📚 Year 7 Higher Maths Prelim Homework Revision | 七年级高阶数学预备考试作业复习
This revision guide covers the core topics tested in a Year 7 Higher Mathematics preliminary examination. It is designed as a focused homework companion for students who need to consolidate number work, algebra, geometry, ratio, data handling and basic probability before a timed prelim paper. Work through each section, attempt the embedded examples, and use the summaries to spot common misconceptions.
本复习指南涵盖七年级高阶数学预备考试的核心考点。它是一份针对性的作业辅助材料，帮助学生在限时预备考试前巩固数、代数、几何、比、数据处理和基础概率等知识。请逐节学习，尝试文中示例，并利用小结排查常见易错点。
1. Number Foundations and Negative Integers | 数的基础与负整数
confident with integers of any size, including negative numbers. Remember that the symbol '-' e subtracting a negative number moves right. For example, -5 + (-3) = -8 and 4 - (-2) = 6.
位值是所有数字技能的基础：读数、排序、四舍五入和计算。七年级高阶要求掌握任意大小的整数，包括负数。记住符号 '-' 不只是标记，它表示数轴上的方向。加上一个负数向左移动，减去一个负数向右移动。例如，-5 + (-3) = -8，而 4 - (-2) = 6。
Quick checks before the prelim:
- Order integers from most negative to most positive: -12 < -5 < -1 < 0 < 7.
- Round 34,678 to the nearest 1000: 35,000.
- Use a number line for tricky negative calculations, especially subtraction.
- Cube and square notation: 2³ = 8, 5² = 25, and (-3)² = 9 because (-3) × (-3) = 9.
考前速查：
- 将整数从最负到最正排序：-12 < -5 < -1 < 0 < 7。
- 将 34,678 四舍五入到最近的 1000：35,000。
- 遇到棘手的负数运算（尤其是减法）时使用数轴。
- 立方与平方表示法：2³ = 8，5² = 25，而 (-3)² = 9，因为 (-3) × (-3) = 9。
2. Fractions, Decimals and Percentages | 分数、小数与百分比
on or percentage of an amount. Start by memorising the common equivalences: 1/2 = 0.5 = 50%, 1/4 = 0.25 = 25%, 1/3 = 0.333... = 33⅓%, and 1/10 = 0.1 = 10%. To find 3/5 of 80, divide 80 by 5
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