📚 2026 CAIE IGCSE Additional Mathematics: Exam Changes and Trends | 2026年CAIE IGCSE进阶数学：考试变化与趋势
The 2026 examination series for CAIE IGCSE Additional Mathematics (0606) will be the second full cycle under the new 2025–2027 syllabus. For Year 11 students, understanding the radical departures from the previous 2020–2024 syllabus is not just helpful — it is essential for focused revision and top-grade performance. This article breaks down every major change, from calculator policies and removed topics to increased emphasis on modelling and real-world applications, and explores the emerging trends that will shape the 2026 papers.
对于CAIE IGCSE附加数学（0606）来说，2026年考试将是2025–2027新考纲下的第二个完整周期。对于Year 11的学生而言，理解新旧考纲之间的根本性变化不仅有益，更是实现高效复习和冲刺高分的必要条件。本文逐一解析所有重大变化——从计算器政策、被删除的主题到对数学建模和真实情境的强化——并深入探讨将塑造2026年试卷的新趋势。
1. Overview of the 2025–2027 Syllabus | 2025–2027年考纲概览
The CAIE syllabus code 0606 for IGCSE Additional Mathematics was redeveloped for first assessment in 2025, and the same syllabus document governs the 2026 and 2027 examinations. The core intention was to modernise the qualification, improve the balance between procedural fluency and conceptual understanding, and better prepare students for A Level Mathematics and Further Mathematics.
CAIE对IGCSE附加数学（0606）的考纲进行了重新修订，首考于2025年，同一份考纲文件适用于2026和2027年考试。其核心意图在于使该资格现代化，优化程序性熟练度与概念性理解之间的平衡，并更好地为学生衔接A Level数学和进阶数学做好准备。
All students, irrespective of their school’s location, will sit the same two written papers. The syllabus content is organised into themes: Algebra, Geometry and Trigonometry, and Calculus, with Statistics and Probability interwoven. There is no coursework or alternative to practical; assessment is purely examination-based.
所有学生，不论所在地区，都将参加相同的两份笔试。考纲内容按代数、几何与三角学、微积分等主题编排，并融入统计与概率。不设课程作业或替代实践考核，评估完全基于笔试。
2. Major Structural Change: Calculator Policy | 重大结构变化：计算器政策
Perhaps the most consequential administrative change is that both Paper 1 and Paper 2 now permit the use of a scientific calculator. Under the old syllabus, Paper 1 was strictly non‑calculator, forcing students to master mental arithmetic and manual computation of trigonometric and logarithmic values.
或许最具影响力的行政变化是，Paper 1和Paper 2现在均允许使用科学计算器。在旧考纲下，Paper 1严格禁止使用计算器，迫使学生必须掌握心算以及手动计算三角函数和对数值。
The new policy treats the calculator as an integral tool, reflective of realistic mathematical working. Importantly, CAIE stresses that question design will still assess genuine understanding — candidates cannot simply ‘calculate their way to a grade’ without deep algebraic and conceptual skills. Graph plotting or symbolic algebra calculators are not permitted; only standard scientific calculators are allowed.
新政策将计算器视为不可或缺的工具，反映了真实的数学工作方式。重要的是，CAIE强调试题设计仍将评估真正的理解——若无扎实的代数功底和概念技能，考生无法仅靠“计算器按出好成绩”。禁止使用绘图计算器或符号代数计算器，仅允许标准科学计算器。
3. Revised Assessment Objectives and Weightings | 修订后的评估目标与权重
The weighting of assessment objectives has shifted to place greater emphasis on applying mathematics and interpreting solutions. The new breakdown is:
评估目标的权重发生了变化，更强调应用数学和解读结果。新的划分如下：
| Assessment Objective | 评估目标 | New Weight | 旧权重 (2020–24) |
|---|---|---|---|
| AO1 Knowledge and understanding | 知识与理解 | 40% | 45% |
| AO2 Application and analysis | 应用与分析 | 40% | 35% |
| AO3 Evaluation and synthesis | 评价与综合 | 20% | 20% |
The rise in AO2 means that a larger fraction of marks will be awarded for selecting appropriate methods, manipulating algebraic expressions in unfamiliar contexts, and analysing graphical or statistical information.
AO2权重的增加意味着更大比例的分数将用于奖励选择合适方法、在陌生情境下进行代数变形以及分析图像或统计信息。
4. Topics Removed: Sets and Matrices | 删除的主题：集合与矩阵
Two complete topic blocks have been cut from the 0606 syllabus, permanently reshaping the revision landscape.
两个完整的知识模块已从0606考纲中移除，永久地重塑了复习格局。
| Removed Topic (English) | 删除的主题（中文） |
|---|---|
| Sets, universal sets, subsets, complements, Venn diagrams, intersection and union | 集合、全集、子集、补集、韦恩图、交集与并集 |
| Matrices: order, equality, addition, subtraction, scalar multiplication, matrix multiplication, zero and identity matrices, determinant and inverse (2×2), solving simultaneous linear equations using inverse matrices | 矩阵：阶数、相等、加减法、数乘、矩阵乘法、零矩阵和单位矩阵、行列式与逆矩阵（2×2）、利用逆矩阵解联立一次方程组 |
Candidates who started learning under older resources can safely ignore these sections; no matrix transformation or three‑set Venn diagram question will appear in 2026.
使用旧版资源开始学习的考生可以放心地忽略这些章节；2026年的试卷中不会出现任何矩阵变换或三集合韦恩图的题目。
5. New and Expanded Content | 新增与强化的内容
While the syllabus has removed some traditional topics, it has simultaneously deepened and broadened several core areas to raise the level of challenge and better connect with A Level study.
考纲在删除某些传统内容的同时，也加深并拓宽了若干核心领域，以提升挑战性并与A Level学习更好地衔接。
Notable additions and expansions include: stronger emphasis on function notation, domain, range, composition and inverse functions; absolute value functions and their graphs; solving equations involving modulus functions; more rigorous work with polynomials including factors, remainders and divisors; binomial expansions extended to rational exponents; transformations of graphs of all major function families (trigonometric, exponential, logarithmic and radical); use of the discriminant to determine the number of intersections between a line and a curve; and a greater focus on conditional probability using tree diagrams and formal formulas.
值得注意的新增和强化内容包括：更强调函数符号、定义域、值域、复合函数和反函数；绝对值函数及其图像；解含绝对值的方程；多项式运算更加严谨，包括因式、余式和除法；二项式展开扩展至有理指数；所有主要函数族（三角、指数、对数、根式函数）的图像变换；利用判别式判断直线与曲线交点的个数；以及借助树图和公式更深入地学习条件概率。
6. Functions, Graphs and Transformations | 函数、图像与变换
The new syllabus treats function transformations as a central thread linking algebra, trigonometry and calculus. Students must confidently apply transformations — translation, stretch and reflection — to graphs of f(x) and interpret the resulting algebraic forms such as y = a f(bx + c) + d.
新考纲将函数变换视为贯穿代数、三角学和微积分的核心线索。学生必须能够自信地将变换——平移、伸缩和反射——应用于f(x)的图像，并解释相应的代数形式，例如 y = a f(bx + c) + d。
Additionally, the absolute value function |x| is now explicitly examined, including its piecewise definition, graph (V‑shape) and its use in equations and inequalities. Questions may combine modulus with linear or quadratic expressions, requiring both algebraic and graphical justification.
此外，现在明确考查绝对值函数|x|，包括其分段函数定义、图像（V形）以及它在方程和不等式中的应用。题目可能会将模数与线性或二次表达式相结合，要求给出代数推理和图像论证。
7. Calculus: Deeper Integration and Applications | 微积分：更深入的积分与应用
Differentiation and integration remain the largest single topic block, but the 2025–2027 syllabus intensifies the demand for conceptual reasoning. First‑principle derivations are no longer required, but the understanding of differentiation as a tool for gradients of tangents, stationary points and connected rates of change is extended to more complex functions, including products and quotients (though the quotient rule is not listed; the product rule is introduced with a formula).
导数和积分依然是最大的单一知识模块，但2025–2027考纲强化了对概念推理的要求。虽然不再要求用第一原理推导，但对导数作为切线斜率、驻点和相关变化率的工具的理解，已扩展到更复杂的函数，包括乘积和商（商法则未列明；乘积法则以公式引入）。
Integration is explored more thoroughly: evaluating definite integrals using the fundamental theorem, calculating the area between a curve and a line, and solving problems where the integral represents accumulated change. Candidates must also recognise the constant of integration C and determine it from given conditions.
积分的学习更加深入：利用微积分基本定理计算定积分，计算曲线与直线之间的面积，以及求解积分代表累积变化的问题。考生还必须识别积分常数C，并根据给定条件确定其值。
8. Statistics and Probability: Conditional Probability & Data Emphasis | 统计与概率：条件概率与数据侧重
While the syllabus continues to cover histograms, cumulative frequency, mean, median, mode and quartiles, the probability section has been sharpened. Conditional probability P(A|B) is now explicitly required, and candidates should be fluent in both tree‑diagram representations and the formula P(A ∩ B) = P(A) P(B|A).
虽然考纲仍涵盖直方图、累积频率图、平均数、中位数、众数和四分位数，但概率部分的要求更加明确。现在明确要求掌握条件概率P(A|B)，考生应能熟练使用树图表示和公式 P(A ∩ B) = P(A) P(B|A)。
Context‑based probability problems, such as those involving selection without replacement or interpreting two‑way tables, are used to test the higher‑order AO2 and AO3 skills. This trend elevates the importance of reading and constructing statistical arguments.
基于情境的概率问题，例如涉及不放回抽样或解读双向表格的题目，被用来测试高阶的AO2和AO3技能。这一趋势提升了阅读和构建统计论证的重要性。
9. Paper 1 and Paper 2: Format and Distinctions | Paper 1与Paper 2：格式与区别
Both papers are now 2 hours long, carry 80 marks each and contribute 50% to the final grade. However, their focus differs in a subtle but significant way. Paper 1 is described as assessing knowledge and skills across the full syllabus with an emphasis on ‘short‑structured questions’, whereas Paper 2 targets the same content but through ‘longer questions requiring interpretation and application, often in a real‑world context’.
两张试卷现在均为2小时，满分80分，各占总成绩的50%。但它们的侧重点存在细微而重要的差异。Paper 1旨在考查全考纲的知识和技能，偏重“短结构化题目”，而Paper 2则瞄准相同内容，但通过“需要解读与应用、常置于真实情境中的较长题目”来考查。
Practically, Paper 2 will demand more written reasoning, modelling decisions and multistep problem‑solving, aligning closely with the increased AO2 and AO3 weightings. Time management and the ability to explain solutions in words gain new importance.
实际上，Paper 2将要求更多的文字推理、建模决策和多步骤问题解决，与增加的AO2和AO3权重高度契合。时间管理和用文字解释解答的能力变得前所未有的重要。
10. Trends: Modelling and Real‑World Applications | 趋势：数学建模与真实情境应用
The 2025–2027 syllabus and specimen papers reveal a decisive shift towards mathematical modelling. Expect questions that frame algebraic, trigonometric or calculus problems within practical scenarios — such as modelling the height of a tide, the growth of a bacterial population, the trajectory of a projectile, or the cost function of a small business.
2025–2027年考纲及样卷显示出了一次向数学建模的决定性转变。可以预见，题目会以实际场景为背景来呈现代数、三角或微积分问题——例如模拟潮汐高度、细菌种群增长、抛射体轨迹或小企业的成本函数。
This trend not only raises the perceived difficulty but also rewards those who focus on understanding, rather than rote learning. Candidates will benefit from practising how to extract mathematical variables from a word description and how to interpret their computed results back into the original context.
这一趋势不仅提高了试题的感知难度，也奖励那些注重理解而非死记硬背的学生。练习如何从文字描述中提取数学变量，以及如何将计算结果解释回原始情境，将使考生受益匪浅。
11. Preparation Strategies for 2026 Candidates | 2026年考生备考策略
Adapting to the 2026 paper requires more than updating a revision checklist. Start by ensuring your scientific calculator is familiar and set to the correct angle mode (radians by default in many questions). Practise solving all types of equations — including those with absolute values — both analytically and by using built‑in solver functions to verify answers.
适应2026年考试的要求不仅仅是更新复习清单。首先要确保你熟悉自己的科学计算器，并将其设置为正确的角度模式（许多题目默认使用弧度）。练习解各类方程——包括含有绝对值的方程——既要会用解析方法，也要会利用内置的求解函数来验证答案。
Deepen your understanding of function transformations by sketching graphs manually before checking with a calculator. Work through modelling problems where you must construct an algebraic expression from data points or a verbal scenario. For probability, master tree diagrams with conditional nodes and practise interpreting two‑way tables and histograms.
通过先手绘草图再用计算器核对，加深对函数变换的理解。完成那些需要你根据数据点或文字描述构建代数表达式的建模问题。在概率方面，掌握带有条件节点的树图，并练习解读双向表格和直方图。
Finally, practise full past papers under timed conditions, noting that while older papers (pre‑2025) are still useful, you must ignore questions on sets and matrices and adjust for the calculator‑permitted format on all papers.
最后，在计时条件下进行完整的真题模拟练习，注意虽然旧版真题（2025年前）仍然有用，但你必须跳过集合和矩阵的题目，并适应所有试卷均可使用计算器的新形式。
12. Conclusion and Final Thoughts | 总结与最终思考
The 2026 CAIE IGCSE Additional Mathematics examination represents a modernised, more applied and conceptually rigorous version of the subject. The removal of sets and matrices, the introduction of calculator‑friendly all‑paper formats, the shift towards
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