📚 Year 10 Cambridge IGCSE Additional Mathematics: 2026 Exam Changes & Trends | 2026剑桥IGCSE附加数学考试变化与趋势
As Year 10 students begin their Cambridge IGCSE journey, understanding the 2026 exam format for Additional Mathematics (0606) is crucial. The 2025–2027 syllabus introduces significant changes that will directly affect teaching, learning, and exam technique. This article breaks down the new paper structure, content adjustments, and emerging trends that will shape the 2026 exams.
对于刚刚开始剑桥 IGCSE 学习的 Year 10 学生来说，了解 2026 年附加数学（0606）的考试形式至关重要。2025–2027 版教学大纲带来了直接影响教学与应试技巧的重大变化。本文详细解析新的试卷结构、内容调整以及影响 2026 年考试的新趋势。
1. New Exam Structure: Non-calculator Paper 1 and Calculator Paper 2 | 新试卷结构：非计算器卷1与计算器卷2
From the 2025 syllabus onwards, Paper 1 has become a non-calculator paper. It still lasts 2 hours and carries 80 marks, covering the full syllabus without any computational aid. Paper 2 remains a calculator paper, also 2 hours and 80 marks, and both papers contribute 50% to the final grade. This split fundamentally changes how students must prepare.
从 2025 版教学大纲开始，卷 1 变为不允许使用计算器的试卷。它依然时长 2 小时，满分 80 分，考查全部内容且无任何计算辅助。卷 2 仍是可使用计算器的试卷，同样为 2 小时、80 分，两卷各占总成绩的 50%。这一划分从根本上改变了学生的备考方式。
You will be required to perform algebraic expansions, trigonometric evaluations, and derivative calculations entirely by hand in Paper 1. This means mental arithmetic, fraction manipulation, and estimation skills are no longer optional—they are essential for a high score.
你将需要在卷 1 中完全靠手算完成代数展开、三角求值和导数运算。这意味着心算、分数运算和估算能力不再是可有可无——它们对于取得高分至关重要。
2. Removed Topics & What’s No Longer Examined | 删除的知识点与不再考查的内容
The updated syllabus removes sets and set notation entirely. Venn diagrams, union, intersection, and complement problems no longer appear, freeing up precious revision time for deeper algebra. Additionally, the standalone topic of matrices has been eliminated. While matrix representations may surface in some transformation contexts, you will not face dedicated matrix calculation questions.
更新后的教学大纲完全删除了集合与集合符号。维恩图、并集、交集和补集问题不再出现，这为更深入的代数学习腾出了宝贵的复习时间。此外，独立的矩阵单元也已被取消。尽管矩阵表示法可能在某些变换语境中露面，但不会出现专门的矩阵运算题。
These cuts reflect the syllabus designers’ focus on continuous mathematical processes—functions, calculus, and modelling—rather than discrete structures. For Year 10 learners, this means less memorisation of set language and more time to build algebraic fluency.
这些删减反映出大纲设计者更注重连续数学过程——函数、微积分和建模——而非离散结构。对 Year 10 学生而言，这意味着减少了集合语言的记忆，有更多时间培养代数流利度。
3. New Added Topics & Emphasised Areas | 新增和强化的知识点
Kinematics in one dimension has been introduced as a brand-new topic. You will now apply differentiation and integration to displacement, velocity, and acceleration functions. This not only strengthens your calculus skills but also tests your ability to interpret physical motion in mathematical terms.
一维运动学作为一个全新主题被引入。你现在需要将微分和积分应用于位移、速度和加速度函数。这不仅强化你的微积分技能，还测试用数学语言解释物理运动的能力。
The syllabus also places greater emphasis on modelling with functions. Real-world contexts—such as profit, population growth, or cooling curves—feature prominently. You must be able to construct appropriate functions, find maximum or minimum values, and interpret results meaningfully. This shift aligns with AO3 problem-solving objectives.
教学大纲也更加强调用函数建模。真实世界情境——如利润、人口增长或冷却曲线——占据显著地位。你必须能够构建合适的函数，求出最大值或最小值，并有意义地解读结果。这一转变与 AO3 问题解决目标相呼应。
4. Deeper Algebra & Non-calculator Skills | 更深代数与非计算器能力
With a full non-calculator paper, algebraic manipulation moves from being a useful tool to an absolute necessity. You must confidently simplify surd expressions like √18 + 2√8, solve exponential equations such as 2x = 3x-1 by taking logarithms manually, and factorise cubic polynomials without computational help.
由于有了完整的非计算器试卷，代数变形从一项有用工具变成了绝对必备的能力。你必须自信地化简如 √18 + 2√8 的根式，通过手动取对数求解如 2x = 3x−1 的指数方程，并在无计算辅助下分解三次多项式。
Practise simplifying rational expressions, completing the square for quadratics where the coefficient of x² is not 1, and using polynomial long division to break down higher-degree functions. These skills will be directly tested in Paper 1, often within more demanding problem-solving questions.
练习化简有理式、对二次项系数非 1 的二次式进行配方法，以及使用多项式长除法分解高次函数。这些技能将在卷 1 中被直接考查，通常出现在要求更高的问题解决题中。
5. Integration & Differentiation Changes | 积分与微分的调整
Calculus remains a cornerstone of Additional Mathematics, but the assessment focus has shifted. Definite integration is now explicitly used to find areas between curves and the x-axis, and you may be asked to evaluate such integrals without a calculator in Paper 1. Differentiation of trigonometric, exponential, and logarithmic functions is core, with increased attention to the second derivative test for maximum and minimum points.
微积分依然是附加数学的基石，但评估重点已经转移。定积分现在被明确用来求曲线与 x 轴之间的面积，而且卷 1 可能要求你在无计算器下计算这类积分。三角函数、指数函数和对数函数的微分是核心，同时更加关注用二阶导数检验来判定极大极小点。
If y = 2x³ − 9x² + 12x, then dy/dx = 6x² − 18x + 12.
若 y = 2x³ − 9x² + 12x, 则 dy/dx = 6x² − 18x + 12.
You must be able to sketch the gradient function dy/dx and determine stationary points without plotting technology. Understanding the geometric meaning of derivatives will help you answer questions that combine algebra with graphical interpretation.
你必须能够画出导函数 dy/dx 的草图，并在不借助绘图技术的情况下确定驻点。理解导数的几何意义将有助于你回答结合代数与图形解读的题目。
6. Kinematics and Real-world Modelling | 运动学与真实世界建模
+ 9t. You then find velocity v = ds/dt and acceleration a = dv/dt, and determine when the particle is at rest or changes direction.
运动学将抽象微积分与具体运动联系起来。典型题目给出位移 s 关于时间 t 的函数，例如 s = t³ − 6t² + 9t。然后你需求出速度 v = ds/dt 和加速度 a = dv/dt，并确定质点何时静止或改变方向。
v = ds/dt, a = dv/dt = d²s/dt²
v = ds/dt，a = dv/dt = d²s/dt²
This topic demands both procedural fluency and conceptual clarity. You must interpret negative velocity as moving backwards and zero velocity as instants of rest. With modelling becoming more prominent, you could also face problems involving minimum velocity or total distance travelled, which require integrating the absolute value of velocity.
该主题要求既要操作熟练，又要概念清晰。你必须将负速度解读为向后运动，将零速度解读为瞬时静止。随着建模的比重增加，你还可能面临涉及最小速度或总路程的问题，这需要积分速度的绝对值。
7. Changes in Marking & Assessment Objectives | 评分和评估目标的变化
The weighting of assessment objectives has been recalibrated. AO1 (Knowledge and technique) remains near 45%, AO2 (Application and reasoning) has increased to about 35%, and AO3 (Analysis and problem solving) sits at approximately 20%. This means more marks are allocated to interpreting unfamiliar problems and devising strategies, rather than reproducing rehearsed routines.
评估目标的权重已经重新校准。AO1（知识与应用技巧）保持在 45% 左右，AO2（应用与推理）提高至约 35%，AO3（分析与问题解决）则约占 20%。这意味着更多分数将分配给解读陌生问题和设计解题策略，而非再现演练过的套路。
In practice, you will see questions that weave together multiple topics—for example, combining logarithms with quadratics, or trigonometry with polynomial algebra. The mark scheme rewards clear logical steps and valid alternative methods, so it is vital to show your reasoning, especially in the non-calculator paper where estimation may also carry marks.
实际上，你会看到融合多个主题的题目——例如将对数与二次方程结合，或将三角学与多项式代数结合。评分方案奖励清晰的逻辑步骤和有效的替代方法，因此展示推理过程至关重要，尤其是在非计算器卷中，估算也可能给分。
8. Calculator Use: What’s Allowed and Strategy | 计算器使用：规定与策略
Paper 2 permits any standard scientific calculator that complies with Cambridge regulations. Graphing calculators and symbolic algebra systems are prohibited. Make sure your calculator, such as the Casio fx-991CW or similar, is set to exam mode if required by your centre.
卷 2 允许使用符合剑桥规定的标准科学计算器。图形计算器和符号代数系统是禁止的。确保你的计算器（如卡西欧 fx-991CW 或类似型号）在使用中心要求下设置为考试模式。
s to one decimal place, and recall common logarithm values like log 2 ≈ 0.301 and log 3 ≈ 0.477. Practise these skills regularly so they become automatic.
卷 1 完全不能使用计算器。因此你必须熟记 30°、45°、60° 和 90° 的精确三角比，能够估算根式到小数点后一位，并记住常用对数值如 log 2 ≈ 0.301 和 log 3 ≈ 0.477。定期练习这些技能，使其成为本能。
9. 2026 Trends: Exam-Style Questions & Difficulty | 2026年趋势：考题风格与难度
problems with minimal scaffolding will become the norm. You might be given a velocity function and asked to find the total distance travelled between t=0 and t=4 without explicitly telling you to first find when velocity is zero—you must deduce that step yourself.
随着新大纲趋于稳定，预计 2026 年试卷会比 2025 年样卷更加完善且难度略高。几乎无引导的多步骤问题将成为常态。你可能会被给出一条速度函数，要求找出 t=0 到 t=4 之间经过的总路程，且不会明确告诉你先求速度为零的时刻——你必须自己推断出这一步。
Cross-topic integration is a clear trend. Expect questions that merge exponential functions with straight line graphs through logarithmic transformation, or that combine circular measure with trigonometric equations. Higher-order thinking, such as proving a particle never returns to the origin, will appear more frequently. Familiarise yourself with unstructured problems now.
跨主题融合是明确的趋势。预计会出现通过取对数将指数函数与直线图形结合的题目，或将弧度制与三角方程结合的问题。高阶思维，如证明质点永远不会返回原点，将更频繁出现。现在就熟悉非结构化问题吧。
10. How Year 10 Students Should Prepare | Year 10 学生如何备考
Start building non-calculator confidence from day one. Set aside regular practice time where you solve entire exercises—quadratic inequalities, polynomial factorisation, surds, and logarithms—without touching a calculator. Sketch functions by hand to internalise the shape of polynomials, trig curves, exponentials, and their derivatives.
从第一天起就开始建立非计算器信心。每周安排固定练习时间，在不碰计算器的情况下完成整组习题——二次不等式、多项式因式分解、根式和对数。通过手绘函数图像来内化多项式、三角曲线、指数函数及其导数的形状。
Work through past paper questions from the 2025 specimen papers and adapt old syllabus questions by solving them without a calculator. Focus on understanding why each algebraic step is valid, not just on getting the right answer. When you learn a new topic, immediately apply it in a modelling context—for instance, use differentiation to maximise the area of a rectangle inscribed in a semicircle.
练习 2025 年样卷中的真题，并将旧大纲题目改编为无计算器作答。专注于理解每一步代数运算为何有效，而不仅仅是得出正确答案。每学习一个新专题，就要立即将其应用于建模情境中——例如，利用微分求半圆内接矩形的最大面积。
Finally, use the official Cambridge IGCSE Additional Mathematics (0606) syllabus as your checklist. Ensure you can confidently answer questions on every listed item, and never neglect the command words such as 'prove', 'show', and 'hence', which signal the need for structured reasoning. Consistent, bilingual exposure to terminology will also help you decode questions accurately under exam pressure.
最后，将剑桥 IGCSE 附加数学（0606）官方教学大纲作为您的清单。确保能自信地回答每个列出的条目，切勿忽视'证明'、'显示'和'由此'等指令词，它们提示需要结构化推理。持续接触中英双语术语也有助于在考试压力下准确解读题意。
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