Basic rules to solve black and white culture fair 2D iq test problems similar to Mensa.

Elements and methods.

A problem consists of a 3*3 matrice with 9 2D images with properties. The ninth is missing.  Many images are built up on the basis of other images. Objects of them might have been exposed to operations from objects of other images. It is about to find the missing image based on the properties of the other 8.

We consider that an image can be split into the following objects:

                             Objects:

                             Line, shape, dot,  pattern, contour, side, share

The objects can be exposed by the following operations:

                       Operations:

                             Cut, paste, bend, fold, rotate, turn, displace, lean, move, flip-flop, mirror, resize, merge, grid move, fill up, intersect

                                  Aritmetic:

                                          Add, subtract, increase, decrease

                                  Logical:

                                          Compare objects of two images at the same position..

                                          And (is only true if both objects exist)
                                          or (is true if one or both objects exist)
                                          exclusive or (is true if only one of the objects exist)

                                           True means that the resulting object will contain the object.

The operations can be exposed on the following cells of the matrice:

                                  column, row, whole, diagonal, 3 irregular, 2 irregular

And have the following properties after the operation:

                          Properties:

                                Equal, different, bigger, smaller, size, position, symmetric, point to, number of, weight, hidden op, life nature,

Examples.

Example 1 (17 of iqtest 2).
Let's study the example below. You can see 9 squares. Each square contains 3 small circles. Compare with the operations one by one. You start by studying all the content of the cell. When you come to rotate you can see that's the one. The contents of each square  rotates a small angle to the right row by row starting from upper left square. The answer is one. You find it through shape - rotate - matrice.

Example 2 (28 of iqtest 1)

You see a line. After comparision with the operations you find bend. You also find that the bend-angle increases in the last column from row to row. The answer is 4.

Example 3 (8 of iqtest 1). 
The solution to this problem is to 'and' col 1&2 after col 2 is leaned. If you try to find the solution through the elements you should find it through:
line - lean - and - row

Example 4 (17 of iqtest 1). The solution is:  contour - equal - line - and

Example 5 (23 of iqtest 1). The solution is: whole - line - sum - equal

Tables.

In the following matrice we have put in all the basic elements. We have then put in all the 36 problems of iqtest 1 to demonstrate the process of solving the problems. At the bottom of the page you have an empty matrice.

Empty matrice: