Nick is learning to drive on the training ground shown on the figure. He knows how to turn right but cannot turn left. What is the smallest number of turns he must make in order to get from point Ato point B, starting in the direction of the arrow?

From a wooden cube with side 3cm we cut out at the corner a little cube with side 1cm (see picture). What is the number of faces of the solid after cutting out such a small cube at each corner of the big cube?

Sixty six cats signed up for the contest MISS CAT 2013. After the first round 21 cats were eliminatedbecause they failed to catch a mouse. Of the remaining cats, 27 had stripes and 32 had one black ear. All striped cats with one black ear got to the final. What is the minimum number of finalists?

Download the full test paper from here: http://www.homesweetlearning.com/kangaroo/levels56/2013gr0506e.pdf