Cambridge Primary Mathematics Past Papers

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Micol Cohn

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Aug 3, 2024, 5:54:14 PM8/3/24

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As part of the Master of Mathematics / Master of Advanced Study, candidates may choose to offer an essay. This will count for 3 units, or about a sixth of the course. There is no prescribed length for an essay, but the general opinion seems to be that 5,000 to 8,000 words is a natural length. The essay does not have to be original in content.

Each year members of the Faculty propose suitable topics; links to those for the most recent submissions are provided below (subsequent years are expected to be broadly similar, although not identical). Students are also free to propose their own topic (subject to confirmation by the Faculty Board of Mathematics). Note that if an essay is written on a particular topic in a given year then that exact topic cannot be set in the next year.

The primary requirement on the presentation of Part III essays is that they are legible. Hand-written essays are acceptable (if legible), but you may prefer to use the text formatting software which is available on the University PWF network.

The Faculty Board believes that the essay is a key component of Part III, and does not necessarily expect the mark distribution for essays to be the same as that for written examinations. Indeed, in recent years for many students the essay mark has been amongst their highest marks across all examination papers, both because of the typical amount of effort they have devoted to the essay and the different skill set being tested (compared to a time-limited written examination). The Faculty Board wishes that the hard work and talent thus exhibited should be properly rewarded.

In light of these beliefs, as well as the comments of both internal and external Examiners over the years, the Faculty Board considers the following descriptors of the broad grade ranges for an essay to be appropriate. The Board trusts that these guidelines prove useful in guiding the judgement of the inevitably large number of Assessors marking essays, and thereby strengthen the mechanisms by which all essays are assessed uniformly. They are intended to be neither prescriptive nor comprehensive, but rather general guidance consistent with long-standing practice within the Faculty.

An essay of α-grade standard would be consistent with the quality expected of an introductory chapter of a PhD thesis from a leading mathematics department. A more elegant presentation and synthesis than that presented in the underlying papers, perhaps in the form of a shorter or more efficient proof of some mathematical result would be one possible characteristic of an essay of α-grade standard. Furthermore, it would be expected that an essay containing publishable results would be of α+ standard, but, for the avoidance of doubt, publishable results are not necessary for an essay to be of α+ standard. A mark in the α+ range should be justified by an explicit additional statement from the Assessor highlighting precisely which aspects of the essay are of particularly distinguished quality.

For the avoidance of doubt, a key aspect of the essay is that the important mathematical content is presented clearly in (at least close to) the suggested length. An excessively long essay is likely to be of (at best) pass standard.

SATs papers are national curriculum tests used by schools to assess children's academic progress. SATs tests are taken in both primary school and secondary school, at the end of Year 2, Year 6 and Year 9. SATs are a blend of exams and teacher assessments.

Past SATs papers are real SATs tests that were published and used in previous years. These past papers have been used for many years in schools to help prepare pupils for their upcoming SATs.

Use these SATs papers at home for private study and mark them using the mark schemes (answers). Then, check the scaled scores (or level thresholds) and see whether your child has reached the expected standard.

At the end of Year 6, children take Key Stage 2 SATs papers (KS2 SATs) in English Reading, Maths, Grammar, Punctuation and Spelling (GaPS). Children may also take a Year 6 SATs paper in Science and a teacher assessment in Writing.

You can download all past SATs papers from our website. Whether you're a parent or a teacher you can use our website to download old SATs papers for free and help prepare children for their real SATs exams.

Alternatively, if you want to do an online SATs paper, try one of our Online SATs Tests!Using SATs Papers at HomeWhile these SATs papers are frequently used at school and with private tutors, we encourage parents to use them at home too.

Download the SATs papers that are appropriate for your pupil's age. You need to download the English Reading, Maths and Grammar, Punctuation and Spelling papers along with their answers. For some papers, you will also need to download the guidance notes.

Ensure you download SATs papers from 2016 onwards as those that came before used the previous specification national curriculum (pre-2014 "new national curriculum"). Hence there may be questions that your children don't understand.

You may also want to download the separate Science SATs papers. Science is normally tested as an informal teacher assessment. However, every two years a random selection of schools take a written Science exam to help monitor standards.

When pupils attempt to take a SATs paper, it's important that they sit it for the correct exam time so check this first as each paper is different. Use a timer to ensure pupils sit the assessment for the correct amount of time.

Your child will need a pen though we recommend a pencil and rubber for easier corrections. The Maths SATs papers also require children to have a ruler, a protractor and a small, hand-sized mirror.

SATs can be stressful for all involved. The best way to help tackle any potential anxieties is for children to feel familiar and comfortable with the challenges they face. We want children to feel confident!

SATs past papers are the fastest way to help prepare children for their real SATs tests. By using past papers, parents can check their children's progress before they take their real SATs papers.

KS2 SATs in Year 6 are especially challenging tests and represent the final exam of children's primary education. Their SATs results go on to form government school league tables so they're a big deal. Download tests from 2016 onwards to ensure your child receives the right questions using the new national curriculum.

You'll find ample SATs English papers with plenty of comprehension questions to test children's comprehension skills on our website. We also host all past writing tests for creative writing practice at home.

KS1 SATs will be your child's first 'proper' written tests. It's a good idea to help them practice at home so they know what to expect. Download papers from 2016 onwards (including the 2016 sample papers) for the most relevant SATs questions.

All past papers are provided in PDF format to easily print each each test. Audio downloads are available to stream online or download for later use in MP3 format. Every file name is also in an easy to read format to help you stay organised.

'SAT exam', 'SAT practice test' or 'SAT sample papers' all relate to the 'S.A.Ts' - American multiple-choice, pencil-and-paper tests administered by the College Board to measure high school student's academic readiness for college.

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