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Pair Sums

Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

Operational Decision

Age 11 to 14 Short Challenge Level:

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.
You can find more short problems, arranged by curriculum topic, in our short problems collection.