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DrFrostMaths provides an online learning platform, teaching resources, videos and a bank of exam questions, all for free.

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Here are all the individual MAT, AEA and UKMT Senior Challenge questions separated and arranged by approximate topics that they cover.

Please use links above to respective wesbites for answers, markschemes and examiners notes.
Colmanweb homepage

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Maths Problem Solving Questions on Colmanweb

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Great maths enrichment material with individual MAT and AEA maths questions arranged by topic. Try single questions or sets arranged by topic.

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A magazine for the mathematically curious. Issue 17 now available: Penguins, prison and PDE patterns feature in our new issue. Plus all your favourite puzzles & columns.

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Videos about numbers and mathematics. Videos by Brady Haran since 2011. Our thanks to Jane Street. Thanks also to SLMath, the Simons Foundation, and our Patreon supporters.

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Are you thinking of applying to study Mathematics at university? We're running a weekly livestream talking about maths problems and discussing problem-solving strategies, with a focus on Oxford's Mathematics Admissions Test (MAT). The sessions are free and available for everyone, and are recorded so that you can watch them later even if you can't join us live. No registration needed.

The 2023 MAT livestream is live every Thursday at 17:00-19:00 (UK time) from June to October 2023.

A recent survey of first-year Oxford Maths students found that more than half of them had engaged with the Oxford MAT Livestream while applying!

Schedule

(subject to change without notice)

*Other important dates; 19 October 2023 is the date of MAT 2023, and 29 September 2023 is the registration deadline for the MAT. The UCAS deadline for applying to Oxford is 16 October 2023.

If you want even more MAT livestream content, you can find an archive of the MAT livestream from 2020 or 2021 or 2022 at the bottom of this page.

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Are you thinking of applying to study Mathematics at university? We're running a weekly livestream talking about maths problems and discussing problem-solving strategies, with a focus on Oxford's Mathematics Admissions Test (MAT). The sessions are free and available for everyone, and are recorded so that you can watch them later even if you can't join us live.

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AMSP webpage about university admissions tests, for students

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Increasing participation in Core Maths, AS/A level Mathematics and Further Mathematics

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This free online STEP Support Programme is offered by the University of Cambridge to help university applicants develop their advanced mathematical problem-solving skills and prepare for STEP mathematics exams.

What is STEP?

STEP is an additional mathematics examination, taken at the end of Year 13, which forms part of conditional offers to applicants for mathematics and some related degrees at Cambridge and some other universities.

STEP is designed to test candidates on questions that are similar in style to undergraduate mathematics. Although demanding, preparing for STEP gives you a chance to engage with interesting, challenging mathematics, to stretch yourself and to develop the mathematical reasoning, independence and confidence needed in an undergraduate mathematics degree.

STEP Support Programme - free online resources

The STEP Support programme is designed to help university applicants develop their advanced problem-solving skills and prepare for sitting STEP Mathematics examinations. The programme is developed by the Faculty of Mathematics and NRICH. It consists of online modules for individual additional study, along with hints and full solutions.
The resources are free and open to everyone.
The Foundation modules provide a structured introduction to solving STEP problems. The modules also introduce mathematical ideas beyond the A-level syllabus and include supportive self evaluation materials. They are designed to be studied weekly over about 6 months. If you are planning to take STEP 2 and 3 at the end of Year 13, we recommend you start studying the Foundation modules in Year 12. They are also useful for Year 13 students who want to study Mathematics at university but who are not planning to sit STEP papers.

The and modules assume that you have already worked through the foundation modules. We recommend that you start these in Year 13 (ideally you would start working on the STEP 2 modules soon after the beginning of Year 13, and the STEP 3 modules around January of Year 13).

If you have any questions about the assignments, or STEP in general, or feedback about our resources you can email us at step@maths.org, or contact us via twitter @stepsupportcam.

Please see here for more detailed advice on how to use the STEP Support Programme.

Additional supporting material

These resources complement the STEP Support Programme and are designed to help you develop your advanced problem solving skills and mathematical thinking.

STEP questions with solutions at Underground Mathematics

Advanced Problems in Mathematics book

The STEP Support Programme is developed by NRICH, part of the University of Cambridge's Millennium Mathematics Project - maths.org, on behalf of the Faculty of Mathematics. (c) University of Cambridge. Email us: step@maths.org.

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This free online STEP Support Programme is offered by the University of Cambridge to help university applicants develop their advanced mathematical problem-solving skills and prepare for STEP mathematics exams. STEP is an additional mathematics examination, taken at the end of Year 13, which forms part of conditional offers to applicants for mathematics and some related degrees at Cambridge and some other universities.

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Problem Solving Enthusiasts' Roadmap Autumn 24

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Problem Solving Enthusiasts' Roadmap Autumn 24

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Problem Solving Enthusiast's Roadmap Sept 24  (2)

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STEP papers worked solutions 1996 - -present

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STEP papers worked solutions 1996 - -present

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We are a charity committed to improving lives through advances in maths education