A hundred square has been printed on both sides of a piece of
paper. What is on the back of 100? 58? 23? 19?
Eight children each had a cube made from modelling clay. They cut
them into four pieces which were all exactly the same shape and
size. Whose pieces are the same? Can you decide who made each set?
Here are shadows of some 3D shapes. What shapes could have made
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
Well done to all of you who found both solutions to this problem.
We received some very well-explained solutions.
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