Summer Maths 2023

From ATM, see the Summer Solvers series, For Twitter users these are tagged #summersolvers. Each day in August, at 10 am, ATM are posting a problem from their archives for a range of age groups, we have problems to work on for KS2 to KS5 (UK ages 6 – 18).

For August 4th we have Number Spirals, from 30 Years On, a collection of classic mathematical ideas and activities. Note that you can look inside the book and the pdf includes 2 problems, Fractional Triangle and Number Spirals.

ATM – 30 years on

…and on the subject of GCSE coursework, there are some classics in this old Edexcel document.

For many investigations, see this series of pages. Anyone for Diffy?

Nrich are again publishing a challenge a day throughout the UK summer break. Every weekday from 10 July to 1 September, a new challenge will appear on this Primary page (for under 11s) and this Secondary page (for over 11s). Once students have tried the day’s challenge, they will be able to compare their approach to previously published students’ solutions.

Nrich – What Numbers Can We Make Now?

Also, from Nrich, remember there are many interactive games and puzzles.

Transum Mathematics

Perhaps try some curve stitching on Transum. Also, on Transum, you will find School Holiday Maths Activities; this collection has many activities to encourage students to continue their learning during the holidays. These are categorised, and we have a lovely mixture of learning, puzzles, and games to make students think. There is a great deal of choice here. See also the full list of all fun maths activities.

Try these brilliant GeoGebra puzzles from Daniel Mentrard, also his 64 geometric puzzles.

Puzzles – Daniel Mentrard

Perhaps try Tangram on Mathigon.
How many of the different shapes can you make?

Nrich also have a Tangram activity for students age 7 – 11 or for 5-14 years olds try Tangram Pictures.

Nrich Tangram Browser

I do enjoy puzzles, and the summer break offers time for more! Try the series of pages, Puzzles & Games available from the top menu.


To highlight just a few resources from this large collection, Algebra includes the lovely SolveMe mobiles puzzles.

Or, for a rather different approach, try Shuttle Mission Workshop from Math Playground, here students build and solve their own visual math puzzles. Play Shuttle Mission Pro first to practise.

Nrich features on many pages, including reading; Nrich has many excellent articles on the use of games in the classroom; hence a Reading page.

From the excellent Number collection, a game from mathFROG allows students to practice order of operations against the clock.

On Geometry of course follow Catriona Agg who regularly posts new puzzles and has made her collection of screenshots (Google Drive link) freely available.

Catriona Agg

Given three squares and a rectangle. What’s the shaded area?

In response to this puzzle, you can see various solutions, including an Autograph file created by Rob Smith. Rob has set this up to change both squares and you can move also move a point on the smaller square.

On Probability and Statistics try…

Guess the Correlation
Guess the Correlation – Omar Wagih

The collection includes from Cambridge PhD student Omar Wagih, ‘Guess the Correlation‘, a rather addictive game with a purpose – Omar Wagih is collecting the data on the guesses collected and using it to analyse how we perceive correlations in scatter plots. Select About to read the rules and further details.

The Underground Maths page includes several resources on puzzles and games.

Underground Maths – Equation Sudoku

From Underground Maths try Equation Sudoku for example.

We can write down equations:

f+g+a =19

m+k+c =16

and so on.

As always on Underground Maths, we have suggestions, a complete solution, and printable/supporting materials.

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