Mathematical Miscellany #84


From Naikermaths, A Level ‘Best Guess’ Papers and Mark Schemes for Papers 1 and 2. It’s great to see that very clear disclaimer on the front page. These look like great practice papers.

To quote Naikermaths:

……..nobody can predict a paper. However, this paper is created based on high frequency of topics and trend from previous years. Some topics or similar skills from this paper may appear in Paper 2 and vice versa, or may not.


I have added this to my post A Level Maths and Further Maths 2023.

Dr Tom Bennison

For AQA Level 2 Further Maths, Dr Tom Bennison has now published a practice paper, see his post, Exams 2023 Resources.

I have added Tom’s paper to this AQA Level 2 Further Maths collection.

On June 1st, it’s an ideal day to recommend Wayne Chadburn’s great calendars – A little bit of maths each day. He writes these calendars to provide regular, varied practice; three versions of each monthly calendar are available, Higher, Foundation Plus, and Foundation; answers are provided.

Wayne Chadburn

Tick Tock Maths – IGCSE Calculus

From Tick Tock Maths, it’s great to see new IGCSE resources, particularly for topics not on GCSE. See the top menu – Calculus (IGCSE). This resource has been added to my IGCSE collection. This also includes the recent paper 2 practice questions from Addvance Maths.

For IGCSE – See

A reminder that MEI’s Calculator Crunch is later this month. The Calculator Crunch resources are great for Year 6 – Year 7 transition.

Calculator Crunch 2022

Exams Weeks 2 and 3


We must start by saying congratulations and Happy Birthday to MathsBot! Jonathan Hall has been providing us with this amazing site for 10 years, thank you so much, Jonathan!

In week 2 we have Maths AS Paper 2 Statistics and Mechanics and A Level Further Maths Paper 1, looking ahead to Week 3 after half term, we have Further Maths Paper 2, A Level Maths Paper 1, Core Maths Paper 1 and GCSE Maths Paper 2.

For many further resources see GCSE Revision 2023

Recent Practice Papers, warm-ups and Checklists given that paper 1 is complete:

From Christine Norledge on Third Space Learning blog: Edexcel Paper 1 analysis with recommended revision list for papers 2 and 3.

IFrom Adam Mercer, “Starting Strong” for Edexcel foundation pupils.

See Corbettmaths GCSE Maths Summer 2023, we now have Edexcel, AQA paper 2 and 3 preparation materials and OCR papers 2, 3, 5, and 6. The material includes interactive revision checklists, (select a topic for an explanation on that topic) and Foundation and Higher Preparation Papers.

The interactive lists link directly to the appropriate video, note the video number and then find that in the list of contents on the videos and worksheets page for practice questions.

As there are 3 papers, it is almost certain that topics from paper 1 may appear again, so definitely make sure you revise everything.

John Corbett

Calculator revision mats from Jo Morgan:

IFrom First Class Maths a practice paper for Edexcel Paper 2H is now available. I do like the disclaimer on the front page, we cannot know what content will be examined – the best strategy is to revise everything! The paper has been created “with a careful analysis of the most common paper 2/3 topics from previous years and also careful analysis of what topics have already appeared in paper 1.”

Note the timetable for the estimated dates for release of the practice papers and the Paper 2 key topics documents.

Mr White has used the Edexcel analysis from 1st Class Maths (Key Topics for Paper 2 based on Paper 1 Analysis and previous trends) to create this list of Maths Genie links for the top 20 topics in Edexcel. Note the tabs on the spreadsheet – we have a list for Higher and also for Foundation.

And using that analysis, Jenny Hill-Parker has created these resources for Edexcel Foundation and Higher:

Jenny Hill-Parker

Foundation practice questions and solutions

and here we have Jenny’s higher questions and solutions.


PixiMaths Practice Papers “to help you revise for papers 2 and 3 Edexcel Maths GCSE for summer 2023 based on topics that we have seen in paper 1.”

With that important reminder for students on the front page:

GCSE Maths Tutor – 2023 Paper 2 Checklist – choose Get the free checklist, then you can choose your exam board, Edexcel, AQA, OCR, IGCSE and WJEC.

iAQA and Edexcel Practice Papers from @mathsplanner, Foundation solutions are available, higher will follow.

Mr Neill – OCR

For OCR, see Mr Neill’s suggested practice questions for Foundations and Higher for Paper 2.

Remember that Mr Neill has this brilliant resource, all Edexcel, AQA and OCR GCSE maths questions by topic with answers from June 2017 to Nov 2020 (9-1), available all on pdf, PowerPoint or Promethean.

Mr Neill

Dave Taylor – OCR Revision Mat

Dave Taylor has used his list of topics to create a revision mat for OCR.


We also have papers and video solutions from @onmathsuk.

Very helpfully, onmaths has an online paper and video solutions for Foundation and Higher AQA, Edexcel, and OCR (downloads are available for subscribers)

From Matt Woodfine a collection of resources for AQA Paper 2

Also available are online 15-question online tests which assess different skills from the various checklists that have been shared that aim to tackle high-frequency topics or key skills. Tests are available for AQA, Edexcel, OCR, and WJEC; it is also possible to get a pdf copy of the test and answers. Goto this page, if you have the number for your chosen test choose click here from the statement “If you happen to know the MWB task number already (ideal if you have already set a homework to one group and would like to set it to a second group), please click here.” You will then be invited to enter the code for the test you want.

The link to the tests and a full list of available tests are available here.

S lp has created some Foundation “Lessons” focussed on the 4 and 5 star topics. from @1stclassmaths‘s predicted topics on MWB, @MattTheApp.

Pete Mattock has created two AQA practice calculator papers, based on his analysis of paper 1.

Casio have free webinars for GCSE Higher on 30th May and for A Level on 1st June, the webinars will have a focus on the correct use of the calculator, for A Level the calculator will be the CG50.

For IGCSE – See

Thinking about half term ahead, I do like this thoughtful blog post from Dani Quinn, that is a very important point about being careful what we send our students home with. Overwhelming them with too much work for which they can’t get feedback is not helpful for students studying alone.

For A Level, see A Level Maths & Further Maths 2023.

Mathematical Miscellany #83

Matt Woodfine has been busy with his brilliant Maths White Board site; you can now upload and annotate pdf files which is so useful. I find this works very well indeed; pens work well, and we can also use a protractor and compass.

…and thank you for the highlighters, Matt!

If you have not used Maths White Board much and want more information, Matt Woodfine advised trying his “2 min Tuesday” videos for ideas on which features you would like to implement first. Main Tutorial video.

We are so fortunate in Maths to have so many great resources – you can also use Jake Gordon’s Infinity Whiteboard to upload and annotate pdf files, or Math Whiteboard.

Legacy papers can still be such a useful source of questions, I have used many legacy papers from MEI, for example, M3 papers have many great questions on Dimensional Analysis for Further Maths, and there used to be a paper on Differential Equations. Select this link for all legacy units OCR MEI. There are many excellent Decision Maths questions available in the legacy papers. One topic I do miss teaching and is logic which I taught for many years on MEI’s D2 paper.

Does anyone recall Boris Johnson’s 2004 statement, made during the BBC’s light-hearted news quiz show Have I Got News for You, “I could not fail to disagree with you less.” ? I remember hearing it on the radio whilst driving to school and correctly predicting it would turn up in a D2 logic question on an MEI A Level Further Maths paper!

MEI Decision Maths 2 June 2008

From Cabri, their new Geometry app is available for Windows and OSX, a Primary version is also available. Check the Cabri Express Guide to get started.

I have been adding further resources to GCSE Revision 2023, the latest additions come from BBC Bitesize and from Dave Taylor:

On BBC Bitesize you will find GCSE Maths – exam practice, 5 quizzes of 10 questions each, with fully worked solutions.

Also from Bitesize, try these GCSE maths – quick-fire quizzes, each quiz has 10 quick-fire questions that should take approximately 5-10 minutes to complete. You can take the quiz again and answer a new set of questions. Answers are all explained.

BBC Bitesize quick-fire quizzes

From Dave Taylor, we have these very useful GCSE Higher Revision Booklets for OCR.

Mathematical Miscellany #82

The new Casio Calculators are appearing, here’s Jack Brown’s first look at the Casio FX-991CW.

And from an absolute favourite Calculator guide author, The Calculator Guide, Inequalities On A Number Line On A Casio fx-83GTCW | fx-85GTCW. I am looking forward to more from the Calculator Guide, keep an eye on these playlists on The Calculator Guide YouTube Channel.

The Calculator Guide.

You can see further details on the calculators from Casio here and the manuals can be found here, fx-570CW | fx-991CW User’s Guide, and fx-83GT CW I fx-85GT CW User’s Guide.

View a QuickStart video from Casio to help get you started with New ClassWiz.

I have added a page for easy reference to the Calculator series of pages.

Some great resources that have caught my eye recently:

The word problems are available on All About Maths. The booklets have been designed by shadowing past exam questions to help students gain ample practice in answering such questions. Two levels of difficulty are available: basic and multi-step. For students who need a little extra support, note the booklets with ‘starter advice’ which could be useful to provide scaffolding.

AQA’ s all about Maths is a resource site for teachers with numerous excellent resources. The resources are for teachers who offer, or are considering offering AQA maths qualifications; see How to get access to AQA All About Maths and register here.

From NCETM, have a look at these new resources on Algebraic Thinking.

These materials for exploring algebra with KS3 students are all freely available to download from the NCETM website. The 6 resources include PowerPoint slides and very helpful notes for teachers including the rationale behind each topic, useful language for teachers to model, how to address misconceptions, and how the topic might be explored in the context of KS2 to KS3 transition..

NCETM Balance Beam

The notes suggest that this Checkpoint activity could be used to introduce the Balance Beaam resource. A reminder that you can find all the Checkpoint activities on the NCETM webste.

NCETM Checkpoint Activity

From the brilliant Nathan Day Calculate Cleverly, Trigonometry, and Mathematical Quotations :

What a lovely task from Miss Konstantine on Quadratics.

Mathematical Miscellany #81

One of the Lesson Planning series of pages is on Misconceptions, this has been updated recently to include examples of helpful material from the examination boards which address common misconceptions, such resources can promote very useful class discussion as can examiners’ reports.

See for example AQA’s Exploring Common Misunderstandings in GCSE Maths.

Cambridge University – Common Errors in Mathematics

From Cambridge University, see Common Errors in Mathematics.

Edexcel’s A Level scheme of work which is freely available on their website includes for each section, Common misconceptions/examiner report quotes. The point made in the notes which follow is such an important comment, I have seen many errors that would have been avoided if only students had looked at a picture of their work.

In Mathematical Miscellany #77, I mentioned one of my go-to websites, Corbett Maths, I was interested to see that John Corbett has been adding some updates. I noted in that post 6 new Estimated Mean and 10 new Order of Operations questions, he has now updated Expanding two brackets and Substitution; video solutions are available for both.

From Tim Brzezinski, here’s a lovely collection of Open Middle themed problems where students build special quadrilaterals in the coordinate plane so vertices have no repeated coordinates.

On the subject of quadrilaterals, have a look at this new resource, a Measuring Shapes workbook from Curriculum for Wales.