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The latest activity to be updated on this site is called "Squareas" (Square areas - some are shown and others can be deduced to find the unknown).

So far this activity has been accessed 225 times and 6 people have earned a Transum Trophy for completing it.

Squareas

Every time an architect designs a building, an engineer plans a bridge, or a games developer builds a virtual world, they are constantly working with area. Knowing how areas relate to each other, and being able to deduce unknown values from the ones you already have, is a genuinely useful skill that comes up again and again in the real world.

In Squareas you are doing something that mathematicians call logical deduction. You are not just applying a formula you have been told, you are actually figuring things out from the information available. That is exactly the kind of thinking that engineers, scientists, programmers and designers use every single day.

You are also practising working with squared numbers and square roots without it feeling like a drill. Every time you look at a square labelled 7² and think "that side must be 7", you are strengthening your understanding of powers and roots, which are all over your GCSE course and beyond.

There is also something satisfying about this kind of puzzle. The moment when you spot a connection, deduce a missing value and watch the pieces fall into place, that feeling is exactly what mathematics is supposed to feel like. It is not about memorising rules; it is about seeing patterns and using logic to reach a conclusion you could not see at the start.

Give it a proper go. You might surprise yourself.


Featured Activity

Newsletter

Newsletter

The Transum Newsletter for May 2026 has just been published. Click on the image above to read about the latest developments on this site and try to solve the puzzle of the month. You can read the newsletter online or listen to it by downloading the podcast.

Recent News:

Scientists just captured a mysterious quantum “dance” inside superconductors

In a breakthrough experiment, scientists directly imaged how particles pair up in a system that mimics superconductors. Instead of behaving independently, the pairs moved in a synchronized, dance-like pattern—something never predicted before. This suggests a major gap in the classic theory of superconductivity. more...

This donut-shaped discovery just shattered a 150-year math rule

A 150-year-old rule in geometry has been proven wrong. Mathematicians found two different doughnut-shaped surfaces that look identical when measured locally but are actually different overall. For decades, researchers suspected this might be possible but couldn’t prove it—until now. The breakthrough reshapes how mathematicians understand the relationship between local measurements and global form. more...

This simple change stops robot swarms from getting stuck

In crowded environments, more robots don’t always mean faster results—in fact, too many can bring everything to a standstill. Harvard researchers discovered a surprising fix: adding a bit of randomness to how robots move can actually prevent gridlock and boost efficiency. By allowing robots to “wiggle” slightly instead of marching in straight lines, they can slip past each other and keep tasks flowing smoothly. more...

New light trap design supercharges atom-thin semiconductors

Scientists have found a clever way to supercharge ultra-thin semiconductors by reshaping the space beneath them rather than altering the material itself. By placing a single-atom-thick layer of tungsten disulfide over tiny air cavities carved into a crystal, they created miniature “light traps” that dramatically boost brightness and optical effects—up to 20 times stronger emission and 25 times stronger nonlinear signals. These hollow structures, called Mie voids, concentrate light exactly where the material sits, overcoming a major limitation of atomically thin devices. more...

Scientists built the hardest AI test ever and the results are surprising

As AI systems began acing traditional tests, researchers realized those benchmarks were no longer tough enough. In response, nearly 1,000 experts created Humanity’s Last Exam, a massive 2,500-question challenge covering highly specialized topics across many fields. The exam was engineered so that any question solvable by current AI models was removed. Early results show even the most advanced systems still struggle — revealing a surprisingly large gap between AI performance and true expert-level knowledge. more...

A tiny twist creates giant magnetic skyrmions in 2D crystals

Twisting atomically thin magnetic layers does more than reshape their electronics—it can create giant, topological magnetic textures. In chromium triiodide, researchers observed skyrmion-like patterns stretching far beyond the expected moiré scale, reaching hundreds of nanometers. Even more surprising, their size doesn’t simply follow the twist pattern but peaks at a specific angle. This twist-controlled magnetism could pave the way for low-power spintronic devices built from geometry alone. more...

Brain inspired machines are better at math than expected

Neuromorphic computers modeled after the human brain can now solve the complex equations behind physics simulations — something once thought possible only with energy-hungry supercomputers. The breakthrough could lead to powerful, low-energy supercomputers while revealing new secrets about how our brains process information. more...

Latest Newsletters:

Have you read the latest Transum Newsletter or listened to the podcast?

May 2026

🛡️ Knights of the Circular Table
🛡️ Hidden Quadratics
🛡️ Snake Sort
🛡️ Transum on Netflix
🛡️ Don's Expressions
🛡️ Pyramidenstumpf

May's Newsletter :: Podcasts

News headlines board


April 2026

✏️ Quazmere Quadrant puzzle
✏️ Angles in Digits
✏️ Changing Times
✏️ Term-to-Term
✏️ Using AI well
✏️ Clicking Bubbles

April's Newsletter :: Podcasts


March 2026

🦀 A Penguin and a Crab
🦀 Speed Skills
🦀 Crossing Bridges
🦀 Murmuration
🦀 Graph Transformations
🦀 Largest Product

March's Newsletter :: Podcasts


February 2026

🟰 Badges for the Cods
🟰 Wrong but Close
🟰 PIN Possibilities
🟰 Decimal Sequences
🟰 Distance-Time Graphs
🟰 Shading Inequalities

February's Newsletter :: Podcasts


January 2026

⌛ New Year and Time
⌛ Twelfths Puzzle
⌛ New Resources
⌛ Rotational Symmetry
⌛ Magic Square and Binary
⌛ 20:20 Vision

January's Newsletter :: Podcasts


December 2025

🎄 ChristMaths Resources
🎄 Elf Packing Puzzle
🎄 Modulo Maths
🎄 Treasure Hunt
🎄 Snow Angles
🎄 Festive Joke

December's Newsletter :: Podcasts


November 2025

💥 Rock, Paper, Scissors
💥 Digimoji
💥 Flash Cards
💥 Satisfaction
💥 Metric/Imperial
💥 Domain and Range

November's Newsletter :: Podcasts


October 2025

⚽ Saint Bees Puzzle
⚽ Mystery Numbers
⚽ Cube Root Trick
⚽ Halloween
⚽ Poetry Day
⚽ Pythagoras or Not

October's Newsletter :: Podcasts


September 2025

⛳ Cost of Cows Puzzle
⛳ Transformation Golf
⛳ Arguable Area
⛳ Primes and Squares
⛳ Treasure Hunt
⛳ Back to School

September's Newsletter :: Podcasts


August 2025

🍦 Puzzle of the Month
🍦 Huge Numbers
🍦 Lobster Pots
🍦 TablesMaster Phone Edition
🍦 New Advanced Starters
🍦 Holiday Maths

August's Newsletter :: Podcasts


July 2025

🎂 Amazing Puzzle
🎂 New Maths Games
🎂 Semaphore
🎂 Area Mazes
🎂 Roman Dodecahedrons
🎂 School's Out

July's Newsletter :: Podcasts


June 2025

🧩 Jigsaw Puzzle
🧩 New Resources
🧩 Example, Non Example
🧩 Fraction Wall
🧩 Advanced Starter
🧩 Environment Day

June's Newsletter :: Podcasts


Previous Newsletters

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