## All Tasks

#### Calculate abscissa with Pythagorean Theorem

Calculate the exact value of abscissa of point $\ {A}$.

# Pythagorean theorem

Learning

8

#### Lake modeling

In a lake, there are p fish. For each fish there are 20 fish eggs. Among the 20 fish eggs, just 7 hatch for each fish. Can you tell how many fish will be in the lake once the eggs hatch?

# Terms with variables

Modeling

7

#### Supportive task for "From natural to algebraic language"

How can we express with symbols an even and an odd number respectively?

# Natural numbers

Training

8

#### Challenging task for "from natural to algebraic language"

Translate the following sentence in algebraic language:
The quintuple of a number subtracted to its triple is equal to its double.

# Numbers & operations

Training

8

#### 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