TMUA适用方向 数学 经济 计算机 七所院校
TMUA 的全称是 Test of Mathematics for University Admission，中文常译作大学入学数学考试。它不是一门学校课程考试，而是英国七所大学的数学、经济与计算机相关专业用来筛选申请人的入学笔试。出题方是 UAT-UK，这家机构由剑桥大学与帝国理工学院合办，具体考务交给 Pearson VUE 承办。哪些课程要考，只有各校课程页面与 UAT-UK 官网的 Course List 说得算。这篇把 2027 入学周期里的强制与建议清单逐一列清，顺带把考试本身的知识边界写明白。
In short, the TMUA is an admissions test rather than a school qualification. Seven UK universities use it to compare applicants for mathematics, economics and computer science degrees, and each institution decides which of its own courses need it. Some treat it as compulsory and others merely recommend it, so no single blanket rule exists. The lists below follow the UAT-UK Course List for 2027 entry.
TMUA 是 UAT-UK 出题的数学入学笔试
很多学生以为 TMUA 是某所大学自己出的卷子，实际上它由 UAT-UK 统一命题，七所院校共用同一份成绩。UAT-UK 由剑桥大学与帝国理工学院在 2023 年 12 月合资成立，性质是非营利机构。三项笔试分别是 ESAT、TMUA 与 TARA，其中 ESAT 与 TMUA 在 2024 年 10 月首次开考，TARA 在 2025 年 10 月首次开考。考试全程在 Pearson VUE 的专业考点上机完成，考点网络覆盖一百八十多个国家和地区。TMUA 的定位是数学思维，考的是推理与判断，不是知识广度。它用到的数学都在中学范围之内，拉开差距的地方在于熟悉的工具放进陌生情境之后还能不能推下去。
The TMUA is set by UAT-UK, a non-profit venture founded by the University of Cambridge and Imperial College London in December 2023, and it is delivered on computer at Pearson VUE test centres worldwide. Because one common paper serves all seven universities, a single score travels with your application. The design brief is mathematical thinking rather than breadth of content, which is why nothing in the specification sits beyond school mathematics. What separates candidates is how they cope once a familiar technique meets an unfamiliar setting.
七所院校用它选拔 只有部分课程要求
TMUA 官网写明，目前有七所大学在数学、经济或计算机的部分课程上使用这份成绩。这七所分别是剑桥大学、帝国理工学院、牛津大学、伦敦政治经济学院、伦敦大学学院、华威大学与杜伦大学。强制还是建议，各校写法不同：有的课程把笔试写成必需条件，不报名就可能让申请失效；有的只写 recommended，意思是考了有帮助，但不构成门槛。常见的错误是看到数学相关专业就默认要考，结果报了并不需要笔试的课程，白白消耗一个考季的复习时间。核对顺序很简单，先拿到课程在 UCAS 上的代码，再去 UAT-UK 官网的 Course List 与该校课程页面对一遍。
Seven institutions currently use the TMUA for at least some of their mathematics, economics or computer science courses, and the wording on each course page tells you whether the test is compulsory or optional. Where it is compulsory, failing to register can invalidate the application altogether, while a recommended test simply adds evidence to a file. A surprisingly common mistake is to assume that any numerically demanding degree must require it; plenty do not, and sitting a test you never needed costs time and money.
两卷各 20 题 75 分钟 共 2 小时 30 分钟
TMUA 全场 2 小时 30 分钟，分成两卷，一卷接一卷做完，中间没有真正的休息。每卷都是 20 道五选一的选择题，各给 75 分钟，平均下来每道题只有 3 分 45 秒。卷面不给公式册，考纲原文要求考生自己记得并会用相关公式，平时依赖公式表的习惯要提前改掉。计算器与词典都不能带进考场，一切数值都要手算或者估算。答错不扣分，所以 40 道题每一道都值得留下一个答案，空着就是零分。成绩只有一个总分，1 到 9 分保留一位小数，两卷的原始分先做等值换算再合并。官方写明没有及格线，学校是把这份分数放进整套申请材料里一起看的。
Two 75 minute papers run back to back for a total of 2 hours 30 minutes, with 20 multiple choice questions in each. That works out at roughly 3 minutes 45 seconds per question, and there is no formula booklet, so recall has to come from memory rather than from a look-up sheet. Calculators and dictionaries are not permitted, which pushes arithmetic onto mental and written estimation. Marks are awarded only for correct answers, so every question is worth an attempt, and the two papers are equated and combined into one score reported from 1 to 9 to one decimal place. There is no pass mark, and universities read the result alongside the rest of the application.
考纲边界是 AS 数学与 GCSE 高阶数学
内容规范把知识范围写得很死，Section 1 的 Part 1 几乎全部落在 AS 数学的纯数部分。这一块按 MM 编号排下来，从 MM1 代数与函数、MM2 数列与级数、MM3 坐标几何，到 MM4 三角、MM5 指数与对数、MM6 微分、MM7 积分，最后是 MM8 函数图像。Part 2 则几乎全部落在 GCSE 高阶数学，编号是 M1 单位、M2 数、M3 比与比例、M4 代数、M5 几何、M6 统计、M7 概率。两部分有少量重叠，官方提醒考生两部分都要读一遍。考纲之外的内容不会出现，所以把 AS 纯数的基本功打牢，比刷偏题更划算。Paper 1 只考 Section 1，Paper 2 要把 Section 1 与 Section 2 一起用上。
The specification draws a firm boundary: Part 1 of Section 1 sits almost entirely inside AS level pure mathematics, while Part 2 sits almost entirely inside Higher Level GCSE mathematics. Topics are numbered, with MM1 to MM8 covering algebra, sequences, coordinate geometry, trigonometry, exponentials and logarithms, differentiation, integration and graphs, and M1 to M7 covering units, number, ratio, algebra, geometry, statistics and probability. There is deliberate overlap between the two parts, and candidates are told to read both.
Paper 1 考在新情境里应用数学知识
Paper 1 的名字是 Applications of Mathematical Knowledge，重点是把已知的数学用到新情境里。题目很少直接问定理本身，更常见的写法是先给一个陌生场景，再要求考生判断该用哪一件工具。比如同一道题会同时涉及二次函数的判别式与不等式的解集，解题路径要先自己搭出来。很多学生以为背熟公式就能应付，实际上卡人的地方往往是读懂题目到底在问什么。做这一卷时估算能力是被明确写进考纲的，遇到根式与圆周率的倍数要用精确形式，遇到复杂除法要能先估出数量级。平时练的时候建议掐时间做，因为 3 分 45 秒的压力会改变解题选择。错题按知识点归类，比按题号记更管用。
Paper 1, Applications of Mathematical Knowledge, rewards candidates who can deploy a technique inside an unfamiliar setting rather than recite it. Questions rarely ask for a definition; they hand you a scenario and expect you to choose the right tool. A typical item might combine the discriminant of a quadratic with the solution set of an inequality, so the route has to be assembled on the spot. Working accurately with surds and multiples of pi is expected in exact form, and the specification also asks for sensible estimation.
Paper 2 加考逻辑与证明 含常见证明错误
Paper 2 的名字是 Mathematical Reasoning，除了 Section 1 的知识，还要用到 Section 2 的逻辑与证明。Section 2 的第一块是论证的逻辑，要求看懂 and、or、not 的用法，以及 if A then B、A if B、A only if B、A if and only if B 四种句式，还有逆命题与逆否命题之间的关系。第二块是必要与充分、for all、for some、there exists 这几个量词，以及如何把它们否定掉。第三块是数学证明，考纲列出直接证明、分情况证明、反证法与举反例四种形式，还要求考生能把打乱的证明步骤排回正确顺序。第四块是识别证明错误，考纲给的两个例子是错误约分，以及由 sin A 等于 sin B 推出 A 等于 B。考纲明确说不考符号化记法，也不要求写真值表。这一步最容易丢分的地方，是把必要和充分两个方向说反。
Paper 2, Mathematical Reasoning, adds a logic and proof section on top of the same mathematical content. Candidates are expected to read statements built from and, or and not, to handle the four conditional forms, and to know how a statement relates to its converse and contrapositive. Necessary and sufficient conditions appear alongside for all, for some and there exists, together with the negation of each. On proof, the specification lists direct deduction, proof by cases, proof by contradiction and disproof by counterexample, and asks candidates to reorder jumbled steps into a valid argument.
剑桥要求 TMUA 的三门课程
剑桥大学有三门本科课程把 TMUA 写成必需：计算机科学 G400、经济学 L100，以及数学与 MMath 数学合并列出的 G100。想读剑桥数学或者计算机，十月场就要考出来，经济学同样如此。剑桥的工程 H100、自然科学 BCF0、化学工程与生物技术 H810、兽医学 D100 走的却是 ESAT，模块组合各不相同。很多学生以为报剑桥理工科就要考 TMUA，其实分界线落在数学与经济这一侧。剑桥申请人通常只能选十月场，例外只有一月招生截止的成熟学院。报名截止、考试窗口与出分日期都由 UAT-UK 官网的 Key Dates 页统一公布，错过截止日官方不做通融。
Cambridge lists the TMUA as compulsory for three courses: Computer Science G400, Economics L100, and Mathematics G100 in both the BA and MMath routes. Engineering, Natural Sciences, Chemical Engineering and Biotechnology, and Veterinary Medicine instead require the ESAT with different module combinations, so the split runs along the mathematics and economics side of the university. Most Cambridge applicants must sit in October, with the narrow exception of mature applicants to a mature college whose admissions deadline falls in January.
牛津要求 TMUA 的五门课程 集中在数学与计算机
牛津大学用 TMUA 的五门课程是：计算机科学 G400、计算机科学与哲学 IV15、数学与计算机科学 GG14、数学与哲学 GV15，以及数学与统计学合并列出的 G100。这五门都集中在数学与计算机这一侧，没有一门是纯经济方向。牛津的工程、物理、生物医学工程等课程走 ESAT，模块通常固定为数学 1、数学 2 与物理。同一所大学内部，三项笔试各自负责一块地盘，所以选课之前先确认自己落在哪一条线上。牛津官网写明，如果同时申请多所 UAT-UK 院校，同一项笔试只需要考一次。成绩按课程自动送出，考生既不能挑选收件方，也不能撤回。
Oxford requires the TMUA for Computer Science G400, Computer Science and Philosophy IV15, Mathematics and Computer Science GG14, Mathematics and Philosophy GV15, and the combined Mathematics and Statistics entry G100. All five sit on the mathematics and computing side of the university, and none of them is an economics course. Engineering, physics and biomedical engineering follow the ESAT route instead, usually with Mathematics 1, Mathematics 2 and Physics fixed as the module set. Oxford notes that the same test only needs to be taken once, and scores are forwarded automatically by course.
牛津的经济与管理考的是 TARA
这一处最容易看错：牛津的经济与管理 LN12 要求的是 TARA，不是 TMUA，而且 TARA 三个模块全部必修。牛津的实验心理学 C830、历史与政治 LV21、历史与经济 LV11、人类科学 BCL0、哲学语言学 VQ51、心理学与语言学 CQ81、心理学与哲学 CV85，以及哲学政治与经济 L0V0，同样都走 TARA。想读经济又盯着牛津的考生，如果只准备 TMUA，方向就偏了。反过来，LSE 的经济学 L101 考的确实是 TMUA，两所学校的同名专业落在两门不同的笔试上。核对办法只有一个，从 UAT-UK 官网的 Course List 上按 UCAS 代码查，别靠专业名称猜。错报笔试的代价不小，一个考季里每个考生只能注册一次。
A detail that trips people up constantly: Oxford's Economics and Management LN12 requires the TARA, not the TMUA, and all three TARA modules are compulsory. Experimental Psychology, History and Politics, History and Economics, Human Sciences, the philosophy and linguistics combinations, and Philosophy, Politics and Economics all take the same route. Meanwhile LSE's Economics L101 really does use the TMUA, so two courses with similar names sit on different tests. The only reliable check is to look up the UCAS code on the UAT-UK course list rather than reasoning from the subject title, because each candidate may register for only one sitting per cycle.
帝国理工的计算机与数学课程都要求 TMUA
帝国理工学院的计算机方向一共八门课程要求 TMUA，包括计算机 G400 与 G401、人工智能与机器学习 G700、国际学习项目 G402、管理与金融 G501、安全与可靠性 G610、软件工程 G600、可视计算与机器人 GG47。数学方向同样用 TMUA，覆盖数学 G100、纯数学 G125、数学与计算机科学 GG14 与 GG41、数学与海外一年 G104、应用数学与数学物理 G1F3、数学与计算 G102、数学与统计 G1G3、金融统计 G1GH，以及本硕连读的 G103。经济金融与数据科学 L1N3 也是 TMUA。帝国理工的其余专业走 ESAT，比如航空 H401、生物化学 C700、化学工程 H801、机械 H301、物理 F300。同一所大学两种笔试并存，选课时把课程代码抄下来最稳妥。
Imperial requires the TMUA across eight computing courses, from Computer Science G400 and G401 through Artificial Intelligence and Machine Learning G700 to Visual Computing and Robotics GG47, and across its mathematics family, including Mathematics G100, Pure Mathematics G125, Mathematics with Statistics G1G3, and the joint Mathematics and Computer Science degrees. Economics, Finance and Data Science L1N3 also takes the TMUA. Everything else at Imperial follows the ESAT, covering aeronautics, biochemistry, chemical and mechanical engineering and physics.
LSE 只有两门经济学强制 其余八门建议
伦敦政治经济学院的写法比较特别，Course List 明确写着 BSc Economics L101 与 BSc Econometrics and Mathematical Economics L140 两门把 TMUA 写成必需，其余列出的课程只写建议。建议名单包括精算学 N321 与带实习年的同名课程、数据科学 N3UD、经济与数据科学 L1N3、金融数学与统计 GN13、数学统计与商务 G0N0、数学与数据科学 G140、数学与经济 G1L1，以及数学与经济学 GL11。强制与建议的差别很实际：前两门不报名会让申请有风险，后八门不考只是少一份佐证。常见的错误是把建议当成必需，白白把十月的复习时间压在笔试上。反过来，如果目标就是 L101 或者 L140，那就不能只准备面试与个人陈述。
LSE draws a clear line: the TMUA is compulsory for BSc Economics L101 and BSc Econometrics and Mathematical Economics L140, and merely recommended for everything else it lists, which ranges from Actuarial Science N321 to Mathematics with Economics G1L1. That distinction has real consequences, since skipping a compulsory test can put an application at risk while skipping a recommended one costs only supporting evidence. Treating a recommendation as a requirement is a common way to lose October to test preparation that was never needed.
华威的计算机与数学强制 经济与数据类建议
华威大学的强制名单包括计算机科学 G400 与 G403、计算机科学与商务研究 GN42、离散数学 G190 与 G4G3、数学 G100 与 MMath G103，官网补了一句，符合条件的 contextual offer 申请人除外。建议名单更长，覆盖数据科学 7G73 与 G304、经济学 L100、经济与管理 LN12、经济政治与国际研究 LLD2、数学与统计 GG13 与 GGC3，以及数学运筹统计与经济 GLN0 与 MMORSE G0L0。华威的数学与计算机两张牌都压在 TMUA 上，目标专业一旦落进强制名单，十月场基本是唯一选择。看到 contextual offer 这个例外时，要先确认自己是否属于该校定义的放宽群体。不确定就去学院页面对一遍资格条件，别默认例外适用于自己。
Warwick makes the TMUA compulsory for Computer Science G400 and G403, Computer Science with Business Studies GN42, Discrete Mathematics G190 and G4G3, and Mathematics G100 with MMath G103, with an exception for applicants eligible for a contextual offer. Its recommended list is longer and spans Data Science, Economics, Economics and Management, Economics, Politics and International Studies, Mathematics and Statistics, and the operational research and economics degrees. Because both the computing and the mathematics families sit in the compulsory group, October is effectively the only sitting for those targets.
UCL 经济两门强制 杜伦数学四门建议
伦敦大学学院只有两门课程把 TMUA 写成必需：经济学 BSc Economics L100 与带海外学习的 BSc Economics with Study abroad L101。UCL 的计算机科学 G400、G402 与计算机科学和数学 G430，以及机械工程 H300 与 H301、机器人与人工智能 H700，走的是 TARA；电子电气工程 H600 与 H601 走 ESAT。杜伦大学的四门数学课程把 TMUA 写成建议而非必需：数学 G100、本硕连读数学 G103、数学与统计 G111 与 G114。同一张卷子在七所院校之间来回切换角色，有时是门槛，有时只是加分项。这正是核对必须落到具体课程代码的原因，笼统的判断往往会出错。如果时间只够准备一项笔试，先把自己所有志愿列出来，看落在哪条线的最多。
UCL requires the TMUA for just two degrees, Economics L100 and Economics with Study Abroad L101. Its computer science degrees, mechanical engineering and Robotics and Artificial Intelligence take the TARA, while Electronic and Electrical Engineering uses the ESAT. Durham goes the other way and lists the TMUA as recommended rather than compulsory for Mathematics G100, MMath Mathematics G103, and Mathematics and Statistics G111 and G114. The same paper therefore shifts between gatekeeper and bonus depending on where you apply, which is exactly why the check belongs at the level of the course code rather than the subject name.
只能考一次 牛剑通常必须十月场
在同一个申请周期里，考生只能注册并参加一次 TMUA，一月场不是重考机会，两场之间也没有难度上的优劣。剑桥与牛津的申请人通常必须在十月场应考，例外只有两处：剑桥一月招生截止的成熟学院，以及牛津的 Astrophoria 预科年。2027 入学周期里，账号自 2026 年 6 月 1 日开放，十月场报名从 7 月 20 日到 9 月 28 日 18:00 英国时间，考试窗口是 2026 年 10 月 12 日到 16 日，成绩在 2026 年 11 月 16 日发布。一月场报名从 2026 年 10 月 26 日开放到 12 月 21 日 18:00 截止，考试在 2027 年 1 月 4 日到 8 日，出分在 2027 年 2 月 8 日。中国内地、香港与澳门考区的日期被单独固定，十月场 TMUA 只在 15 日与 16 日，一月场只在 1 月 8 日，起因是 2024 年 10 月有人试图获取并出售试题。考试费按考点所在地计算，英国与爱尔兰 78 英镑，其他地区 133 英镑。助学金覆盖全额考试费，但必须先申请后报名，审核最长五个工作日；特殊安排审核最长十个工作日，两场各有截止日。
You may register for the TMUA only once within an admissions cycle, and the January sitting is not a resit. Cambridge and Oxford applicants normally have to sit in October, with exceptions limited to mature applicants to a Cambridge mature college with a January deadline and Oxford's Astrophoria Foundation Year. For 2027 entry, accounts opened on 1 June 2026, October booking ran from 20 July to 28 September at 6pm UK time, the test window was 12 to 16 October 2026, and results arrived on 16 November 2026. January booking closes on 21 December 2026. In mainland China, Hong Kong and Macau the dates are fixed to two days in October and one day in January, a measure introduced after the October 2024 attempts to obtain and sell test content.
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