You have 27 small cubes, 3 each of nine colours. Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.
You can move the 4 pieces of the jigsaw and fit them into both
outlines. Explain what has happened to the missing one unit of
A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the cogwheel A as the wheels rotate.
Duncan from Warden Park School, Zach from
Rosemellin School and Stephen all got the minimal method for
achieving both targets $C$. Stephen explains his method for
Although all of you also found a method for
finding $d$, you did not find the minimal method, so using the
least possible counters and moves. Andy from the Garden
International School explains the minimal way of achieving the
Andy goes on to explain why you cannot achieve
further than $D$ on the grid provided.
Congratulations to Andy, can
you think of another way of reaching $D$?