Join dots with acute angles to try and create as many polygons as possible. What if we had to place the dots on a spiral? So many possibilities!
Using three similar shapes, surround an area that forms a triangle. Then using three more the same, form a quadrilateral, then a pentagon etc. How far can you go?
Based on NRICH’s Totality, the challenge is to avoid totaling £1 as a game and collaboratively in constructing chains and webs.
Place digits around one or two pentagons that share a side so that each number rounds to a different integer.
This shares similarities with Triangular Threes but focuses on constructing multiples instead. I used squares as that worked well with my Year 4 class when I came up with the idea but you could easily start with hexagons if you…
With two number lines showing halves and quarters, children try and add and subtract fractions to reach as many values as possible across them both.
Each day of December, tinsel is placed between the baubles showing 1-9 in such a way that each set of numbers can form an equation that equals the day of the month.
Drawing ‘L-shaped’ lines in a square, how many shapes can be created without having the same area more than twice at any one time?
Start with a three-digit addition. What digits are produced in the answer? Swap one of the digits for a new one to create a new addition. How many swaps are necessary to create all ten digits in the sums?
Arrange the digits 0-9 in three rings going clockwise. Using different diameter lines that go through the different digits, how many of the five additions total over 1000?