Cross-curricular Integrated Problem-Solving Practice | 跨学科综合题型训练

📚 Cross-curricular Integrated Problem-Solving Practice | 跨学科综合题型训练

In today’s world, mathematics is not an isolated subject; it provides essential tools for science, geography, music, sports and beyond. This article presents cross-curricular problem-solving tasks designed for Year 8 WJEC Advanced Mathematics. You will apply skills such as percentages, ratios, formulas, data handling and geometry to real-life contexts, strengthening both your mathematical fluency and your ability to connect ideas across disciplines.

当今世界，数学不是一门孤立的学科；它给科学、地理、音乐、体育等领域提供了基本工具。本文呈献针对 WJEC 八年级进阶数学设计的跨学科解题练习。你将把百分比、比例、公式、数据处理和几何等技能应用到真实情境中，从而提升数学流畅度以及跨学科联想能力。

1. Science: Speed, Density and Compound Measures | 科学：速度、密度与复合单位

In KS3 science you encounter compound measures such as speed, density and flow rate. The core skill is substituting values into a three-variable formula and rearranging it. Remember: speed = distance ÷ time; density = mass ÷ volume. Always check that units are consistent before calculating.

在 KS3 科学中你会遇到速度、密度和流量等复合单位。核心技能是将值代入三变量公式并进行变换。记住：速度 = 距离 ÷ 时间；密度 = 质量 ÷ 体积。计算前务必检查单位一致。

Example: A cyclist covers 45 km in 1 h 15 min. Find her average speed in km/h and m/s.

示例：一位自行车手在1小时15分钟内骑行45公里。求她的平均速度，单位分别为 km/h 和 m/s。

Solution: Convert time to hours: 15 min = 0.25 h, total time = 1.25 h. Average speed = 45 ÷

Published by TutorHao | Year 8 进阶数学 Revision Series | aleveler.com

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