Reasoning
These are geometric shapes, the number of sides increases, and the words are reversed.
3 elgnairt = triangle
4 erauqs = square
5 nogatnep = pentagon
6 nogaxeh = hexagon
7 nogatpeh = heptagon
8 nogatco = octagon
?
Puzzle 54
You have a very large number of generic plastic building blocks, each in the shape of a cube.
Think about how many cubes you would need in order to construct a giant cube with 16 small cubes along each edge.
If you were to then remove the outside layer, how many small cubes would you have removed?
Reasoning There are 60 squares of size 1 x 1. There are 35 squares of size 2 x 2. There are 12 squares of size 3 x 3. There are 3 squares of size 4 x 4.
Giving a total of 60 + 35 + 12 + 3 = 110 squares.
?
Puzzle 56
Start in the bottom left corner and move either up or right, one square at a time, adding up the numbers. What is the largest total you can make?
1
4
2
2
1
2
4
3
1
3
4
3
2
1
4
2
1
2
1
2
2
3
3
1
4
1
3
1
2
1
3
1
4
3
4
2
2
1
1
1
1
3
3
4
2
3
2
2
Note: this puzzle is not interactive, and the numbers cannot be clicked.