4.1. Cut a plate weighing 11 g into three pieces so that, using these pieces as weights, it is possible to weigh on balance scales any whole number of grams from 1 g to 11 g.

$(4-5$ grade.)
4.1. The plate needs to be cut into parts weighing 1 g, 3 g, and 7 g. To weigh 2 g, you need to place 3 g on one pan of the scales, and on the other pan - a 1 g counterweight and the substance to be weighed. For the other cases, we get: $4=3+1,5=7+1-3,6=7-1,8=7+1$, $9=7+3-1,10=7+3,11=7+3+1$.