Mathematics Competitions

October 2019

List of Mathematics Competitions – Wikipedia



Maths Careers Maths of Space Poster Competition 2019.
Closing date January 10th 2020.

MEI – Ritangle.
Registration for MEI’s Ritangle opened on October 7th. Ritangle is a competition for teams of students of A level Mathematics, the International Baccalaureate and Scottish Highers requiring no knowledge of mathematics beyond A level Mathematics.

There have been some great questions to challenge your older students in these Ritangle competitions. note the links to the questions and answers to the 2016-2018 competitions.

MEI Ritangle 2018 q1

MEI Ritangle – 2018, Question 1


Puzzle of the Week is a free international puzzle competition for schools. The new competition opened on 23rd September 2019. Though aimed at 11-16 year olds, anyone from a registered school can enter. The competition is very simple to run. Puzzles are published weekly on Mondays. School and student performances are recorded and leaderboards are published on the results page.

The Puzzle Library is a brilliant collection; all the previous puzzles are available with detailed answers including extensions and background information. The library is helpfully indexed by topic.
Puzzle of the Week

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.

Nrich publish problems regularly for which students can submit solutions; problems remain live for about 6 weeks. Nrich are inviting students to send solutions and will publish a selection of them, along with the name of each student and their school.

For more information, have a look at this Nrich article: I’ve Submitted a Solution – What Next?Nrich

The Math Contest 2.0.
Math Contest 2.0
The Math Contest, which was started in 1996 by David Rock and Doug Brumbaugh, is now sponsored by Casio Education and powered by The University of  Mississippi’s School of Education.

UK Maths Challenges


MEI Calculator Crunch

Calculator Crunch ran from 10th to 20th June, 2019. MEIMaths posted daily questions designed to develop important calculator skills for KS2–3 transition. The questions were designed to help Year 6s to be calculator-ready for secondary school and/or give extra practice to KS3 students. Note the extras – download lesson plans for Year 6 and 7. MEI are aiming to bring the Calculator Crunch back for 2020

Maths Careers – Competitions Archives

Maths Week England 2020 will run from 9th–14th November 2020
Maths Week England – 11th-16th November 2019
Maths Week England aims to “Raise the profile of Mathematics throughout England, you can see the full aims here. Note the various competitions running including a Secondary and Post 16 quiz featuring questions for every age group from Y7 to Y13 and also the resources available. MangaHigh, Sumdog and TimeTables Rockstars are running competitions using their software for all schools whether or not they subscribe and we also have MEI’s Ritangle competition and Desmos Art Competition. All the details are on the Maths Week England competition page.

The Royal Statistical Society’s Statistic of the Year 2018 has now closed. Over 200 nominations in total, an RSS record were received. The judging panel, chaired by RSS’s president, Professor Sir David Spiegelhalter, of eminent journalists, economists, statisticians and pollsters have announced the results. All the results, both International and UK are given and cover a variety of issues from key environmental issues to the number of Jaffa Cakes in the Christmas tube!

The 2017 winners are similarly fascinating.

WorldMathsDay 2018World Maths Day is over! 7th March 2018 was the big day.

Follow World Education Games on Twitter and/or Facebook.

We can still practise our tables with these resources. There are many games available to help you practice your tables:

From Transum Software comes Flash tables which will present you with random questions from your chosen tables and then show the answer at the speed you select. Also from Transum, see this great Tables Collection which has several activities to try.


Try this Tables Test from which you can play at different levels.

BBC Skillswise though written for adults has some useful activities for students.

For a real challenge try a Find the Factors puzzle from Iva Sallay.

Games & Other Mathematical Activities

What to do for those last lessons?

Some of these activities would be great for any lessons, not just at the end of term. The complete collection can always be found on the End of term activities page. For readers familar with this collection all links have been checked and there there have been several updates.

You might want something other than a video, though perhaps consider a Numberphile video or I could make an exception for the counting chimps, a video I was introduced to by Alex Bellos at the SSAT conference which he included in his session and shows the astonishing recall of a chimp – compare the human!

Try some UKMT team challenges, their crossnumber puzzles make a great end of term activity. The junior materials can be found here and senior here.


Relays from Chris Smith. These are excellent, note there is a complete set; I used his Valentine relay very successfully this year! Featured in Mathematical Miscellany#2.

JM Quiz & Matchstick PuzzlesFrom JustMaths a great end of year pub quiz. I do like the way this ends with a round on Matchstick puzzles, this will keep our students happily busy! Note the very useful recommendation for Matchstick Puzzles from Dawie van Heerden.

Get your students thinking with some resources from Underground Mathematics. Try Equation Sodukuor perhaps LCM Sudoku.
Equation Sudoku
Another possibility from Underground Maths, try the Division Game.

UGM Division Game

Let your students get their phones out to play Factris, a new App published in July 2017 developed by Richard Lissaman, of MEI.

Bingo always works really well.


A team game? Try Workers of Zen.

Workers of Zen

(ATM publish books of team games).

I must mention A Little Problem for the Holidays!

Some Mathematical games and puzzles perhaps? There are plenty to choose from.

The Set Game is a daily puzzle from The New York TimesHow many sets can you find? Click ‘How to play’ for the rules.

Or try some pencil and paper games such as Sproutsdescribed very clearly here by the Iowa State Math Department.

Countdown - Nrich
Always popular with students is the game of  Countdown. Exellent programs for both games can be downloaded free from Chris Farmer’s CSF software site. For a new challenge why not try Coundown with Fractions from Nrich or another variation – see this Countdown collection.

Learn the syntax for WolframAlpha, perhaps a chance for students to explore WolframAlpha, using the various slideshows, note the questions on the worksheetNote the last slideshow on a little fun with WolframAlpha!

Explore the Desmos Graphing Calculator (and note the further reference to Desmos below, use Desmos to create some art work!)

For a main activity a Tarsia puzzle provides an engaging activity. I intend to use one to see how many of the formulae needed for the part of the course which my Year 10 students (age 14-15) will be studying next year are already known.

Darth Vader curve

We could of course have some fun with WolframAlpha. Did you know you can plot Darth-Vader?  There are in fact a whole family of Star Wars curves! Or maybe you prefer Dr Who?!

Have you seen Wolfram fun facts? (You can view these on Twitter whether or not you have a Twitter account). Why not try modifying these queries? Note the different cookies you can try in the cookie query shown below. You could perhaps invent similar problems! How many pizzas would it take to fill the moon? OrJupiter?

fun facts

Art Elements

If those WolframAlpha equations are a bit much for younger students they could try something simpler using the Desmos graphing calculator; look at Alec Schultz’s PacMan for example, you could just show your students how to restrict the domain for straight lines, maybe show them the equation of a circle and see what they can produce! See this post on Graph Art on Mathematics for Students.


To generate some more pretty curves why not try Spirograph?! Students could experiment with these online versions to see the various curves that can be generated.

These logic puzzles from John Pratt should keep students happily and usefully occupied. (I have added these to the Puzzles page on Mathematics Games.) Or we could try another Kakuro Puzzlestudents were fascinated by these when introduced to the puzzles by a member of the class. At the end of the year we often ask students to do a presentation to their peers which works well.

Try (or write a new) Sporkle Quiz.

Sporkle: Find the missing primes in two minutes

Still thinking about games, from Nrich these Strategy games are for Primary teachers; but could also be useful for lower secondary.

For more ideas check Jo Morgan’s Resouceaholic.

We could finish with a song or two!

Wishing teachers everywhere a happy holiday (only WolframAlpha would give you the Scrabble score as well as the definition!)

Mathematics Games

Algebra Meltdown1How time flies – it is almost half term and I realised that I had not set my new classes up on Manga High or Sumdog which I have now rectified. Looking at the games again on Manga High in particular I was struck by the excellent variety of Mathematics skills involved. So many so called Mathematics games are simply Arithmetic but on Manga High students can use games to practise Algebra and Geometry as well as Arithmetic Skills. The Basic Package (free) allows access to all the games and teachers can set the excellent Prodigi Quizzes for a week at a time; teachers will find clear Getting Started Guides here. Scroll down this page to see some samples of the quizzes and for a very comprehensive guide to the content check the information here selecting Algebra for example shows the extensive resources available.

With my Year 9 (UK age 13-14) class we have been studying simultaneous equations and for their homework as well as the text exercises I have given them some alternatives online to support their work, as a school we use MyMaths (subscription site), I have also linked to David Smith’s excellent site (free) and I have just added three Prodigi quizzes to the list! It will be interesting to see which they like – I feel a survey coming on!

Returning to the games, hover over any game to check the skills tested; for example try Algebra Meltdown or The Wrecks Factor for algebraic skills.
Algebra MeltdownAlgebra 2

I have written on Sumdog before, that post has various useful links. You will see from the Sumdog blog that you can now choose skills appropriate for your school; having initially chosen the UK National Curriculum – I changed my mind and went back to the Classic set – skills for 5-14 year olds, worldwide.

Games again…

Nrich - Estimating Angles

Nrich – Estimating Angles

I have I have been very happily distracted playing mathematical games today! It all started when I wanted to find a good resource for estimating angles which Year 7 will be studying this week. My favourite is this from Nrich. I like the incentive of scoring more points for greater accuracy and the fact that like all Nrich games there is an option to display full screen which is excellent for the interactive whiteboard.

This in turn reminded me that I wanted to do a little housekeeping on my Maths Games blog – which is basically just a collection of favourites – many from Nrich.

Find the Factors - Iva Sallay

Find the Factors – Iva Sallay

This is still a work in progress but I have removed outdated links and reorganised pages. I have added a Geometry page for example to remind me about the angle estimation interactive from Nrich. 

I discovered Iva Sallay’s rather nice Find the Factors puzzles not long ago so added a post on that and also included it on the Puzzles Page. Note the other favourites there – I do like the Set Game which is still published every day in The New York Times.

C1 Revision Resource - TES

C1 Revision Resource – TES

A games format always makes a change for revision. Have a look at this rather nice resource on TES for C1 revision (C1 is the first module on the UK A Level qualification – age 16-18). This uses Mark E Damon’s template which could easily be adapted for other topics.

There are some games templates available from the links below for those of you who may wish to create your own resources.

PowerPoint Games – from

Game Templates  (note that these are free for non-commercial use – see About).