### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Calendar Capers

Choose any three by three square of dates on a calendar page...

### Latin Numbers

Can you create a Latin Square from multiples of a six digit number?

# Symbol

##### Stage: 3 Short Challenge Level:

$3\oplus 5 = 3\times 5 + 3 +5 = 23$  and  $2\oplus x = 2x + 2+ x= 3x + 2$.

These are equal, so $3x + 2 = 23$, i.e.  $x=7$.

This problem is taken from the UKMT Mathematical Challenges.
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