📚 Year 8 SQA Advanced Maths: Speaking & Listening Prep | Year 8 SQA 进阶数学：口语/听力备考专项
In the SQA mathematics curriculum, speaking and listening skills are essential for explaining your reasoning clearly, understanding verbal problems, and collaborating with others. This guide will help you build confidence in using mathematical English through targeted practice for both the speaking and listening components of the exam.
在SQA数学课程中，口语与听力技能对于清晰地解释你的推理过程、理解口头提出的问题以及与他人合作至关重要。本指南将通过针对性的练习帮助你建立使用数学英语的信心，为考试中的口语与听力部分做好准备。
1. Understanding the Exam Format | 理解考试形式
The speaking and listening test typically includes three parts: a short presentation on a mathematical topic, a question-and-answer session with the examiner, and a listening comprehension where you must extract key information from a spoken problem.
口语与听力测试通常包含三个部分：围绕一个数学话题的简短展示、与考官的问答环节，以及需要从口头问题中提取关键信息的听力理解。
You will be assessed on your fluency, accuracy of mathematical vocabulary, and your ability to listen for specific details such as numbers, operations, and logical steps.
你将被评估流利度、数学词汇的准确性，以及你能听出具体细节（如数字、运算和逻辑步骤）的能力。
2. Key Vocabulary for Mathematical Speaking | 数学口语关键词汇
Memorising the correct English terms for mathematical operations and concepts is the first step. For speaking, you need to pronounce and use these words naturally.
记住数学运算和概念的准确英语术语是第一步。对于口语，你需要自然地发音和使用这些词汇。
- Addition: add, sum, plus, total, increase by
- Subtraction: subtract, minus, difference, decrease by, take away
- Multiplication: multiply, times, product, double, triple
- Division: divide, divided by, quotient, share equally
- Equality/inequality: equals, is equal to, is greater than, is less than, not equal to
- 加法：add, sum, plus, total, increase by
- 减法：subtract, minus, difference, decrease by, take away
- 乘法：multiply, times, product, double, triple
- 除法：divide, divided by, quotient, share equally
- 等式/不等式：equals, is equal to, is greater than, is less than, not equal to
3. Pronunciation of Mathematical Symbols | 数学符号的发音
When reading aloud, you must pronounce symbols correctly. Practice these common symbols until they feel natural.
当大声朗读时，你必须正确读出符号。练习这些常见符号，直到它们变得自然。
| Symbol | English | 中文 |
|---|---|---|
| + | plus | 加 |
| − | minus | 减 |
| × | times / multiplied by | 乘 |
| ÷ | divided by | 除 |
| = | equals / is equal to | 等于 |
| < | is less than | 小于 |
| > | is greater than | 大于 |
| ≤ | is less than or equal to | 小于等于 |
| ≥ | is greater than or equal to | 大于等于 |
| √ | square root of | 平方根 |
| ² | squared | 平方 |
| ³ | cubed | 立方 |
For a fraction like ½, say 'one half' or 'one over two'. For ¾, say 'three quarters' or 'three over four'.
对于像½这样的分数，说'one half'或'one over two'。对于¾，说'three quarters'或'three over four'。
4. Listening for Instructions | 听指令
In the listening section, the examiner may read a problem step by step. You need to catch key words that tell you what operation to perform.
在听力部分，考官可能会逐步阅读一个问题。你需要捕捉告诉你要执行何种运算的关键词。
Common instruction phrases include: 'Calculate the total', 'Find the difference between', 'Determine the value of x', 'Simplify the expression', 'Round your answer to the nearest whole number'.
常见的指令短语包括：'Calculate the total'（计算总数）、'Find the difference between'（找出……之间的差）、'Determine the value of x'（确定x的值）、'Simplify the expression'（化简表达式）、'Round your answer to the nearest whole number'（把你的答案四舍五入到最接近的整数）。
ructions aloud while you write down only the essential numbers and operation. For example, 'Add fifteen to seven and then divide by two' → you should note 15, 7, +, ÷2.
练习时，请别人大声读出这些指令，而你只记下关键数字和运算。例如，'Add fifteen to seven and then divide by two' → 你应该记下 15, 7, +, ÷2。
5. Describing Graphs and Data | 描述图表与数据
You may be asked to describe a bar chart, line graph, or pie chart. Use simple phrases to describe trends and values.
你可能被要求描述一个条形图、折线图或饼状图。用简单的短语描述趋势和数值。
English: 'The bar chart shows the number of students who chose different sports. Football is the most popular, with 25 students, while tennis is the least popular, with only 5.'
英语：'The bar chart shows the number of students who chose different sports. Football is the most popular, with 25 students, while tennis is the least popular, with only 5.'（条形图显示了选择不同运动的学生人数。足球最受欢迎，有25人，而网球最不受欢迎，只有5人。）
To describe a line graph, say: 'The temperature increased steadily from 10°C at 8 a.m. to 18°C at 2 p.m., then it decreased sharply after 4 p.m.'
在描述折线图时说：'The temperature increased steadily from 10°C at 8 a.m. to 18°C at 2 p.m., then it decreased sharply after 4 p.m.'（气温从早上8点的10°C稳步上升到下午2点的18°C，然后下午4点后急剧下降。）
Listen carefully for numbers and prepositions such as 'between 2010 and 2020', 'increased by 50%', 'fell to a low of 12'. Write these down quickly.
仔细听数字和介词，如'between 2010 and 2020'（在2010至2020年间）、'increased by 50%'（增加了50%）、'fell to a low of 12'（下降到低点12）。快速记下这些内容。
6. Explaining Steps in Problem Solving | 解释解题步骤
For the speaking presentation, you need to explain how to solve a problem. Use a clear structure: first, next, then, finally.
对于口语展示，你需要解释如何解答一道题。使用清晰的结构：first（首先）、next（接下来）、then（然后）、finally（最后）。
Example: ' equation. Next, I multiply 2 by 3, which gives 6. Then I add 4 to get 10. Finally, the value of y is 10.'
例如：' , I multiply 2 by 3, which gives 6. Then I add 4 to get 10. Finally, the value of y is 10.'（首先，我把x=3代入方程。接下来，我用2乘以3，得到6。然后我加4得到10。最后，y的值是10。）
When solving a geometry problem, say: 'I will use the formula for the area of a triangle, which is half base times height. So I multiply 8 by 5 and then divide by 2, giving me 20 square centimetres.'
在解答几何问题时，说：'I will use the formula for the area of a triangle, which is half base times height. So I multiply 8 by 5 and then divide by 2, giving me 20 square centimetres.'（我将使用三角形面积公式，即二分之一底乘高。所以我用8乘5再除以2，得到20平方厘米。）
If you make a mistake, do not panic. Say 'Actually, let me correct that. The product of 6 and 4 is 24, not 28.'
如果你犯了错误，不要慌张。说'Actually, let me correct that. The product of 6 and 4 is 24, not 28.'（实际上，我来更正一下。6和4的乘积是24，不是28。）
7. Common Question Types | 常见问题类型
Listening questions often involve real-life contexts such as shopping, travel, or measurement. You must extract numbers and relationships.
听力问题通常涉及现实生活情境，如购物、旅行或测量。你必须提取数字和关系。
| Topic | Example Verbal Clue | 中文线索 |
|---|---|---|
| Money | 'If a pen costs 3 pounds and you pay with a 10-pound note, how much change do you receive?' | 一支笔3英镑，用10英镑纸币付款，找零多少？ |
| Time | 'A train leaves at 8:45 and the journey takes 2 hours 20 minutes. What time does it arrive?' | 火车8:45出发，行程2小时20分，何时到达？ |
| Proportion | 'A recipe needs 200 g of flour for 4 people. How much is needed for 6 people?' | 4人份食谱需200克面粉，6人份需多少？ |
| Perimeter/Area | 'The length is 12 m and the width is 8 m. Calculate the area of the rectangle.' | 长12米，宽8米，计算矩形面积。 |
In the speaking test, you may be given a card with a prompt like 'Explain how to find the mean of five numbers.' Prepare a short talk using the steps: add all numbers, count them, divide the sum by the count.
口语测试中，可能给你一张提示卡，如'Explain how to find the mean of five numbers.'（解释如何求五个数的平均数）。准备一小段讲话，步骤为：将所有数相加，数出个数，用总和除以个数。
8. Practice Dialogues | 练习对话
Work with a partner to simulate the question-and-answer part. One person asks, the other responds in full sentences.
与搭档一起模拟问答部分。一人提问，另一人以完整句子回答。
Example dialogue:
示例对话：
Examiner: 'What is the value of 3x + 7 when x equals 2?'
考生：'When x equals 2, 3x is 6, and adding 7 gives 13. So the value is 13.'
Examiner: 'Can you explain why the sum of the angles in a triangle is 180 degrees?'
You: 'If I draw a triangle and extend one side, the exterior angle equals the sum of the two opposite interior angles. Since a straight line is 180°, the interior angles must also add up to 180°.'
考官：'你能解释为什么三角形内角和是180度吗？'
你：'如果我画一个三角形并延长一条边，外角等于两个不相邻内角之和。因为一条直线是180°，所以三个内角加起来也一定是180°。'
Such practice builds fluency and reduces hesitation.
这样的练习能培养流利度，减少犹豫。
9. Tips for the Speaking Test | 口语考试技巧
Before you start, take a deep breath and organise your thoughts. It is perfectly fine to pause and think, but avoid long silences.
开始前，深呼吸并整理思路。停顿思考完全没问题，但要避免长时间的沉默。
Use linking words to sound more structured: 'First of all', 'In addition', 'On the other hand', 'As a result'. This helps the examiner follow your explanation.
使用连接词让你的表达更有条理：'First of all'（首先）、'In addition'（此外）、'On the other hand'（另一方面）、'As a result'（结果）。这有助于考官跟上你的解释。
If you do not understand a question, ask politely: 'Could you please repeat that?' or 'I'm sorry, could you rephrase the question?' This shows good communication skills.
如果你没听懂问题，礼貌地请求：'Could you please repeat that?'（请你重复一遍好吗？）或'I'm sorry, could you rephrase the question?'（对不起，你能换个方式提问吗？）。这表现出良好的沟通技能。
Always answer in full sentences. Instead of just saying '12', say 'I got 12 because 4 multiplied by 3 equals 12.'
始终用完整句子回答。不要只说'12'，而要说'I got 12 because 4 multiplied by 3 equals 12.'（我得到12，因为4乘3等于12。）
10. Sample Test with Answers | 样题与答案
Here is a short practice test combining listening and speaking tasks.
这是一个结合听力与口语任务的简短练习测试。
Listening Task: (Play the script read by a partner or teacher)
听力任务：（由搭档或老师朗读脚本）
'A shop sells notebooks for £2.50 each and pens for £1.20 each. Sarah buys 4 notebooks and 3 pens. She pays with a £20 note. How much change does she get?'
Answer: Total cost = (4 × 2.50) + (3 × 1.20) = 10.00 + 3.60 = £13.60. Change = 20 - 13.60 = £6.40.
答案：总花费 = (4 × 2.50) + (3 × 1.20) = 10.00 + 3.60 = 13.60英镑。找零 = 20 - 13.60 = 6.40英镑。
Speaking Task: 'Look at the equation 2(x + 4) = 14. Explain step by step how you would solve it.'
口语任务：'看方程 2(x + 4) = 14。逐步解释你会如何求解。'
Model answer: ' oth sides. Then x equals 3. Finally, I can check: 2(3 + 4) = 2 × 7 = 14, which is correct.'
标准答案：'首先，我把两边除以2，得到 x + 4 = 7。接下来，我从两边减去4。然后 x 等于 3。最后，我可以检验：2(3 + 4) = 2 × 7 = 14，正确。'
Use a voice recorder to practise your own answers and check for clarity and correct pronunciation.
使用录音设备练习你自己的答案，检查清晰度和发音是否正确。
11. Review and Self-Assessment | 复习与自我评估
After each practice session, ask yourself: Did I use mathematical terms correctly? Was my pronunciation clear? Could I understand the main points from the listening task?
每次练习后，问自己：我是否正确使用了数学术语？我的发音清晰吗？我能听懂听力任务中的要点吗？
Keep a small notebook to write down new words and phrases you encounter. For example, 'perpendicular', 'isosceles', 'hypotenuse', 'denominator'. Review them weekly.
准备一个小笔记本，写下你遇到的新词和短语。例如，'perpendicular'（垂直）、'isosceles'（等腰）、'hypotenuse'（斜边）、'denominator'（分母）。每周复习。
Be patient. Speaking and listening skills take time to develop, but with consistent practice you will see great improvement.
要有耐心。口语和听力技能需要时间培养，但只要坚持练习，你会看到显著进步。
12. Final Checklist Before the Exam | 考前最终清单
Make sure you can do the following in English:
确保你能用英语做到以下几点：
- Read numbers, fractions, and decimals aloud correctly.
- Describe a graph using trend words (increase, decrease, remain constant).
- Explain steps for solving an equation or a word problem.
- Ask for clarification if you don't understand the question.
- Listen for key numbers and operations without writing everything down.
- 正确朗读数字、分数和小数。
- 使用趋势词描述图表（增加、减少、保持不变）。
- 解释解方程或应用题的步骤。
- 没听懂问题时请求澄清。
- 听关键数字和运算，而不必写下所有内容。
Go into the exam with confidence. You have prepared well!
自信地走进考场。你已准备充分！
Published by TutorHao | Advanced Mathematics Revision Series | aleveler.com
更多咨询请联系16621398022（同微信）
或截图后用「扫一扫 → 相册」选择本图