Alle Aufgaben

Tischtennis in der Pause

Beim Rundlauf an der Tischtennisplatte sind noch die besten Drei im Rennen. Wie viele Möglichkeiten gibt es, sie auf die Plätze 1, 2 und 3 zu verteilen?
 
# Combinatorics

Training
13

Pflaster

Wenn du mit einem Stein des Pflasters 400cm² deiner Einfahrt pflastern kannst, wie viele Steine benötigst du dann um eine Fläche von 51,2m² zu pflastern?
# Numbers & operations
# Units & rounding

Training
5

The top-right diagonal

Likewise, looking at this spiral of numbers, find the few first items along the diagonal, beginning with 4, 16, 36,...
# Sequences
# Natural numbers

Modeling
5

What is bigger?

Consider the unit squares in the infinite square lattice in the plane on one side, and the integer numbers, as well infinitely many of them, on the other side. What can you say about them?
 
# Set theory

Modeling
13

The square

Written with this little fancy two up in the air, the square of a number is simply this number multiplied by itself. Compute the squares of the following numbers:
 
# Powers of integer exponent

Learning
6

The bottom-left diagonal

In the spirale of numbers, complete the sequence of numbers that appear on the bottom-left diagonal, starting from 1, then 9, then...
 
# Sequences

Training
5