📚 Year 7 Cambridge Computing: Cross-curricular Integrated Problem Practice | 剑桥7年级计算机：跨学科综合题型训练
Welcome to this cross-curricular problem practice session for Year 7 Cambridge Computing. The aim is to help you see how computing concepts connect with other subjects such as mathematics, science, geography, and history. By tackling these integrated problems, you will deepen your understanding of both computing and the real-world applications that make learning meaningful and fun.
欢迎参加剑桥7年级计算机跨学科综合题型训练。本练习旨在帮助你了解计算机概念如何与数学、科学、地理和历史等其他学科相联系。通过解决这些综合问题，你将加深对计算机学科的理解，同时感受现实世界应用带来的学习乐趣和意义。
1. Binary and Pizza Slices: Maths Connections | 二进制与披萨片：数学连接
Binary numbers are the foundation of all computer data. Understanding how to convert between binary and decimal is a key skill, and it involves simple addition of powers of 2. Let's imagine you have 5 slices of pizza. In binary, how would you represent the number 5 using an 8-bit register?
二进制数是所有计算机数据的基础。掌握二进制与十进制之间的转换是一项关键技能，它涉及2的幂的简单加法。假设你有5片披萨。在二进制中，如何使用8位寄存器表示数字5？
Solution: Write the place values of an 8‑ need to sum to 5. Place 1 under 4 and 1 under 1, and 0 under others: 4 + 1 = 5. So 5 in 8‑bit binary is 00000101.
解答：写出8位二进制数的位值：128、64、32、16、8、4、2、1。我们需要总和为5。在4和1下方放1，其余放0：4 + 1 = 5。因此5的8位二进制表示为00000101。
Now, try this cross‑curricular problem: If a computer stores a set of integer values representing pizza slices eaten by four friends – 3, 7, 2, 9 – what is the total number of pizza slices? Convert each to binary, add them in decimal, and then express the total as an 8‑bit binary number.
现在，尝试这个跨学科问题：如果一台计算机存储了四个朋友吃的披萨片数（3、7、2、9），问总共吃了多少片披萨？将每个数转换为二进制，用十进制相加，然后将总数表示为8位二进制数。
Answer: Total slices = 3+7+2+9 = 21. 21 in binary: 16+4+1, so 00010101.
答案：总片数 = 3+7+2+9 = 21。21的二进制：16+4+1，所以00010101。
2. Flowchart for a Morning Routine: Algorithm Meets Daily Life | 晨间流程的流程图：算法遇见日常生活
Algorithms are step-by-step instructions to solve a problem. We can represent them using flowcharts. In Personal, Social and Health Education (PSHE), you often discuss healthy morning routines. Design a flowchart that shows the decision process for whether you need an umbrella before leaving home based on the weather forecast.
算法是解决问题的分步指令，我们可以用流程图来表示。在个人、社会与健康教育（PSHE）中，你经常讨论健康的晨间流程。请设计一个流程图，根据天气预报判断出门前是否需要带伞。
Start with a start/stop oval, then a process box 'Check weather forecast', followed by a decision diamond 'Is rain expected?'. If yes, take umbrella; if no, leave umbrella. Both paths lead to 'Go to school'. Include arrows to show the flow.
从开始/结束的椭圆形开始，然后是一个处理框“查看天气预报”，接着是决策菱形“是否预计有雨？”。如果是，拿伞；如果否，放下伞。两条路径都通向“去上学”。用箭头表示流程。
Why is this good practice? It shows sequencing, selection (decision), and connects computing to your daily life.
为什么这是好的练习？它展示了顺序、选择（决策），并将计算机与日常生活联系起来。
3. Sensors and Data Logging: Computer Science in Science Experiments | 传感器与数据记录：科学实验中的计算机科学
In science lessons you might use temperature sensors connected to a computer to record data over time. The computer stores readings and can display a graph. If a sensor takes a reading every minute for an hour, how many readings are collected? Express this number in binary (8 bits) and explain how the data can be transferred to a spreadsheet for analysis.
在科学课上，你可能会使用连接到计算机的温度传感器来记录一段时间内的数据。计算机存储读数并可以显示图表。如果一个传感器每分钟读取一次数据，持续一小时，那么收集了多少个读数？用8位二进制表示这个数，并解释如何将数据传输到电子表格进行分析。
0. 60 in binary: 32+16+8+4, so 00111100. The data can be saved as a CSV file and imported into a spreadsheet like Excel to create graphs and calculate averages.
读数 = 60分钟 × 1次/分钟 = 60。60的二进制：32+16+8+4，即00111100。数据可保存为CSV文件，并导入Excel等电子表格中以创建图表和计算平均值。
4. Logic Gates and Light Switches: Physics in Computing | 逻辑门与电灯开关：物理在计算中的体现
Logic gates are the building blocks of digital circuits. In physics, you learn about series and parallel circuits with switches. An AND gate works like two switches in series: the light is on only if both switch A and switch B are pressed. An OR gate is like two switches in parallel: the light is on if switch A or switch B is pressed.
逻辑门是数字电路的基本构件。在物理中，你学习了带有开关的串联和并联电路。与门（AND）就像两个串联的开关：只有当开关A和开关B都按下时，灯才会亮。或门（OR）就像两个并联的开关：只要开关A或开关B按下，灯就会亮。
Problem: A security system uses two sensors: a pressure sensor under a mat (A) and a motion sensor (B). An alarm should sound if either sensor is triggered. Which gate should be used? Draw a truth table for two inputs.
问题：一个安全系统使用两个传感器：垫子下的压力传感器（A）和运动传感器（B）。如果任一传感器被触发，警报就会响起。应该使用哪种门？画出两个输入的真值表。
Solution: Use OR gate. Truth table:
| A | B | Output |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
解答：使用或门（OR）。真值表如上。
5. Scratch and Area Calculation: Coding with Geometry | Scratch与面积计算：几何与编程
combines knowledge of variables, input/output, and maths formulas. Area = length × width.
在Scratch中，你可以创建一个程序，询问矩形的长和宽，然后计算其面积。这结合了变量、输入/输出和数学公式的知识。面积 = 长 × 宽。
Write a cross-curricular question: " rogram to clean a rectangular room of 4 m by 3 m, what is the total area it needs to clean? Extend the Scratch script to also calculate the perimeter (2×(l+w))."
写一个跨学科问题：“如果一个机器人吸尘器使用程序清洁一个4米×3米的矩形房间，它需要清洁的总面积是多少？扩展Scratch脚本，同时计算周长（2×(l+w)）。”
Answer: Area = 12 m². Perimeter = 14 m. The script can set a variable 'area' to length*width, and 'perimeter' to 2*(length+width), then display both.
答案：面积 = 12平方米。周长 = 14米。脚本可以设置变量“面积”为长*宽，“周长”为2*(长+宽)，然后显示两者。
6. Submarine Cables and World Map: Geography of the Internet | 海底光缆与世界地图：互联网的地理
The internet relies on a network of undersea fibre-optic cables that connect continents. In geography, you learn about countries and oceans. Plot a route from London to New York on a world map and identify which oceans the cable crosses. Discuss
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