Picasso’s Line Puzzles

(MathPickle, 2018)

This beautiful and addictive puzzle is perfect for students learning multiplication and division. After experimenting with a small canvas in front of the whole class release students in pairs to try to find better solutions. Try having a competition between classes. Who can get the lowest score for an 8×8 canvas? 9×9? 10×10?

You can also find the error in one of my solutions. Thanks to Kathy Reger from Subiaco Primary School for finding it. I’d be embarrassed except that its ironically good to make mistakes as a teacher. It keeps students sharp and we educators humble 😉

Here are the puzzle sheets.

Here is a pdf of the full presentation above.

Much thanks to my first Patreon supporters, Gavan Brown and Zenon Berg for supporting my creative work.

Standards for Mathematical Practice

MathPickle puzzle and game designs engage a wide spectrum of student abilities while targeting the following Standards for Mathematical Practice:

MP1 Toughen up!

This is problem solving where our students develop grit and resiliency in the face of nasty, thorny problems. It is the most sought after skill for our students.

MP3 Work together!

This is collaborative problem solving in which students discuss their strategies to solve a problem and identify missteps in a failed solution. MathPickle recommends pairing up students for all its puzzles.

MP6 Be precise!

This is where our students learn to communicate using precise terminology. MathPickle encourages students not only to use the precise terms of others, but to invent and rigorously define their own terms.

MP7 Be observant!

One of the things that the human brain does very well is identify pattern. We sometimes do this too well and identify patterns that don't really exist.


Please use MathPickle in your classrooms. If you have improvements to make, please contact us. We'll give you credit 😉

Gordon Hamilton

(MMath, PhD)


Lora Saarnio