📚 Maths GK Workbook: Core Skills and Practice | 数学 GK 练习册：核心技能与训练
A Maths GK workbook is a structured collection of practice questions and revision notes designed to build broad mathematical fluency. The term 'GK' here stands for 'General Knowledge', meaning the book covers the essential skills that appear across most international mathematics curricula: number, algebra, geometry, statistics and logical problem-solving.
数学 GK 练习册是一套结构化练习题与复习笔记汇编，旨在培养广泛的数学流畅度。这里 'GK' 指 'General Knowledge'（通识知识），即练习册覆盖大多数国际数学课程中都会出现的核心技能：数、代数、几何、统计与逻辑解题。
1. What Is a Maths GK Workbook? | 什么是数学 GK 练习册？
A Maths GK workbook is not tied to one single exam board. Instead, it targets the common core of mathematical literacy: arithmetic accuracy, algebraic manipulation, spatial reasoning, data interpretation and the ability to apply concepts to unfamiliar problems.
数学 GK 练习册并不针对某一个考试局，而是瞄准数学素养的共同核心：算术准确性、代数运算、空间推理、数据解读以及将概念应用于陌生问题的能力。
Most workbooks are organised by topic and by difficulty, with quick recall drills followed by longer application tasks. This design helps learners move from remembering formulas to using them flexibly.
大多数练习册按主题和难度编排，先设置快速回忆训练，再设置较长的应用题。这种设计帮助学习者从记忆公式过渡到灵活运用公式。
Because GK workbooks are broad, they are useful for building confidence before starting exam-specific past papers. They also highlight weak areas that need targeted revision.
由于 GK 练习册覆盖面广，因此非常适合在开始针对特定考试的历年真题前建立信心。它们还能揭示需要重点复习的薄弱环节。
2. Number and Arithmetic | 数与算术
The number section usually reviews place value, order of operations, factors, multiples, primes, squares, cubes and directed numbers. A typical drill might ask you to evaluate 7 + 6 × 5 − 12 ÷ 3 correctly using BIDMAS/BODMAS.
数与算术部分通常复习位值、运算顺序、因数、倍数、质数、平方数、立方数和正负数。典型练习可能要求你正确使用 BIDMAS/BODMAS 规则计算 7 + 6 × 5 − 12 ÷ 3。
12, and be able to add, subtract, multiply and divide without a calculator when the question requires it.
让整数运算自动化：熟记 12 × 12 以内的乘法表，并在题目要求时能够不依赖计算器完成加、减、乘、除。
- Prime numbers: 2, 3, 5, 7, 11, 13 — 质数：2、3、5、7、11、13
- Order of operations: Brackets, Indices, Division/Multiplication, Addition/Subtraction — 运算顺序：括号、指数、除/乘、加/减
- Squares: 1² = 1, 2² = 4, 3² = 9, 4² = 16, 5² = 25 — 平方数：1² = 1、2² = 4、3² = 9、4² = 16、5² = 25
3. Fractions, Decimals and Percentages | 分数、小数与百分数
tween fractions, decimals and percentages is a core GK skill. For example, 1/4 = 0.25 = 25%, and 3/5 = 0.6 = 60%. You should be able to compare these forms and place them on a number line.
在分数、小数和百分数之间进行转换是一项核心通识技能。例如，1/4 = 0.25 = 25%，3/5 = 0.6 = 60%。你应该能够比较这些形式并将它们标在数轴上。
Operations with fractions require common denominators for addition and subtraction, while multiplication uses (a/b) × (c/d) = (a×c)/(b×d). Division is performed by multiplying by the reciprocal.
分数运算中，加法和减法需要公分母，而乘法使用 (a/b) × (c/d) = (a×c)/(b×d)。除法通过乘以倒数来完成。
Percentage increase and decrease are tested often. To increase £80 by 15%, find 15% of £80 = £12, then add to get £92. To decrease, subtract the same amount.
百分数增加和减少经常考查。将 £80 增加 15%，先求 £80 的 15% = £12，然后相加得 £92。减少时则减去相同的金额。
| Fraction 分数 | Decimal 小数 | Percentage 百分数 |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333… | 33⅓% |
| 3/4 | 0.75 | 75% |
4. Algebra Essentials | 代数基础
At GK level, algebra includes simplifying expressions, expanding brackets, factorising, substituting values and solving linear equations. A central skill is rearranging formulas such
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