For some excellent GCSE (UK age 15-16) revision resources explore this collection. Thank you so much to the teachers who create these resources and make them freely available.
Jonathan Hall has a bank of GCSE questions. on his site; note that you can show solutions for these questions. Also on this site – you can create a practice paper with your chosen topics and the number of questions you want. If you would like a random collection you could also try his Revision Grid.
Mathsbot Revision Grid – Jonathan Hall
From Steve Blades, have a look at his very helpful 9-1 GCSE Help Book. Note that you can download the book (52 pages) free.
For more resources see Steve Blades’ site www.m4ths.com;on the GCSE page Steve has a section (near the end of the page) of eBooks, and one of those is on GCSE Higher wordy questions. See also Steve’s Think like a problem solver and mathematician book.
Mr Carter Maths – for lots of practice questions. Select Differentiated Topics to see the selection available. If you want to practise this new topic – Iteration; this is the direct link.
On Tanner Maths you will find Flashcards for the new specification – choose A4 or A5.
Many of these resources are also very useful. Check with your teacher the detailed content for your specification.
For many challenging questions to really get you thinking, try the brilliant Underground Mathematics site. You can follow them on Facebook or Twitter too.
You can search by Station, suppose you want to practise your Algebra – try the Thinking About Algebra Station for example where you will find everything from Equation Sudoku to some challenging Surd manipulations.
On the subject of surds – try Scary Sum!
If you create a (free) account you can save and categorise your favourite resources.
There are many Underground Mathematics Resource Types. Try the Review Questions for example, which in the words of the Underground Maths Team:
These are questions designed to test students’ understanding of one or more topics and to exercise their problem-solving skills. In many cases they can also be used as a classroom resource to help teach concepts and methods. They are mostly drawn from past examination questions and have been chosen as ones that are interesting in nature and require non-routine thinking. The hints and solutions are designed to explain the reasoning and highlight connections as well as giving the answer. In many cases, alternative methods or solutions are presented.
Note the various question types available; these include very challenging questions for students age 16+.
Select image for question & solution
The Oxford MAT collection includes an extensive selection of Multiple Choice Questions.
O/AO-level questions are included. These questions provide excellent challenge for sudents aspiring to the top grades for examinations taken at age 15-16 and beyond..
Can we fully factorise x4+4y4?
Starts with a Show that….
We could get very sophisticated and look at those quadratic factors too; useful for those studying the Level 2 Further Mathematics Qualification.
Can we simplify these algebraic fractions?
Review algebraic fractions
Can we simplify these simultaneous equations of degree 1 and 2?
Solve simultaneous equations. We will need to factorise a quadratic in this problem with a coefficient which is not 1 for the square term. My students and I are fans of the Box Method where a factorisation cannot easily be done by inspection.
Note the updated Calculators and Tools series of pages including a page for Calculator Manuals.
have been checked amd updated.
A new page on Collections has been added which will be updated …
The ultimate Calculator has to be WolframAlpha which as you can see has a page of its own with several slideshows to help you learn how to use it.
For drawing and exploring graphs, use the outstanding Desmos Graphing Calculator.
With the new academic year approaching are you about to start advanced level studies? Or perhaps you are heading off to university?
This post, Transition Time has been updated with new resources and has many useful questions and activities to help you prepare for your next stage of study.
Note in particular the addition of Underground Mathematics and Jonny Griffiths’ Carom Maths.
28th June is a Perfect Day to enjoy some Mathematics!
Perfect because 28 and 6 are both perfect numbers. You can easily check for properties of any number with Tanya Khovanova’s Number Gossip where we learn that 28 does not only have the rare property of being perfect, it is also composite, even, happy, odious, practical, triangular and Ulam! You can browse all the properties here.
28 is also happy! Happy Numbers – a favourite investigation, Dr Who knows about happy primes!
It’s also National Tau Day! Pi is wrong…..
This video provides a short version of the Tau Manifesto (14 minutes)
Have a look at this Desmos page (or select the image).
Before you take a peek in the Love folder, can you identify the functions used for the various letters?
This came about because of a Twitter conversation. , Admissions Tutor & Senior Lecturer at Loughborough University shared this image. I replied that we should do some dancing too!
And Desmos thanked us both for spreading the love!
For more on Desmos – see this series of pages.
UK Maths Challenges
You can practice for the UK Maths Challenges with these past papers. Questions and full solutions are provided.
You could generate a random quiz, using Mathster’s UKMT Mathematics Challenge Online Quiz. Choose Junior, Intermediate or Senior and one of three difficulty levels; you can also choose the number of questions, a time limit and the order the questions are presented in – random or in order of difficulty.
Nrich have a series of short problems based on the UK Junior and Intermediate Challenges.
Nrich publish new problems every month. Why not try and get a solution published on their website? There is a menu specifically for students. You can sign up for an Nrich student newsletter if you want to be notified of new developments on the site.
If you have not tried Nrich problems before you may find their recommended starter problems good to try. You can search for problems by topic if you wish.
If you have not tried Nrich problems before you may find their recommended starter problems good to try. You can search for problems by topic if you wish
Signing up to Brilliant (including an easy option for sign in for Facebook users) will allow you to join an international community and try numerous.questions at various levels.