## Όλα τα έργα

#### Challenging task for Common elements in different expressions

What do the following mathematical expressions have in common?
$(x-2)^4; |-3|; 5; x^2+1.$

# Numbers & operations

Reasoning

9

#### Common elements in different expressions

What do the following mathematical expressions have in common?
$3 \cdot 5a$, $(x+y) \cdot 3$, $9v$, $3z+3w$, $\frac{6c}{2}$

# Terms

Reasoning

8

#### Modeling bakery

A baker cooks 9 apple pies and 12 chocolate pies for each gram of yeast he has in a day. Everyday 1/3 of the cooked cakes doesn't grow well, so the baker can't sell them. Can you tell how many cakes the baker can sell everyday for each gram of yeast he has?

# Terms with variables

Modeling

7

#### Let's walk it!

Choose the program that will walk Scratch the cat along the spirale of integers! (see the first hint for a reminder)

# Unassigned

Modeling

5

#### The cube

Written with this little fancy three up in the air, the cube of a number is simply this number multiplied by itself twice. For example $2^3=2\times 2\times 2=8$. Compute the cube of the following numbers:

# Monomials & polynomials

Learning

8

#### Sum of the 10 first cubes

Look at these cubes, of size 1, 2, 3,... Suppose they are made of squares, all of the same unit height. How can you spread these squares on the plane? If you have 10 cubes, what is the area tiled by all these cubes?

# Monomials & polynomials

Modeling

8