考点分析
解题技巧
专题突破01 数字与计算（听力专练）
数字与计算类试题是高考英语听力测试中的经典题型，主要考查对数字信息的捕捉、辨别和简单计
算能力。其内容多与日常生活场景相关，包括：日期、时间、年代、年龄、数量、价格、电话号码、门牌
号、航班号等。
常见题型包括：
辨别类：要求直接辨认对话中提到的特定数字。
计算类：需对听到的数字进行简单运算（如加减乘除、折扣、比较）后才能得出答案。
这就要求学生能够区分一些易混音, 如-teen 和-ty. 此外，听时还需留心一些与数字运算有关的信息词,
如：double, twice, half, dozen, quarter, score, plus, minus, add, multiply, divide, cut off, come to, add up
to 等。
常见的提问方式有：
1. What time...? When ...? What size ...?
2. How long ...? How old ...?
3. How fast...? How often...? How much / many ...? How far ...?
4. How soon ...? What is the number of...?
5. What is the price of...? What is the temperature ...?
技巧1 用阿拉伯数字做好记录
在紧张的听力过程中，用单词或汉字记录数字速度慢且容易写错。阿拉伯数字书写速度快、一目了然。
听到任何数字，立即用阿拉伯数字记下。例如，听到 "thirty-five dollars"，立刻写下 35$。如果对话
中涉及多个数字，简单地在数字旁边标注它代表什么。例如：听到原价和折扣：Original: 120$ | Discount:
20%听到不同人的年龄：M: 35 | W: 28 (男35 岁，女28 岁) 这样在最后计算或选择时，可以快速定位信
息，避免混淆。
技巧2 注意数字和日期的读法（聚焦“十几”和“几十”）
这是最常见的出题陷阱，区分它们是听懂数字的前提。
“十几” (-teen)：重音在第二个音节，尾音 /tiːn/ 发音长而清晰，有明显的鼻音 /n/。如：thirteen,
fourteen, fifteen
“几十” (-ty)：重音在第一个音节，尾音 /ti/ 发音短促而轻，像快速说一个“提”字，没有拖长的
鼻音。如：thirty, forty, fifty
实战口诀：“长短音，分重音；有鼻音是十几，没鼻音是几十”。
技巧3 注意信息词以及时间的提前与推后
强化训练
这些关键词直接决定了数字是需要“加”还是需要“减”，是解题的关键。
表示“提前、减少、之前”
( 需用减法
) ：before, ago, early, fast (快), discount (折扣), off, save, less
例句：The meeting is 10 minutes early. (会议提前了10 分钟。)
表示“推后、增加、之后”
( 需用加法
) ：after, later, delay, postpone, slow (慢), more, add, plus,
another, extra
例句：The flight is delayed for 2 hours. (航班延误了2 小时。)
表示“倍数、分数、比较”
( 需用乘除法
) ：twice, double, times, half, one-third, a quarter
例句：The new building is twice as high as the old one. (新楼是旧楼的两倍高。)
技巧4 认真分辨常用来限定数字的表达
这些词times, twice, double, half, two thirds, quarter, couple, pair, as many/much as, discount, dozen
等，本身不是数字，但它们修饰数字，决定了数字的最终含义。
听到这些词要立刻警觉，它们后面的数字或它们修饰的数字很可能需要转换。如：
a pair of/couple of (一双/一对)：a pair of shoes for $80 → 最终价格是80 美元，而不是每只鞋40
美元。
a dozen (一打/12 个)：two dozen eggs → 数量是24 个。
half (一半)：half price → 价格是原价的一半。
double (两倍)：double the amount → 数量是原来的两倍。
20% off/discount (打8 折)：最终价格是原价的80%。
技巧5 确定数字之间的关系，进行简单计算
高考听力数字题99%都需要计算，直接给出答案的选项往往是干扰项。
运用前4 个技巧进行最简单的加减乘除。切记：答案往往不是对话中直接读出的那个数字！
Example (例题思维)：
录音内容：“This book is $20. But today we have a 15% discount for students.”
问题：How much should the student pay?
你的笔记：Price: 20 | Disc: 15%
计算：20 x (1 - 0.15) = 20 x 0.85 = 17
正确选项：$17. 而$20 和$15（混淆15%折扣）都是陷阱选项。
无论是哪种计算，其特点是计算较简单，一般不会超出口算和心算的范围。做题时，最好做简要笔记
。
在做这类题时学生往往容易听到什么就选什么，这样通常会导致错误。
练习 1 听音频，将你听到的数字记录下来。难度：二星
1. _______________
2. _______________
3. _______________
4. _______________
5. _______________
6. _______________
7. _______________
8. _______________
9. _______________
10. _______________
练习2 听音频,在括号内选择听到的序数词。难度：二星
1. Her birthday is on the (4th / 1st) of May.
2. This is the (4th / 5th) time I've called you today.
3. Our team finished in (2nd / 4th) place, so we won a silver medal.
4. Please read the (7th / 6th) paragraph on page ten.
5. The (5th / 4th) patient in the waiting room can now see the doctor.
6. He was the (1st / 3rd) person to arrive at the party.
7. The event has been rescheduled for the (22nd / 20th) of November.
8. The answer to the quiz is in the (9th / 8th) chapter of the book.
9. My seat is in the (10th / 12th) row, near the middle.
10. The (11th / 12th) question on the exam was the most difficult.
练习 3 听音频,在括号内选择听到的数字。难度：三星
1. She is (16 / 60) years old this year.
2. The course lasted for (14 / 40) weeks in total.
3. The famous writer was born in (1917 / 1970).
4. The new building has (15 / 50) floors above ground.
5. I need to withdraw (170 / 117) dollars from the ATM.
6. The temperature dropped to (13 / 30) degrees last night.
7. The bus ride to the city center takes about (18 / 80) minutes.
8. His grandfather fought in the war that ended in (1918 / 1945).
9. The company was founded by (19 / 90) partners.
10. The final score of the basketball game was (70 / 17) to sixty-eight.
11. The meeting is scheduled to begin at (9:13 / 9:30) tomorrow morning.
12. Her great-grandmother was born in (1916 / 1960).
13. The price of the concert ticket is ($17.50 / $70.50).
14. Please dial (591-3417 / 591-3419) to reach the customer service department.
15. The (15th / 50th) anniversary of the company is next week.
16. The maximum capacity of the elevator is (1130 / 1300) kilograms.
17. The famous battle took place in the year (1714 / 1740).
18. He lives at (5062 / 1562) Green Street, York.
19. The (14th / 40th) President of the United States was Franklin Pierce.
20. The flight delay lasted for (1 hour 15 minutes / 1 hour 50 minutes).
练习 4 听音频，回答以下的问题。难度：四星
1. When will we meet?
A. 7:15.
B.7:30.
C. 7:45.
2. When is the report due now?
A. Wednesday.
B. Friday.
C. Sunday.
3. What time will the shop close today?
A. 8:30 p.m.
B.9:00 p.m.
C. 9:30 p.m.
4. When was the project finished?
A. October 22th.
B. October 25th.
C. October 28th.
5. What time did the concert actually begin?
A. 7:40.
B.8:00.
C. 8:20.
6. What is the actual time if her watch shows 3:00?
A. 2:55.
B.3:00.
C. 3:05.
7. What is the new departure time?
A.10:15.
B.10:45.
C. 11:15.
8. What time will the cake be ready?
A. 2:10.
B.2:40.
C. 2:50.
9. What is the new meeting time?
A. 1:30 p.m.
B. 3:00 p.m.
C. 3:30 p.m.
10. When did the package finally arrive?
A. Monday.
B. Wednesday.
C. Friday.
练习 5 听音频，回答以下的问题。难度等级：五星
1. How many tickets can you get for $50?
A. 1.
B. 5.
C. 12.
2. What is the standard length of an Olympic-sized pool?
A. 25m.
B. 50m.
C. 100m.
3. Approximately how many engineers work at the company?
A. 60.
B. 40.
C. 20.
4. How much flour is needed for the recipe?
A. 1.5 cups.
B. 1 cup.
C. 0.5 cup.
5. How does the size of the new screen compare to the old one?
A. It's half the size.
B. It's twice the size.
C. It's three times the size.
6. How many students passed the test?
A. 100.
B. 75.
C. 25.
7. What is the sale price after the discount?
A. $ 200.
B. $ 160.
C. $ 20.
8. How old is Mike’s sister?
A. 19.
B. 16.
C. 3.
9. How much deeper is the river now?
A. 10 meters.
B. 20 meters.
C. 200 meters.
10. How much will it cost to buy one pen and one notebook?
A. $ 1.5.
B. $ 2.5.
C. $ 4.
练习 6 听下面30 段对话。每段对话后有一个小题，从题中所给的A、B、C 三个选项中选出最佳选项。听
完每段对话后，你都有10 秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。
难度等级：四星
1. How much does the woman have to pay altogether?
A. Eight dollars.
B. Ten dollars.
C. Eleven dollars.
2. When will the speakers have to check the tickets?
A. At 9:00.
B. At 8:00.
C. At 7:30.
3. What time will the woman get her bags onto the bus?
A. At 7:30 a.m.
B. At 8:00 a.m.
C. At 8:30 a.m.
4. How old is the woman now?
A. 10.
B. 12.
C. 18.
5. When will the hotel deliver the man’s food?
A. 6:43.
B. 7:00.
C. 7:03.
6 How many degrees does the temperature increase?
A. 25 degrees.
B. 20 degrees.
C. 5 degrees.
7. How many mistakes did the woman make?
A. Three.
B. Four.
C. Five.
8. How old will Emily be this year?
A. 30 years old.
B. 31 years old.
C. 32 years old.
9. When did the woman get the birthday gift from her grandma?
A. Two weeks ago.
B. A month ago.
C. One and a half months ago.
10. According to the man, when will the woman’s song play?
A. Within three minutes.
B. Within one minute.
C. Within thirty seconds.
11. How many times has the man called in total?
A. Ten.
B. Thirteen.
C. Fifteen.
12. How long has the woman been waiting?
A. Half an hour.
B. Fifty minutes.
C. One hour.
13. How long will the man drive?
A. For six hours.
B. For eight hours.
C. For twelve hours.
14. What is the total amount the woman will pay?
A. $120.
B. $100.
C. $50.
15. How much longer will the man stay?
A. For one hour.
B. Until six o’clock.
C. Until he receives a call.
16. How much could the woman save according to the man?
A. 15 bucks.
B. 20 bucks.
C. 30 bucks.
17. What time will the woman arrive?
A. At 1:45 pm.
B. At 2:00 pm.
C. At 2:15 pm.
18. What is the time now?
A. 8:00.
B. 8:30.
C. 9:00.
19. What’s the time now?
A. 8:30.
B. 8:20.
C. 8:00.
20. How much is a pound of tomatoes now?
A. Thirty cents.
B. Eighty cents.
C. One hundred and ten cents.
21. When did the man get to the conference yesterday?
A. At 2:00.
B. At 2:30.
C. At 1:30.
22. What’s the fare for the woman’s daughter?
A. $60.
B. $120.
C. $180.
23. How many men are there in the man’s company?
A. About 20.
B. About 80.
C. About 40.
24. When will the speakers get to New York?
A. At 8:10.
B. At 8:30.
C. At 8:50.
25. When does the supermarket close?
A. At 8:30.
B. At 8:35.
C. At 7:55.
26. How many science courses did the woman take in high school?
A. One.
B. Two.
C. More than two.
27. At what time does the train to Leeds leave?
A. 3:00.
B. 3:15.
C. 5:00.
28. How many countries has the woman been to so far?
A. Two.
B. Three.
C. Four.
29. How long did Jack Dolan stay here?
A. A day.
B. A week.
C. A month.
30. How much will the man pay for two general tickets and two students’ tickets?
A. $20.
B. $30.
C. $40.
练习答案及录音原文
练习 1
1. Gate 45 或 45
2. ¥67.50 或 67.5 元
3. 18F, Rm 102 或 18, 102
4. 9am-9pm ( weekends)
5. Museum ticket: $15 (student)
6. Tel: 555-0823 (after 7)
7. Pop: ~120,000 或 120k
解析：“Pop”是Population 的常用缩写，“~”表示“大约”。
8. Wgt: 2.5 kg
解析：“Wgt”是Weight 的缩写，记录数字和单位。
9. Exam: 120 min 或 120m
解析：记录事件和持续的时间。
10. Platform 13 或 13
练习 2
1. 1st - 注意听 /fɜːrst/ 的发音
2. 5th - 注意听 /fɪfθ/ 的短音和尾音/θ/
3. 2nd - 注意听 /ˈsekənd/ 的开头音/s/和重音
4. 7th - 注意听 /ˈsevənθ/ 的开头音/s/和音节数
5. 4th - 注意听 /fɔːrθ/ 的长元音/ɔːr/和尾音/θ/
6. 3rd - 注意听 /θɜːrd/ 的开头咬舌音/θ/
7. 20th - 注意听 /ˈtwentiɪθ/ 的重音在twen-，不是-ty
8. 8th - 注意听 /eɪtθ/ 的双元音/eɪ/和独特的/tθ/尾音
9. 12th - 注意听 /twelfθ/ 的/elf/音和/θ/尾音
10. 11th - 注意听 /ɪˈlevənθ/ 的重音在-leventh，有三个音节
练习 3
1. 16 - 重音在-teen，音拖长
2. 40 - 重音在for-，音短促
3. 1970 - seventy 音短促
4. 15 - 重音在-teen，音拖长
5. 170 - seventy 音短促
6. 30 - 重音在thir-，音短促
7. 80 - 重音在eight-，音短促
8. 1918 - eighteen 重音在-teen，音拖长
9. 90 - 重音在nine-，音短促
10. 70 - seventy 音短促
11. 9:30 - 重音在thir-，音短促
12. 1960 - sixty 音短促
13. $17.50 - 重音在-teen，音拖长
14. 591-3417 - 注意区分seven 和nine 的尾音
15. 50th - 重音在fif-，音短促
16. 1300 - thirteen 重音在-teen，音拖长
17. 1740 - forty 音短促
18. 1562 - fifteen 重音在-teen，音拖长
19. 14th - 重音在-teen，音拖长
20. 1 hour 50 minutes - fifty 音短促
练习 4
1. A
2. C
3. C
4. A (需结合原定日期计算，此题主要训练听到“ahead of”意识到要“减”)
5. C (8:00 + 0:20 | 她的实际时间比计划迟20 分钟)
6. A (3:00 - 0:05 | 她的实际时间比手表显示慢5 分钟)
7. B (a quarter to eleven)
8. B (2:10 + 0:40)
9. A (提前了)
10. C (今天是原定日期+2 天)
练习 5
1. C (理解a dozen=12)
2. B Olympic pool: 50m (25 x 2)
3. C (60 ÷ 3)
4. A
5. B (新屏幕尺寸是旧屏幕的2 倍)
6. B (a quarter=1/4, 100 x 1/4=25)
7. B (200 x 0.8)
8. B (19-3)
9. C (新深度是原深度的10 倍)
10. C ($1.50 + $2.50).
练习 6
1—5 CCACA
6—10 CAABA
11—15 BCABC
16—20 BAACC
21—25 BACCA
录音原文
练习 1
1. The flight to Paris departs at gate 45 (forty-five).
2. The dictionary costs ¥67.50 (sixty-seven yuan and fifty fen).
3. My apartment is on the 18th (eighteenth) floor, room number 102 (one-zero-two).
4. The library is open from 9:00 a.m. to 9:00 p.m. (nine a.m. to nine p.m.) on weekends.
5. The discount ticket for the museum is $15 (fifteen dollars) for students.
6. Please call me at 555-0823 after 7:00 p.m. (five-five-five, zero-eight-two-three after seven).
7. The population of the town has grown to about 120,000 (one hundred and twenty thousand).
8. The weight of the package is exactly 2.5 kg (two point five kilograms).
9. The exam will last for 120 (one hundred and twenty) minutes.
10. The train is now arriving on platform 13 (number thirteen).
练习 2
1. Her birthday is on the 1st (first) of May.
2. This is the 5th (fifth) time I've called you today.
3. Our team finished in 2nd (second) place, so we won a silver medal.
4. Please read the 7th (seventh) paragraph on page ten.
5. The 4th (fourth) patient in the waiting room can now see the doctor.
6. He was the 3rd (third) person to arrive at the party.
7. The event has been rescheduled for the 20th (twentieth) of November.
8. The answer to the quiz is in the 8th (eighth) chapter of the book.
9. My seat is in the 12th (twelfth) row, near the middle.
10. The 11th (eleventh) question on the exam was the most difficult.
练习 3
1. She is sixteen years old this year.
2. The course lasted for forty weeks in total.
3. The famous writer was born in nineteen seventy.
4. The new building has fifteen floors above ground.
5. I need to withdraw one hundred and seventy dollars from the ATM.
6. The temperature dropped to thirty degrees last night.
7. The bus ride to the city center takes about eighty minutes.
8. His grandfather fought in the war that ended in nineteen eighteen.
9. The company was founded by ninety partners.
10. The final score of the basketball game was seventy to sixty-eight.
11. The meeting is scheduled to begin at 9:30 tomorrow morning.
12. Her great-grandmother was born in 1960 (nineteen sixty).
13. The price of the concert ticket is $17.50 (seventeen fifty).
14. Please dial 591-3417 (five-nine-one, three-four-one-seven) to reach the customer service department.
15. The 50th (fifti-eth) anniversary of the company is next week.
16. The maximum capacity of the elevator is 1300 (thirteen hundred) kilograms.
17. The famous battle took place in the year 1740 (seventeen forty).
18. He lives at 1562 (fifteen sixty-two) Green Street, York.
19. The 14th (fourteenth) President of the United States was Franklin Pierce.
20. The flight delay lasted for 1 hour 50 minutes (one hour fifty minutes).
练习 4
1. The movie starts at 7:30, but let's meet fifteen minutes earlier.
2. The report is due on Friday, but the professor gave us a two-day extension.
3. The shop usually closes at 9:00 p.m., but today it will close half an hour later.
4. The project was finished three weeks ahead of October 25th schedule.
5. The concert was supposed to begin at 8:00, but it was delayed by 20 minutes.
6. Her watch is 5 minutes fast, so she's always early.
7. The flight was scheduled for 10:15, but it's been postponed until a quarter to eleven.
8. The cake needs to bake for 40 minutes. I put it in the oven at ten past two.
9. The meeting was moved forward from 3:00 p.m. to 1:30 p.m.
10. The package should have arrived on Wednesday, but it's two days late.
练习 5
1. The price of a single ticket is $5, but a dozen tickets cost $50.
2. The length of the pool is 25 meters, which is half the Olympic size.
3. We have 60 employees, about 1/3 of them are engineers.
4. This recipe calls for 1.5 cups of flour.
5. The new screen is twice as big as the old one.
6. 1/4 of the students, that's 25 out of 100, passed the test.
7. The original price is $200, but you can get 20% off.
8. Mike is 19 years old and his sister is 3 years younger than him.
9. The river, which was originally 20 meters deep, is now ten times deeper after the heavy rain.
10. A pen costs $1.50. A notebook costs $2.50.
练习 6
Text 1
W: I’d like to buy some apples.
M: All right. The big apples are two dollars each and the smaller ones are one dollar each.
W: OK, give me four big ones and three smaller ones, please.
Text 2
M: We can choose the 9 o’clock train and arrive in Manchester at 12:00. Is it OK?
W: Why not start earlier? I would like the 8 o’clock train.
M: OK. But we have to check our tickets half an hour early.
Text 3
W: When are we leaving for our field trip?
M: We are scheduled to(计划) leave at 8:00 a.m. next Monday. But we need to start loading the buses half
an hour early.
W: OK. I will be there on time.
Text 4
M: When was the first time you knew about the Internet?
W: It was 10 years ago when I was 8. How about you?
M: I knew it when I was 12 years old, my mom bought me a computer. And I loved to play games.
Text 5
W: Hello. What can I do for you?
M: Well. I’d like to order a grilled chicken sandwich and a small salad. How long will it take?
W: Oh, it shouldn’t be more than about 30 minutes. And now, it’s six thirteen.
M: Alright. Thank you.
Text 6
W: It’s so cold in this house! It feels like it’s 40 degrees in here!
M: It’s only 60 degrees. I’ll turn it up to 65. There, is that better?
Text 7
M: Pull over! You don’t know how to drive and it’s scaring me! You’ve already run through two red lights, and you
didn’t stop at that stop sign!
W: I’m driving fine! Stop worrying so much. Three mistakes aren’t that many. People usually make four or five
mistakes while driving!
Text 8
M: How old is Emily turning this year? Didn’t she just have her 30th birthday last year?
W: No, she turned 29 last year. This year is her 30th. Maybe you are thinking of her sister, who will be 31 this
year.
Text 9
M: Did you send your grandma a thank-you card yet? It’s been a month since she gave you that present for
your birthday.
W: Yes, I put it in the mail two weeks ago. Hopefully, she will get it sometime this week.
Text 10
W: I called into the radio station a minute ago and asked them to play my favorite song next.
M: That sounds fun. Well, the song that’s playing now has been on for thirty seconds, so your song should come
on in the next three minutes.
Text 11
M: No, do not hang up(挂断电话) again! This is the third time I’ve called you today.
W: Sir, please wait. I’m going to put you on hold(等候接听).
M: No, no. Listen to me. I called you ten times yesterday, too! Wait!
Text 12
M: I’m sorry to have kept you waiting so long. What time did you get here?
W: I got here at 9:30. What time is it now?
M: Let me see… It is 10:30.
Text 13
W: It’s a 12-hour drive. Let’s do the driving in turn. I’ll drive the first half, and you drive the second half, all
right?
M: OK, honey.
Text 14
W: Oh, this dress. I must have this dress.
M: That’s $50. For $60, I can give you the dress and a hat.
W: No, thanks. I’ll just take two of these dresses.
Text 15
M: I have a plane to catch at six. I need to get going soon.
W: Please, sir. Can I have an hour or so of your time?
M: I can talk to you until my car arrives downstairs. They are going to call me.
Text 16
W: Can you believe I just have to pay 35 bucks for a haircut in Center Hill?
M: You should try the salon where I go. It’s only 15 bucks.
Text 17
M: Would you like to go skating on Sunday afternoon?
W: Sounds nice! What time?
M: How about 2 o’clock?
W: OK. I’ll be there 15 minutes earlier.
Text 18
M: Hello.
W: Hello. Can I help you?
M: Yes, I want to know why there’s no electricity.
W: Sorry, Sir. There’s been a power cut.
M: Well, when will it come on again?
W: It’s usually off for about half an hour, so we expect it back at 8:30.
Text 19
W: When is the meeting supposed to start?
M: Don’t worry. It won’t start until 8:30. We’ve still got 30 minutes.
Text 20
W: I thought that your tomatoes are eighty cents a pound.
M: They used to be, but the price has gone up thirty cents.
Text 21
W: Bob, it is too early to start the conference at 1:00 pm.
M: No, the conference has been rescheduled to 2:00 pm, and I was still 30 minutes late yesterday.
Text 22
W: How much will it cost my daughter and me to go to New York?
M: It’s $120 full fare for you and half fare for your daughter.
Text 23
W: Could you tell me how many of your employees are women?
M: Yes, certainly. We have a very high percentage of female staff. We employ about 160 women, which is 80%
of all our staff.
Text 24
W: When will we arrive in New York?
M: Let me see. It’s eight thirty now. I think our plane will land in twenty minutes.
Text 25
M: Mary, I think we’d better go home now.
W: I was hoping to get some fruit from the supermarket before it closes.
M: It’s 7:55. So we have about 35 minutes left.
Text 26
M: How many years of science did you have in high school?
W: I had only one year each of Biology and Chemistry. I wish I’d had more.
Text 27
W: Excuse me. Could you tell me when the next train to Manchester is?
M: Sure. Well, it’s three now. The next train to Manchester leaves in two hours. You can take a train
to Leeds which leaves in fifteen minutes. And then get off at Manchester because it stops at
Manchester on the way.
Text 28
M: Have you ever been to America?
W: I wish to someday. Up to now, I’ve been to England, Korea and China.
M: America is really worth visiting. I’ve just been back.
Text 29
M: Is there a Jack Dolan staying here?
W: Not any more.
M: What do you mean?
W: Well, sir, he checked in on Thursday, May 8th and out at noon the next Thursday.
Text 30
M: Excuse me, how much are the tickets?
W: They’re ten dollars each for the general public, but students’ tickets are half-price. How many tickets do
you want?
