Taking a math test can be pretty stressful. Even if you know the material, you can still get the problem wrong. Knowing how to go through your math test and check your work can save you from handing in a test full of mistakes that can be avoided. {#blank#}1{#/blank#}

Write it out

    You can also check a math problem by writing everything out on paper. {#blank#}2{#/blank#} Writing out math problems reduces your chances of missing anything to the lowest possible level, which is a common cause of incorrect answers.

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    Make sure your answers work by doing the opposite procedure of what your problem calls for, including the answer you got the first time around. In other words, you would use the opposite of this addition problem—subtraction (减法)—to determine whether or not your answer is the correct one.

Plugging in

    You may find that a variable isn't good enough or have a problem where you have to solve for a variable (变量). {#blank#}4{#/blank#} This is the only real way to assure yourself that the answer you've found is correct.

Check for a reasonable answer

    {#blank#}5{#/blank#} For example, if you get an answer in the millions and you know it should be in the thousands, you've likely misplaced a point. Go back through the work on your paper to make sure all of your formulas and calculations are correct. If everything looks okay, do the problem again and compare the result of the second try to what you've got on the first try.

What's On?

Trouble in Mind

    Alice Childress won an Off-Broadway award in 1956 for this story of a black actress rehearsing a play with a white director who increasingly finds it impossible for the show to go on. Tanya Moodie and Joseph Marcell star in the play directed by Laurence Boswell.

8.30p.m. —10.30p.m, Theatre Royal. Box office: 01225 448844.

Lazarus

    Inspired by the sci-fi (science fiction) novel and movie, The Man Who Fell to Earth, this musical deals with a hero, Thomas Newton. Likely to be the autumn's hottest ticket, the score includes new songs composed by Bowie.

7.00p.m. — 9.00p.m., King's Cross theatre. Box office: 0844 871 7604.

The Gaul

    On the night of 8 February 1974, a fisherman FV Gaul disappeared off the coast of Norway. For people on board, waiting for news was great suffering. Theories began to come up, including the possibility that the boat had fallen victim to cold war. Even when he was discovered, many still felt there were questions that remained unanswered. Mark Babych directs Janet Plater's play.

8.00p.m. —11.00 p.m., Royal Shakespeare theatre. Box office: 01482 323638.

The Suppliant Women

    It is a new version of Aeschylus's 2,500-year-old play about a group of women seeking shelter who make the long journey to escape forced marriage. It was written by David Greig and directed by Ramin Gray. An ancient piece asks a contemporary question: when we are in trouble, who will open their doors and give us a harbor?

8.30p.m. —10.00p.m, Hampstead theatre. Box office: 0131 248 4848.

    One of the executives gathered at the Aspen Institute for a day-long leadership workshop using the works of Shakespeare was discussing the role of Brutus in the death of Julius Caesar. “Brutus was not an honorable man,” he said. “He was a traitor（叛徒）. And he murdered someone in cold blood.” The agreement was that Brutus had acted with cruelty when other options were available to him. He made a bad decision, they said—at least as it was presented by Shakespeare—to take the lead in murdering Julius Caesar. And though one of the executives acknowledged that Brutus had the good of the republic in mind, Caesar was nevertheless his superior. “You have to endeavor,” the executives said, “our policy is to obey the chain of command.”

    During the last few years, business executives and book writers looking for a new way to advise corporate America have been exploiting Shakespeare's wisdom for profitable ends. None more so than husband and wife team Kenneth and Carol Adelman, well-known advisers to the White House, who started up a training company called “Movers and Shakespeares”. They are amateur Shakespeare scholars and Shakespeare lovers, and they have combined their passion and their high level contacts into a management training business. They conduct between 30 and 40 workshops annually, focusing on half a dozen different plays, mostly for corporations, but also for government agencies.

    The workshops all take the same form, focusing on a single play as a kind of case study, and using individual scenes as specific lessons. In Julius Caesar , sly provocation（狡诈的挑唆） of Brutus to take up arms against the what was a basis for a discussion of methods of team building and grass roots organism.

Although neither of the Adelmans is academically trained in literature, the programmes, contain plenty of Shakespeare tradition and background. Their workshop on Henry V, for example, includes a helpful explanation of Henry's winning strategy at the Battle of Agincourt. But they do come to the text with a few biases (偏向): their reading of Henry V minimizes his misuse of power. Instead, they emphasize the story of the youth who seizes opportunity and becomes a masterful leader. And at the workshop on Caesar, Mr. Adelmans had little good to say about Brutus, saying “the noblest Roman of them all” couldn't make his mind up about things.

    Many of the participants pointed to very specific elements in the play that they felt related Caesar's pride, which led to his murder, and Brutus's mistakes in leading the  after the murder, they said, raise vital questions for anyone serving as a business when and how do you resist the boss?

    A six-wheeled robot travels underground in Hefei to discover warning signs of faults inside the pipeline network, "It looks like a toy car at first, but it's much more complicated than that," said Xu Mao, the robot's operator.

    The pipeline robot, developed by Wuhan Easy-Sight Technology, is made up of four parts — crawler, camera, cable reel, and controller. A full charge can enable the robot to work for four to five hours, covering a distance between 800 and 1,000 meters in the underground p ipeline.

    The robot made its appearance last month in Shushan District. It will carry out inspections of the underground pipeline network stretching 150 kilometers." Whether the pipe is leaking, damaged or blocked, we can clearly see its situation through high-definition(高清晰度的)cameras fixed into the robot, " said Qi Chuanshuai from the provincial construction engineering and testing institute.

    The real-time data including video images of the pipe will be up loaded and displayed on a computer. "If we find any problems, we stop the robot and record the flaws," Xu said. "We report the faults to local government, who will arrange the repair as soon as possible."

    With the rapid develop merit of cities, it is becoming increasingly difficult to manage underground pipelines. Among all the difficulties, discovering faults in the sewage (污水)and rainwater pipelines comes first. Many other cities such as Wuhan, Nanjing, Shenzhen, and Shanghai are using the robots to inspect their pipelines, the robot's developer said.

    Equipped with environmental detection sensors, the robots can monitor temperature and damp, poisonous gases, oxygen levels and smoke density, while providing color diagram in real time. "Compared with human workers, robots are able to enter smaller pipes and are immune (有免疫力的)to poisonous gases in sewage pipes," said Ge Shengli from Shushan District' s city management company." No digging is required and there is no need to interrupt traffic," Ge added.

    The UK has a well­respected higher education system and some of the top universities and research instructions in the world. But to those who are new to it all, sometimes it can be confusing.

    October is usually the busiest month in the college calendar. Universities have something called Freshers' Week for their newcomers. It's a great opportunity to make new friends, join lots of clubs and settle into university life.

    However, having just left the comfort of home and all your friends behind，the prospect(前景) of meeting lots of strangers in big halls can be nerve­wracking (令人焦虑不安的). Where do you start? Who should you make friends with? Which clubs should you join?

    Luckily, there will be thousands of others in the same boat as you worrying about starting their university social life on the right foot. So just take it all in slowly. Don't rush into anything that you'll regret for the next three years.

    Here is some top advice from past students on how to survive Freshers' Week:

    Learn rules. Make sure you know British social etiquette(礼节). Have a few wine glasses and snacks handy for your housemates and friends.

    Be kind. Sometimes cups of tea or even slices of toast can give you a head start in making friends.

    Be sociable. The more active you are，the more likely you'll be to meet new people than if you're someone who never leaves his room.

    Bring a doorstop. Keep your door open when you're in and that sends positive messages to your neighbors that you're friendly.

    So with a bit of clever planning and effort, Freshers' Week can give you a great start to your university life and soon you'll be passing on your experience to next year's new recruits.

    Ever walked to the shops only to find, once there, you've completely forgotten what you went for? Or struggled to remember the name of an old friend? For years we've accepted that a forgetful brain is as much a part of aging as wrinkles and gray hair. But now a new book suggests that we've got it all wrong.

    According to The Secret Life of the Grown-up Brain, by science writer Barbara Strauch, when it comes to the important things, our brains actually get better with age. In fact, she argues that some studies have found that our brain hits its peak between our 40s and 60s — much later than previously thought.

    Furthermore, rather than losing many brain cells as we age, we keep them, and even produce new ones well into middle age. For years it's been assumed that brain, much like the body, declines with age. But the longest, largest study into what happens to people as they age suggests otherwise.

    This continuing research has followed 6,000 people since 1956, testing them every seven years. It has found that on average, participants performed better on cognitive (认知的) tests in their 40s and 50s than they had done in their 20s. Specifically, older people did better on tests of vocabulary, verbal memory (how many words you can remember) and problem solving. Where they performed less well was number ability and perceptual speed — how fast you can push a button when ordered. However, with more complex tasks such as problem-solving and language, we are at our best at middle age and beyond. In short, researchers are now coming up with scientific proof that we do get wiser with age.

    Neuroscientists are also finding that we are happier with aging. A recent US study found older people were much better at controlling and balancing their emotions. It is thought that when we're younger we need to focus more on the negative aspects of life in order to learn about the possible dangers in the world, but as we get older we've learned our lessons and are aware that we have less time left in life: therefore, it becomes more important for us to be happy.