GCSE数学物理公式表 综合科学 2028年延续
2026 年的 GCSE 数学、物理与综合科学考场上,考生依然会拿到公式表与方程表。这个安排不是临时决定,而是从 2022 年起一路延续下来的做法。2024 年 10 月,Ofqual 完成第一轮咨询,把安排定到 2027 年;2026 年 3 月又完成第二轮咨询,把同一套支持材料推到 2028 年以及现行考纲的剩余寿命。下面按时间线把官方口径讲清楚,也把考生最容易误解的地方拆开讲。
Students sitting GCSE mathematics, physics and combined science in England still receive formulae and equations sheets in the exam room, and the arrangement has now been extended well beyond the recovery years. Two consultations, one in October 2024 and another in March 2026, both ended with Ofqual confirming the same support materials. This article follows the official timeline, sets out exactly what exam boards must provide, and explains what changes once the current specifications come to an end.
2026 年考场上发的是哪套表格
2026 年夏季的 GCSE 数学、物理与综合科学考试,考生仍然会在考场上拿到公式表与方程表。这一安排来自英国教育部在 2024 年确认的政策,覆盖 2025、2026、2027 三年的考试。考试局在 2025 年 12 月就已经把表格公布出来,老师和学生都可以提前熟悉。考场上发放的是清洁版本,与试卷一并提供,考生不需要自己从题干里抄写。Ofqual《2026 年学校与学院指南》写明,2026 年使用的表格与 2025 年完全相同。很多学生以为表格每年都要重做,其实内容已经稳定了好几年。数学在当年 11 月的补考同样适用这套表格,不必另行确认。
The arrangements for 2026 were settled in 2024, when the Department for Education confirmed that students would not need to recall every formula and equation. Exam boards published the 2026 sheets in December 2025 so that schools could use them in teaching, and the copies handed out in the exam room come printed with the question paper. Ofqual's guide for schools and colleges states that the sheets used in 2026 are identical to those used in 2025, which means the November 2026 mathematics resit follows exactly the same rules.
2027 年的表格最迟什么时候公布
2027 年考试的公式表与方程表,最迟要在 2026 年 9 月 1 日公布。这条时间点写在 Ofqual 的规则里,考试局不能拖到临近考试才发布。OCR 在官网的科目更新页写明,2027 年的表格会在 2026 年 9 月 1 日或之前发布。提前一年公布的用意很直接,让老师在整个学年里把表格带进课堂。很多学生以为表格是考试当天才第一次见到,实际上它早就公开可查。旧年份的表格也可以继续使用,因为 Ofqual 要求各年份、各考试局之间保持一致。这意味着练习时可以放心用往年的版本,不必苦等最新一版。
For the 2027 series the sheets must be published no later than 1 September 2026, and OCR has confirmed on its subject update page that the 2027 versions will appear on or before that date. The one-year lead time exists so that teachers can work with the real sheet throughout the academic year rather than in the final weeks of revision. Because Ofqual requires consistency across years and between exam boards, students can also practise with sheets published for earlier series without learning a layout that will later change.
2024 年 10 月的咨询把安排定到 2027 年
2024 年 10 月 3 日,Ofqual 启动第一轮咨询,到 10 月 17 日结束。这轮咨询收到 15,796 份回复,在评估类咨询里算规模很大的一次。结果相当集中,94% 的回复支持继续提供数学公式表,95% 支持物理与综合科学的方程表。Ofqual 随后修改规则,要求考试局在 2025、2026、2027 三年提供这些支持材料。表格内容沿用 2024 年的版本,各考试局没有各自改动。这一轮解决的是短期安排,并没有回答 2028 年之后怎么办。它把三年的口径固定下来,也让考试局有时间准备印刷与分发。
The first consultation ran from 3 to 17 October 2024 and drew 15,796 responses, which is a large sample for an assessment consultation. Ofqual reported that 94% of respondents supported a formulae sheet for GCSE mathematics and 95% supported equations sheets for physics and combined science, and it then amended its rules for the 2025, 2026 and 2027 series. That round settled the short term only, leaving the question of what should happen from 2028 onwards entirely open.
2026 年 3 月的第二轮咨询把安排延到 2028 年以后
2026 年 3 月 2 日至 3 月 23 日,Ofqual 又开了一轮咨询,问的是 2028 年起是否继续提供支持材料。这一轮收到 2,182 份回复,数量比 2024 年少,但仍属有效样本。2026 年 2 月 26 日,英国教育部先通知 Ofqual,说现行考纲的科目内容要求会按既有方向修改。Ofqual 因此提议把公式表与方程表延续到现行 GCSE 考纲的剩余寿命,包括之后的补考机会。咨询文件写明,这套安排预计覆盖到 2030 或 2031 年的考试,以及紧随其后的最后一次补考系列。和 2024 年那次不同,这轮只管长期安排,不涉及 2025 至 2027 年的既有做法。两轮咨询之间隔了一年多,中间的背景是课程与评估评审的推进。
A second consultation ran from 2 to 23 March 2026 and asked whether the same support materials should continue from 2028 onwards. It received 2,182 responses, fewer than in 2024 but still a workable sample for a national assessment question. Ofqual proposed carrying the sheets through to the end of the current GCSE specifications, including any resit opportunities, and the consultation document indicates the arrangement is expected to cover exams up to and including 2030 or 2031.
咨询结果里九成以上支持继续提供
2026 年这轮咨询里,91.7% 的回复支持数学公式表继续提供,明确反对的只有 2.4%。物理与综合科学的方程表支持率是 93%,反对声音更小。Ofqual 在决定文件里用了压倒性支持这个说法。有回复担心表格会增加学校的行政负担,也有人担心老师要额外花时间让学生熟悉表格。Ofqual 的回应是,这类顾虑可以靠跨年份、跨考试局的一致性来缓解。最终 Ofqual 认定没有新问题需要推翻原提议。它同时说明,平等影响评估与监管影响评估里也没有出现必须重新考虑的理由。
In the 2026 round, 91.7% of respondents supported a formulae sheet for GCSE mathematics, while only 2.4% disagreed, and 93% supported an equations sheet for physics and combined science. Ofqual described the level of support as overwhelming and concluded that nothing raised in the consultation made it necessary to change the proposals. Concerns about administrative burden and teacher time were acknowledged, but Ofqual judged that consistency between series and exam boards would cushion those effects.
修改后的规则提出三条硬性要求
Ofqual 修改后的监管条件对考试局提出三条明确要求。第一条是把表格在考前一年的 9 月 1 日前公布,例如 2028 年考试用的表格要在 2027 年 9 月 1 日前发布。第二条是随试卷提供清洁版本,不能只在网上挂着让学校自己打印。第三条是不许出只能靠照抄表格信息作答的题目,考的是会用而不是会找。这三条会写进 Ofqual 的条件,属于强制要求而非建议。考试局还要保证每一年用于考试的表格公开可查,学生和老师都能拿到。把三条放在一起看,方向是让支持材料变得可预期,而不是临时救急。
The updated conditions impose three hard requirements on exam boards. Each year's sheets must be published by 1 September of the preceding year, so the sheets for 2028 exams must be available by 1 September 2027. Exam boards must also supply clean copies with the exam papers, and they must not set questions that can be answered solely by transferring information from the sheets. Taken together, the rules make the support materials predictable rather than something schools have to chase at short notice.
表格内容为什么必须保持不变
咨询里有人建议做改动,比如给基础层与高阶层各出一张不同的表,或者干脆把公式印在题目旁边。Ofqual 没有采纳,理由是需要维持连续性与公平。它的口径是,表格内容与呈现方式要保持跨年份、跨考试局一致。这样安排的好处很实在,无论学生在哪一年考试、由哪家考试局评分,拿到的支持材料都一样。Ofqual 也允许考试局考虑纯排版层面的调整,但要求各份考纲之间保持同步。教师最担心的正是表格变来变去,学生刚熟悉一版又要重新适应。旧年份的表格因此可以放心拿来练习,不用担心版本对不上。
Some respondents suggested changing the sheets, for example producing separate versions for foundation and higher papers or printing equations next to the questions. Ofqual rejected those ideas because continuity and fairness matter more, and it now requires the content and presentation to stay consistent across years and between exam boards. Presentation-only adjustments may be considered where they apply consistently to all specifications, which is why older sheets remain safe material for practice.
表格里放哪些公式:会用但不要求背
支持材料里列出的,是学生需要会使用、但不要求背下来的公式与方程。这个判断来自英国教育部,它负责确定 GCSE 的科目内容要求。也就是说,考纲原本要求记忆的那批公式,现在改成考场提供。考生要做的是看懂公式里的每个符号,知道什么条件下能用,算得出正确结果。Ofqual 强调表格是为了反映修改后的科目内容期望,而不是降低难度。很多学生以为拿到表格就不用理解公式,这个误解在阅卷时最容易暴露。真正拉开差距的,还是在没有提示的地方能不能自己判断用哪条公式。
The sheets list the formulae and equations that students are expected to use and apply but not required to memorise, a judgement made by the Department for Education as the owner of GCSE subject content. Ofqual is explicit that the support materials reflect revised subject content expectations rather than an easier standard of assessment. The practical consequence is that students still have to know every symbol, know when a formula applies, and produce a correct result, so a sheet in the exam room is not a substitute for understanding.
数学公式表与物理方程表的形式差别
数学的公式表与物理的方程表在形式上有区别,这一点直接影响考场上的使用。数学的公式表随每份试卷一起发放,基础层与高阶层各有一张,高阶层的表包含更多公式。物理与综合科学使用修订后的数据表或方程表,以插页形式附在试卷里,页面上列出考纲中的全部物理方程。OCR 官网写明,它的数学 J560 在六月与十一月的考试中都提供公式表。OCR 的 Level 3 FSMQ 附加数学也额外提供一张公式表。这些细节决定了考生在考场上翻到哪里找公式,也决定了平时练习该按哪种版式来。
The mathematics formulae sheet and the physics equations sheet differ in form, and that difference matters in the exam room. For mathematics, a formulae sheet accompanies each question paper, with separate foundation and higher tier versions and additional formulae on the higher sheet. Physics and combined science use a revised data or equations sheet issued as an insert with the paper, listing all the physics equations from the specification, and OCR confirms that its Additional Mathematics qualification also receives an extra sheet.
学校与教师的负担顾虑
咨询里最集中的意见不是要不要给表格,而是学校要为此付出多少时间。有回复提到,老师需要用课时让学生熟悉表格的版式与符号位置,这本身就是一笔成本。也有回复担心行政上的负担,比如印刷、分发与保存。Ofqual 认为这类顾虑可以通过一致性来缓解,因为表格不变,老师不必每年重讲一遍。它同时在监管影响评估里说明,自 2022 年以来考试局已经熟悉这套流程,额外成本有限。考生感受到的差别,其实主要在于平时练习有没有用真表格。很多学生第一次拿到表才发现,找不到自己想用的那条公式。
The most common concern raised was not whether to provide the sheets but how much teaching time schools would need to familiarise students with them. Respondents also mentioned printing, distribution and storage as administrative costs, and Ofqual accepted those points while arguing that unchanged sheets reduce the burden over time. Its regulatory impact assessment adds that exam boards have produced these materials since 2022, so the additional cost is limited, while students notice most the difference between practising with the real sheet and practising without it.
有特殊教育需要的学生如何获得便利
有回复特别提到有特殊教育需要与残障的学生,担心工作记忆与认知负荷。有人建议调整字体或版式,让表格更容易读;也有人建议把表格提前更久发给考生。Ofqual 的回应是,考试局仍可按合理调整的需要修改评估材料。也就是说,表格本身不变,但个别考生可以获得适合自己的版本。出题时是否把某个方程直接写进题干,决定权在考试局。Ofqual 要求考试局提供合适的评估材料,同时也承认这类决定属于考试局的自主范围。对有需要的考生来说,提前和学校确认申请流程比临场争取更可靠。
Some respondents focused on students with special educational needs and disabilities, raising worries about working memory and cognitive overload, and suggesting changes to fonts, layout or earlier release dates. Ofqual replied that exam boards may still modify assessment materials as part of reasonable adjustments, so the sheet stays the same while an individual candidate may receive an adapted version. Whether an equation is printed inside a question stem remains a decision for the exam board.
2029 与 2030 年的新考纲会带来什么变化
2025 年 11 月,课程与评估评审发布最终报告,建议政府评估是否应要求学生记忆并回忆这些科目的每一条公式与方程。英国教育部在回应里确认,正在借修订科目内容的机会研究这件事。按官方说法,这批改革后的 GCSE 首批教学预计在 2029 与 2030 年开始。现行考纲的支持材料安排则覆盖到 2030 或 2031 年的考试,以及其后的最后一次补考系列。真正的长期答案要等教育部确定新的科目内容要求才会公布。考生现在不必按未来考纲做准备,先把现行考纲要考的内容学扎实。表格继续提供并不等于公式可以略过,把它用顺手仍然要靠平时反复练习。
The Curriculum and Assessment Review published its final report in November 2025 and recommended that government evaluate whether students should be required to memorise and recall each formula and equation as well as apply them. The Department for Education confirmed it is considering this while developing revised subject content, with new qualifications intended to be first taught in 2029 and 2030. Until that content is confirmed, the current arrangements run to the end of the existing specifications, so the immediate priority for students is still fluency in using the sheets.
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