Number Patterns



Pattern 1.

15,768 / 03,942 = 4
The fraction above uses all digits from 0 to 9 once.
Can you find another such fraction?

Pattern 2.

42 = 24,
is the solution to the equation ab = ba
Do any other values of a & b work?

Pattern 3.

(1 + 2 + 3 + 3 + 4 + 5)2
= 13 + 23 + 33 + 43 + 53

Pattern 4.

The decimal value of -      1/81 = 0.123456791234567912345679...
The result is a repeating decimal containing every digit from 1-9, except for 8.