Mathematical Miscellany #24


Can your students solve a vexing vexillology problem? The AMSP Problem Solving Competition closes 1st February and is for any students in Years 7 to 11. Full details are available on the AMSP competition page.

This and other competitions can all be found on the Competitions page of this blog.

Nrich Webinar
On Wednesday, December 12th, Nrich have a pilot webinar for students and teachers. For the event, Nrich will introduce a problem and invite students to work on it for between 5 and 10 minutes. During this time, teachers can comment online to ask questions on behalf of the class, or share any ideas that have arisen in their classroom. There will also be an opportunity for classes to upload photos of their work.

This sounds excellent, certainly something to investigate. Read more here.

A reminder of some of the excellent resources available from The White Rose Maths Hub Team…
The team’s GCSE Problem Solving Questions of the Day – Compilation from The White Rose Maths Hub Team, @WRMathsSec is available on TES Resources.

White Rose Maths Hub problems

The booklet contains over 50 problem-solving questions suitable for KS3 and GCSE classes, answers are also provided. Also from the team, their mastery schemes of learning include Year 7 material (UK age 11-12); an assessment is also available.

White Rose Maths Assessment

White Rose Maths – End of Term Year 7 Higher Paper

See also, Secondary Schemes of Learning and Assessments for End of Block or End of Term. Many high-quality resources can be found on TES Resources. this search, White Rose Maths Year 7 Resources returns resources for age 11-14.

So, it’s nearly Christmas, more updates have been made to the Advent Calendar collection.
We should celebrate the women in STEM subjects, try these Advent Calendar posts.
MGA text
Did you know that Maria Gaetana Agnesi was the first woman to write a Maths textbook?
(Thank you @MEIMaths  for sharing

Mathsbot Simultneous Grids

Mathsbot – Simultaneous Grids

Staying with Christmas, Jonathan Hall has given his Simultaneous Grids a festive flavour!


@MEIMaths shared The Christmas Tree Bauble Calculator🎄

Dr Matthew Lettington of Cardiff University has helped Admiral create an online tool to calculate how many baubles and fairy lights are needed for the perfect Christmas tree. Answer four questions to find out how many baubles and the length of fairy lights you need!


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.