What is the greatest number of squares you can make by overlapping
Ben has five coins in his pocket. How much money might he have?
Use the 'double-3 down' dominoes to make a square so that each side
has eight dots.
Investigate all the different squares you can make on this 5 by 5
grid by making your starting side go from the bottom left hand
point. Can you find out the areas of all these squares?
How many DIFFERENT quadrilaterals can be made by joining the dots
on the 8-point circle?
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
Take any four digit number. Move the first digit to the 'back of
the queue' and move the rest along. Now add your two numbers. What
properties do your answers always have?
Can you guarantee that, for any three numbers you choose, the
product of their differences will always be an even number?
We were very excited to find out about your ways of going about
this investigation which we hadn't thought of before.
Go to last month's problems to see more solutions.