To solve this problem, we need to calculate the result of each subtraction expression found on the purple path tiles. The goal is to find which difference matches a number inside one of the circles in the center of the board (the numbers 1 through 10).
Here are the calculations for each tile, moving roughly from the start:
Top Row:
* $13 - 4 = 9$
* $12 - 8 = 4$
* $12 - 5 = 7$
* $11 - 9 = 2$
* $13 - 6 = 7$
Right Side (going down):
* $14 - 6 = 8$
* $15 - 8 = 7$
* $15 - 4 = 11$ (Note: 11 is not on the central board)
* $13 - 10 = 3$
* $13 - 8 = 5$
Bottom Row (going left):
* $17 - 4 = 13$ (Note: 13 is not on the central board)
* $17 - 9 = 8$
* $11 - 8 = 3$
* $14 - 7 = 7$
* $10 - 6 = 4$
* $10 - 8 = 2$
Left Side (going up):
* $10 - 6 = 4$
* $14 - 3 = 11$ (Note: 11 is not on the central board)
* $16 - 1 = 15$ (Note: 15 is not on the central board)
* $11 - 1 = 10$
* $11 - 7 = 4$
* $12 - 6 = 6$
* $14 - 10 = 4$
Summary of Valid Moves:
Most of the subtraction problems result in numbers that appear on the central board (1–10). For example, you can move to spaces with
9, 4, 7, 2, 8, 3, 5, 6, and
10.
There are three expressions that result in numbers
not on the board ($11, 13, 15$). If you land on those tiles during the game, you likely cannot move your counter to the center because there is no matching circle.
Final Answer:
The valid differences calculated from the tiles are:
9, 4, 7, 2, 8, 3, 5, 6, 10.
Parent Tip: Review the logic above to help your child master the concept of printable subtraction games year 1.
