All Tasks

[MOOC] The top-right diagonal

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

Modeling
5

[MOOC] 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

[MOOC] 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:
 
# Unassigned

Learning
6

[MOOC] 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...
 
# Unassigned

Training
5

[MOOC] Gauss stairs

The legend says that the young Carl Friedrich Gauss found a way to baffle his teacher by finding a way to sum all the integers between 1 and 100 in a matter of seconds. Do you know the answer?
 
# Unassigned

Reasoning
5

Graphs f(x)=ax²

The graphs of the image correspond to the functions f(x)=-2x², f(x)=$\frac{1}{2}$x², f(x)=$\frac{-1}{3}$x² and 3x². How affects the quadratic coefficient to the graphs?
 
# Quadratic functions

Training
8