Weekly quiz

This week's quiz has some numeric problems, aimed at those of you who will have spring break this week. Relax and enjoy solving these.

Find your way through the numerical labyrinth from the number 1 in the top left-hand corner to the number 25 in the bottom right-hand corner, obeying the following rules:

1. Movement from square to square must be either horizontal or vertical, never diagonal.

2. All of the numbers from 1 to 25 should lie on your path from the entrance to the exit of the maze. None of the numbers (including the initial number 1 and the final number 25) should be used twice, nor should any be left out.

4. Mark your route through the maze by circling the relevant numbers.Those squares which do not lie on your path could be crossed out.

1	2	7	16	5	19	7	8
10	17	23	9	21	13	6	23
15	4	22	17	20	4	18	22
19	17	11	24	3	17	8	19
12	9	7	14	23	18	12	6
6	5	23	14	10	5	2	23
8	20	10	11	19	18	1	17
2	24	15	22	13	4	4	25

This numerical puzzle is in fact a game for one player. It is based on a concept thought up by the Slovak author Emil Sveton. The board is made up of eight rows numbered from 1 to 8 and eight columns a to h. The notation for describing moves is the same as in chess. There are 36 numbers placed in the middle of the board. The basic principle is that a higher number can jump over a lower number to an empty square (for example, a 7 can jump over a 1,2,3,4,5 or 6 but not a 7 or an 8). The number which has been jumped over is removed from the board and its value (in points) is written down by the diagram alongside the move itself. The aim of the game is to get as many points as possible in ten moves. Individual jumps (moves) are written down in chess notation. So for the example shown in the diagram, you would write :

8
7	3	7	1	5	2	2
6	1	2	4	1	6	5
5	3	2	8	2	7	1
4	6	1	2	1	3	4
3	4	5	3	5	2	6
2	1	3	4	1	4	3
1

8
7	4	1	2	6	2	5
6	2	3	4	1	4	5
5	1	5	3	8	3	3
4	7	4	1	2	3	2
3	6	1	2	4	6	1
2	7	2	1	1	1	5
1

Fill in the digits 1 to 9 such that the number written in the right-hand side (right to the hiphen) of filled-in squares is the product of the digits in the empty squares to the right, and such that the number in the left-hand side (left of the hiphen) is the product of the digits in the empty squares below this number. The digits should be different in each multiplication (none of them should be used twice). As a hint, some of the digits are already filled in.( digits in blue color)

	5 -	27 -	336 -	35 -		120 -	540 -	12 -	8 -
- 126					- 384
- 90					120 - 30
	216 -	56 - 120	4		2		3	48 -	315 -
- 504				120 - 360
- 21			210 - 60				84 - 28
- 320			2			6 - 378
	6 -	28 - 120						14 -	45 -
- 42			3		- 30
- 840					- 189	1