## Όλα τα έργα

#### The sum of the 10 first squares

Look at these pyramids. They are made of square pieces, all of the same height, which is the depth of each step. Hence their volume is the sum of the squares. You have six of them to make a cuboid. If there are ten stairs, what is the size of this cuboid made of the six pyramids?

# Monomials & polynomials

Modeling

8

#### The turning points

Now, let's turn our attention to the corners, the turning points, alternating bottom-left, top-left, top-right and bottom-right, beginning with 1, 2, 3, 5, 7...

# Operations with natural numbers

Reasoning

5

#### Equivalent expressions

Which of the following expressions is equivalent to 3k+6?

# Numbers & operations

Reasoning

8

#### From natural to algebraic language

Translate the following sentence in algebraic language:
The square of an even number

# Numbers & operations

Training

8

#### Associative property for the sum

If a+b=9 then a+b+5=?

# Numbers & operations

Training

8

#### Uncle Scrooge monies

Uncle scrooge has a lot of money and he usually swim in it, if you know that there are 10000 monies of 1 euro, 15000 monies of 2 euro and 8000 monies of 50c and 2000 banknote of 5€, how much euros does he have?

# Operations with natural numbers

Training

4