For each question,students must choose one of four answers.Sample Questions1.On tape:(Narrator)Listen for the answer to the following question.What did the girl think the homework assignment was for math class?Here is the conversation.(Boy)Did you figure out the answer to problem number ten in the math homework?(Girl)Number ten?I thought we were only supposed to do the first eight problems.(Boy)That’s what the teacher said at the beginning of class,but right before the bell rang she changed the assignment to the first twelve problems.(Narrator)What did the girl think the homework assignment was for math class?In the test book:What did the girl think the homework assignment was for math class?(A)Only problem number10(B)Problem numbers1through8(C)Problem numbers1through10(D)Problem numbers1through12(Narrator)Listen for the answer to the following question.Which bus will not be running this afternoon?Here is the announcement.(Man)Please excuse this interruption.There has been a change in the school bus routes this afternoon.The number five bus has a flat tire,so all students who normally take the number five bus will take thenumber two bus today.All those students who are changing to the number five bus must report to theoffice sometime during periods four,five,or six to sign a change-of-bus-route form so that the busdriver will know how many students will be on the bus.(Narrator)Which bus will not be running this afternoon?In the test book:Which bus will not be running this afternoon?(A)Number2(B)Number3(C)Number5(D)Number63.On tape:(Narrator)Listen for the answer to the following question.Where is Linda’s new job?Here is the conversation.(Boy)Hey,Linda,I hear you got a job at the music store in the mall.Sounds like fun.(Girl)Actually,I was offereda job a the music store.I accepteda job as a teller at thebank.(Boy)Well,that makes sense.You’re planning to study finance in college,right?(Girl)Exactly.I thought it would be better to work at a place now that would prepare me for what I want to do in the future.(Narrator)Where is Linda’s new job?In the test book:Where is Linda’s new job?(A)At a music store(B)At a restaurant(C)At a college(D)At a bankPart DThe questions in this part are based on conversations recorded by American high school students that represent typical secondary school situations.The conversations take place in various parts of a school and deal with events that typically occur in each location.For each recorded question,the student must choose one of four answers printed in the test book.Sample Questions1.On tape:(Sam)Hi,Luisa.(Luisa)Oh,Sam.Hi.I missed you this morning in history class.Where were you?(Sam)That’s what I wanted to talk to you about.You see,my homeroom teacher had to pack up a bunch of science materials from our unit on electricity,so she asked me stick around and help her.(Narrator)Why did Sam miss history class?In the test book:(A)He was sick.(B)He missed the bus.(C)He was helping a teacher.(D)He was doing a science experiment.2.On tape:(Luisa)Did Mr.Jackson say it was okay to miss his class?(Sam)Yeah—my homeroom teacher called him and asked if he minded.He said it was okay with him if it was okay with me.(Luisa)Well,all we did was take notes about the Industrial Revolution.(Sam)I know.That’s why I was looking for you.I wanted to see if I could look over your notes tonight.I can bring them back tomorrow.(Narrator)Why was Sam looking for Luisa?In the test book:(A)To give her a note.(B)To return her science book.(C)To ask to borrow her notes.(D)To see if Mr.Jackson was upset.3.On tape:(Luisa)Oh,sure.That’s not a problem.I have my notebook right here in my...uh oh.(Sam)What’s wrong?(Luisa)Well,I thoughtmy notebook was in my backpack,but I must have left it inMr.Jackson’s room.I’d better go get it.(Sam)I’ll go with you.(Narrator)Where are Sam and Luisa going?In the test book:(A)To the lunchroom.(B)To the history teacher’s room.(C)To the library.(D)To Luisa’s locker.Section2The second section of the test measures ability to understand written English and is40minutes long.The questions cover grammar,vocabulary,and reading comprehension.There are four parts to Section2.Part AFor each question in this part,the student must match the reaction of one of four characters in a cartoon witha printed sentence.Sample Questions1.The beach is a perfect place for a relaxing vacation.2.I’ll finally have a chance to finish painting the garage.3.I’m looking forward to catching up on my reading.4.I hope we stay at a campground where I can go horseback riding.5.I can’t wait to try out that new ride at the amusement park.For the questions in this part,the student must match a printed sentence with one of four dr awings.The particular focus of this item type is the use of prepositions,pronouns,adverbs,and numbers.Sample Questions1.One bird is sitting in a tree but two aren’t.A B C D2.The bigger circle is in the lower left corner.A B C D3.She is reaching up to get a box off the shelf.A B C D4.They headed for shelter when it started to rain.A B C DThis part of Section2contains two types of questions.In one,the student must complete passages by selecting the appropriate words or phrases from a set of four choices printed at intervals in the passage.Sample Passage and Questions1.Most animals (A)live(B)they live(C)are living(D)that livein the desert do not take in water from open sourceslike lakes or rivers.Some of these animals may never even come upon any type of open2.water,(A)so(B)despite(C)which(D)whythey have adopted other ways to obtain it.Some desert-dwelling3.toads,for example,can take in (A)sand(B)water(C)heat(D)foodfrom dew-soaked soil directly through(A)its(B)their4.(C)his(D)one’sskin.Another way some desert animals deal with a lack of water is to5.drink (A)as much as(B)as many as(C)too much(D)so much thatpossible when they find water in large quantities.For6.instance,after drinking all they can hold,some camels can (A)to survive(B)have survived(C)surviving(D)surviveformore than two weeks in the desert without any more water.In the second type of question,students must answer questions about the passage ab ove for which they supplied the missing words or phrases.Sample Questions7.What is the main topic of the passage?(A)Plants that live in the desert(B)Types of desert camels(C)How to make freshwater(D)Surviving with little water8.The word“adopted”in line2is closest in meaning to(A)attracted(B)developed(C)lost(D)asked about9.What helps camels survive in the desert?(A)They drink a lot of water at one time when they find it.(B)They rest for two weeks before trips in the desert.(C)They travel early in the morning,when they can soak up water from dew.(D)The people who travel with camels pack large amounts of water.Part DIn this part of Section2,the student must read a short passage and answer questions about it.Sample Passage and QuestionsWe stopped to buy gas and to stretch our legs.We had left home early that morning and driven for what seemed like years.Now it was noon and the sun overhead was oppressive.The baby was crying.I wondered if we would ever reach our grandmother’s house.Father bought us bottles of something cool to drink.As we sat sipping our drinks beneath a shady tree,he began to tell us a story.1.What time did the family stop?(A)In the morning(B)At noon(C)In the afternoon(D)At night2.Where was the family going?(A)To the gas station(B)To visit their grandmother(C)Home from the store(D)Back from the park3.What was the weather like?(A)Cold(B)Rainy(C)Windy(D)Hot4.Why does the writer mention“years”(line2)?(A)The family has been driving for a long time.(B)The father tells his story slowly.(C)The grandmother is very old.(D)The writer does not remember what happened.5.When did the father tell the story?(A)As he was walking(B)After he bought the drinks(C)Before the family sat down(D)When the family returned to the carAnswer Key for Sample Questions on Pages7-15 Section1Part A Part B Part C Part D1.C2.D3.A4.D Section2Part A1.B 1.C2.C 2.C3.D 3.B Part C Part D1.B2.C3.B4.D5.A1.D2.D3.A4.C5.CPart B1.B2.C3.A4.D1.D 1.B2.A 2.B3.B 3.D4.B 4.A5.A 5.B6.D7.D8.B9.A。

Sample Questions College InterviewTell me about your experiences at your high school. Is there a particular experience you had there that stands out?What would you change about your school if you had the power to do so?What might your teachers say is your greatest strength as a person and as a student, and what are your weaknesses in each area?What has been the most important person or event in your own self-development? What magazines and newspapers do you like to read?What sort of things do you like to do outside of school?What books or articles have you read in the last year that have had special meaning for you?What do you want to do in the future?If you had a time machine and could go back anytime and change history, what time period would you go to and what would you do?Tell me about your family.When you practice answering these questions with a friend, ask your friend to fill out the form below so that you know what impression you gave.Evaluation of non-verbal signalsGREAGOOD POOR COMMENTSTEye contactPostureSmiledDidn't fidgetVoice volumeVoice speedGrammarConfidenceSincerityEnthusiasmList 2What do you want out of college?Where do you see yourself in ten years?What are you doing to prepare for college?What accomplishment are you most proud of?Give me three characteristics that describe you.Who is your favorite teacher and why?What is the most important thing you do in your spare time?Who is your favorite author?How do you manage your time?Tell me about someone who has influenced you in your life.List 3Tell me about yourself.What are your greatest strengths?What is your greatest weakness?If you could be any animal what would you be? Why?If l asked your best friend to describe you, what would I hear?What sort of things do you and your friends like to do outside of school?What's the most difficult situation you've faced?If you could have lunch with anyone in the world, who would it be?Have you ever thought of not goals to college and of what you might choose to do instead?What is your favorite subject at school?List 4Tell me what your favorite subjects are at school.What has been your greatest experience in high school?Are your grades an accurate reflection of your potential?What events or experiences in your life have been most crucial to you?Tell me about someone you find intellectually challenging.What would you do to make the world a better place?What do you like to do outside of school?Do you like living in (place where student lives) Pittsburgh?If you could visit anywhere in the world, where would you go?What do you expect to get out of a college education?List 5Tell me about your interests.What are some of your unique qualities?Where do you see yourself in ten years?If you could solve a major world problem, how would you go about doing it? Name some challenges you’ve faced in your life.What are you interested in studying?If you were to stress one thing about yourself to a college, what would it be? What is your biggest weakness?What has been your greatest experience in high school?How would your friends describe you?List 6Tell me about yourself.What has been your greatest experience in high school?Would you rather write a report or give a verbal report? Why?What's the most difficult situation you've faced?What did you do last summer?Describe your best friend.What sort of books do you like to read?What do you consider to be your greatest achievement in life?Suppose you had to imagine yourself in a picture, what would the picture be like?What do you want out of college?College interview tipsThe interview is not an adversarial situation. Admissions folks want to like you, have you like them and like their school. Treat the interview as a conversation. Don’t just give yes and no answers. It’s O.K. to ask questions. It shows interest in the college and what the admission officer has to say. Have a positive attitude. Smile and maintain eye contact. It is all right to take a moment to think about an answer before replying. Some people feel uncomfortable about talking of their achievements but it is not boastful to talk about them. Highlight the good things from your academic past and put a positive spin on your background. Never memorize your answers by rote. Rehearse for the interview with family, friends or a coach so that you can answer in a spontaneous natural fashion and let your personality shine through.Practice your handshake. When you meet the interviewer you should introduce yourself, shake hands and smile. Make sure that you have a good handshake by getting feedback about your handshake from relatives and friends.Keep up on current events. Read a newspaper to keep informed. The interviewer may ask you your opinion about a current event.Never refuse an interview. Your refusal will usually be noted.DON’T EVER BRING A PARENT INTO THE INTERVIEW. It will make you look as if you can’t think or listen on your own.Do your research about the college. Not looking as if you are interested in the college is a huge mistake and if you haven’t done any research you will look disinterested. Youwill almost certainly be asked why you are interested in the college and what sparked your interest i n it. Do not say anything negative about the college. Never tell a school it’s your safety.Prepare some questions to ask the interviewer. Ask questions that show your interest in the college. Have them prepared beforehand. Don’t ask questions that could e asily be answered by looking at the college brochures, course catalogue or their website because that will make you look as if you have not done your homework.Prepare for common interview questions. Prepare by thinking about your answers to common interview questions and by rehearsing for the interview with family, friends or an interview coach. Do not memorize these answers by rote.Review your essay because you might be asked questions about it in the interview to break the ice.Wear what you would wear to dinner at a good restaurant. Do not wear jeans or baseball caps. Avoid lots of jewelry, makeup and perfume. Don’t chew gum! Don’t swear!Take any documents you might need such as test scores and a copy of your high school transcript.Arrive on time! Plan to be there waiting 15 minutes before the interview.Make eye contact with the interviewer. A surprising number of candidates do not look the interviewer in the eye!Regard the interview as a CONVERSATION. Making it into a conversation means feeling free to ask the interviewer something that relates to the answer you have just given. Example: If an interviewer asks, "Why did you choose Florida University?" reply to her question and then say: "What do you think draws students here?" This sort of question exchange builds rapport because you are engaging the interviewer in a conversation instead of just waiting for the interviewer to ask you the next question on the list.Don’t try and sneak test scores into the conversation. One of the most boring and predictable things you can do in an interview is try to sneak in your SAT scores. Some students will use any and every annoying tactic to get in a mention of how great their scores were. It is very irritating to the interviewer when candidates try to contrive their answers so that their test scores can be mentioned. It sounds false and makes the interviewer feel as if the candidate is not interested in having a real conversation. Always follow up with a thank you note to the interviewer. After you leave the interview, jot down something that you discussed so that you can mention it later in the thank you letter.。

These are sample questions to give you an idea of what kinds of questions I will be asking in the final exam. I may or may not use these questions.Week4：1.Have you ever borrowed something from someone and never gave it back?2.What kinds of things would you lend and not lend?3.If you borrow from a bank, would you like a high or low interest rate?4.What are you an expert at?5.What are some major events that can change your life?6.Did your parents ever lecture you about something?7.What kinds of skills require a lot of intellect?8.Whichtasks do you think are tedious?9.When do you approximately go to bed?10.Have you registered for next semester’s classes yet?11.What are some things that require a lot of arithmetic?12.What kind of research will you do in your graduate studies?13.What are laboratories used for?14.What kinds of information have you analyzed?15.Do you use laundry detergent?16.What is one thing in your past that you would like to modify and why?17.What is one thing you were reluctant in doing, but still did anyway?18.Can you describe some things that make your life convenient?19.Would you consider yourself a rational person?20.Which institutions are you a part of?Week 5:1.Would you ever like to meet your ancestors?2.What do you think the younger generations will be obsessed with next?3.Should you be cautious with your bank account number?4.Do you enjoy the announcements on the news?5.Who is the authority figure in your family?6.Do you have any siblings? If yes, can you describe them to me? If no, would youlike to have siblings?7.What are some things your parents are firm about?8.If you could be exceptional at one thing, what would it be?9.What are some things you would like to invest in?10.Have you ever felt clumsy when you were doing something?11.How will you adapt if you lived in a foreign country?12.Why do you think many wealthy families spoil their children?13.Did your family migrate anywhere? If so, where?14.Did your family immigrate anywhere? If so, where?15.What are some things you are lousy at?16.Would you ever like to be a prodigy? Why or why not?17.What is a situation you have to be prudent in?18.Which century are we currently in?19.Can you describe an instance when your parents were stern with you?20.Among your friends and family, who is the most reliable and why?Week 6:1.Do you think fast food is nutritious?2.Do you think organic food is healthy?3.Do you want to eat artificial food?4.Do you think street food in China is sanitary?5.I like eating bland food. How about you?6.What is the diet of an average Chinese person?7.What happens to you if you eat spoiled food?8.What kinds of herbs do you like?9.Do you like to put condiments on your hot dogs? If so, what kinds of condiments? If not, why?10.If you go to a nice restaurant, which appetizers do you order?11.How do you preserve your food when you are home with your family?12.What do you do to fruit that has pesticides on it?13.Do you or someone you know have any allergies? If so, what kind of allergy?14.Can you describe to me the most scrumptious meal of your life?15.Do you like to put dressing on your salad?16.Which things cause your mouth to salivate?17.Is glass edible?18.Can you afford a car?19.If you don’t get enough nutrients from your diet, how will you supplement your diet?20.Do you usually like to give complimentary remarks to your peers?Week 7:1.When are you usually sarcastic?2.Which sequels do you like?3.Do you think it is interesting to watch a prequel? Why?4.Is it good to be always sincere?5.What are some of your mandatory assignments for school?6.What do you like to be creative in?7.Have you ever met a celebrity? If so, who? If not, who do you want to meet and why?8.Can you give me an example of an exaggeration?9.Do you like it when the weather changes dramatically?10.What are some courteous things you have done?Week 8:1.When have you felt exuberant?2.If you are working in a company, how will you treat your associates?3.What distresses you the most?4.Have you ever felt isolated?5.What are some things you are indifferent about?6.Have you ever nonchalantly taken a test?7.What are you obsessed about?8.When have you felt dejected?9.When do you think the weather looks sinister?10.When do you feel pity?Week 9:1.Where did you travel to and what kinds of souvenirs did you bring home?2.Which places did you go sightseeing?3.Have you ever been on an expedition? If not, would you like to?4.Why would the government quarantine certain people?5.Do you appreciate your parents or take them for granted?6.In your childhood recollections, when were you the most exuberant?7.What kinds of things would you make an appointment for?8.What do you think will potentially happen next year at school?9.What is the most splendid thing you ever saw?10.In your daily life, what kinds of things are you lacking?11.Have you ever been imprisoned before?12.If you travel to a foreign country, are you scared of being kidnapped?13.When you were a child, who escorted you to school?14.Do you think I am intimidating?15.When you write an essay, should you thoroughly check for any errors?16.What do you think it feels like to be taken hostage?17.What have you pleaded with your parents for?18.If a stranger is approaching you, what would you do?19.If you went abroad to study in the U.S., what would you do so that you won’t be deported?20.Do you like long layovers?Week 10:1.What kinds of workouts are excruciating for you?2.Do you think it is good to relentlessly study for ten hours every day?3.Have you ever ridiculed someone? If yes, do you regret it?4.What are some bad driving conditions?5.When are you usually drenched in sweat?6.What should you do when you feel dehydrated?7.If you sweat profusely, do you need to hydrate?8.Have you ever devoured your food? If yes, why?9.If you do three hundred squats, where will you feel sore?10.When do you usually feel exhausted?11.Is your body flexible? Do you think being flexible is good or bad? Why?12.When do you usually feel nauseous?13.Is it good to stretch your body before a workout?14.When you are running for a long time, should you maintain a steady pace?15.Are you good at sprinting?16.Do you think it will be hard for you to transition from college to work?17.Is everything steady when you are experiencing an earthquake?18.Have you ever been in great agony?19.What is a typical day for a college student in SWUFE?20.Do you think repetitive pronunciation exercises are helpful for you when learning English?Week 11:1.Have you ever amended an essay?2.If you have children, will you be lenient with them?3.Do you like to participate in aggressive sports?4.Have you ever done something intuitively?5.What do you think will potentially happen to you if China was in a recession?6.Have you ever assembled something together?7.If you were an American citizen, would you elect Obama as President?8.If you were an American citizen, would you be interested in being a Presidential candidate?9.Would you help a Presidential candidate with their campaign?10.Have you ever revolted against your parents? If not, in which situation would you revolt against them?11.Do you think you are versatile? Can you give me an example?12.If you had children, would you constantly supervise your children?13.What are some things that motivate you?14.When you work on a project, do you like to collaborate with others?15.Do you wish you had a high salary?16.What would you put in your résumé?17.Would you like to be the employer or the employee? Why?18.What kind of compensation will you ask if a stranger accidentally crashed into you with their bike?19.How will you ask for a job promotion?20.Do you think taking a short nap during the day will make you more efficient at work?。

Financial Risk Manager(FRM®) Examination Sample QuestionsPART IFinancial Risk Manager Examination (FRM®) Sample QuestionsFinancial Markets and Products1.When a stock pays a dividend, what happens to the prices of an American call option and an Americanput option?a.Both option values increase.b.The call option’s value increases and the put option’s value decreases.c.The call option’s value decreases and the put option’s value increases.d.Both option values decrease.Answer: cExplanation:American call and put options allow for early exercise. Cash dividends affect option prices, because they affect the underlying stock price. Since the stock price drops by the amount of the dividend on the ex-divi-dend date, the call option’s value decreases as well. Correspondingly, the put option’s value increases if the stock price decreases.Topic:Financial Markets and ProductsSubtopic:American options, effects of dividends, early exerciseAIMS: Discuss the effects dividends have on the put‐call parity, the bounds of put and call option prices, and on the early exercise feature of American optionsReference: Hull, Options, Futures, and Other Derivatives, 7th Edition, Chapter 9Financial Risk Manager Examination (FRM®) Sample Questions2.Consider an investor with an equity portfolio of USD 50 million. The portfolio beta relative to the S&P 500 is2.2. The investor has bearish expectations for the next couple of months and wishes to reduce the systematicrisk in her portfolio such that the portfolio beta becomes 1.5. The S&P 500 futures price is USD 1,250 and the multiplier is 250. Determine the number of futures contracts that she needs to buy or sell to accomplish this:a.Sell 112 futures contractsb.Sell 352 futures contractsc.Buy 112 futures contractsd.Buy 352 futures contractsAnswer: aExplanation:The proper trade to accomplish the investor’s objective is to:short the number of contracts given by:(β– β*) x (P/F) = number of futures contracts to be sold(2.2 – 1.5) x [50,000,000/(1250 x 250)] = 112β: current betaβ* : target betaP: portfolio valueF: futures priceTopic:Financial Markets and ProductsSubtopic:Minimum Variance Hedge RatiosAIMS:Define, compute and interpret the minimum variance hedge ratio and hedge effectiveness. Define, compute and interpret the optimal number of futures contracts needed to hedge an exposure, including a “tailing the hedge”adjustmentReference: John Hull, Options, Futures, and Other Derivatives, 7th Edition(Pearson, 2009), Chapter 3Financial Risk Manager Examination (FRM®) Sample QuestionsFoundations of Risk Management1. A high net worth investor is monitoring the performance of an index tracking fund in which she has invested.The performance figures of the fund and the benchmark portfolio are summarized in the table below:Year Benchmark Return Fund Return20059.00% 1.00%20067.00% 3.00%20077.00% 5.00%2008 5.00% 4.00%2009 2.00% 1.50%What is the tracking error of the fund over this period?a.0.09%b. 1.10%c. 3.05%d. 4.09%Answer: cExplanation:Relative risk measures risk relative to a benchmark index, and measures it in terms of tracking error or deviation from the index.We need to calculate the standard deviation (square root of the variance) of the series:{0.08, 0.04, 0.02, 0.01, 0.005}.Perform the calculation by computing the difference of each data point from the mean, square the result of each, take the average of those values, and then take the square root.This is equal to 3.05%.Topic:Foundations of Risk ManagementSubtopic: Tracking ErrorAIMS:Compute and interpret tracking error, the information ratio, and the Sortino ratioReference: Noel Amenc and Veronique Le Sourd, Portfolio Theory and Performance Analysis(John Wiley, 2003), Chapter 4—The Capital Asset Pricing Model and Its Application to Performance MeasurementFinancial Risk Manager Examination (FRM®) Sample QuestionsQuantitative Analysis1.SunStar is a mutual fund with a stated objective of controlling volatility, as measured by the standarddeviation of monthly returns. Given the information below, you are asked to test the hypothesis that the volatility of SunStar’s returns is equal to 5%.Mean Monthly Return 2.5%Monthly Standard Deviation 4.9%Number of Observations30T-tabledf\p0.400.250.100.050.0250.010.0050.0005260.2559550.684043 1.314972 1.705618 2.05553 2.47863 2.77871 3.7066270.2558580.683685 1.313703 1.703288 2.05183 2.47266 2.77068 3.6896280.2557680.683353 1.312527 1.701131 2.04841 2.46714 2.76326 3.6739290.2556840.683044 1.311434 1.699127 2.04523 2.46202 2.75639 3.6594300.2556050.682756 1.310415 1.697261 2.04227 2.45726 2.75000 3.6460Chi-Square Tabledf\ 0.990 0.975 0.950 0.900 0.100 0.050 0.025 0.010 0.005 area2612.1981513.8439015.3791617.2918835.5631738.8851441.9231745.6416848.28988 2712.8785014.5733816.1514018.1139036.7412240.1132743.1945146.9629449.64492 2813.5647115.3078616.9278818.9392437.9159241.3371444.4607948.2782450.99338 2914.2564516.0470717.7083719.7677439.0874742.5569745.7222949.5878852.33562 3014.9534616.7907718.4926620.5992340.2560243.7729746.9792450.8921853.67196 What is the correct test to be used and what is the correct conclusion at the 5% level of significance?a.Chi-Square test; reject the hypothesis that volatility is 5%.b.Chi-Square test; do not reject the hypothesis that volatility is 5%.c.t-test; reject the hypothesis that volatility is 5%.d.t-test; do not reject the hypothesis that volatility is 5%.Answer: bFinancial Risk Manager Examination (FRM®) Sample QuestionsExplanation:Since you are trying to test population variance, it is appropriate to use the Chi-Square test for the equality of two variances:H o : σ2= .0025 H 1: σ2≠.0025with the test statistic X 2= (n –1)o 2o 2n = 30,σ2 = .0492= .0024,σ2 = .052= .0025 X 2= (29).0024= 27.84.0025For 29 observations, Chi square values at probability of 0.975 and .025 are 16.04707 and 45.72229. We reject thehypothesis if computed value is <16.04707 or >45.72229.Since the computed value is 27.84 we do not reject the hypothesis that sample standard deviation is 5% Topic:Quantitative AnalysisSubtopic:Statistical inference and hypothesis testingAIMS:Define and interpret the null hypothesis and the alternative hypothesis. Define, calculate and interpret chi-squared test of significanceReference : Damodar Gujarati, Essentials of Econometrics, 3rd Edition (McGraw ‐Hill, 2006), Chapter 5^^Financial Risk Manager Examination (FRM®) Sample QuestionsValuation and Risk Models1.Mixed Fund has a portfolio worth USD 12,428,000 that consists of 42% of fixed income investments and 58%of equity investments. The 95% annual VaR for the entire portfolio is USD 1,367,000 and the 95% annual VaR for the equity portion of the portfolio is USD 1,153,000. Assume that there are 250 trading days in a year and that the correlation between stocks and bonds is zero. What is the 95% daily VaR for the fixed income portion of the portfolio?D 21,263D 46,445D 55,171D 72,635Answer: bExplanation:The computation follows:VaR2(portfolio) = VaR2(stocks) + VaR2(fixed income), assuming the correlation is 0(1,367,000)2= (1,153,000)2+ VaR2(fixed income)VaR (fixed income) = 734,357Next convert the annual VaR to daily VaR: 734,357/(250)(1/2)= 46,445Topic:Valuation and Risk ModelsSubtopic:VaR for linear and non-linear derivativesAIMS:Describe the delta-normal approach to calculating VaR for non-linear derivativesReference: Linda Allen, Jacob Boudoukh and Anthony Saunders, Understanding Market, Credit and Operational Risk: The Value at Risk Approach(Oxford: Blackwell Publishing, 2004). Chapter 3—Putting VaR to WorkThis Page Left BlankCreating a culture ofrisk awareness.TMGlobal Association ofRisk Professionals111 T own Square PlaceSuite 1215Jersey City, New Jersey 07310USA+ 1 201.719.7210RegusOffice Number 52768 King William StreetLondon EC4N 7DZUK+ 44 (0) 20 7397 9630About GARP|The Global Association of Risk Professionals (GARP) is a not-for-profit global membership organization dedicated to preparing professionals and organizations to make better informed risk decisions. Membership represents over 150,000 risk manage-ment practitioners and researchers from banks, investment management firms, government agencies, academic institutions, and corporations from more than 195 countries and territories. GARP administers the Financial Risk Manager (FRM®) and the Energy Risk Professional (ERP®) exams; certifications recognized by risk professionals worldwide. GARP also helps advance the role of risk management via comprehensive professional education and training for professionals of all levels. .。

面试提问样本Please remember that these are just sample questions. You should not ask all of them and may wish to write or research your own as they will need to be adapted to suit the needs/background of the person you are interviewing. Area Suggested questionsOpening questions General questions ▪Introduce yourself. Ask if it is convenient to talk.▪Set the candidate at ease with a little small talk.▪Ask candidate to describe what he/she is presently doing.▪Ask candidate to describe previous employment and reason for leaving.▪Tell me something about yourself that I haven’t read in your resume.Qualifications Professional training ▪Can you tell me about your (qualification)?▪When did you take your (qualification)? Where?▪Can you give me a description of the course?▪What did you get out of your (qualification)?▪What skills did you develop there?▪Tell me about the most significant accomplishment of your studies.▪How have your education and professional training prepared you for this job?▪Are you interested in studying further? If so, what kind of courses would you like to do?ELT profile Both newly qualified and experienced teacher candidates:▪At English First we use what we call ‘the communicativemethod’ –what do you understand by ‘thecommunicati ve method’.▪Which age groups/levels did you teach (at Xcenter/course)▪What types of courses▪Describe your favourite/most successful lesson.▪In which areas do you still need to improve?▪Illustrate how you develop a lesson plan.▪How do you develop a good student – teacherrelationship?▪How do you maintain student discipline?▪How do you communicate to a student how they areperforming?▪In what areas are you strongest/weakest?▪Do you have an area of particular interest in .........L?▪During you time with us, you will almost certainly be askedto teach children? How do you feel about that?▪How would you go about teaching the past simple to agroup of 15 young adults?▪What do you think it takes to be successful in this field?Newly/recently qualified:▪T.........L cert questions -▪What did you find the most difficult aspect of the course?▪What did you enjoy the most on your course? Why?▪What surprised you?▪What impressed you about the teachers you observed?▪In which areas do you still need to improve?▪Illustrate how you develop a lesson plan.Experienced teachers:▪Can you describe your experience at (previous school)?▪How do you stay informed on new teachingpractices/techniques?▪What further training have you received(workshops/seminars/publications etc.)▪How do you monitor your .........fectiveness as a teacher?▪Describe a success you’ve had with a difficultstudent/group.▪Tell me about a time you inspired a class, student to excelon a task or project. How did you do it?▪Tell me about a time when you used competition to getstudents to work hard.Hypothetical ▪You disagree with the DoS’ method of dealing with aquestions situation – what would you do?▪ A parent is furious with you after a parent-teachermeeting – what would you do?Background –general question (non-.........L experience) ▪Tell me about a specific personal strength that made you .........fective in your last position.▪How do you get along with fellow workers in your present job?▪What skills (in your present job) are us.........ul for teaching? ▪What areas of your present job do you like the most?▪Why are you leaving your present job?......... English First China ▪What do you know about our company?▪What single thing about our company attracts you most? ▪What specific strengths do you think you can bring to the position/.........?▪What attracts you about coming to China?▪Have you ever experienced culture shock/lived over-seas?▪What do you expect to be the biggest challenge about the job/living in China?Personality profile ▪How would your friends describe you?▪How do you react to criticism from supervisors (when youfeel that it is unwarranted)?▪What do you do when you have trouble solving aproblem at work?▪How do you formulate priorities?▪Give an example when you have had to deal withunreasonable expectations. How did you deal with them,what happened?▪We all go through interpersonal conflict or rejection atwork. Give me an example of a time when you had tocope with these demands.▪We all have areas in which we would like to improve –what are some of yours?▪What have you learned from your mistakesInterests ▪What do you like doing in your spare time?Closing ▪Have you read the job description and contract? Do youhave any questions about that?▪Confirm candidate availability and discuss pr.........erredlocation list.▪Have you got any questions that you’d like to ask me? Close the interview – neutrally and let them know when they should expect tohear from you (usually 1 working week)附带：聘请函至：应聘者姓名根据我们刚才的电话内容,我很高兴地通知您，我校决定聘请您为部门的。

Chapter 48 Sample Questions & Answers:MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.1) An organism that lacks integration centersA) will not have a nervous system.B) cannot receive stimuli.C) will not be able to interpret stimuli.D) can be expected to lack myelinated neurons.E) Both A and D are correct.2) What do muscles, nerves, and glands have in common?A) They are target cells.B) They are referred to as postsynaptic cells.C) They synapse with neurons.D) A and BE) A, B, and C3) Integration of simple responses to certain stimuli, such as the patellar reflex, is accomplished by which of the following?A) cerebellum B) medulla C) spinal cord D) corpus callosum E) hypothalamus4) The general functions of the nervous system include which of the following?I. integrationII. motor outputIII. sensory inputA) I only B) II only C) III only D) I and II only E) I, II, and III5) A ganglion is a group of nerve cell bodiesA) anywhere in the nervous system.B) within the brain.C) within the spinal cord.D) in the peripheral nervous system.E) in the central nervous system.6) The blood-brain barrierA) is formed by tight junctions.B) provides support to the brain tissue.C) uses chemical signals to communicate with the spinal cord.D) is formed by oligodendrocytes.E) tightly regulates the intracellular environment of the CNS.7) A squirrel chewing the insulation off an electrical wire is analogous toA) Schwann cells failing to myelinate axons of the CNA.B) the nodes of Ranvier in the PNS.C) the deterioration of the brain-blood barrier.D) demyelination of the nervous system.E) the depolarization of the unmyelinated axons.8) Which of the following statements is false?A) Gray matter is the site of neuronal integration.B) Astrocytes can communicate with nerve cells.C) The outside of a cell is negative with respect to the inside of a cell.D) Squid axons are a model system for nerve conductance.E) All cells have a membrane potential.9) If the concentration of potassium in the cytoplasm of a nerve cell with a resting membrane potential of-70 mV were elevated above normal, the new resting potential wouldA) still be -70 mV.B) reverse polarity.C) be 0 mV.D) be -69 mV or higher.E) be -71 mV or lower.10) Neurons at rest are not at the equilibrium potential for K+ because the cell membrane isA) only permeable to Na+.B) slightly permeable to Na+.C) not permeable to K+.D) only permeable to K+.E) not permeable to Na+.11) If an otherwise normal nerve cell were made permeable to large negative ions, what would happen?A) The membrane potential would become positive.B) The membrane potential would not form.C) The Na+/K+ pump would not function.D) Potassium would not leave the resting cell.E) Sodium would not enter the resting cell.12) The sodium-potassium pump of neurons pumpsA) Na+ into the cell and K+ out of the cell.B) Na+ and K+ into the cell.C) Na+ and K+ into the cell and H+ out of the cell through an antiport.D) Na+ and K+ out of the cell.E) Na+ out of the cell and K+ into the cell.The questions below refer to the following information:An unknown organism has been discovered. It contains long cells with excitable membranes that scientists suspect are used for rapid information transfer. The membrane of the cell is permeable only to ion X, which carries a negative charge. Active transport pumps in the membrane move X into the cell while simultaneously moving ion Y, also carrying a negative charge, out of the cell.13) Which of the following is true about the establishment of the resting membrane potential in this cell?A) A negative resting potential is directly produced by the diffusion of Y- into the cell.B) The resting potential of this cell will be zero.C) A positive resting potential is directly produced by the diffusion of X- out of the cell.D) The resting potential of this cell will be negative.E) A negative resting potential is directly produced by the pump moving a negative charge into the cell.14) When neurotransmitter Z is released into the extracellular fluid in contact with a portion of the cell membrane, channels open that allow both X- and Y- through the membrane. Which of the following is incorrect?A) The membrane will depolarize.B) Y- will diffuse into the cell.C) The channels are chemically gated.D) The magnitude of the potential will immediately increase.E) X- will diffuse out of the cell.15) The threshold potential of a membraneA) opens voltage-sensitive gates that result in the rapid outflow of sodium ions.B) is a graded potential that is proportional to the strength of a stimulus.C) is equal to about 70 mV.D) is equal to about 35 mV.E) is the depolarization that is needed to generate an action potential.1) Answer: C 2) Answer: E 3) Answer: C 4) Answer: E 5) Answer: D 6) Answer: A 7) Answer: D 8) Answer: C 9) Answer: D 10) Answer: B 11) Answer: B 12) Answer: E 13) Answer: C 14) Answer: D 15) Answer: E。

GAC 010 Test 3 - Exam Sample QuestionsQuestion 1 [11 marks]a.) The following data show the ages, to the nearest year,of 60employees when they started working at a certain factory.i.) Graph the frequency histogram [ 3 marks]ii.) How many were under 40 when they started working there [1 mark]iii.) How many were aged 30 and over when they first started working there [1 mark]|b.) Use the table below to determine:i.) Taxable income on $57 678 whenAllowable deductions for the year amount to $1 745ii.) How much annual tax a person would pay when hisGross income is $57 678￥Solutions .)i.)&a.)ii.) 3 + 16 + 18 = 37a.)iii.) 18 + 10 + 8 + 5 = 41b.)i.) Taxable Income = gross - deductions= $57 678 - $1 745= $ 55933b.)ii.) Tax Payable on $57 678 is$57 678 - $1 745 = $ 55933on $50 000 = $11 380 on $55933 - $50 000 = $5 933 * .42！= $2Tax Payable on $ 55933 = $11 380 + $2= $13Question 2 [16 marks]The stem and leaf diagram displays the scores obtained by 40 students in their final Mathematics exam.$a.) Calculate the mean, median and mode. [5 marks]]b.) Calculate the range, and the lower and upperquartiles. [5 marks]c.) Construct a box and whisker diagram. [3 marks]d.) Hence, comment on the symmetry or otherwise ofthe data. [1 mark]e.) Find the variance and standard deviation. [2 marks]！SolutionsMedian = X (n + 1) = X 41/2 = X2Mode = 76>b.) Range = Highest Value - Lowest value= 98 - 45= 53Q1 = X (n + 1)4Q1 = X (41)4= X:Q3 = X 3(n + 1)4Q3 = X 3(41)4= Xc.) Box and Whiskerdiagram~______________________________________________________ 30 40 50 60 70 80 9045 Q1 Md Q3 98d.) The data is skewed to the left (negatively skewed)due to the greater number of smaller values.:e.)Variance is S^2 = S (x - x̅ )^2*fn -1 Standard deviation is s =√s^2；Question 3 [15 marks]a.) Households in a certain town were surveyed to determine whether they would subscribe to a Pay TV Channel. The households were classified according to “high”,“medium”, and “low” income levels. The results of the survey were summarized in the following table.A household is chosen at random. Find the probability that the household:$i.) will subscribe. [1 mark]ii.) has a low income level. [ 1 mark]iii.) will subscribe and a has a low-income level. [2 marks]iv.) will subscribe or has a low income level. [2 marks]v.) will subscribe given that the household has a low incomelevel. [2 marks]b.)i.) 12 people are to be divided into two groups with 8 in oneand 4 in the other.In how many ways can this be done [2 marks]'ii.) A television firm has in stock 9 television sets with32inch tubes and 6 sets with 28 inch tubes. Four sets are removed at random. What is the probability that theyare all of the same size [3 marks]iii.) A particular firm has in type of TV tube is almostcertainto fail within 3500 hours. If the life of a tubefollows anormal distribution with a standard deviation of 150hours, find the mean life of these tubes. [2 marks]（Solutionsi.) (will subscribe) = 3770 =13660:ii.) P(low level income) =2420 =13660iii.) P(will subscribe and has low level income) = 520 =13660iv.) P(will subscribe or has low level income) = 3770 + 190013660=v.) P(will subscribe given household has low level income)》= 520 =2420b.) i.) Number of arrangementsn C r = n!r!(n-r)!12 C 8 * 4 C 4 = 12! * 4!8!(12 - 8)!4!(4-4)!= 12! *4!8!(4!)4!(0)!~= 12 * 11 * 10 * 9 * 8!* 18!(4)!= 12 * 11 * 10 * 94 * 3 * 2 * 1= 11880 = 49524ii.) P(same size) = P(LLLL) + P(SSSS)= ( 9 * 8 * 7 *6 ) + ( 6 * 5 * 4 * 3 )15 14 13 12 15 14 13 12:=iii.) Almost certain to fail is 3 standard deviationsabove themean.therefore, mean isμ + 3σ = 3500μ = 3500 -3σ=3500 - 3 * 150=3500 - 450= 3050or,@3500 - 150 = 33503350 - 150 = 32003200 - 150 = 30503050 3200 3350 3500Question 4 [13 marks]、Most movie trailers are normally distributed with a mean of2 minutes and a standard deviation of 30 seconds.a.) Find the probability that a movie trailer selected at randomwill bei.) less than 160 secondsii.) less than 80 secondsiii.) over 180 secondsiv.) over 100 seconds but less than 140 seconds.b.) If you watch 100 of these movie trailers, how many will beunder 140 seconds;Solutions4. a.)i.)Let X = time in secondsμ = 120, σ = 30 X: N(120, 30^2)30 30：= P(Z <= .5 + P(0 ≤ Z ≤= .5+ .4515= .9515120 160________________________________________0 Z|a.)ii.)P(X < 80) = P(Z < 80 -120) = P(Z < - 40 )3030= P(Z < -= .5 -P < Z < 0)= .5 - P(0 <Z <= .5 - .4082= .0918、80 120_____________________________________________0 Za.)iii)，P(X > 180) = P(Z > 180 -120) = P(Z > 60 )3030= P(Z > 2)= .5 - P(0< Z < 2)= .5 -.4772= .0228120 180【__________________________________________0 2 Za.) iv)P(100 < X < 140) = P(100 -120 < Z < 150 -120)30 30= P( -20 < Z < 30 )30 30= P < Z < 1)= P < Z < 0) + P(0 < Z <1)*= P(0 < Z < .66) + P(0 <Z < 1)= .2454 + .3413= .5867100 120 150_____________________________________________0 1 Z，b.)P(X < 140) = P(Z < 140 - 130 )30= P(Z < .33)= .5 + P(0 < Z < .33)= .5 + .1293= .6293So, for 100 trailers: 100 * .6293 = => about 63 trailerswill be under 140 seconds.,120 140______________________________________________0 .33 Question 5 [14 marks]a.) Frank recently bought a small boat. He put $8000 asdown payment and borrowed the rest of the money, withpayments of $400 at the end of every 4 months for 4 years.If the interest is 8% . compounded three times a year, whatis the current value of the boat [4 marks]Unit 7F, Ex , p. 235;b.) My brother Tony, who lives in Canada, just bought 2houses. the first costed $60 400 and the second $ 80 600.Later on, he sold the first one at a profit of 15% and thesecond at a loss of 12%. How much profit or loss did theagent gain or lose in total [4 marks]Unit 6D, Ex , p. 207c.) A newly opened office’s purchased equipment -computers, printers, fax machines, etc. costs $25 000. Johnputs down a $3000 deposit and agrees to pay the balance in3 years at 7% interest on the balance.i.) If M is the monthly repayment, show that the amountowed at the end of the fourth month is22 000 * ^4 - M^3 + ^2 + + 1)[2 marks]Unit 7G·ii.) Find the monthly repayment to repay the loan in 36months. [4 marks]Unit 7G, Ex , ( Application of Geometric Series)Solutions5 a.)Ordinary AnnuitiesPresent Value of an Ordinary Annuity}The present value (A) of an ordinary annuity is given by:A = R [ 1 - (1 + i)^-n ]iWhere: R periodic payment of the annuityi = interest rate per period (as a decimal)n = the number of periodic payments to be madeThe term 1 - (1 + i)^-n can be abbreviated to ɑn̅ii—therefore the present value of an ordinary annuity is A = Rɑn̅i, whereɑn̅i = 1 - (1 + i)^-n i================Deposit = $ 8000R = $400n = 4 * 3 = 12i = 8% / 3 = .026:Present value (A) = $8000 + A= $8000 + 400 [ 1 - ( ^-12 ].026= $8000 + 400[]= $8000 +=$b.)|cost of house 1 = 60 400cost of house 2 = 80 600cost of both houses = 141 000Mark-up on house 1 = .15 * 60 400 = 9060Sale price of house 1 = 60 400 + 9060 = 69460Loss on house 2 = .12 * 80 600 = 9672Sale price on house 2 = 80 600 - 9672 = 70928Total sales price of houses 1 and 2 = 69460 +70928 = 140388 Total loss =141 000 - 140388 = 612$612 is (612/141000) * 100 == about % of Total Cost Price,c.)The balance left to pay is 25 000 - 3000 = 22 000！The calculation must first be based on monthsTherefore monthly interest rate = 7 % = .58% =.005812so 1 + r =100Number of months = 3 * 12 = 36】i.)Let Ai be the amount still owing after i months and M the monthly repayments.A1 = 22 000 * - MA2 = A1 * - M= ( 22 000 * - M) * - M= 22 000 * ^2 - - M= 22 000 * ^2 - M + 1)A3 = A2 * - M<= (22 000 ^2 - M^1 + 1) * - M= 22 000 * ^3 - ^1M - M) * - M= 22 000 * ^3 - ^2 - - M= 22 000 * ^3 - M^2 + + 1)A4 = A3 * - M= ....= 22 000 * ^4 - M^3 + ^2 + + 1)、ii.)A36 = 22 000 * ^36 - M^35 + ^34 + (1)( using the geometric series formula for Sn)The Sum of n Terms of a Geometric Progression isSn = a(r^n - 1) if/r/ > 1r - 1]= 22 000 * ^36 - M ^36 - 1)- 1 but A36 = 0 so,M ^36 - 1 = 22 000 * ^36.0058M = 22 000 * ^36 * .0058^36 - 1)== $ 678. 90Question 6 [11 marks]a.) Frank paid, including brokerage, $10 000 for some shares in Motorola company, through a broker who charged 5% commission on the market value of each share, which was$2. 75. Their face face was 60 cents. Later, Frank received a dividend of $ 400.Unit 7 C￥i.) How many shared did Frank buy in this deal [2 marks] ii.) What was the dividend rate [2 marks]iii.) What was the yield for investing in this company (hint: do not include brokerage) [2 marks]b.) What simple interest rate would pay an annual dividend of $320 on an investment of $8000[2 marks]Unit 7Dc.) $30 000 is invested for 5 years at 5% . compounded quarterly ( a period of three months regarded as one fourth of a year). What will the investment be worth at the end of the five years[3 marks]Unit 7E}Solutionsa.)i.)10 000 = * shares + (5% of * Shares)= * shares + (.05 * * shares)= (1* * shares) + (.05 * * shares)= * shares10 000/ * = shares= shares)or10 000 = * Shares + (5% of *Shares)= * Shares + (.1375 * Shares)= * shares10 000 / = Shares= SharesDividend is calculated using the face valueIf a company makes a profit, al the shareholders of that company receive a part of the profit in the form of a dividend payment.Dividend is calculated using the face value of each share and stated as a percentage.Dividend = 3463 *.60 =Dividend rate = 400/ * 100 = %The amount of money invested is calculated using the the market value of the shares.Investment amount without brokerageAmount invested = * =The yield (percentage amount received by shareholders) from such investments is calculated as follows:Yield = Return from money invested * 100%Amount of money invested》Yield = 400 * 100% = %b.)Simple interestMoney deposited into a financial institution can earninterest on the principle or capital ( the initial amount invested). When only the principle earns interest for the entire length of the investment, the interest due at the end of the investment term is called simple interest.Where:I = the interest earnedP = the principal amount investedR = the interest rateN = the number of yearsNote: Interest rates are usually expressed with . after them. For example: 6% . ( per annum)=============\I = PRN100therefore,R = 100 * IPN= 100 * 320 = 4%8000 * 1c.)】Compound interestCompound interest is different from simple interest because at the end of each interest period, any interest earned is added onto the principle. This new amount becomes the principal for the next time period. When interest is added to the principal, it is often said to be compounded into principal ( thus the reason for the name). This means compound interest is always increasing for each time period.The compound interest formula:A = P ( 1+ r )^n100Where:A = the future value of the investmentP = the principal amount invested~r = the interest rate adjusted to the interest periodsn = the number of compounding periods per year============r = 5 %/4 = % = .0125n= 5 * 4 = 20A = 30 000(1 + .0125)^20= $ 38—Question 7 [13 marks]a.) My brother Tony just borrowed money for a new house. The loan is of $ 300 000 to be repaid over 25 years, by making equal payments at the end of each quarter, when interest of 7% . is charged.Unit 7Fi.) What is the periodic payment of this annuity [2 marks] ii.) How much is paid in interest over the 25 years [2 marks]b.) Find the future value of the ordinary annuity due when $450 is deposited every quarter for 3 years at the rate of 6% . compounded quarterly. [3 marks]{Unit 7Fc.) Frank has invented a game for one person. He throws two dice until the sum of the two numbers shown is either 5 or 9. If the sum is 9 Frank wins, if the sum is 5, he loses.If the sum is any other number, he continues to throw until it is 5 or 9.Unit 1Ki.) Find the probability that Frank wins on the first throw.[2 marks]ii.) Calculate the probability a second throw is needed.[2 marks]iii.) What is the probability Frank wins on the first or second throw [2 marks]/Solutionsa.)Ordinary AnnuitiesPeriodic Payment of an Ordinary Annuity Given the PresentValueThe periodic paymen t (R) of an ordinary annuity given the present value A is given by:Ordinary annuity A = R * ɑn̅iR = A;ɑn̅iɑn̅i = 1 - (1 + i)^-n iWhere:R = periodic payment of the annuityi = _r_ = interest rate for period (as a decimal)NN = the number of interest periods in 1 yeart = term of the annuityn = Nt = the number of periodic payments to be made duringthe whole term.#A = the present value given==============n = 25 * 4 = 100i = 7%/4= .07/4 = .0175ɑn̅i = 1 - (1 + i)^-n i= 1 - (1 +.0175)^-100.0175》=R = 300 000R = $ii.) Interest paid = 100 * - 300 000=b.){Ordinary AnnuitiesFuture Value of an Ordinary AnnuityThe future value (S) of an ordinary annuity is given by:S = R [ (1 + i)^n - 1 ]iWhere:R = periodic payment of the annuityi = r = { the interest rate per interest period (expressed as a：N decimal) }N = the number of interest periods in 1 yeart = the term of the annuityn = Nt = the number of periodic payments to be made during thewhole term.The term (1 + i)^n - 1 ] can be abbreviated (shortened) to Sn̅i.iTherefore, the future value of an ordinary annuity is S = RSn̅i, whereSn = (1 + i)^n - 1i》==================S =R = 450n = 3 * 4 = 12i = .06/4 = .015For an annuity due:S = R [ (1 + i)^n - 1 ]i￥S = 450 [ (1 + .015)^12 - 1 ].015S = $c.)c.) Frank has invented a game for one person. He throws two dice until the sum of the two numbers shown is either 5 or 9. If the sum is 9 Frank wins, if the sum is 5, he loses.If the sum is any other number, he continues to throw until it is 5 or 9.i.) Find the probability that Frank wins on the first throw.[2 marks]—ii.) Calculate the probability a second throw is needed.[2 marks]iii.) What is the probability Frank wins on the first or second^Solutionsi.)9 = win 5 = loseP(9) = 4/36ii.)P(2nd throw) = P(not 9 U not 5)P(A) + P(not A) = 1P(not A) = 1 - P(A)P(not 9 U not 5) = 1 - P(9 U 5)= 1 - (4/36 + 4/36)= 1 - 8/36 = 28/36 = 7/9 = .77iii.)------> W-------> L-------> C --------> W---------->L--------->CP(win 1st U win 2nd) == P(win 1st) + P(not win/lose 1st * win2nd)= P(win 1st) + P(not 9 U 5) * P(win 2nd)= 4/36 + (7/9 * 4/36)= 4/36 + 28/324 =64/324 = .19Question 8 [7 marks]a.) A salesman receives commission on a sliding scale. He receives 5% on the first $8000 of goods sold, 4% on the next $50000 and 1% thereafter. Find the commission on sales of $ 75 000. [3 marks]Unit 6Eb.) Joanne has an average of 88% after taking 5 examinations. Is it possible for Joanne to achieve an average of 90% after her next examination Justify your answer. [2 marks]Unit 3Ec.) A box contains red, yellow, and green marbles. Therefore if I chose one marble at random from the box the probability that it is red is 1/3. Is this statement trueof false Explain why[2 marks]Unit 1GSolutionsa.) Commission = 5% of 8000 + 4% of 50000 + 1% of 17000= .05 * 8000 + .o4 * 50000 + .01 * 17000= 400 + 2000 + 170= 2570b.) Total marks achieved = 5 * 88= 440Total marks needed = 6 * 90= 540Therefore, marks required in the next test = 100possible.c.) The statement is false because it assumes there is an equal number of each of red, yellow and green, and this may not be the case.。