📚 IGCSE CAIE Additional Mathematics: Exam Preparation Time Planning and Strategy | IGCSE CAIE 进阶数学：备考时间规划与策略
The CAIE IGCSE Additional Mathematics 0606 exam rewards students who combine deep conceptual understanding with disciplined time management. This guide sets out a practical, week-by-week preparation strategy, from syllabus audit to the final 48 hours, so you can convert revision hours into marks.
CAIE IGCSE 进阶数学 0606 考试既考察深度理解，也考验时间管理。本文给出从大纲梳理到考前 48 小时的逐周备考策略，帮助你高效把复习时间转化为分数。
1. Know the 0606 exam structure and assessment objectives | 了解0606大纲与考核目标
CAIE IGCSE Additional Mathematics 0606 has two compulsory papers, Paper 1 and Paper 2. Each paper lasts 2 hours and carries 80 marks, giving a total of 160 marks; each paper is weighted 50% of the final grade. Every question is compulsory and both papers allow a scientific calculator.
CAIE IGCSE 进阶数学 0606 有两份必考试卷：Paper 1 和 Paper 2。每卷 2 小时、80 分，共 160 分，各占总成绩的 50%。所有题目均为必答，两卷均允许使用科学计算器。
There is no formula sheet in 0606, so key trigonometric identities, differentiation rules, integration results, and kinematics formulas must be memorised. The syllabus also expects you to move between exact and decimal answers, especially in circular measure and logarithms.
0606 不提供公式表，因此必须牢记核心三角恒等式、微分与积分公式以及运动学公式。大纲还要求你能够在精确值与小数答案之间灵活转换，尤其在弧度制和指数对数题中。
Start your preparation by reading the official syllabus content and assessment objectives. Assessment Objective 1 tests knowledge and understanding, AO2 tests application of mathematical techniques, and AO3 tests analysis and interpretation in unfamiliar contexts.
备考的第一步是细读官方大纲内容和考核目标。AO1 考察知识与理解，AO2 考察数学方法的运用，AO3 考察在陌生情境中的分析与解释能力。
2. Audit your syllabus coverage and build a priority matrix | 梳理大纲覆盖并建立优先级矩阵
Print the 0606 syllabus and mark each topic as strong, partial, or weak. Topics such as functions, quadratics, logarithms, trigonometry, vectors, differentiation, and integration are high-yield because they appear frequently across both papers.
打印 0606 大纲，将每个主题标注为“熟练”“一般”“薄弱”。函数、二次函数、指数对数、三角、向量、微分和积分等主题产出率高，经常在两卷中出现。
- High priority: functions, quadratic inequalities, surds, log and exponential equations, trigonometric equations, differentiation and integration applications, kinematics, vectors. 高优先级：函数、二次不等式、根式、指数对数方程、三角方程、微积分应用、运动学、向量。
- Medium priority: polynomial factors, simultaneous equations, binomial expansion, permutations and combinations, straight-line graphs, circular measure. 中优先级：多项式因式、联立方程、二项式展开、排列组合、直线图像、弧度制。
- Foundation priority: indices, surds, coordinate geometry, basic trigonometric values, algebraic manipulation. 基础优先级：指数、根式、坐标几何、基本三角值、代数变形。
Build a simple three-column table: topic, current confidence level, and exam frequency. Spend 60% of your revision time on high-frequency topics where confidence is still partial or weak.
建立一张三栏表格：主题、当前信心水平和考试出现频率。把 60% 的复习时间用于高频但信心仍为一般或薄弱的主题。
3. Design an 8-week revision cycle with active recall | 设计8周复习循环与主动回忆
An effective plan is not “read notes for three hours”. Instead, use a three-phase cycle: 20 minutes of retrieval practice, 20 minutes of worked-example study, and 20 minutes of exam-style questions. Retrieval means closing the book and writing down everything you remember about a topic, then checking gaps.
有效的计划不是“读三小时笔记”。建议采用三阶段循环：20 分钟主动回忆、20 分钟研究例题、20 分钟考试型练习。主动回忆指合上书本，写出你能记住的内容，再对照找漏洞。
Map an 8-week countdown: Weeks 1-2 consolidate functions, algebra, and equations; Weeks 3-4 tackle logarithms, trigonometry, and circular measure; Weeks 5-6 cover vectors, series, and permutations; Weeks 7-8 become full past-paper simulation and targeted repair.
将 8 周倒计时规划为：第 1-2 周巩固函数、代数、方程；第 3-4 周攻克对数、三角、弧度制；第 5-6 周完成向量、级数、排列组合；第 7-8 周进入整卷模拟与针对性修补。
| Week | Focus area | Output |
|---|---|---|
| 1-2 | Functions, quadratics, inequalities, surds | Complete topic questions and one paper 1 |
| 3-4 | Logs, exponentials, trig, circular measure | Drill exact-value and equation questions |
| 5-6 | Vectors, series, binomial, permutations | Attempt one full Paper 2 |
| 7-8 | Mixed past papers, mistake repair | At least 3 full timed papers |
Each week should include at least two timed past-paper sections, even in the early weeks. This prevents the common problem of mastering topics in isolation but failing to retrieve them under pressure.
每周应至少包含两次限时真题片段练习，即使在前几周也要如此。这样可以防止“单独会做、一考就忘”的常见问题。
4. Master calculator use and memorised formulae together | 同时掌握计算器使用与公式记忆
Since both papers allow a scientific calculator, you should not waste time calculating basic arithmetic or evaluating trig values. However, the calculator cannot replace algebraic method: many questions require exact answers such as √2, ln 3, or π/6, not just decimals.
两卷都允许使用科学计算器，因此不要在基本运算或三角求值上浪费时间。但计算器不能替代代数过程：很多题目要求精确答案，如 √2、ln 3 或 π/6，而不仅仅是小数。
Practise switching between exact mode and decimal mode, and know when to round to 3 significant figures or 1 decimal place as instructed. Also memorise the derivative of ln x, aˣ, sin x, cos x, tan x, and the chain/product/quotient rules because no formula sheet is provided.
练习在精确模式和十进制模式之间切换，并按题目要求保留 3 位有效数字或 1 位小数。同时记住 ln x、aˣ、sin x、cos x、tan x 的导数，以及链式法则、乘法和除法求导法则，因为考试不提供公式表。
d/dx (sin x) = cos x | d/dx (cos x) = −sin x
∫ xⁿ dx = xⁿ⁺¹/(n+1) + c, n ≠ −1
logₐ x = y ⇔ aʸ = x | sin² θ + cos² θ = 1
For kinematics questions, recall the constant-acceleration formulas such as v = u + at, s = ut + ½at², and v² = u² + 2as. Write down the known variables first, then select the formula that avoids solving for an unknown time unnecessarily.
运动学题要记住匀加速公式：v = u + at、s = ut + ½at²、v² = u² + 2as。先写出已知量，再选择能避免不必要求时间的公式。
5. Use past papers as a diagnostic tool, not just a scoreboard | 用真题做诊断工具，而非只看分数
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