📚 Oxbridge Admissions Tests Explained: MAT, PAT, TSA, ECAA, ENGAA and NSAA | 牛剑入学考试大盘点：MAT、PAT、TSA、ECAA、ENGAA 与 NSAA 全解析
Anyone who wants to enter a top institution such as Oxford or Cambridge has to clear a series of highly demanding admissions tests before the interview stage, and the difficulty and flexibility of those tests often exceed what most applicants expect.
那些想要进入像牛津、剑桥这般顶尖学府的申请者，在面试之前都得先去通过一系列极具挑战性的入学考试，而这些考试的难度以及灵活度常常会超出好多人的预期。
1. Why Oxbridge Uses Admissions Tests | 为什么牛剑要设置入学考试
Grades alone no longer separate applicants. With a large share of candidates predicted A*A*A or above, a written admissions test gives tutors a common, independently marked data point that is comparable across thousands of schools and countries.
单靠成绩已无法区分申请者。当相当比例的考生预测成绩都在 A*A*A 及以上时，笔试为导师提供了一个统一、独立评分的参照点，可以在数千所学校与不同国家之间进行横向比较。
The tests are also designed to reward understanding of core concepts rather than memorised procedures. A candidate who has only drilled past-paper templates usually stalls as soon as a question is rephrased, because the test is measuring how you think, not what you have rehearsed.
这些考试的设计意图，是奖励对核心概念的理解，而不是对解题套路的背诵。只会刷历年真题模板的考生，一旦题目换个问法就会卡住，因为考试测量的是你如何思考，而不是你背过什么。
Finally, the tests act as a filter before interview. Interview slots are limited, so departments use the score to decide who is worth a 30-minute academic conversation.
最后，这些考试还起到面试前的筛选作用。面试名额有限，因此院系会用分数来决定谁值得获得一场 30 分钟的学术对话。
2. The Full Picture: Which Test for Which Course | 考试全景：哪个专业考哪一门
The table below summarises the main tests discussed in this article, the universities that used or still use them, and the courses they were built for.
下表汇总了本文讨论的主要考试、使用这些考试的大学，以及它们所对应的专业方向。
| Test | University | Typical Courses | Format at a Glance |
| MAT | Oxford | Mathematics, Computer Science, joint honours | Around 2.5 hours, now computer-based |
| PAT | Oxford | Physics, Engineering Science, Materials Science | Around 2 hours, now computer-based |
| TSA | Oxford | PPE, Economics and Management, Psychology and related courses | Reasoning paper with multiple-choice items, computer-based |
| ECAA | Cambridge (formerly) | Economics | After the 2020 reform, Section 1 was cut to 60 minutes |
| ENGAA | Cambridge (formerly) | Engineering | Section 1 completed in 60 minutes |
| NSAA | Cambridge (formerly) | Natural Sciences | Mathematics plus Biology, Chemistry or Physics sections |
One important update: from the 2023 admissions cycle onwards, Cambridge replaced ENGAA and NSAA with the ESAT (Engineering and Science Admissions Test) and stopped running ECAA, moving Economics towards a different mathematics-based test. The reasoning and workload of the old papers, however, remain an excellent training ground.
一个重要更新：自 2023 申请季起，剑桥以 ESAT（工程与科学入学考试）取代了 ENGAA 与 NSAA，ECAA 也停止举办，经济学转向另一门以数学为核心的考试。不过，旧试卷的思维方式和训练强度，依然是极好的备考素材。
3. Oxford MAT: Test of Mathematics for University Admission | 牛津数学入学考试 MAT
MAT is the admissions written test for Oxford mathematics, computer science and related joint degrees. In the 2021 paper, the first five long questions kept a stable style, while the real discrimination was hidden in the later sub-parts. The design aims to probe how deeply a student understands core mathematical ideas instead of simply applying a formula.
MAT 乃是牛津大学数学、计算机等相关专业的入学笔试。在 2021 年的那次考试里，前五道大题的题型维持稳定，然而区分度主要隐匿于后续的小问当中，题目设计意在深度考查学生对于核心数学概念的理解，并非单纯地套用公式。
Many candidates reported that the questioning style became more flexible and that the overall difficulty rose compared with previous years. During problem solving, students often get stuck at several points because their thinking cannot switch direction fast enough, and some fail to finish every question within the time limit. This places a high demand on logical reasoning and adaptability.
诸多考生表明，题目的考法变得更为灵活多样，整体的难度相较于往年而言有所提高。在进行解题的进程当中，考生常常会因为思路转换达不到足够快的程度，从而在好多环节被卡住，甚至不能够在规定的时间范围之内完成全部的题目，这对于逻辑思维以及应变能力提出了相当高的要求。
ting that to zero locates the stationary points. Questions rarely ask for the derivative alone; they ask what the derivative tells you about the shape of the graph.
MAT 的典型能力是熟练的求导与曲线分析。例如，对 y = x³ − 3x² + 2x 求导得到 dy/dx = 3x² − 6x + 2，令其为零即可求出驻点。题目很少只问导数本身，而是问导数告诉了你关于图形形状的什么信息。
dy/dx = 3x² − 6x + 2 = 0 → x = 1 ± √3 ÷ 3
Because MAT is now delivered on screen, familiarity with the interface, the on-screen notepad and the flag-and-review function is part of the preparation, not an optional extra.
由于 MAT 现在采用机考形式，熟悉界面、屏幕上的草稿区以及标记回看功能，已经成为备考的一部分，而不再是可有可无的附加项。
4. Oxford PAT: Physics Aptitude Test | 牛津物理入学考试 PAT
PAT is the hurdle every applicant for Oxford physics, engineering and related courses has to face. When preparing, the first step is to read the official syllabus carefully and make sure no knowledge point is missed, because that checklist is the foundation for coping with the breadth and depth of the paper.
PAT 是申请牛津大学物理、工程等专业时必须要面对的一道关卡。去准备这门考试的时候，起初需要认真仔细地研读官方所发布的教学大纲，要确保知识点不存在遗漏，这可是应对其广度与深度的基础了。
In recent years PAT has shown a new trend: the number of questions has increased noticeably, which makes the exam time extremely tight. A more striking change is that although it is called a physics aptitude test, the paper contains a large amount of complicated function work, calculus and simultaneous equations, with heavy computation and awkward numbers, testing speed and accuracy in mathematical manipulation.
近年来，PAT 考试呈现出新趋势，题目数量显著增多，致使考试时间极为紧张。更为突出的变化在于，虽称作物理能力测试，然而考试里涵盖大量繁杂的函数、微积分以及方程组运算，计算量庞大并且数字设计繁杂，对考生的数学运算速度与准确性形成了严峻考验。
one of them is difficult alone, but under time pressure you must select and rearrange them without hesitation.
必须烂熟于心的公式包括：速度 = 路程 ÷ 时间、F = ma、E = ½mv²、pV = nRT 以及 ΔE = mcΔθ。单独看每一个都不难，但在时间压力下，你必须毫不犹豫地选出并变形使用它们。
v = Δs ÷ Δt | a = Δv ÷ Δt | E = ½mv² | pV = nRT
A practical rule is to budget roughly 90 seconds per mark, and to leave any question that has consumed more than three minutes, returning to it only after the rest of the paper is complete.
一条实用法则是：大约每得 1 分预算 90 秒；任何一道题超过三分钟就先行跳过，等整份试卷做完后再回头处理。
5. Oxford TSA: Thinking Skills Assessment | 牛津思维技能评估 TSA
TSA is designed to assess critical thinking and problem-solving ability. Since it moved to a computer-based format, adapting to the test mode and interface has itself become part of the challenge, and in some years many candidates felt panicked not because of the content of the questions.
TSA 致力于对学生的批判性思维以及问题解决能力予以评估。自从转变为机考形式以后，考试模式跟界面适应自身也变成了挑战里的一部分，今年的考试使得不少考生觉得惊慌失措，并不完全是源于题目内容。
The scope of the test focuses on logical reasoning and the evaluation of arguments, which requires candidates to process a large amount of information in a short time and then make precise judgements. This kind of direct examination of hardcore thinking ability has no fixed body of knowledge to rely on, so it demands a solid foundation built through daily thinking practice.
考试所涉及的范畴着重于逻辑方面的推理以及以论证为对象的评估，这就要求考生在短时间之内去处理数量众多的信息，并且还要做出精确无误的判断。针对 "硬核" 思维能力所展开的这种直接性考察情形，不存在那种能够依据的固定知识范围，它要求考生拥有坚实巩固的依托于日常思维训练的基础。
Typical item families include identifying an assumption, spotting a flaw in reasoning, matching the logical structure of one argument to another, and interpreting numerical or graphical data. There is almost no content you can memorise the night before.
典型题型包括：找出论证的隐含假设、识别推理中的漏洞、将一个论证的逻辑结构匹配到另一个论证，以及解读数据或图表。几乎没有内容可以靠考前一夜背诵解决。
Note that the exact structure and timing of TSA have been revised more than once in recent years, including changes to the written component, so always confirm the current specification on the official Oxford admissions site before you plan your practice.
需要注意的是，TSA 的具体结构与时长近年来已被多次调整，包括写作部分的变动，因此在制定练习计划前，务必到牛津官方招生网站确认当年的最新考试说明。
6. Cambridge ECAA: Economics Admissions Assessment | 剑桥经济入学评估 ECAA
ECAA was the selection test for the Cambridge economics course. From 2020 onwards, the first part was cut from 80 minutes down to 60 minutes, yet the number of questions actually increased, and the item types were reorganised into 20 mathematics problems and 20 advanced mathematics problems.
名为 ECAA 的考试，是针对剑桥大学经济学专业的选拔考试。自 2020 年开始，它的第一部分考试时间，从原本的 80 分钟被修改为缩短至 60 分钟，然而，此部分的题量却出现了有所增加的情况，并且在题型方面，被调整成为数学问题以及高等数学问题各 20 道。
Candidates in recent years generally found that the difficulty of the first part had risen markedly. Completing more and more complex mathematics items in less time is a severe test of mental arithmetic, solving speed and the ability to stay calm under pressure, while the remaining parts of the test largely kept their previous difficulty level.
近几年参加考试的学生普遍觉得，第一部分的难度明显提高了。要在更短时间里做完更多且更复杂的数学题目，这对学生的心算能力、解题速度以及抗压能力而言，都是极大的挑战，而考试的其他部分基本上维持了以往的难度水准。
The economics lesson from ECAA is generic and still applies today: the mathematics inside an economics admissions test is mostly A-Level content, but it is delivered at a pace that punishes hesitation. Percentage change, ratios, simultaneous equations and simple optimisation come up constantly.
ECAA 给出的经验具有普遍意义，今天依然适用：经济学入学考试里的数学，主体是 A-Level 范围内的内容，但它的呈现节奏会惩罚任何犹豫。百分比变化、比例、联立方程与简单最优化问题反复出现。
Percentage change = (New − Old) ÷ Old × 100%
Since ECAA was discontinued, Cambridge economics applicants have been directed towards a different mathematics-based test, so check the requirements for your own application year rather than relying on older guides.
由于 ECAA 已经停办，剑桥经济学的申请者被导向另一门以数学为主的考试，因此请以你本人申请年份的要求为准，而不要依赖过时的攻略。
7. Cambridge ENGAA: Engineering Admissions Assessment | 剑桥工程入学评估 ENGAA
ENGAA was used to select applicants for the Cambridge engineering course. In its first part, the difficulty of the questions and the volume of computation in recent years showed a downward trend compared with 2020. That does not mean the paper had become easy.
ENGAA 被用于对剑桥大学工程专业申请者开展选拔。针对其第一部分，在近些年里，题目的难度以及计算量，相较于 2020 年的时候，呈现出下降的态势，然而，这并不能表明考试就变得容易了。
Candidates still had to finish every question efficiently within 60 minutes, so they needed to maintain a high level of concentration along with fast and accurate calculation. The paper tested not only physics and mathematics knowledge but also on-the-spot condition and time management, which made it a comprehensive assessment.
考生需在 60 分钟内，高效地完成全部题目，为此仍得保持高度集中的注意力以及快速准确地计算能力。这场考试，不但检验物理知识与数学知识，更是针对临场状态以及时间管理能力的综合测评。
The engineering content leaned heavily on mechanics, electricity and thermal physics, and questions were often set in an unfamiliar context such as a rotating shaft or a fluid pipe, so the skill being tested was translation: turning a word problem into equations.
工程部分的内容高度依赖力学、电学与热学，题目常被放在如旋转轴或流体管道这类陌生情境中，因此真正被考查的能力是"翻译"：把文字问题转化为方程。
Moment = F × d | V = IR | Efficiency = Useful output ÷ Total input × 100%
8. Cambridge NSAA: Natural Sciences Admissions Assessment | 剑桥自然科学入学评估 NSAA
NSAA was the admissions test for the Cambridge natural sciences course, and it covered several directions including biology, chemistry and physics. As far as the chemistry section was concerned, in recent papers the second part rose in difficulty: the stems became longer and carried more information. Although nothing went beyond the syllabus, the complexity of comprehension and problem solving increased noticeably.
入学考试 NSAA，是针对剑桥大学自然科学专业的了，此考试在生物、化学、物理等多个方向上都有涵盖了。就化学部分而言，在近年展开的那场考试中了，第二部分的题目难度出现了上升的情况了，题干变得更长了，所含的信息量也增多了，虽然说并没有超出大纲范围了，但是理解以及解题的复杂度明显提高了。
The biology section showed a significant increase in the amount of calculation, requiring candidates to act like a calculator with human functions and carry out quick arithmetic. Feedback on the physics section also pointed to rising difficulty, especially because time was tight in the first part.
生物部分呈现出计算量显著增多的状况，要求考生仿若 "拥有人体机能的计算器" 那般开展迅速运算。物理部分的反馈也表明难度有所提高，特别是第一部分时间紧迫。
In addition, questions often contained hidden conditions or verbal traps, so candidates had to read the wording with great care. Missing the word "except" or "not" could turn a correct calculation into a wrong answer.
此外，题目里常常设置隐藏条件或者 "文字圈套"，要求考生在审题时万分严谨。漏看 "except" 或 "not" 这样的词，就可能把一次正确的计算变成错误答案。
Biology calculation items typically involved magnification, surface area to volume ratio and rates of reaction, for instance:
生物计算题通常涉及放大倍数、表面积与体积之比以及反应速率，例如：
Magnification = Image size ÷ Actual size | Rate = ΔAmount ÷ ΔTime
As with ENGAA, NSAA has since been replaced by the ESAT, in which candidates sit Mathematics 1 plus two modules chosen from Biology, Chemistry, Physics and Mathematics 2.
与 ENGAA 一样，NSAA 此后已被 ESAT 取代，考生需要参加数学 1，再从生物、化学、物理和数学 2 中选考两个模块。
9. Mathematics Is the Common Language | 数学是所有考试的共同底座
Look across MAT, PAT, TSA, ECAA, ENGAA and NSAA and a pattern emerges: every one of them assumes fluent algebra, ratio reasoning, unit conversion, graph interpretation and often a little calculus.
把 MAT、PAT、TSA、ECAA、ENGAA 和 NSAA 放在一起看，规律就浮现出来：它们全都预设你具备熟练的代数运算、比例推理、单位换算、图像解读能力，往往还需要一点微积分。
In the science papers the mathematics is rarely labelled as mathematics. It appears inside a chemistry question about concentration, a physics question about energy transfer or a biology question about rates:
在理科试卷里，数学很少被明确标注为数学。它藏在化学的浓度问题、物理的能量传递问题或生物的反应速率问题之中：
c = n ÷ V | ρ = m ÷ V | pV = nRT | Gradient = Δy ÷ Δx
A practical implication follows from this: if your arithmetic and algebra are automatic, you free up working memory for the actual reasoning. If they are not, you will run out of time regardless of how well you understand the physics.
由此可得一个实用结论：如果运算与代数已经自动化，你就能把工作记忆留给真正的推理；如果做不到，无论你多懂物理，都会在时间上崩掉。
Twenty minutes of mental arithmetic and ratio drills four times a week, sustained for two months, produces a visible improvement in scores that has nothing to do with new knowledge.
每周四次、每次二十分钟的心算与比例训练，坚持
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