The square in the figure is a mini-sudoku: the numbers 1, 2, and 3 must be written in the cells so that each of them appears in each row and in each column. Harry started to fill in the square. In how many ways can he complete the task?

A parallelogram is divided into two parts, P1 and P2, as shown on the picture. Which of the following statements is surely true:

Three diagonals are constructed on three adjacent faces of a cube, as shown on the figure. Which of the following nets is that of the given cube?

Download the full test paper from here: http://www.homesweetlearning.com/kangaroo/levels56/2007gr0506e.pdf