Mathematical Miscellany #22

Underground Maths R9452

Oxford MAT 2007, Q1d

On Mathematics for Students earlier this week, see the annual update on University Admissions tests. Many resources are available to help students prepare for the tests. Such resources are excellent for students aiming for high grades, not just those taking tests.

For a new Competitions page – note the link on the right-hand side. Check, for example, the poster competition from the excellent maths careers site and from MEI, Ritangle.

MEI & Maths Careers

ParallelNot a conventional competition, but to challenge your able mathematicians, try Parallel from Simon Singh. All materials and resources are completely free and teachers will have access to all the student scores from the Parallelograms which are automatically marked.

Students do earn points depending on their percentage score on each Parallelogram, which in turn earns mathematical badges. There will be prizes for schools and students linked to the badges in future. Keep an eye on Parallel for the latest news.

Maths GenieReturning to Mathematics for Students, I have updated the GCSE Revision Resources page. My students do like Maths Genie, which is excellent for both GCSE and Advanced level.

In case you have not seen my recent post on Advanced Level – Worked Examples, do check these superb resources from Hodder and from Maths Genie.

Hodder examples

Hodder – Solutions for My Revision Notes (Pure)

Mathematical Miscellany #21

For A Level Teaching, Dr Jamie Frost has as always been very busy! These high-quality resources (slides/worksheets) provide complete coverage for the new specification.

Dr Frost KS5

Dr Frost Maths – A Level Resources

Whilst Dr Frost mentions Edexcel, the content for A Level Maths is the same for all examination boards; Further mathematics has some common Pure content.

Dr Frost has also provided very clear instructions for using the Casio FX99-1EX Classwiz calculator which you will find on his site. To really challenge your students Dr Frost has created such a useful resource with his STEP, MAT and AEA questions all aligned to new A Level chapters. This document is 156 pages of categorised questions (brief answers are given). Also available is a pdf file of just the STEP questions.

There is a page on Dr Frost’s resources as part of the A Level (16+) Resources series of pages.

From the older students, let us turn our attention to the younger students.

Corbett 5-a-day Primary

Corbett Maths – 5-a-day Primary

The excellent Corbett Maths Primary includes 5-a-day Primary illustrated above. The page of resources for younger students has been updated with this brilliant addition.


5x8 Card

SERP – 5×8 Card

Emma McCrea alerted us to The 5×8 Card generated by a SERP Team. You can read more information on the background to this resource here.

Not having come across the SERP website before I investigated further and found more delights. I particularly like AlgebraByExample which is a set of Algebra 1 assignments that incorporate worked examples and prompt students to analyze and explain. These look like good resources for discussing common misconceptions.

SERP - Algebra by Example

SERP – Algebra by Example

Note the tabs at the top of the home page, from the Materials tab you can access all the resources. Note the free downloads at the SERP download centre where you can download individual resources, or very simply, use the menu on the left to download the complete workbook; answers are also available as are introductory guides for teachers and students.

With UK A Level results having recently been published, the Results 2018 page has been updated and checked. Links to grade boundaries and results statistics are provided and note the useful resources from Ofqual. GCSE Links will be checked on Thursday 23rd August.

It is still Summer holiday time for some of us, so I’ll end with this lovely puzzle I had not come across before. See plus magazine – Finding the nine. (There is a link to a very clear solution in the video). The

Have you seen…? #3

… these GCSE lesson starters from Eduqas?

Starters - Eduqas
GCSE Starters – Eduqas

A starter, with a worked solution, is available for every day of the year. Starters are also available for Foundation Upper and Foundation Lower. (Select ‘Open resource’ under Files.)

Starter - Eduqas

Eduqas have a whole collection of Mathematics resources well worth exploring. I have used their lovely Rotations, Reflections and Enlargements demonstrations for many years! Looking at the collection, a very happy discovery, these Loci resources.


Loci Teaching Tool – NGfL Cymru

Appropriately for this time of year when so many students are revising for examinations, anyone for a Mathematics Take-Away? These attractively presented resources offer very useful revision indeed. Full solutions are provided.

Mathematics Take-Away - Eduqas
Mathematics Take-Away – Eduqas


Have you seen…? #2

…the famous equation poster contest from the excellent Math Careers site?

Do you have a favourite equation? Peter Alfeld of The University of Utah has a collection he thinks are important or intriguing. My personal favourite, Euler’s identity, is his first on the list.

                    eiπ = -1

For more on beautiful equations try the 17 equations that changed the world on the World Economic Forum where for each equation we have the following information:

  • What does it mean?
  • History
  • Importance
  • Modern use

Or from BBC Earth, have a look at “What is the most beautiful equation?

For UK school age students note the famous equation poster contest from the excellent Maths Careers site. This competition closes on Friday 8th June; winners in each age group will win an Android tablet. There will also be five ‘highly commended’ certificates awarded in each group.

I have added the competition details to Mathematics for Students.

Have you seen…? #1

A new style short post, simply for some quick updates…

Have you seen…?

Minimally Different Problems from Jess, (@FortyNineCubed on Twitter)

Quadratic Minimally Different Problems

Using the Quadratic Formula – Minimally Different Problems

Note the menu on the right-hand side to help you find exercises.
As Jess says, text exercises can become too varied too quickly, so perhaps try some minimally different problems to explore what happens with these small changes.

MEI M4 Archive

MEI M4 Magazine Archive

MEI has been busy, their M4 Magazine is a source of excellent resources as well as articles to read. Now you can search the archive for GCSE problems categorised by topic.

I enjoyed many excellent sessions at the recent BCME9 conference; I particularly enjoyed the Nrich session. Nrich has so many accessible problems, it’s not just all about high ability students; try these problems on Factors, Multiples and Primes for example.

For the new specification – A Level proof, I’ll certainly be using this Interactive Proof Sorter example which works on my phone as well as on my laptop.

Nrich - Proof

Nrich – IFF – Interactive Proof Sorter

From the brilliant Maths Emporium, some very useful GCSE examination advice for your students. This particular guide to life made me laugh!

Edexcel Guide to life

Edexcel Maths Emporium Guide to Life – GCSE Maths

Very entertaining – and very true!