1. Closed snake
Draw a continuos loop containing exactly one section in every row and column of the grid. Loop can not touch itself, not even diagonally. Numbers outside the grid show the length of corresponding section. Format of the answer: Write the direction of the path going right from top row using letter R, L, D, U (right, left, down, up). For example the answer will be: RDRDLULULU.
Score: 5 points. | |||||||||||||||||||||||||||||||||||

2. Square with differences
Put the numbers from 1 to 16 (every number is used exactly once) into the grid so that difference between neighbouring numbers (even diagonally) is not less 3. Three numbers are already placed. Format of the answer: Write the numbers in third line from top (it is marked) from left to right.
Score: 7 points. | |||||||||||||||||||||||||||||||||||

3. Minimax of skyscrapers
Place number 1-7 in every row and column. The numbers on the top and on the left indicate how many maximums and the number on the right and at the bottom - how many minimums there are on the corresponding line of digits. Format of the answer: Write the numbers in the diagonal from top left corner to bottom right corner. For example the answer will be 3,5,5,2,4.
Score: 6 points. | |||||||||||||||||||||||||||||||||||

4. Rhombuses in combs
Draw the rhombuses (each consists from four hexagons) so that numbers outside the grid show quantity of cells occupied by rhombuses in the corresponding line. Format of the answer: Specify the content of marked line from left to right using 0 for empty cell and 1 for cell of rhomb. For example the answer will be 000110.
Score: 8 points. | |||||||||||||||||||||||||||||||||||

5. Spiders
Put 9 spiders (do not rotate them) on nine pins so that they do not form closed areas. Format of the answer: Write the letter of spiders on the pins row by row. For example the answer will be DCBA.
Score: 9 points. | |||||||||||||||||||||||||||||||||||

6. Differences
Put the numbers 1-25 (every number is used exactly once) in the cells so that numbers in the circles show the difference between two numbers. Number in the green cell (left top) must be less then both neighbours. Format of the answer: Write the number of top line from left to right. For example the answer will be 3, 2.
Score: 8 points. | |||||||||||||||||||||||||||||||||||

7. Triangles
Place the numbers from 1 to 5 in the circles so that the centres of circles marked by equal number form isosceles right triangle. Some numbers are already placed. Format of the answer: Write the number from marked circles from left to right. For example the answer will be 2,3,3,2.
Score: 7 points. | |||||||||||||||||||||||||||||||||||

8. Words
Put the words given into the ovals so that words-anagrams (consisting from identical letters) were connected with dotted line, and metagrams (distinguished in exactly one letter) were connected with simple line.
Format of the answer: Write the words from two marked ovals.
Score: 7 points. | |||||||||||||||||||||||||||||||||||

9. Magic minesweeper
Place the figures (squares, circles, triangles and moons) in the diagram so that every row and column contain exactly one square, one circle, one triangle and one moon and the numbers in the diagram indicate (as in classical minesweeper) the number of figures in the neighbouring cells (even diagonally). There are no figures in the cells with number. Format of the answer: Write the content of marked line. Use letters S (square), T(triangle), C(circle), M(moon) for figures and 0 for empty cells. For example answer will be T0C0.
Score: 9 points. | |||||||||||||||||||||||||||||||||||

10. 2003
Cut the figure given (rectangle with two deleted cells) following the grid lines into minimum number of parts and construct from these parts 2003 as in example. Format of the answer: Write the number of parts first, then enter the content of the grid line by line, marking the cell with digit of corresponding part. For example the answer will be:
22233300, 00230000, 22230-00,20-30000,22230003, 33030003. Score: 8 points for best solution and 3 point's penalty for every superfluous part. For example, if the best solution have 9 parts, then score for solution with 10 parts will be 5 points and for 11 parts - 2 points. | |||||||||||||||||||||||||||||||||||

11. Numerical expressions
Move vertically one or more of strips not changing the order of them to form maximum correct arithmetic expressions in horizontal lines. Format of the answer: Write all correct expressions in order (from up to down). For example the answer will be: 4+1=5, 3x2=6, 7/1=7.
Score: 3 points for every correct answer over one. | |||||||||||||||||||||||||||||||||||

12. Time to collect stones
Draw a path from left top to bottom right corner which can not touch itself not even diagonally and passes through maximum cells with circle. Format of the answer:First write the number of missing circles and then describe you path giving the length and direction of all segments using letter U(up), D(down), L(left), R (right). For example the answer will be 4: 4D2R4U3L2D2R2D4L2D3R.
Score: 20 points minuses 3 points for every missing circle. |