Sunday Times Teaser 3055 – Proceed to Checkout
by Colin Vout
Published Sunday April 11 2021 (link)
The dartboard at the Trial and Arrow pub is rather different from the standard one: there are only 3 sectors, each with a positive whole number label, and no central bullseye scoring region. There are still double and treble rings: for instance, if the sector label is 3, a dart in that sector can score 3, 6 or 9.
As usual, scores are counted down from a starting value, the idea being to finish (“check out”) by reaching exactly zero. Players take turns throwing three darts, or fewer if they check out before that. Unusually, the checkout doesn’t have to finish on a double.
The lowest impossible checkout is the smallest value that can’t be achieved in one turn; on this board that value is 36.
What are the sector labels?