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参考答案
一、词汇运用：单项选择（每小题 1 分，共 10 分）
1 2 3 4 5 6 7 8 9 10
C B A D A B C D A B
二、词汇运用：适当形式填空（每小题 1 分，共 10 分）
11 12 13 14 15 16 17 18 19 20
agreement hesitation Currently exactly wisdom faster challenging symbols amazing counting
三、完形填空（每小题 1 分，共 10 分）
21 22 23 24 25 26 27 28 29 30
A B C D C A D A B C
四、阅读理解（每小题 2 分，共 30 分）
31 32 33 34 35 36 37 38 39 40
B D C C B A B A C B
41 42 43 44 45
B B C A D
五、六选五（每小题 2 分，共 10 分）
46 47 48 49 50
B A E C F
六、语法填空（每小题 1 分，共 30 分）
51 52 53 54 55 56 57 58 59 60
and African length third highest hundred the second wonderful amazing
61 62 63 64 65 66 67 68 69 70
challenged promised hesitation the squares agreed hundred and realized doubling
71 72 73 74 75 76 77 78 79 80
first two made represented ten faster exactly easier important proud八年级上册 Unit 2 Amazing numbers 综合练习
（满分 100 分 · 建议用时 90 分钟）
班级： 　　姓名： 　　得分：
一、词汇运用：单项选择（第 1–10 题，每小题 1 分，共 10 分）
1. Yesterday my classmate me to a chess game, and I accepted the challenge.
A. promised B. ordered C. challenged D. replied
2. If you finish the game first, you'll win a .
A. price B. prize C. praise D. pride
3. My friend to lend me her storybook as soon as she finishes reading it.
A. promised B. wondered C. hesitated D. replied
4. When the little girl fell down, a young man rushed over to help her .
A. in surprise B. in danger
C. without luck D. without hesitation
5. I often what people's lives were like in ancient times.
A. wonder B. agree C. challenge D. double
6. The old man asked for rice gold or silver.
A. because of B. instead of C. out of D. ahead of
7. In the Roman number system, the letter X the number ten.
A. requires B. realizes C. represents D. replies
8. Please write down the number on the price tag as it is.
A. sharply B. currently C. finally D. exactly
9. The price of this fruit in winter because it is hard to grow.
A. doubles B. checks C. counts D. agrees
10. The chart shows that the price of vegetables will next month.
A. go down B. go up C. write down D. count down
词汇运用：适当形式填空（第 11–20 题，每小题 1 分，共 10 分）
根据句子意思，用所给单词的适当形式填空。
11. After a long discussion, the two sides finally reached an 11 . (agree)
12. “No, just rice,” the old man replied without 12 . (hesitate)
13. 13 , the museum receives more than two million visitors a year. (current)
14. We don't know 14 how many animal species there are on Earth. (exact)
15. The king should have listened to the old man's 15 . (wise)
16. The new counting system was much 16 than tally sticks. (fast)
17. The king found the game more 17 than he had expected. (challenge)
18. The ancient Indians used abstract 18 to represent different numbers. (symbol)
19. It is 19 how quickly the numbers on the chessboard grow. (amaze)
20. Tally sticks were a slow method for 20 large numbers. (count)
三、完形填空（第 21–30 题，每小题 1 分，共 10 分）
阅读下面短文，掌握其大意，然后从各题所给的 A、B、C、D 四个选项中选出最佳选项。
How many numbers do you use every day Phone numbers, prices, bus numbers, the time on the clock — it is hard to imagine modern life without numbers. But have you ever wondered where they came from The story of numbers is much longer and stranger than most people think.
Long, long ago, people did not have written numbers at all. When a farmer counted his sheep at the end of the day, he needed a way to the numbers. One of the earliest answers was the tally stick. For every sheep that walked past him, the farmer cut one mark on a piece of wood. In this system, each stick one animal — one mark, one sheep; two marks, two sheep.
This simple method is called “one-to-one correspondence”, and it works well for small numbers. But it has a serious . Counting large numbers takes far too long. To write the number one thousand, a person had to draw separate marks on the wood — and then count them all again to check. Nobody wants to do that twice a day.
The great change came in ancient India. There, people a completely different system: ten abstract , from 0 to 9, which could be combined to represent any number, however large. Writing “one thousand” now needed just four quick marks instead of a thousand cuts. Suddenly, recording numbers was much than ever before.
The new system then travelled west the Arab traders and scholars, who used it in business and mathematics. When Europeans learned it from them, they called the symbols “Arabic numerals” — a name that is still used today, even though the system was actually born in India.
The ancient Romans, of course, had their own system, which used from their alphabet: I means 1, V means 5, X means 10, and so on. You can still see Roman numerals on clock faces, old buildings and in books. However, they are to use for large numbers — try writing 2026 in Roman numerals, and you will quickly understand why.
Today, Arabic numerals have spread across the whole world, and nearly everyone uses them every single day. From a farmer's wooden stick to the screen of your phone, the story of numbers reminds us how clever human beings can be.
(21) A. write down B. turn off C. give up D. put up
(22) A. waited for B. stood for C. looked for D. paid for
(23) A. advantage B. prize C. problem D. schedule
(24) A. hundred B. billion C. million D. thousand
(25) A. forgot B. destroyed C. developed D. refused
(26) A. symbols B. schedules C. systems D. subjects
(27) A. slower B. harder C. cheaper D. faster
(28) A. thanks to B. instead of C. out of D. ahead of
(29) A. pictures B. letters C. numbers D. grains
(30) A. natural B. popular C. difficult D. Convenient
四、阅读理解（第 31–45 题，每小题 2 分，共 30 分）
A
A long time ago, there was a king in India. The king's favourite game was chess, and he believed that nobody in his country played it better than he did. One day, a wise old man came to the palace. The king challenged him to a game. “You can have any prize if you win the game,” the king promised, feeling quite sure of himself.
The old man thought for a moment and then said slowly, “If I win the game, I would like one grain of rice for the first square of the chessboard, two for the second, four for the third, and so on. I would like you to double the amount for each of the rest of the squares.” The king was very surprised. “Is that all ” he asked. “Wouldn't you like gold or silver instead ” “No, just rice,” the old man replied without hesitation.
“How many grains of rice will this be ” the king wondered. There are 64 squares on a chessboard, so the king counted in his head: one, two, four, eight, sixteen ... “Perhaps a bag of rice will be enough,” he thought. After thinking about it for a moment, the king agreed.
The king and the old man played the game for a long time. Finally, the old man won, so the king ordered his men to collect a bag of rice. The king's men put one grain on the first square, two on the second, and so on. But after a few squares, the king realized the problem — even with all the rice in the country, he would still not have enough rice to put on the chessboard!
It is hard to believe, but the rice needed for the last square alone would weigh billions of kilograms — far more than the whole world produces in a year. The wise old man knew this all along. The king, on the other hand, had promised without thinking carefully. Small numbers, when doubled again and again, can grow into something amazingly huge.
31. Why did the king promise the old man any prize
A. Because the old man was his old friend. B. Because he was quite sure that he would win the game.
C. Because the prize the old man asked for was small. D. Because he wanted to learn chess from the old man.
32. Which of the following is the old man's request
A. One bag of rice for each square. B. One grain of rice for each square.
C. Gold and silver instead of rice. D. Double the amount of rice for each of the rest of the squares.
33. When the king first heard the request, he felt .
A. angry B. worried C. surprised D. afraid
34. The king realized his problem .
A. when he promised the prize B. while he was counting in his head
C. after a few squares were filled with rice D. before the game began
35. What does the story mainly tell us
A. We should never play chess with strangers. B. Numbers can grow surprisingly fast when doubled.
C. Old people are always wiser than kings. D. Rice was more valuable than gold in ancient India.
B
Have you ever noticed that some numbers appear again and again in the world around us One famous set of numbers is called the Fibonacci sequence. It is named after Fibonacci, an Italian mathematician who was born in the city of Pisa in the twelfth century. As a young man, he travelled widely with his father, a trader, and learned mathematics from Arab scholars — the same scholars who had spread Arabic numerals across the world.
Fibonacci created a famous problem about rabbits to explain his sequence. Suppose that a pair of baby rabbits is put in a field. Rabbits can have babies only after two months, and every month after that they produce a new pair. Count the pairs of rabbits month by month, and the numbers grow like this: 1, 1, 2, 3, 5, 8, 13, 21 ... Look closely, and you will find the pattern: each new number is simply the sum of the two numbers before it.
What is truly surprising is where these numbers appear in nature. Look closely at a pine cone, and you will find two sets of spirals on its surface — one going clockwise and the other going counterclockwise. The number of spirals in each set is usually a pair of Fibonacci numbers, such as 5 and 8, or 8 and 13. Tree branches follow the sequence as well: count the branches year by year, and you get 1, 1, 2, 3, 5 ... The same pattern has even been found in the way some flowers arrange their seeds.
Because of this, Fibonacci numbers are sometimes called “nature's secret code”. Artists and architects have used the sequence in their works, believing that it creates a natural sense of beauty. Scientists, on the other hand, are still not completely sure why so many living things follow the same simple pattern. Perhaps nature, like the old man in the chessboard story, understands the power of numbers better than we do.
36. What do we know about Fibonacci from Paragraph 1
A. He was born in the twelfth century in Pisa. B. He invented Arabic numerals himself.
C. He learned mathematics from his grandfather. D. He never left his hometown as a young man.
37. What is the pattern of the Fibonacci sequence
A. Each number is twice the one before it. B. Each number is the sum of the two numbers before it.
C. Each number is three more than the one before it. D. Each number is the largest of the three before it.
38. Which of the following is the correct order of the events
① Fibonacci learned mathematics from Arab scholars. ② Fibonacci was born in Pisa. ③ The rabbit numbers grow: 1, 1, 2, 3, 5, 8. ④ People found Fibonacci numbers on pine cones and branches.
A. ②①③④ B. ①②③④ C. ②③①④ D. ①③②④
39. On a pine cone, the numbers of the two sets of spirals are usually .
A. 1 and 2 B. 3 and 4 C. 5 and 8 D. 4 and 7
40. What can we infer from the last paragraph
A. Scientists have fully explained why nature follows the sequence. B. People may find the sequence beautiful in art and buildings.
C. The old man in the chessboard story created the sequence. D. Fibonacci numbers only appear in maths problems.
C
Numbers are everywhere in our daily lives. The moment we wake up, we check the time on the clock. On the way to school, we read bus numbers and street names. In the supermarket, we compare price tags; at the airport, we look for our flight on the departure schedule. A single day without numbers would be almost impossible to get through.
Numbers also tell us how the world is changing. News reports are full of percentages: “Prices went up by 3.2 per cent last month.” “Ninety-eight per cent of families now have a smartphone.” Charts and graphs in the news turn these numbers into pictures, so that a sharp rise or a slow fall can be seen at a glance. Without such charts, a page full of numbers would be difficult for ordinary readers to understand.
However, numbers can also trick us if we are not careful. That is why we need to keep an eye on them. When you plan to buy something expensive, check your budget first — how much money can you really spend When you see a surprising number in the news, ask where it came from. A number from a reliable source is far more trustworthy than one that is simply repeated everywhere.
Remember the king in the old story He promised the old man “any prize” without thinking, because he had no idea how fast numbers can grow. In the end, even all the rice in his country could not cover the chessboard. We may not lose bags of rice, but we can make equally bad decisions if we do not understand the numbers behind our choices — from phone plans to electricity bills.
In short, numbers are a kind of language. Those who learn to read this language can make wiser decisions, see through misleading advertisements and understand the world more clearly. Learning maths is not only about passing exams; it is about making sense of the world we live in.
41. tWhat does the underlined phrase keep an eye ont in Paragraph 3 probably mean
A. Look away from B. Pay close attention to
C. Draw pictures of D. Speak highly of
42. The writer mentions the king's story in Paragraph 4 mainly to .
A. explain why the king loved playing chess B. show what can happen if people do not understand numbers
C. prove that rice was the most important prize in ancient India D. teach readers how to play chess well
43. According to the passage, what should you do before buying something expensive
A. Compare bus numbers. B. Read flight schedules.
C. Check your budget. D. Count the price tags.
44. What can we learn from Paragraph 2
A. Charts help people see changes in numbers more easily. B. All families now have two smartphones.
C. Prices went up by 98 per cent last month. D. News reports never use numbers.
45. What is the writer's attitude towards learning to read numbers
A. Doubtful. B. Uninterested. C. Worried. D. Supportive.
五、六选五（第 46–50 题，每小题 2 分，共 10 分）
根据短文内容，从短文后的选项中选出可以填入空白处的最佳选项，选项中有一项为多余选项。
Why do some students understand numbers easily while others find them confusing The difference usually lies in how they think about numbers. 46 The following tips may help you make friends with numbers.
First, compare a big number with something familiar. 47 The king had to double one grain of rice for each square of the chessboard, and by the 64th square, the rice needed would weigh more than the whole world produces in a year. Suddenly, the huge number becomes easy to imagine.
Second, look for patterns. 48 Once you notice that each number is the sum of the two before it, a frightening list of numbers turns into a simple game.
Third, turn numbers into pictures. 49 A line graph can show whether prices are going up or going down much more clearly than a long table of figures.
Finally, do not trust every number you see. 50 A number from a reliable source is worth trusting; a number that nobody can explain is worth doubting.
A. Think about the story of the old man and the king.
B. The good news is that thinking with numbers can be trained.
C. Charts and graphs are useful tools for this.
D. Playing chess with friends is a popular hobby around the world.
E. Many numbers in nature follow the same simple rule, like 1, 1, 2, 3, 5, 8.
F. Before you believe a surprising number, check where it comes from.
六、语法填空（第 51–80 题，每小题 1 分，共 30 分）
阅读下面三篇短文，在空白处填入 1 个适当的单词或括号内单词的正确形式。
The world's longest rivers and highest mountains（U2 语法板块语境）
Nature is full of amazing numbers. The Nile River in Africa is about 6,671 kilometres long — in words, six thousand six hundred 51 seventy-one. It runs through eleven 52 (Africa) countries on its way to the sea, and it is the longest river in the world. The Amazon in South America comes second. The Yangtze in China, famous for its 53 (long) of about 6,300 kilometres, is the 54 (three) longest.
Mountains tell number stories too. Mount Qomolangma, on the border between China and Nepal, is the 55 (high) mountain on Earth: eight thousand eight 56 and forty-eight point eight six metres. K2, 57 58 (two)-highest mountain in the world, is only about 233 metres lower.
Numbers like these follow the rules of cardinal numbers: never add -s to hundred or thousand, and always use “and” in the right place. With these simple rules, we can describe our 59 (wonder) world — from the deepest ocean to the highest mountain. It is 60 (amaze) how much nature can teach us about numbers.
The old man and the king（Reading 课文改编）
A long time ago, there was a king in India whose favourite game was chess. One day, a wise old man came to the palace, and the king 61 (challenge) him to a game. “You can have any prize if you win,” the king 62 (promise). The old man thought for a moment and replied without 63 (hesitate): one grain of rice for the first square of the chessboard, two for 64 second, four for the third, and so on. In other words, the king had to double the amount for each of the rest of the 65 (square).
It seemed like a small prize, so the king 66 (agree) at once. The game lasted a long time. Finally the old man won, and the king's men began to put rice on the squares — one grain, two grains, four grains ... By the tenth square, they had counted more than five 67 grains, and on the eleventh square alone there were one thousand 68 twenty-four. The king soon 69 (real) the problem: even with all the rice in his country, he could not fill the chessboard. The story shows how quickly numbers can grow when you keep 70 (double) them.
Counting rods in ancient China（Focusing on culture 板块语境）
Long before calculators were invented, the Chinese were already good at working with numbers. In fact, the Chinese were among the 71 people in the world to use a decimal system. More than 72 thousand years ago, they used a tool called counting rods (算筹) — small sticks, usually 73 (make) of bamboo or bone. People laid the rods out on a board or a table, and each position 74 (represent) a different value. The whole system was based on 75 , so huge numbers could be shown with just a few rods.
Arranged in vertical and horizontal forms, the rods made calculations much 76 (fast) than counting on fingers. For centuries, Chinese mathematicians used the rods to record results 77 (exact) — everything from taxes to the movement of the stars. Later, the abacus developed from the rods and became even 78 (easy) to carry and use.
Today, counting rods have long disappeared, but they remain an 79 (importance) part of the history of mathematics, and Chinese people are justly 80 (pride) of this clever invention.

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