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 dog is looking for a good place to bury his bone. Can you work
out where he started and ended in each case? What possible routes
could he have taken?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
What shape has Harry drawn on this clock face? Can you find its
area? What is the largest number of square tiles that could cover
Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Can you find an efficient method to work out how many handshakes
there would be if hundreds of people met?
Jacob thought very carefully about this problem and has sent a
Go to last month's problems to see more solutions.
What would you do if your teacher asked you add all the numbers from 1 to 100? Find out how Carl Gauss responded when he was asked to do just that.
Use the tangram pieces to make our pictures, or to design some of