📚 Year 9 Edexcel Maths: Key Vocabulary Quick Memorisation Guide | Year 9 Edexcel 数学:词汇术语速记指南
Mastering the language of mathematics is crucial for success in Year 9 Edexcel Maths. This guide provides a collection of essential terms, each paired with a simple definition and a memorisation tip. Use these to boost your confidence in classwork, homework, and assessments.
掌握数学的语言对于 Year 9 Edexcel 数学的成功至关重要。本指南汇集了基本术语,每个都配有简单的定义和记忆技巧。用它们来提升你在课堂作业、家庭作业和评估中的信心。
1. Number Types and Properties | 数的类型与性质
Building a strong understanding of number types will help you unlock factorisation, multiples and roots. Below are the must-learn terms for Year 9.
牢固掌握数的类型有助于理解因数分解、倍数和根式。以下是 Year 9 必须掌握的术语。
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Integer: Any positive or negative whole number, including zero. Integers have no fractional or decimal part. E.g. -4, 0, 13.
整数:任何正或负的自然数,包括零。整数没有分数或小数部分。例如 -4, 0, 13。
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Prime Number: A number greater than 1 that has exactly two distinct positive factors: 1 and itself. Think of 'prime' as 'primary' — it cannot be split further. E.g. 2, 3, 5, 7.
质数:大于 1 且只有两个不同正因数的数,即 1 和它本身。把“质”想象成“本质”——不能再分。例如 2, 3, 5, 7。
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Composite Number: A positive integer greater than 1 that has more than two factors. It can be divided evenly by numbers other than 1 and itself. E.g. 6 (factors 1, 2, 3, 6).
合数:大于 1 且有多于两个因数的正整数。它能被 1 和自身以外的数整除。例如 6(因数 1, 2, 3, 6)。
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Factor: A whole number that divides exactly into another number, leaving no remainder. E.g. factors of 12 are 1, 2, 3, 4, 6, 12.
因数:能整除另一个数而没有余数的整数。例如 12 的因数是 1, 2, 3, 4, 6, 12。
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Multiple: The product of a number and any integer. Think of multiples as 'counting in steps' of that number. E.g. multiples of 4: 4, 8, 12, 16 …
倍数:一个数与任何一个整数的乘积。把倍数想象成“按该数步进”。例如 4 的倍数:4, 8, 12, 16 …
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Highest Common Factor (HCF): The largest factor that two or more numbers share. A quick way is to list all factors and pick the biggest common one. E.g. HCF of 18 and 24 is 6.
最大公因数(HCF):两个或多个数共有的最大因数。快速方法是列出所有因数,选出最大的共同者。例如 18 与 24 的 HCF 是 6。
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Lowest Common Multiple (LCM): The smallest multiple that two or more numbers share. Use it when finding common denominators. E.g. LCM of 4 and 5 is 20.
最小公倍数(LCM):两个或多个数共有的最小倍数。求公分母时用它。例如 4 和 5 的 LCM 是 20。
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Square Number: plied by itself. E.g. 5² = 25, so 25 is a square number. The notation ² is a shorthand for 'squared'.
平方数:整数自乘的结果。例如 5² = 25,所以 25 是平方数。² 符号是“平方”的速记。
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Cube Number: i.e. raised to the power 3). E.g. 3³ = 27, so 27 is a cube number. The little ³ stands for 'cubed'.
立方数:一个数自乘两次(即 3 次方)的结果。例如 3³ = 27,所以 27 是立方数。小 ³ 代表“立方”。
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Square Root (√): multiplied by itself, gives the original number. The symbol √ is called the radical. E.g. √25 = 5 because 5² = 25.
平方根(√):一个值自乘后得到原数。符号 √ 叫根号。例如 √25 = 5,因为 5² = 25。
2. Fractions, Decimals and Percentages | 分数、小数与百分比
Being comfortable with fractions, decimals and percentages is essential for proportional reasoning and problem solving. Memorise these key terms to avoid common mistakes.
熟悉分数、小数和百分比对于比例推理和问题解决至关重要。记住这些关键术语可避免常见错误。
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Fraction: A way of representing a part of a whole, written as a numerator over a denominator, e.g. 3/4.
分数:表示整体一部分的方式,写作分子除以分母,如 3/4。
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Numerator: The top number in a fraction; it shows how many equal parts are being considered. Mnemonic: 'Numerator – Number of parts'.
分子:分数中上方的数,表示考虑了多少个等份。记忆口诀:“分子 – 份子(部分的数量)”。
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Denominator: The bottom number in a fraction; it tells you the total number of equal parts the whole is divided into. 'Denominator – Denomination' like naming the type of parts.
分母:分数中下方的数,表示整体被分成了多少等份。“分母 – 分类”,指出部分的种类。
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Equivalent Fractions: You get them by multiplying or dividing the numerator and denominator by the same non-zero number.
等值分数:看似不同但值相等的分数,如 1/2 = 2/4 = 3/6。将分子和分母同时乘或除以同一个非零数即可得到。
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Simplify a Fraction: Reducing a fraction to its simplest form by dividing the numerator and denominator by their highest common factor, until they share no common factor other than 1. E.g. 8/12 simplifies to 2/3.
约分:通过将分子分母同除以它们的最大公因数,使其变为最简形式,直到除 1 外再无公因数。例如 8/12 约分为 2/3。
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Decimal: A number written using a decimal point to separate the whole part from the fractional part, based on powers of ten. E.g. 0.75 means 75 hundredths.
小数:使用小数点隔开整数部分和小数部分的数,以十分位、百分位等表示。例如 0.75 意为百分之 75。
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Percentage: A number expressed as a fraction of 100, denoted by the symbol %. E.g. 45% means 45 out of 100, equal to 0.45 or 9/20.
百分比:以 100 为分母的分数表示法,用 % 表示。如 45% 意为 100 份中的 45 份,等于 0.45 或 9/20。
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Convert between FDP: ction → decimal (divide numerator by denominator), decimal → percentage (multiply by 100).
FDP
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