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1、Have you ever tried to share a cake with others? It sounds easy, but how can you make sure everyone feel pleased with their piece? This is not only a food question—it is also an interesting math problem!
For two people, a classic rule works well: "I cut, you choose." One cuts the cake into two pieces. The other person picks first. The cutter will try to make it fair, so both feel satisfied. However, it is more difficult for three people. In the 1940s, mathematician Hugo Steinhaus introduced the "lone-divider" method. First, Amy cuts the cake into three pieces that she values equally (均等地). Then Ben and Charlie check the pieces. If they both accept different pieces, they each take one, and Amy gets the last one. So everyone gets a piece that they believe is fair.
Later, in the 1960s, John Conway and John Selfridge developed another method. A piece of cake is passed from one person to another. Anyone who thinks it is too big may cut a part off. Any pieces cut off are put back with the main cake. The last person to trim it gets that piece and leaves. Then the same process continues with the rest of the cake and the remaining people. This method also aims at fairness.
In 2014, researchers created Spliddit, a website that uses these math rules to help people divide things fairly. As mathematician Biaoshuai Tao said, "There's a lot to be done." Cake-cutting shows us that even simple daily problems can lead to deep and useful math.
(1)、How does the writer start the topic?A、By raising some questions. B、By giving an example. C、By comparing two ideas. D、By telling a warm story.(2)、Who cuts the cake into three pieces in the "lone-divider" method?A、The one who hands a piece to others. B、The one who checks the pieces. C、The one who values the pieces equally. D、The one who gets the first piece.(3)、What does the underlined word "trim" mean in Paragraph 3?A、bite B、cut C、hide D、hold(4)、Why does the writer mention Spliddit in the last paragraph?A、To introduce a new website for sharing cakes fairly. B、To prove that only math can solve fairness problems. C、To explain that cake-cutting problems are still unsolved. D、To show math rules about fairness can be used in real life.(5)、What is the best title for the passage?A、The Sweet History of Cakes. B、The Perfect Art of Cake-cutting. C、Fair Cake Sharing: A Math Problem. D、Spliddit: A New Way to Share. -
2、
Meow: Welcome Your New Friend!
A new cat or kitten is coming to live with you—how exciting! Remember to check if you get things ready before it arrives. The following tips can always help you!
Pick the right cat for your familyEvery cat has its own personality. Some love to play all day. Others enjoy a quiet rest. If you have young kids, a confident kitten might be a great fit. If your home is calm and quiet, an older cat could be the perfect friend.
Prepare your home before its arrivalSet up a quiet room with a soft bed, food and water bowls, a litter box, and a few toys. Make sure windows are safe and small holes are blocked. If you have other pets, introduce them slowly and carefully, at least a week later.
Think about your daily routineIf everyone is out during the day, a kitten may feel lonely. You might want to have two kittens so they can keep each other company. Older cats are often more independent and fine when they spend time alone.

Adopting a cat is not just for today
—it's a promise.
Make sure you're ready for years of purrs, play, and friendship.
With a little love and planning, you and your new cat will be best friends!
(1)、What kind of cat would be better for a quiet home?A、An older cat. B、A playful kitten. C、A newborn cat. D、A confident kitten.(2)、Which picture shows the right way to prepare a room for a new cat?A、
B、
C、
D、
(3)、Why might someone choose to own two kittens?A、To make them grow faster. B、To have more fun playing with toys. C、To make more money for living. D、To stop them from feeling lonely.(4)、What does the writer mean by "Adopting a cat is a promise"?A、You can give it away anytime. B、You should take care of it for life. C、You must play with it every day. D、You need to pay for it every month.(5)、Who is this passage mainly written for?A、Parents who already have cats. B、People who want to get a cat. C、Doctors who look after sick cats. D、Kids who love to play with cats. -
3、Luen, a student from China, was learning English in Canada. One day, his Canadian friend had him buy some green onions. Luen did it right away. He knew what an onion was—a round1 with layers. How hard could it be?
But on the way to the store, he started to think. "What is a green onion? It must be an onion that is green." When he got to the store, he looked at all the onions. There were red, white, and purple onions—but no green ones. He felt2.
Then he had an idea. "Maybe the inside is green." He3 a white onion and took off the skin. Inside, he saw a light green colour. "Yes! I found it!" he thought4. He bought the onion and took it home.
When he gave it to his friend, his friend looked puzzled. "Why did you buy a white onion? I asked for green onions."
Luen5, "Look—the inside is green!"
His friend laughed. Then he said, "A green onion is6. It has long green leaves and a small white end. People use the green part for7. It's not just an onion that is green."
His friend8, "In English, some words are made of two words. They're called compound words. But the9 isn't always what you might expect. For example, an eggplant doesn't have eggs. A hot dog isn't a dog."
Luen felt a little embarrassed, but he also felt happy. He10 something new from this experience. And he would never forget what green onions really are!
(1)A 、leaf B 、fruit C 、flower D 、vegetable(2)A 、excited B 、angry C 、surprised D 、sick(3)A 、picked up B 、put down C 、looked for D 、dealt with(4)A 、freely B 、deeply C 、suddenly D 、happily(5)A 、doubted B 、explained C 、shouted D 、nodded(6)A 、simple B 、strange C 、common D 、different(7)A 、cooking B 、sharing C 、sale D 、show(8)A 、continued B 、warned C 、stopped D 、repeated(9)A 、form B 、history C 、meaning D 、spelling(10)A 、managed B 、learned C 、caught D 、started -
4、Moms are just moms when you are growing up. You don't always think about all the things they do for you. But sometimes, they do something so1 that you remember it forever.
When I was six years old, I had2 front tooth that often moved. I could push it back and forth with my tongue. It made3 worried. I didn't know what was happening, so I went to my mom.
Mom looked at my tooth and smiled. "Don't worry," she said. "Your tooth is going to fall out soon."
"Fall out?" I cried. "How will I eat?"
Mom laughed. "Everyone4 two sets of teeth. These are your baby teeth. They make room5 your grown-up teeth to come in."
6 I was still scared. "Will it hurt?" I asked. The thought of a tooth falling out made me feel nervous.
Mom said she could help. She asked me7 in a chair and close my eyes.
"Think about something funny," she said8. "I'm just going to take a look."
I closed my eyes tight and tried to think of something silly. After a few seconds, Mom said, "Okay, open your eyes."
There, in her hand, was my tooth! I9 believe it. However, my mother's smile told me everything was okay. While she was talking, she had pulled it out, and I didn't feel a thing.
That's just how moms are. They know exactly10 to do. And they always find a way to make things better—and painless.
(1)A 、cool B 、cooler C 、coolest(2)A 、a B 、an C 、the(3)A 、I B 、me C 、my(4)A 、got B 、will get C 、gets(5)A 、in B 、for C 、to(6)A 、Or B 、And C 、But(7)A 、to sit B 、sit C 、sitting(8)A 、soft B 、softness C 、softly(9)A 、shouldn't B 、needn't C 、couldn't(10)A 、how B 、what C 、why -
5、假设你是李华,最近参加了学校举办的中国传统文化展览会,收获颇丰。请给你的英国笔友Tom 写一封电子邮件,介绍你在展览会上体验的1-2 项传统文化,分享保护传统文化的方法,并谈谈其意义。
要求:
1.80 词左右(开头和结尾已给出,不计入总词数);
2.文中不得出现真实姓名和学校名称;
3.可适当增加细节,以使语句通顺、条理清楚、意义连贯;
4.书写规范,卷面整洁。
参考词汇:paper-cutting 剪纸;calligraphy 书法;Chinese knot 中国结 Dear Tom,
I'm glad to tell you about a Chinese traditional culture exhibition I attended recently.
I hope you can learn more about Chinese traditional culture and love it.
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6、他一口气的工夫就看完了那本小说。
He finished reading the novel in .
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7、中国历史最悠久的剪纸可追溯到1000 多年前。
The oldest paper-cutting in China can over 1,500 years.
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8、那位新同学给全班留下了好印象。
The new students made a good the whole class.
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9、他坐直身子,大声回答了老师的问题。
He straight and answered the teacher's question loudly.
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10、他们看到了养老院的志愿工作招募通知,于是主动提出帮忙。
They saw a notice for voluntary work at the nursing home,so they help.
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11、阅读下面短文,在空白处填入一个适当的单词或括号内单词的正确形式。
Shenzhen Bay Park is helping migratory birds by dimming(调暗)its lights night. Every winter,thousands of birds fly over the city on long journey.The park is on a famous bird"highway"called the East AsianAustralasian flyway.Too much bright light can confuse birds and make it hard for (they)to rest or find their way.
Some people were surprised at first, most of them now think it is a great idea.The city uses warm yellow (light)instead of bright blue ones.It also (use) hightech(高科技)weather radar to track(跟踪)the birds.This helps the park decide exactly when the lights (turn)off at night every day.
Many people feel (excite)and inspired by this thoughtful action.They cheer for Shenzhen Bay Park's effort and believe it sets a wonderful example.Other Chinese cities,like Beijing and Chengdu,also hope (control)their nighttime lights.People realize that a beautiful city does not need to be bright all the time in order to help those lovely birds.This plan shows that (protect)nature can be easy and helpful.
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12、 信息匹配下面的材料A~F 分别介绍了六个慈善机构,请根据下面五个人的需求,为他们选择最合适的慈善机构。
A.Sunshine Old People's Home:We help the old people who live alone.We have volunteers to talk with them,read newspapers for them and help with simple housework.
B.Hope Project for Poor Students:We raise money and collect school things for poor children. With our help,more children can go back to school and study happily.
C.Animal Care Center:We save homeless dogs and cats.We provide food,houses and medical care for them until they have new families.
D.Health Care for Sick Kids:We help sick children in hospital.We send them interesting books, toys and hold small parties to cheer them up.
E.Disaster Relief Group:We offer help to people in earthquake or flood areas.We provide them with clean water,warm clothes and food.
F.Green Community Club:We help to clean the community,plant trees and flowers to make our city more beautiful and comfortable.
(1)、Tony is a primary school student.His family is very poor and he has no money to buy pencils or exercise books.(2)、David found a homeless cat in the street.He wants to help it.(3)、Mrs.Smith is 80 years old and lives alone.She often feels lonely and needs someone to talk with.(4)、Some children are ill in hospital.They feel sad and want to read interesting storybooks.(5)、Many people lost their homes in the flood.They need clean water and warm clothes right now. -
13、阅读下面短文,并从下列方框里的六个句子中选择五个还原到原文中,使原文的意思完整、连贯。
A.You may meet many people every day.
B.It helps to build good relationships with others.
C.It helps you act well.
D.People will believe what you are saying if you make eye contact with them.
E.Without eye contact,you might speak too fast.
F.When you have to talk to strangers,it can help you become sure about yourself.
Making eye contact during talks is very important. In fact,making good eye contact is one of the social skills (社交技能)everyone should work on.
It makes people remember you.
If you want to make them remember you,what can you do?Making and keeping eye contact with them can help you make a good and strong impression on others easily.
It makes people trust (信任)you.
If you don't do it or you keep breaking eye contact to look away,they will think you are worried or scared and question (质疑)what you are saying.
When you notice someone is looking at you,you will pay more attention to your own behaviors and try to act properly.Taking note of your actions is a good thing.
It lets people know what you are saying clearly.
But if you keep eye contact with your listeners,you'll speak more slowly and it will make them hear you more clearly and understand you better.
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14、阅读下列短文,从下面每小题所给的A、B、C、D 四个选项中,选出最佳选项。
The beautiful dragon robes(龙袍)of Chinese emperors are long gone,either buried or locked behind museum glass.But the skills to make them still exist,thanks to artists like Qi Qiulan from Suzhou,Jiangsu province.
Qi is 62 years old.Her family has a long history of embroidery(刺绣):her great-grandmother made dragon robes for the Forbidden City,and her mother made embroidered things for export.Qi cannot remember a time when she was not surrounded by silk and thread.By age 4,she was sitting at her mother's feet, watching a needle dance through fabric.By age 6,she was doing it herself —mending clothes and embroidering small patterns."I was born into this.It's in my blood.We call it children's kung fu. The skills you learn when you're young never leave you,"she said.
In 1988,she opened a small shop in Suzhou.She worked very hard,and her shop later grew into more than 30 big stores.Qi's works are famous.She made clothes for world leaders at the 2014 APEC meeting and gifts for first ladies at the 2016 G20 Summit.One of her great achievements is a15-meter-long embroidery copy of The Prosperous Suzhou Scroll,a Qing Dynasty (1644 -1911) painting.It took 20 people six and a half years to finish it.She plans to exhibit it in a museum.
Qi thinks Suzhou embroidery is a national intangible heritage."This craftsmanship is unique in the world.Silk used to be called soft gold.We have to let people know its value,"she said.She worries young people don't want to learn this craft.But her son Xu Ting,a university graduate, joined her business.He said,"What we're doing is meaningful.We're spreading Chinese culture."
(1)、How does the writer start the passage?A、By describing a famous painting. B、By asking a question about history. C、By introducing a historical object. D、By introducing a traditional festival.(2)、Why does the writer mention Qi's great-grandmother and mother in Paragraph 2?A、To praise their great achievements. B、To introduce embroidery for the Forbidden City. C、To tell readers embroidery is hard to learn. D、To show Qi was born into a family of embroidery.(3)、How long did it take to finish the embroidery copy of The Prosperous Suzhou Scroll?A、Nearly seven years. B、About five years. C、More than eight years. D、Over ten years.(4)、What's the main idea of the passage?A、The history of Suzhou embroidery. B、Qi Qiulan and her efforts to keep the embroidery craft alive. C、How to make Suzhou embroidery. D、The importance of silk culture in China.(5)、Where can we probably find the passage?A、In a science fiction. B、In a travel guide. C、In a culture and art magazine. D、In a daily weather report. -
15、阅读下列短文,从下面每小题所给的A、B、C、D 四个选项中,选出最佳选项。
After Wang Yizhi graduated from Shanxi Agricultural University in 2023,she made a meaningful choice to join the"Go West"program and work as a volunteer teacher in Xinjiang. Through this experience,she not only helped local students but also found the true value of life.Wang went to a primary school in Xinjiang and started her work as a Chinese teacher.At first,she met many challenges and even had some doubts about her choice.However,she never gave up and gradually found the experience rewarding.She felt especially happy when she witnessed her students'progress and gained the trust of their parents.
Since 2022,all the teachers in this school have been volunteers.Currently,23 volunteers are teaching more than 300 students.Because of their hard work,the students are doing much better in their studies than before.What's more,their spirit has won high praise.On May 2,2025,President
Xi Jinping replied to a letter from the young volunteer teachers.He praised them for their great efforts in local education and said volunteer service is important for social progress.He also hoped more young people could spread truth,kindness,and beauty to the world.
In a word,Wang's volunteer experience in western China is very meaningful.It helps her understand the true meaning of life and makes her decide to continue her work as a volunteer teacher.
(1)、What did Wang do when she met challenges at first?A、She gave up her job quickly. B、She asked her parents for help. C、She kept trying and never gave up. D、She changed her teaching subject.(2)、What does the underlined word"rewarding"in Paragraph 2 mean?A、Helpful and valuable. B、Boring. C、Difficult. D、Dangerous.(3)、What did President Xi Jinping encourage young people to do in his reply?A、To go to universities for further education. B、To share truth,kindness and beauty with the world. C、To become teachers in big cities. D、To take part in different sports activities.(4)、According to Wang,what's the true meaning of life?A、To be a Chinese teacher. B、To go to the western China. C、To be brave to make a decision. D、To be a volunteer and help people in need.(5)、What is the best title for the passage?A、The"Go West"Program in China. B、A Special Primary School in Xinjiang. C、A Volunteer Teacher's Experience and the Meaning of Life. D、How to Face Challenges in Life. -
16、阅读下列短文,从下面每小题所给的A、B、C、D 四个选项中,选出最佳选项。
Come and Help with the City Games
Our City Games will be held from July 20th to July 28th,
2026.We need 2,000 volunteers.The jobs are open to people over 18 years old.Those who have the experience of volunteering in sports events will be chosen first.
Skills needed:
Have good communication skills.
Be good at learning and love trying new things.
Services to offer:
Answer questions.
Take photos of the races.
Guide guests and players.
How to get the job:
Finish an application on the Internet to show us why you are the best person for the job.
Write your personal information like name,ID number and education experiences.
E-mail us at zyzb@2026youth.cn to hand in your application from April 3rd to April 15th.
Make sure if your application is accepted in your mailbox from May 1st to May 10th.
If your application is accepted,you will have an exam.If you are excellent,you can pass the exam and then get ready to take the training lessons in June.
(1)、When can the volunteers work for the City Games?A、On June 20th. B、On July 22nd. C、On July 18th. D、On June 28th.(2)、Who is most likely to become a volunteer for the City Games?A、A 16 -year-old student who has good communication skills. B、A 20 -year-old person with no volunteer experience. C、A 19 -year-old person who loves trying new things and once helped at a school sports meeting. D、A 25 -year-old who is good at taking photos but too shy to speak to people.(3)、How should applicants send their applications?A、By email. B、In person. C、By phone. D、By fax.(4)、What will happen after an applicant's application is accepted?A、They will start working immediately. B、They will take an exam. C、They will receive a gift. D、They will need to send another email.(5)、Why is this notice put up?A、To report the City Games. B、To ask people to do sports. C、To introduce the volunteer training. D、To get volunteers for the City Games. -
17、阅读下面短文,从短文后所给的A、B、C、D 四个选项中,选出能填入相应空白处的最佳选项。
In late 2024,three brothers found a very old comic book in their mother's attic(阁楼).It was Superman 1,the first issue of Superman's own comic series. 1 ,the book was over 80 years old,but it was in excellent condition.In November 2025,it was sold for $9 .12 million,becoming the world's most 2 comic book.
Superman was created by two high school 3 in
1933.Both of the students were still studying at a high school at the time.The brothers knew their mother had a comic collection,but they had never 4 the box before finding the comics.After she died,they found the comics in a cardboard box in the attic.The copy of Superman 1was from the 5 printing.
Why is this comic worth so much?Its excellent condition is one reason. 6 ,it came from the first printing.Most of the 500,000 copies printed are no longer in good 7 because the comic once encouraged children to cut it up.That means very few complete copies remain. That's the 8 reason why this copy is so valuable.
The brothers said the sale is not just about a rare comic.It is about family,and how the past can suddenly find its 9 back to us.Lon Allen,who worked for the auction(拍卖)house, said he was 10 by the sale.He added that this comic was truly the best copy he had ever seen.
(1)A 、Unfortunately B 、Hopefully C 、Surprisingly D 、Directly(2)A 、expensive B 、advanced C 、cheap D 、interesting(3)A 、teachers B 、friends C 、students D 、leaders(4)A 、opened B 、closed C 、moved D 、read(5)A 、first B 、second C 、third D 、fourth(6)A 、However B 、In addition C 、As a result D 、For example(7)A 、form B 、order C 、theme D 、shape(8)A 、same B 、main C 、only D 、simple(9)A 、performance B 、way C 、mind D 、detail(10)A 、worried B 、tired C 、bored D 、amazed -
18、—A friend ____is a friend indeed.
—That's right.
A、in kind B、in need C、in addition -
19、This job ____a lot of hard work.A、reduces B、refuses C、requires
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20、The teacher gave him a ____about being late for class.A、welcome B、warning C、wish