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Year 8 AQA Maths: Formula & Theorem Quick Reference | Year 8 AQA 数学:公式定理速查手册

📚 Year 8 AQA Maths: Formula & Theorem Quick Reference | Year 8 AQA 数学:公式定理速查手册

This quick reference guide brings together the essential formulas and theorems covered in Year 8 AQA Mathematics. Use it to check key facts, support your homework, and prepare for assessments.

本速查手册汇集了 Year 8 AQA 数学课程中的核心公式与定理。你可以用它核对关键知识点、辅助家庭作业和备考。


1. Order of Operations (BIDMAS) | 运算顺序 (BIDMAS)

BIDMAS (or BODMAS) tells us the order in which operations must be performed: Brackets first, then Indices (powers, roots), followed by Division and Multiplication (from left to right), and finally Addition and Subtraction (from left to right).

BIDMAS(或 BODMAS)规定了运算的执行顺序:首先是括号 (Brackets),然后是指数 (Indices,即幂和根),接着是除法与乘法 (从左到右),最后是加法与减法 (从左到右)。

For example, in the expression 3 + 4 × 2, multiply first: 4 × 2 = 8, then add 3 to get 11.

例如,在表达式 3 + 4 × 2 中,先计算乘法:4 × 2 = 8,然后加上 3 得到 11。

When brackets are present, such as in (3 + 4) × 2, work inside the brackets first: 3 + 4 = 7, then multiply by 2 to get 14.

当有括号时,如 (3 + 4) × 2,先算括号内的:3 + 4 = 7,再乘以 2 得到 14。


2. Fractions, Decimals & Percentages | 分数、小数与百分数

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/8 = 3 ÷ 8 = 0.375.

分数化小数:用分子除以分母。例如 3/8 = 3 ÷ 8 = 0.375。

To convert a decimal to a percentage, multiply by 100 and add the % sign. For example, 0

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