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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?


Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Making Boxes

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

Sweets in a Box

Age 7 to 11
Challenge Level

Gabe and Zoran from Mrs. Hovish's Math Class from the Athena Academy in the United States

At first we were confused so we started by placing beads in random places. Then we started moving the "candies" around so that they would follow the rules. Then we started seeing a pattern! We noticed that the same 2 colors were always in a row together so we just finished by following that. I ended up with 6 rows and 6 columns. Gabe had 4 rows and 9 columns. We used a multiplication chart and saw that 6X6 = 36 and 9X4= 36 too! Here are their pictures.

Tamara, Ellie and Izzy, Lily and Isabelle from St. Andrew's, Enfield sent in these three solutions.


Shriya from the  International School in Frankfurt Germany sent in these three excellent different designs.


Lily and Isabelle from  St.Michaels School sent in this solution:

Well these were really good solutions, well done everyone.