You may also like

problem icon

Month Mania

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

problem icon

Neighbours

In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

problem icon

Page Numbers

Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

Picture a Pyramid ...

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you picture how many cubes are in each layer of the six-layered pyramid with 91 cubes in total?
Which layers will have a cube which is directly below cube 1?
Which layers will have a cube which is directly below cube 4? And cube 8?
You might find it useful to record the layers somehow.
Try comparing the positions of the cubes in the first and second pyramids. What do you notice?