Working systematically

A 1x2x3 block is placed on an 8x8 board and rolled several times.... How many squares has it occupied altogether?

Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?

Weekly Problem 11 - 2011
Kanga hops ten times in one of four directions. At how many different points can he end up?

When newspaper pages get separated at home we have to try to sort them out and get things in the correct order. How many ways can we arrange these pages so that the numbering may be different?

How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?

Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?

Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.

A student in a maths class was trying to get some information from her teacher. She was given some clues and then the teacher ended by saying, "Well, how old are they?"

What is the date in February 2002 where the 8 digits are palindromic if the date is written in the British way?

In the planet system of Octa the planets are arranged in the shape of an octahedron. How many different routes could be taken to get from Planet A to Planet Zargon?