All Tasks
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
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