Year 11 CCEA Maths: Formula & Theorem Quick Reference Guide | Year 11 CCEA 数学：公式定理速查手册

📚 Year 11 CCEA Maths: Formula & Theorem Quick Reference Guide | Year 11 CCEA 数学：公式定理速查手册

This quick reference guide is your go-to resource for the essential formulas and theorems in the Year 11 CCEA Mathematics specification. Use it alongside past papers and revision to reinforce key concepts and build exam confidence.

这份速查手册是 Year 11 CCEA 数学课程中核心公式和定理的必备资料。配合过往试题和复习使用，可以巩固关键概念，增强考试信心。

1. Number Properties | 数的性质

Every integer greater than 1 can be expressed as a unique product of prime numbers. Prime factorisation is the foundation for finding HCF and LCM.

每个大于 1 的整数都可以唯一地写为质数的乘积。质因数分解是求最大公因数 (HCF) 和最小公倍数 (LCM) 的基础。

To find the HCF, take the smallest power of each common prime factor. For the LCM, take the highest power of every prime factor that appears in any of the numbers.

求 HCF 时，取每个公共质因数的最小次幂。求 LCM 时，取所有出现过的质因数的最高次幂。

60 = 2² × 3 × 5 ⇒ HCF(60, 72) = 2² × 3 = 12, LCM(60, 72) = 2³ × 3² × 5 = 360

The laws of indices make it easier to handle expressions with powers. Multiplying adds the exponents, dividing subtracts them, and raising a power to another power multiplies the exponents.

指数法则可以简化含幂的表达式。乘法将指数相加，除法将指数相减，幂的乘方则将指数相乘。

Published by TutorHao | Year 11 Mathematics Revision Series | aleveler.com

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