In how many different ways can you break up a stick of 7 interlocking cubes? Now try with a stick of 8 cubes and a stick of 6 cubes.
Ben’s class were making cutting up number tracks. First they
cut them into twos and added up the numbers on each piece. What
patterns could they see?
One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?
Think of a number, square it and subtract your starting number. Is
the number you’re left with odd or even? How do the images
help to explain this?
A combination of logical thinking and trial and improvement helped Nicky, Bronya, Leila and Sheya to solve this problem.
Go to last month's problems to see more solutions.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.