For younger students, this revision resource of problems was created for Year 6 (age 10-11) to use on World Book Day.
We could bring books and Mathematics together with some Statistics. UK readers who remember Statistics coursework may remember AQA’s coursework task ‘Read All About It’ where students considered various newspapers and magazines for readability. Similarly, we have Edexcel’s Newspaper Comparisons. A search for these old coursework tasks returned this Edexel document which has numerous investigations with mark schemes; Newspaper Comparisons is on page 171. The document is a very useful source of problems and data handling activities.
For a list of recommended books for young people interested in Mathematics, see this page which includes this list from Nrich which is grouped into three different categories: History of Mathematics, Recreational and Thinking Mathematically.
We could consider the reading age of a text; consider these readability formulae; if you paste some text to this site, Readability Formulasyou can easily check statistics for your chosen text and generate a reading age according to the various tests.
WolframAlpha can be used for Words and Linguistics, note the various examples given, including number namesand document length. We could do some calculations, estimate what happens if we have 40 pages or 400 pages? We could practise using Standard form for the number of characters.
Note in particular Colin Foster’s KS3 Instant Maths Ideas (3 books) – a wealth of ideas you can try in the classroom and now freely available online. Colin Fosteris a Reader in Mathematics Education in the Mathematics Education Centre at Loughborough University.
I tried the text of this post for readability – college level!
Thinking about practising skills for GCSE, why not create some custom starters?
On Jonathan Hall’s Test Maker on MathsBot we could create a test to test many of these skills. Choose the skills you want from the menu, the number of questions, and the initial and final difficulty of the questions on a scale of 1 to 10, also note the Paired Solutions option to show one example with an answer then one to try. An Answer Key is provided for any test you create.
We could also use the many brilliant GCSE resources from MathsBot.
Alternatively, using Transum’s Refreshing Revision, we could create a custom resource to check some of these skills. The resource allows teachers to select the number of questions and the topics to include; scroll down the page and choose the topics you want from the Concept Selection, it is also possible to drag the panels so your questions are displayed in the desired order. A very nice feature is the fact that you can save a particular selection of topics as the URL for your selection will be generated. Every time you refresh the page you get different revision questions.
Transum has an extensive library of self-checking exercises, so we could easily provide examples on inequalities for example. On Transum, there are several ways to search for resources, for example, try:
See on Maths White Board: Revision Board – generate a starter based on the Advance Information
On Interactive Maths Generators from Dan Rodriguez-Clark (@InteractMaths), design your own sets of questions on more than 50 maths topics for your students to practice a variety of skills. There are many customisation options, generally as well as for individual topics. Full instructions are on Dan’s site.
For AQA A Level Dr Tom Bennison is adding revision resources to this page. As you can see from Tom’s post he is planning to provide a set of “practice” papers for AQA A-Level Maths and AQA A-Level Further Maths, a paper for OCR FSMQ and then some “Exam warmup” grids for use before the exams.
The first paper you will see has 12 questions, and a mark scheme is also provided.
On ExamQ from Mr Watts you can quickly search for Edexcel Maths GCSE and A-Level exam questions. You can choose from GCSE Higher, AS or A level, you can also select by exam series, paper, area and topic. Selecting Summer 2022 Advanced Information displays a menu of questions by paper based on the Advance Information.
The interface is very clear indeed, easily display the questions or mark schemes.
From Pearson/Edexcel, comes a very valuable resource, under Summer 2022, Support, A Level Mathematics Topic Tests, is a new set of topic tests (no login required) for Pure Mathematics (10 tests), Mechanics (5 tests) and Statistics (5 tests) are provided. These are very comprehensive, not only do we have the questions and mark schemes but further notes. Looking at an example, the first test of the Pure Mathematics tests is on Proof, 5 varied questions cover the knowledge, skills and understanding relevant to Pearson’s qualification. The tests are designed to be used with the advance information for the subject as well as general marking guidance for the qualification.
Also available in a similar format from Pearson Edexcel are A Level Further Mathematics Topic Tests. Tests are available in both Word and pdf format for Papers 1 and 2 (9 tests), and Papers 3A (7 tests), 3B (8 tests), 3C (5 tests), and 3D )5 tests.
The first test in the Paper 1 and 2 pack for example is on Proof, 7 questions provide comprehensive coverage of Proof.
The Exams Office publishes regular updates, available to all. This is a really useful resource and includes all their updates including from JCQ, DfE and all the examination boards. As well as AQA, OCR and Pearson you will find for example City and Guilds and International Examinations.
Whilst we have this advance information, it should perhaps be regarded with some caution; we cannot assume too much about what will not be on the examination. It is still important to teach the complete specification, many students will be going on to study A level, but the many revision resources appearing based on the advance information for Mathematics will provide a useful focus for revision. I will keep this post updated as new resources are created.
See GCSE 2022 on Corbett Maths, John Corbett has released lots of high-quality support material for Edexcel, AQA, OCR, and CCEA for both Foundation and Higher. You will find papers, revision checklists (hyperlinked to videos), also YouTube playlists, content is still being added. The papers are in the style of John Corbett’s “A Bit of Everything” papers – a resource I have always liked.
On Maths Genie, you will find videos, exam questions and solutions for AQA, Edexcel and OCR.
On Dr Frost Maths, we have the skills involved in Edexcel’s Foundation GCSE papers 2022, as per the official guidance, thank you to @VinculumL of New College Durham. You can find Edexcel papers including the higher papers and IGCSE on the Edexcel courses page on Dr Frost Maths; scroll to the last courses on the page to see the IGCSE courses.
AQA courses including Foundation, Higher and Level 2 Further Maths are here, thanks to @StreetlyAcademy.
On ExamQ from Mr Watts you can quickly search for Edexcel Maths GCSE Higher and A-Level exam questions. You can select by exam series, paper, area and topic. Selecting Summer 2022 Advanced Information displays a menu of questions by paper based on the Advance Information. The interface is very clear indeed, easily display the questions or mark schemes.
From White Rose Maths (scroll down), Foundation and Higher papers and mark schemes based on the AQA and Edexcel advance information are available. Also available are pre-exam workshops for Edexcel, AQA and OCR; the workshops are slideshows with answers included – ideal for final revision.
From Wayne Chadburn, I do like his little bit of Maths each day calendars, see these for March, April and May. Do check all three calendars as these have been written to focus on each of the three papers and the topic lists announced by Edexcel. Whilst written with Edexcel in mind these are great revision resources whichever board you use. Full solutions are provided.
From Sparx Maths, 2022 GCSE and IGCSE Advance Information – Sparx Topics and Key Questions. This is a brilliant resource, a whole collection of carefully selected questions. Great to see questions for IGCSE.
On BBC Bitesize, you will find links to resources for AQA, Edexcel, Eduqas and OCR. Scroll down to M for the Mathematics links.
Returning to Corbett Maths, AHS Maths has linkedCorbett videos (and for those who have them – Hegarty Maths and the revision guide from Just Maths) to the Edexcel advanced information for GCSE Foundation and Higher.
Look for the Corbett video number here. Remember that with Corbett Maths, not only do we have the videos but worked examples by topic too.
From Just Maths, “Take 5”, a maximum of 5 questions aligned with the advance information from the Edexcel Foundation papers in ascending difficulty, primarily from older papers. You will find the Just Maths Take 5 post pinned to the top of the Just Maths blog. Note that the post will be updated including the addition of the Higher tier.
The excellentMaths Careerssite is managed and maintained by the Institute of Mathematics and its Applications. If your students wonder where Mathematics is used they will find plenty of answers here. See for example Who employs mathematicians?
Also from Maths Careers, see this post with instructions on how to make this wonderful pair of linked Möbius hearts.
If you wish to get creative and try this I advise watching the Numberphile video carefully; following the instructions worked as you can see from my creation here! I can verify that unless you follow the instruction to make sure the twist in each strip is in a different direction you will end up with a mess! Quite an interesting mess but certainly not two hearts!….
Note the Desmos graphs on my strips. I created a file in Word valentine-mobius-hearts (or pdf: valentine-mobius-hearts) with Desmos images in a table. Adding dotted borders to the table gives guidelines for cutting. I began each cut by using the end of a paperclip to pierce the paper.
To create my strips I printed the document and then printed again on the reverse. I then cut out and trimmed the strips so there was no white space at the end – the picture here has been made using strips 10 cells long.