Which symbol ($+$, $-$, $\div$ or $\times$) should replace $\oplus$ to make the following equation true?
$$ 1\times 2\times \left(3\oplus 4 + 5\right) \times \left(6\times 7 + 8+ 9\right) = 2006 $$
If you liked this problem, here is an NRICH task
that challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.