# A better way to learn mathematics - 科目：雅思听力真题（Part 4） - 考频：中频 - 最近考试：2025.8.23 - 题目数：10 - 来源页：https://www.yaquan.site/paper/1363d6b6-0266-4256-bb44-3ffb81b38603（在线机考练习与音频请访问该页面） - 数据更新：2026-10-29 ## 题目原文 00:00:01,260 So today I want to show you how mathematics can be approached in a more practical and engaging way. The lecture is divided into six sections, each illustrating how numbers influence our daily lives and decision-making. 00:00:17,640 To begin, let's consider our homes. Imagine you're renovating a room. You'll need to know the surface area of the floor before you buy any covering. Without these calculations, you may spend too much or too little, and the shop assistant won't be able to cut the right amount of carpet for you. Another example comes from the media. 00:00:40,530 Open any newspaper and you'll find visual illustrations of trends in unemployment, climate, or health. These pictures aren't random decoration. They are graphs designed to summarize numbers in a way the general public can understand. The second area relates to money. Every household faces the challenge of balancing income and expenditure. 00:01:05,180 Creating a financial plan, often called a household budget, allows people to decide how much they can safely spend. But it's not just about tracking what you already use. You also need to make predictions about the future. For example, if you're planning a holiday, you must try to estimate how much it will cost in advance, otherwise you may end up in debt. 00:01:29,260 Now let's turn to research. 00:01:32,300 Scientists and social researchers rarely examine an entire population. Instead, they focus on a smaller group that represents the whole. This limited set of people or objects is known as a sample, and it provides insight without overwhelming the researcher. Of course, no matter how carefully the investigation is carried out, its reliability depends on where the information comes from. If you base your conclusions on weak or biased sources, the findings may be meaningless. The fourth area is technology. In the past, calculations were done with pen and paper, which was slow and error-prone. Today, computers connected through the Internet can process enormous amounts of data instantly, helping us analyze everything from traffic patterns to consumer spending. However, technology is not perfect. Consider the diagrams we use to communicate numerical information. If a chart is poorly designed, for instance, if it uses the wrong scale or distorts proportions, it can lead the reader to completely false conclusions. Moving on to society, governments depend heavily on numbers to plan for the future. For example, by studying changes in birth rates, officials can decide how many schools will be required in ten years' time or how many hospitals will be needed in twenty. Without this information, long-term planning would be impossible. 00:03:03,400 Finally, mathematics is also about clarity. Suppose you want to present a large collection of statistics in the simplest way. Instead of writing long sentences, you can organize the numbers into a table, which allows readers to see the pattern immediately. So, mathematics is a powerful tool we rely on ## 题目与答案 ### 31. A Better Way to Learn Mathematics Home& Daily Life · When buying a 31_____ you must calculate the floor area. A Better Way to Learn Mathematics Home& Daily Life · When buying a 31_____ you must calculate the floor area. **答案**：covering|carpet 原文定位：You'll need to know the surface area of the floor before you buy any covering. Without these calculations, you may spend too much or too little, and the shop assistant won't be able to cut the right amount of carpet for you 同义替换：「calculate the floor area」↔「know the surface area of the floor」 ### 32. · Newspapers often present information in the form of 32_____ . · Newspapers often present information in the form of 32_____ . **答案**：graphs 原文定位：Open any newspaper and you'll find visual illustrations of trends in unemployment, climate, or health. These pictures aren't random decoration. They are graphs designed to summarize numbers in a way the general public can understand ### 33. Money Management · Every household needs to control its 33_____ . Money Management · Every household needs to control its 33_____ . **答案**：budget 原文定位：Creating a financial plan, often called a household budget, allows people to decide how much they can safely spend 同义替换：「needs to control its」↔「allows people to decide how much they can safely spend」 ### 34. · People should try to 34_____ future expenses like holidays. · People should try to 34_____ future expenses like holidays. **答案**：estimate 原文定位：you must try to estimate how much it will cost in advance, otherwise you may end up in debt 同义替换：「future expenses」↔「how much it will cost in advance」 ### 35. Analysing Data · Researchers often study a 35_____ of people to represent the whole population. Analysing Data · Researchers often study a 35_____ of people to represent the whole population. **答案**：sample 原文定位：Scientists and social researchers rarely examine an entire population. Instead, they focus on a smaller group that represents the whole. This limited set of people or objects is known as a sample ### 36. · Reliable results depend on trustworthy 36_____ of information. · Reliable results depend on trustworthy 36_____ of information. **答案**：prices 原文定位：Of course, no matter how carefully the investigation is carried out, its reliability depends on where the information comes from. If you base your conclusions on weak or biased sources, the findings may be meaningless 同义替换：「various」↔「different」；「ignore」↔「rather than just looking at」；「charges」↔「prices」 ### 37. Using Technology · The spread of the 37_____ has made Maths more accessible. Using Technology · The spread of the 37_____ has made Maths more accessible. **答案**：computers 原文定位：In the past, calculations were done with pen and paper, which was slow and error-prone. Today, computers connected through the Internet can process enormous amounts of data instantly, helping us analyze everything from traffic patterns to consumer spending 同义替换：「has made Maths more accessible」↔「can process enormous amounts of data instantly, helping us analyze」 ### 38. · A misleading 38_____ can give the wrong impression of data. · A misleading 38_____ can give the wrong impression of data. **答案**：chart 原文定位：If a chart is poorly designed, for instance, if it uses the wrong scale or distorts proportions, it can lead the reader to completely false conclusions 同义替换：「can give the wrong impression of data」↔「can lead the reader to completely false conclusions」；「misleading」↔「poorly designed」 ### 39. Exploring Society · Governments use statistics such as 39_____ rates to plan services. Exploring Society · Governments use statistics such as 39_____ rates to plan services. **答案**：birth 原文定位：For example, by studying changes in birth rates, officials can decide how many schools will be required in ten years' time or how many hospitals will be needed in twenty 同义替换：「Governments」↔「officials」；「use statistics such as」↔「by studying changes in」 ### 40. Explaining Information · A simple 40_____ of numbers can make complex facts easy to understand. Explaining Information · A simple 40_____ of numbers can make complex facts easy to understand. **答案**：table 原文定位：Instead of writing long sentences, you can organize the numbers into a table, which allows readers to see the pattern immediately 同义替换：「can make complex facts easy to understand」↔「allows readers to see the pattern immediately」 --- 以上内容由鸭圈雅思真题库（www.yaquan.site）提供，收录近期雅思考试真题回忆，支持在线机考模式免费练习。