📚 Year 7 AQA Engineering: Interdisciplinary Integrated Practice Questions | 跨学科综合题型训练
Welcome to this set of interdisciplinary practice questions designed for Year 7 AQA Engineering. Throughout this article, you will encounter problems that blend mathematics, science, and design technology, mirroring the real-world challenges engineers face. Each section highlights a key concept and walks you through the reasoning step by step.
欢迎来到这组为 Year 7 AQA 工程设计的跨学科综合题型训练。在本文中，你将遇到融合数学、科学和设计技术的问题，正是工程师面对真实挑战的缩影。每一节突出一个关键概念，并带你逐步推理。
1. Measurement and Unit Conversion | 测量与单位换算
In any engineering project, precise measurement is the foundation. You must be comfortable converting between millimetres, centimetres, and metres, and calculating volumes using consistent units.
在任何工程项目中，精确测量是基础。你必须熟练地在毫米、厘米和米之间转换，并使用一致的单位计算体积。
Practice Question: A wooden beam for a model bridge has a length of 25 cm, a width of 30 mm, and a thickness of 5 mm. Determine the volume of the beam in cubic centimetres (cm³).
练习题：一根模型桥木梁长 25 厘米，宽 30 毫米，厚 5 毫米。计算该木梁的体积（立方厘米）。
Step 1: Convert all dimensions to the same unit – centimetres. Width: 30 mm = 3.0 cm. Thickness: 5 mm = 0.5 cm.
步骤 1：将所有尺寸转换为相同单位——厘米。宽度：30 毫米 = 3.0 厘米。厚度：5 毫米 = 0.5 厘米。
Step 2: Apply the volume formula for a rectangular prism: Volume = length × width × thickness = 25 × 3.0 × 0.5 = 37.5 cm³.
步骤 2：应用长方体体积公式：体积 = 长 × 宽 × 厚 = 25 × 3.0 × 0.5 = 37.5 cm³。
This simple calculation draws on mathematics (multiplication, unit conversion) and materials science, as engineers must know the volume to estimate weight and cost.
这个简单的计算运用了数学（乘法、单位换算）和材料科学，因为工程师需要知道体积来估算重量和成本。
2. Forces and Structural Analysis | 力与结构分析
Designing structures such as bridges requires an understanding of how forces are distributed. We use the principle of moments to find support reactions when a load is not placed in the centre.
设计桥梁等结构需要理解力是如何分布的。当荷载不位于中心时，我们用力矩原理来计算支反力。
Practice Question: A uniform bridge is supported at its ends, A and B, which are 1.0 m apart. A weight of 20 N is placed 0.3 m from support A. Calculate the upward forces at supports A and B. (Ignore the mass of the bridge itself.)
练习题：一座均匀的桥梁支撑在两端 A 和 B，相距 1.0 米。一个 20 牛的重量放在距 A 端 0.3 米处。计算支座 A 和 B 的向上支持力。（忽略桥梁本身质量。）
Step 1: Apply the equilibrium condition for forces: FA + FB = 20 N.
步骤 1：应用力的平衡条件：FA + FB = 20 N。
Step 2: Take moments about point A. Clockwise moment = FB × 1.0 m. Anticlockwise moment = 20 N × 0.3 m = 6 N m. At equilibrium, FB × 1.0 = 6, so FB = 6 N.
步骤 2：对 A 点取矩。顺时针力矩 = FB × 1.0 m。逆时针力矩 = 20 N × 0.3 m = 6 N m。平衡时 FB × 1.0 = 6，因此 FB = 6 N。
Step 3: Substitute FB into the force equation: FA + 6 = 20, so FA = 14 N.
步骤 3：将 FB 代入力的方程：FA + 6 = 20，所以 FA = 14 N。
Mixing algebra and physics, this problem shows how engineers use maths to ensure structures are safe.
这道题结合了代数与物理，展示了工程师如何用数学确保结构安全。
3. Simple Series and Parallel Circuits | 简单串联与并联电路
Electric circuits are everywhere in engineering. When you connect components in series or parallel, the total resistance changes, and you must be able to calculate the resulting current.
电路在工程中无处不在。当元件串联或并联时，总电阻会改变，你必须能够计算产生的电流。
Practice Question: A 9 V battery is connected to two resistors in parallel: R₁ = 3 Ω and R₂ = 6 Ω. Find the total resistance of the circuit and the current drawn from the battery.
练习题：一个 9 V 电池与两个并联电阻连接：R₁ = 3 Ω 和 R₂ = 6 Ω。求电路的总电阻和从电池流出的电流。
Step 1: For two resistors in parallel, use the product-over-sum formula: Rtotal = (R₁ × R₂) / (R₁ + R₂) = (3 × 6) / (3 + 6) = 18 / 9 = 2 Ω.
步骤 1：对于两个并联电阻，用积和公式：Rtotal = (R₁ × R₂) / (R₁ + R₂) = (3 × 6) / (3 + 6) = 18 / 9 = 2 Ω。
Step 2: Apply Ohm’s law: I = V / Rtotal = 9 V / 2 Ω = 4.5 A.
步骤 2：用欧姆定律：I = V / Rtotal = 9 V / 2 Ω = 4.5 A。
You can check the current in each branch: I₁ = 9 V / 3 Ω = 3 A, I₂ = 9 V / 6 Ω = 1.5 A, which sum to 4.5 A. This integrates fractional arithmetic with electrical principles.
你可以检查各支路电流：I₁ = 9 V / 3 Ω = 3 A，I₂ = 9 V / 6 Ω = 1.5 A，总和为 4.5 A。这结合了分数运算和电学原理。
4. Energy Efficiency and Renewable Power | 能效与可再生能源电力
As sustainable energy becomes more important, engineers design systems that convert sunlight, wind, or water into usable electricity. They calculate energy output and efficiency to meet energy demands.
随着可持续能源日益重要，工程师设计将阳光、风或水转化为可用电力的系统。他们计算能量输出和效率以满足能源需求。
Practice Question: A small solar panel provides an output of 12 V and delivers a current of 0.4 A. It operates for 6 hours on a sunny day. Calculate the electrical energy produced in
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