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?
Suppose we allow ourselves to use three numbers less than 10 and
multiply them together. How many different products can you find?
How do you know you've got them all?
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
Fiona from Tattingstone has sent us her
She then goes on to predict whether she will
be able to draw the $9$-pointed star and gives a good
Liam, David, Joseph, Matthew, Chris and Yuji
at Moorfield Junior School have also begun to think about why you
can draw some stars but not others. They say that for any odd
number of points you start at any dot and then miss one out and
join a line to the next one. Then you go from that dot to the one
after the next. You keep repeating this, but only some even numbers
Matthew, Chris and Yuji say that even numbers
work if you skip out two dots each time. They go on to
say that this doesn't work for numbers in the
three times table, which is why we can't draw a