ESAT数学1 27题40分钟 七类考点 无计算器
ESAT 是英国工程与科学方向本科生绕不开的一场笔试，数学 1 则是所有考生都要考的模块。2027 入学申请的两场考期已经定在 2026 年 10 月与 2027 年 1 月，时长、题量与禁用计算器的规则都没有松动。数学 1 的难点并不在知识范围，而在于 40 分钟里要处理 27 道题，平均每道题只有 89 秒。下面这份说明把 UAT-UK 官方 specification 里的结构、考纲与评分口径拆成可以核对的细节，方便你在报名与备考之间做好取舍。
The ESAT is the admissions test that most engineering and science applicants to UK universities now sit, and Mathematics 1 is the one module every candidate takes. For 2027 entry the two sittings fall in October 2026 and January 2027, with the same timing and the same ban on calculators. Mathematics 1 is not hard because of what it covers; it is hard because 27 questions have to be answered in 40 minutes, which works out at about 89 seconds each. What follows is a checkable breakdown of the format, the content specification and the way marks are reported on the UAT-UK website.
UAT-UK 由剑桥与帝国理工在 2023 年合办
UAT-UK 是 University of Cambridge 与 Imperial College London 在 2023 年 12 月 1 日成立的合资机构，属非营利性质。它把原先分散的本科入学笔试收拢成三份：ESAT、TMUA 与 TARA，其中 ESAT 与 TMUA 在 2024 年 10 月首考，TARA 在 2025 年 10 月首考。考试由 Pearson VUE 承办，考点网络覆盖 180 多个国家与地区的 5500 多个考试中心。UAT-UK 官网公布的 2025-26 年度报告写明，两个考季的考试在 129 个国家开考。中国大陆、印度、新加坡与香港都在它的主要市场名单里，中国考区的日期限制也来自同一份安排。数学 1 是 ESAT 五个模块里唯一没有替代选项的那个。
UAT-UK was set up on 1 December 2023 as a joint venture between the University of Cambridge and Imperial College London, and it is not run for profit; it consolidated the older admissions tests into three papers, with the ESAT and the TMUA first sat in October 2024 and the TARA following in October 2025. Delivery is handled by Pearson VUE, whose network covers more than 5,500 test centres in over 180 countries and territories. The UAT-UK annual report for 2025-26 records tests taken in 129 countries, with China among the largest markets outside the UK; the same security policy explains the restricted dates for candidates in China, Hong Kong and Macau. Mathematics 1 is the one ESAT module with no substitute.
数学 1 是所有考生的必修模块
ESAT 一共五个模块：数学 1、数学 2、生物、化学与物理。绝大多数课程要求考生作答数学 1 加另外两门自选模块，也就是三份卷、连考 120 分钟。少数课程会把模块写死，比如工程方向常常指定数学 1、数学 2 与物理。官方页面明确写着模块选好之后不能修改，只能取消原报名再重新预约并重新付费。常见的错误是报名时凭感觉挑模块，等到十二月才发现课程页面的要求对不上。动手之前先到目标课程的官网页面把模块清单抄下来，再回到报名系统里勾选。
The ESAT has five modules: Mathematics 1, Mathematics 2, Biology, Chemistry and Physics; most courses ask for Mathematics 1 plus two further modules, which means three papers and 120 minutes of testing in one sitting, although a few courses name the modules for you, as engineering departments often do with Mathematics 1, Mathematics 2 and Physics. According to the UAT-UK website the modules cannot be swapped after booking; the only route is to cancel, re-book and pay again. A common mistake is choosing modules on instinct in July and discovering in December that the course page asked for something else. Copy the module list from the university's official course page before touching the booking system.
哪几所学校与专业要求 ESAT
UAT-UK 目前服务七所院校：帝国理工、剑桥、牛津、LSE、UCL、华威与杜伦，但三份笔试的适用范围并不相同。ESAT 主要被 Imperial、Cambridge、Oxford 与 UCL 使用，覆盖工程、物理、自然科学与兽医学等方向。同一所大学里不同专业的要求也有差别，有的专业考 ESAT，有的考 TMUA，还有的专业两份都不考。官方页面提醒，需要笔试却没有报名可能直接让申请失效。判断方法只有一条：进课程页面看 entry requirements，别用上一届学长的经验替代。
Seven institutions now use UAT-UK tests: Imperial College London, the University of Cambridge, the University of Oxford, LSE, UCL, the University of Warwick and Durham University; each test covers a different slice of their courses; the ESAT is the paper used mainly by Imperial, Cambridge, Oxford and UCL for engineering, physics, natural sciences and veterinary medicine. Requirements differ inside the same university, so two applicants to one institution may sit different tests, or none at all. The UAT-UK website warns that failing to register for a required test may invalidate an application, which is why the course page, not last year's advice, is the only reliable check.
27 道题 40 分钟意味着每题约 89 秒
每个模块 27 道单选题，限时 40 分钟，这是官方 specification 里最硬的一条。40 分钟换算成秒是 2400 秒，除以 27 题，每题留给你大约 89 秒。选择题的四个选项意味着你不必写出完整过程，但草稿册上的每一步都在吞时间。大部分学生会在这里丢分：会做的题花了三分钟，后面八道题只剩两分钟。练节奏的方法是用官方 practice test 计时做，先按每题 90 秒卡表，再逐渐把简单题的用时压到 40 秒以内，给压轴题留出余量。做题顺序也可以调，先扫一遍全卷、把一眼能出答案的题解决掉，再回头处理需要推导的题。
Each module holds 27 multiple-choice questions in 40 minutes, and that is the hardest number in the official specification; divide 2,400 seconds by 27 questions and each one gets roughly 89 seconds; multiple choice means no full working is required, yet every line on the erasable booklet still burns time. This is where most candidates lose marks: three minutes spent on a question they knew, then eight questions with two minutes left; timed practice tests are the fix, starting at 90 seconds per question and pushing the straightforward ones under 40 seconds to bank time for the harder end. Order matters too, so sweep the paper first and pick off the quick wins before returning to anything that needs real working.
每个模块单独计时剩余时间不结转
模块之间是分开计时的，官方 specification 写得很直白：提前做完某一个模块，剩下的时间不能带到下一个模块。三模块连考的考生因此要按 120 分钟来分配体力，中场没有额外休息。常见的错误是第一个模块省下十分钟，以为能给物理或化学用，结果那十分钟在交卷的一刻直接归零。稳定的做法是给每个模块留出最后两分钟回扫，把没答的题填满再交。数学 1 通常放在第一个模块，它的节奏会直接影响后面两门的手感，开局别用全场最快的速度冲。
Timing is per module, and the specification states plainly that finishing early does not carry time over to the next one; anyone sitting three papers is therefore managing 120 minutes of attention with no extra break in between, which is closer to a stamina problem than a knowledge problem. The classic error is banking ten minutes in the first module and assuming physics or chemistry can spend it; those minutes simply disappear at the end of the module; A safer habit is to reserve the last two minutes of every module for a clean-up pass, filling in anything left blank before the paper closes. Mathematics 1 usually comes first, so its pace sets the feel of the whole session and is not the place to sprint.
官方考纲把数学 1 分成 M1 到 M7 七类
数学 1 的知识范围在官方 content specification 里按七类编号列出，分别是 Units、Number、Ratio and proportion、Algebra、Geometry、Statistics 与 Probability。Units 考单位换算与复合单位，例如速度、密度与压强；Number 覆盖分数、百分数、标准形式、根式与误差区间；Ratio and proportion 要求把正比反比写成方程并读图。Algebra 是篇幅最大的一块，含展开因式、解线性与二次方程、不等式与函数图像；Geometry 涉及坐标几何、面积体积与三角函数；Statistics 与 Probability 处理平均数、分布与条件概率。对照编号检查自己哪一类薄弱，比笼统地说数学不好更有用。
The Mathematics 1 content is listed under seven numbered headings in the official specification: Units, Number, Ratio and proportion, Algebra, Geometry, Statistics and Probability; Units covers conversions and compound measures such as speed, density and pressure; Number runs through fractions, percentages, standard form, surds and error intervals; Ratio and proportion asks you to turn direct and inverse proportion into equations and read the matching graphs. Algebra is the largest block, from expanding brackets to linear and quadratic equations, inequalities and graphs of functions; Geometry brings in coordinate work, areas, volumes and trigonometry, while Statistics and Probability deal with averages, spread and conditional probability; checking yourself against those headings is more useful than a vague sense of being weak at maths.
数学 1 的知识边界不含微积分
官方口径是数学 1 的内容不出 AS 数学的范围，微积分不在其中。求导与积分出现在数学 2 的考纲里，数学 2 的条目在 specification 里用 MM 标记，数学 1 只到 M 标记。很多学生以为数学 1 会考新知识，其实题目把熟内容换到陌生情境里，考的是应用与准确度。官方还说所有模块都假设考生掌握数学 1 的内容，也就是说物理或化学卷里出现的代数与估算，同样是数学 1 的底子。复习顺序因此很清楚：先把数学 1 的七类过一遍，再进入自选模块。数学 2 与数学 1 的难度台阶也很明显，同一道题在数学 2 里会多绕一步。
Officially, Mathematics 1 stays inside AS-level maths and does not involve calculus; differentiation and integration sit in the Mathematics 2 specification, where the items are labelled MM rather than M. Many students assume the module tests something new; in practice it takes familiar content and places it in unfamiliar settings, so accuracy and application carry the marks. The specification adds that every module assumes knowledge of Mathematics 1, which means the algebra and estimation appearing in physics or chemistry questions are Mathematics 1 material as well. Revise the seven headings first and the optional modules second, because the step up to Mathematics 2 is a step in reasoning, not in syllabus.
禁用计算器与词典只发可擦写草稿册
ESAT 是机考，官方明确禁止使用计算器与词典，考场只提供可擦写的小册子作为草稿纸。这条规则把分数的常见等值、根式的化简与 π 的近似值都推到必须熟练的位置。官方 specification 里要求考生能用分数、根式与 π 的倍数做精确计算，例如把根号十二写成二倍根号三，把分母里的根式有理化。它还要求用近似值估算含 π 或根式的表达式，这在选择题里正好用来排除明显离谱的选项。常见的错误是算完就走，其实用估算复核一遍数量级最省时间。平时的训练方式很朴素：把计算器收起来做题，逼自己用笔算与估算两条腿走路。
The test is computer-based, calculators and dictionaries are not allowed, and the only working space is an erasable booklet handed out at the centre; that rule forces fluency in fraction and percentage equivalents, in simplifying surds and in handling multiples of pi; the specification expects exact work with fractions, surds and multiples of pi, such as writing root twelve as two root three, and rationalising a denominator. It also expects estimation of expressions containing pi or surds, which is precisely how multiple choice can be attacked by removing obviously wrong options. A common mistake is stopping as soon as an answer appears, when a quick estimate would have caught the slip. Practise with the calculator out of reach, using written work and estimation together.
答错不扣分所以 27 题都要作答
评分规则很简单：每个模块里每答对一题得 1 分，答错不扣分。官方页面的原话是最终分数基于答对的题数，错误答案不会让你丢分，所以值得把每一道题都填上。这条规则的实操含义是不要在最后两分钟空着题交卷，哪怕完全靠排除法猜一个选项。很多学生以为空着比猜错更保险，这在 ESAT 里恰好是反的，空白等于放弃一次得分机会。四选一的题目猜中概率是四分之一，再加上你能排除掉的一到两个错误选项，实际收益并不低。把猜测也做成有记录的动作：先划掉明显错的选项，再从剩下的选项里选一个。
Marking is simple: one mark for each correct answer in a module and nothing deducted for a wrong one; the UAT-UK website says final scores are based on the number of correct answers, that you do not lose marks for incorrect answers, and that it is therefore worth attempting every question. In practice that means never handing in a paper with blanks, even if the last two minutes are spent guessing after eliminating options. Many students think a blank is safer than a wrong answer, which is exactly backwards here, because a blank throws away a scoring chance. With four options, and one or two clearly impossible, the expected return on a guess is far from trivial; make it a routine, crossing out the impossible options before choosing.
每个模块的分数是 1 到 9 分保留一位小数
ESAT 没有总分，每个模块单独给分，分数落在 1 到 9 之间，保留一位小数。官方解释这样做是把不同版本与不同考季的答卷放到同一把尺子上，所以两个考季的分数可以直接比较。每个模块单独报告成绩，三门模块就是三个分数，没有合并出来的总分。考试不设及格线，官方页面写的是考生应该尽力做到最好，成绩通常与申请材料里的其他信息一起使用。分数尺度的含义在官方 Prepare 页面上有说明：中位数固定为 4.5，第 90 百分位固定为 7.0。这解释了为什么复习时的目标是稳定性，而不是追求某一道难题的正确答案。
There is no single ESAT score; each module is reported separately on a scale from 1 to 9 to one decimal place; the official explanation is that this places different test versions and sittings on one common scale, so results from October and January can be read side by side. Reports come per module, which means three numbers rather than one total, and there is no pass or fail score, with universities using the result alongside the rest of an application. The scale itself is described on the UAT-UK prepare page: the median is fixed at 4.5 and the 90th percentile at 7.0. That is why consistent accuracy, not one perfect answer on a hard question, is what moves the number.
2027 入学两场考期与中国考区日期
2027 入学的第一场考期是 2026 年 10 月 12 日至 16 日，第二场是 2027 年 1 月 4 日至 8 日，报名在 2026 年 7 月 20 日开放，10 月场的报名在 9 月 28 日 18 点截止。官方的中国考区安排更紧：10 月场里 ESAT 只能安排在 12 日或 13 日，TARA 在 14 日，TMUA 在 15 日至 16 日；1 月场里 ESAT 定在 6 日，TARA 在 7 日，TMUA 在 8 日。日期限制的原因是考试安全，官方写明不会对个人做例外处理。申请剑桥或牛津的考生必须在 10 月应考，只有剑桥一月截止的成熟学院与牛津的 Astrophoria 基础年是例外。一个申请周期只能考一次，1 月场不能用来刷分。
The first sitting for 2027 entry runs from 12 to 16 October 2026 and the second from 4 to 8 January 2027, with booking opened on 20 July 2026 and the October booking deadline on 28 September at 6pm UK time; candidates in China, Hong Kong and Macau work to a tighter calendar: in October the ESAT is offered only on 12 or 13 October, the TARA on 14 October and the TMUA on 15 or 16 October; in January the days are 6, 7 and 8 respectively. UAT-UK says the narrowing is a security measure and that no individual exceptions can be made; Cambridge and Oxford applicants must sit in October, the only exceptions being mature applicants to a Cambridge college with a January deadline or the Oxford Astrophoria Foundation Year. One attempt per admissions cycle is permitted, so January is not a retake.
报名费用英国与爱尔兰 78 英镑其他地区 133 英镑
2027 入学考季的费用是 78 英镑与 133 英镑两档：在英国与爱尔兰应考交 78 英镑，在其他地区应考交 133 英镑。官方强调费用由考点的所在地决定，跟你的国籍与居住地无关，所以在中国大陆的考点报名就按 133 英镑这一档。到考点越晚，越可能只剩远处或时间不合意的时段，官方建议尽早预约。英国的考生可以申请助学金，获批后考试免费，但必须在报名前申请，先付费再申请不给退款。特殊安排也要提前申请，官方给出的审核时间是十个工作日，临时在考场提出无法调整。
For the 2027 entry cycle the fee is either 78 or 133 pounds: 78 pounds when you sit in the UK or the Republic of Ireland and 133 pounds anywhere else; the UAT-UK website stresses that the fee depends on the location of the test centre rather than your nationality or country of residence, so a centre in mainland China falls into the higher band. Booking late narrows your choice of centre and time, which is why UAT-UK advises booking as early as possible; bursaries are available to UK candidates and cover the full test fee, but the application has to be approved before you book, since paying first is not reimbursed afterwards. Access arrangements follow the same logic, with up to ten working days needed for approval and no adjustments possible on the day.
官方免费资料与出分时间
官方提供的备考材料是免费的，UAT-UK 的页面上写着考生不需要官方与 Pearson 之外的任何东西。可用的东西包括每份考试的 specification、带解析的 specimen test、以及还原考场界面的 practice test，practice 建议在计时条件下完成。数学 1 还有一份专门的官方指南，2026 年 6 月发布的 ESAT Guide Mathematics 1 按 M1 到 M7 逐条讲要求并给例子。官方同时声明不认可任何付费辅导机构，也无法核实它们提供的信息是否准确。成绩大约在考后四周开放，2026 年 10 月场的出分日定在 11 月 16 日，成绩会自动送给你所申请的院校。
Preparation material from UAT-UK is free, and the website states that candidates need nothing beyond what UAT-UK and Pearson provide; the offering includes the specification for each test, specimen tests with explained answers and practice tests that reproduce the test player, and UAT-UK recommends sitting the practice tests under timed conditions. Mathematics 1 also has its own official guide, the ESAT Guide Mathematics 1 published in June 2026, which walks through the M1 to M7 items with examples; UAT-UK states that it is not connected to commercial coaching services and cannot verify their information. Results open about four weeks after the sitting, with 16 November 2026 confirmed for the October window, and scores are sent automatically to the universities you applied to.
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