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by Brian Gladman on August 8, 2020

Sunday Times Teaser 3020 – Baz’s Bizarre Arrers

by Stephen Hogg

Published Sunday August 09 2020 (link)

“Bizarrers” dartboards have double and treble rings and twenty sectors ordered as on this normal dartboard. However, a sector’s central angle is [100 divided by its basic score]°. The 20 sector incorporates the residual angle to complete 360º.

Each player starts on 501 and reduces this, eventually to 0 to win. After six three-dart throws, Baz’s seventh could win. His six totals were consecutive numbers. Each three-dart effort lodged a dart in each of three clockwise-adjacent sectors (hitting, in some order, a single zone, a double zone and a treble zone). The three-sector angle sum (in degrees) exceeded that total.

The sectors scored in are calculable with certainty, but not how many times hit with certainty, except for one sector.

Which sector?

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